What is Calc 3: Definition and 106 Discussions

The calc-alkaline magma series is one of two main subdivisions of the subalkaline magma series, the other subalkaline magma series being the tholeiitic series. A magma series is a series of compositions that describes the evolution of a mafic magma, which is high in magnesium and iron and produces basalt or gabbro, as it fractionally crystallizes to become a felsic magma, which is low in magnesium and iron and produces rhyolite or granite. Calc-alkaline rocks are rich in alkaline earths (magnesia and calcium oxide) and alkali metals and make up a major part of the crust of the continents.
The diverse rock types in the calc-alkaline series include volcanic types such as basalt, andesite, dacite, rhyolite, and also their coarser-grained intrusive equivalents (gabbro, diorite, granodiorite, and granite). They do not include silica-undersaturated, alkalic, or peralkaline rocks.

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  1. A

    Calc 3, area of an ellipsoid slice

    This isn't homework or anything, I just want to understand the question better. Homework Statement The Attempt at a Solution I'm honestly not sure where to go with this. Is this an integral problem? As I understand it I'm finding the area of a slice, not a volume of the whole...
  2. S

    Calc 3 planes- not really understanding the problem/solution?

    Homework Statement The problem states to find an equation of the plane consisting of all points that are equidistant from (-1,3,-1) and (-2,-3,03) and having -1 as the coefficient of x. The Attempt at a Solution I actually got the solution by finding a vector using the two...
  3. S

    Basic calc 3 problems, vectors and planes

    Homework Statement 1)show that the lines l1 and l2 intersect and find their point of intersection. l1: x+1=4t y-3=t z-1=0 L2: x+13=12t y-1=6t z-2=3t 2)The plane through the points p1(-2,1,4),p2(1,0,3) that is perpendicular to the plane 4x-y+3z=2 3)Find the distance between the given skew...
  4. A

    Calc 3 Vector Problem: Finding A and B with Given Coordinates and Midpoint

    I mostly just want to know if I did this correctly... And if not, where I went wrong. Homework Statement Of \overline{U}=(-2, 6) is the vector \overline{AB} and the midpoint of the line segment from A to B has the coordinates (2,1). Find A and B. Let \overline{A}=(a1, a2) \overline{B}=(b1...
  5. T

    Parallel/Orthogonal in Calc 3.

    Homework Statement Let vector 'v'=<1,-1,5> and vector 'w'=<40,-19,-1>. Represent 'w' in the form of 'w'='g'+'h', where 'g' is parallel to 'v', and 'h' is orthogonal to 'v'. This is related to the dot product. But I don't know where to begin Homework Equations 'v' is a vector. 'g'...
  6. D

    Calc 3 (parametric equations) My answers won't match/can't find arithmetic error

    two questions. I know I'm doing the work right, but I can't get my answers to match and they are pretty close. I think it's just some arithmetic errors. Help? I've been trying to solve my mistakes forever. I can't find them! Homework Statement Use the parametric equation of an ellipse x =...
  7. W

    Can Someone Verify My Calc 3 Practice Exam Solutions?

    Calc 3 exam tomorrow! Check my solutions please! Takeing a practice exam but don't have the solutions, anyone who could verify my solutions would be appriciated! First problem Find the scalar equation of the plane that passes through (2,-1,0) and is perpendicular to the line x=1-t...
  8. estro

    Tangent plane to a sphere [easy calc 3 question]

    Homework Statement I know that x+y+z=0 is a tangent plate to my sphere at (0,0,0). I want to find the tangent plane for my sphere at (1,-2,3).Homework Equations Suppose that his is my sphere (x-a)^2+(y-b)^2+(z-c)^2=R^2 (a,b,c) is the center of my sphere while R is the radius of it. The Attempt...
  9. M

    Is this legal in math? (calc 3)

    Homework Statement I got a quiz back today, and i disagree with a lot of the things that my professor graded, but this one really made me upset. (direct link, some can't see http://forum.bodybuilding.com/attachment.php?attachmentid=3329041&d=1304709473) Homework EquationsWhat happened there...
  10. U

    2nd derivative test-critical points calc 3

    Homework Statement r=(1-x)(1+x) Find and classify all of the critical points Homework Equations D=fxx-fyy-(fxfy)^2 (can't read my notes to well or find it on the internet) The Attempt at a Solution r=-x^+1 f'= -2X f"=-2 Because -2<0 There is a maximum(1), I don't know the...
  11. K

    Roller Derby Calc 3 problem

    2. If y(t) is the vertical distance traveled at time t, then the same reasoning as used in Problem 1shows that v2= (2gy)/(1+I*) at any time. Use this result to show that y satisfies the differential equation dy/dt=sqrt(2g/(1+I*))*(sin alpha)*sqrt(y) where a is the angle of inclination of...
  12. T

    Brushing up for Calc 3 - Concerns

    Hi I wanted to take calc 3 this summer and i want to start brushing up as I took calc 2 back in spring 08. I was wondering if there are infinite series in a typical calc 3 course? If so I need to brush up on them. Also concerning the laundry list of different integration techniques for the...
  13. A

    Need help in finding Limits of Integration (Calc 3)

    Need help in finding Limits of Integration! :) (Calc 3) Homework Statement Evaluate Integral: f * n dS, where "f" and "n" are vectors and "*" is DOT PRODUCT. Where, where (a) f = (x2, ey, 1), S: x + y + z = 1, x ≥ 0, y ≥ 0, z ≥ Homework Equations ummm none The...
  14. A

    Calc 3, Linear Algebra, Diff e q, physics 2 together?

    Hi guys, Do you think it's a good idea/possible to take Physics 2, Differential Equations, Linear Algebra, and Multivariable Calculus together in one semester?
  15. C

    Calc 3 Prep for ODE: Fund Differential Eqn & BVP

    What calc 3 topics will I need to learn before taking ODE? I'm going to be taking both at the same time and I want to know if there is stuff I need to be familiar with before starting. The class is using Fund of Differential Equations & BVP by Nagle (5th ed) and I have no syllabus yet.
  16. H

    What is the Vector with the Same Direction as Given Vector but Length 6?

    Homework Statement Find a vector that has the same direction as the given vector but has length 6. ‹4, 2, -2› Homework Equations L = ((x-i)^2+(y-j)^2+(z-k)^2)^.5 The Attempt at a Solution For some reason I am just stuck. I don't know how to start. I assume L =...
  17. R

    Do I understand Stokes' theorem? (Calc 3)

    Here's where I try to explain Stokes' theorem in my own words and you tell me if I'm right / what I need to clarify on. Essentially, it's a method to compute a line integral around a closed curve in three dimensions, with a given vector field F, without having to parametrize this field and...
  18. K

    Calc 3- Triple Integral using cylindrical coordinates

    Use cylindrical coordinates to evaluate the triple integral , sqrt(x^2+y^2) where the region integrated is the solid bounded by the circular paraboloid z=9-16(x^2+y^2) and the xy-plane. I'm having trouble deciding what the bounds for r would be.
  19. T

    Implicit derivative of function, calc 3

    Homework Statement Find dy/dx ; sqrt(xy) = 1 + yx^2 or 0 = 1 + yx^2 - sqrt(xy) Definition : dy/dx = - F_x / F_y; A = F_x = 2xy - 1/2 (xy)^-0.5 * y B = F_y = x^2 - 1/2(xy)^-0.5 * x Then dy/dx = -A / B But the answer according to the book, is this : 4(xy)^-1.5 - y...
  20. W

    Calc 3: Motion in xy plane question

    Homework Statement In the xy plane, where distances are measured in feet, a 96 lb object is moving from left to right on the curve y=e^-x. At t-0 its speed is 6ft/s and is speeding up at (square root of 8) ft/s^2. what is the total force on it at that point? Give floating point values for...
  21. Z

    General true of false questions about vector function in calc 3

    Homework Statement a. the derivative of a vector function is obtained by differentiating each component function b. if r(t) is a differentiable vector function, then d/dt the magnitude of r(t) = the magnitude of r'(t) c. the binormal vector is B(t) =N(t)xT(t) d. if k(t)=0 for all t, the...
  22. Z

    Reparametrizing a Curve with Respect to Arc Length

    Homework Statement reparametrize the curve r(t)=e^t*i+e^t*sin(t)*j+e^t*cost*k with respect to arc length measured from the point (1,0,1)in the direction of increasing t Homework Equations arc length= integral( r'(t) from a to b) The Attempt at a Solution i don't know how to start...
  23. N

    Calc 3 partial derivative review for PDE's class

    [b]1. Homework Statement I am suppose to use polar coordinate data to find derivatives, ie x = r cos(theta) y = r sin(theta) r^2 = x^2 + y^2 [b]2. Homework Equations show dtheta/dy = cos(theta)/r show dtheta/dx = -sin(theta)/r...
  24. J

    Calc 3 review material suggestions

    Can anyone give me some suggestions of some essentials, calc or non-calc, that I should review and be comfortable with in calc 3? I know trig sub is supposedly important, and I'm assuming other basic derivative/integration techniques will be coming up a lot too...a lot of topics are bound...
  25. L

    Should i review calculus before taking differential equations/ calc 3?

    I took calc 2 6 months ago... and I am just wondering which parts of calc 1,2 i should review for both diff eqns and calc 3. should i also review linear algebra? which parts? (ie: eigenvectors, eigenspaces, row reduction)? also what content is heavy in diff eqns and/or calc 3? should i review...
  26. A

    Finding a Force using the dot product/projection (Calc 3)

    Homework Statement This is from Larson's Calculus Early Transcendentals 4th Ed (Pg. 786) A 600-pound boat sits on a ramp imclined at 30 degrees, as shown in Figure 11.32. What force is required to keep the boat from rolling down the ramp? Homework Equations The solution gives the...
  27. C

    Calc 3 - outward flux question

    The region in question is bounded by: the cylinder (x^2)+(y^2)=(R^2) the parabola x = y-((y^2)/R) the planes z = H, y = 0, and z = 0 and the velocity field is: F = yz(i)+xz(j)+xy(k) and we need to calculate the outward flux of the field of the region at z = H (the top of the...
  28. N

    Diff Eq vs Calc 3: Which is Harder?

    I really do apologize if this is in the wrong place. A long story short, At my school Calc 3 is a 4 creidt course with a lab and I really don't have room to fit it in my schedule next semester. But I can fit in Elementary Diff Eq. My question would be is it better to take a (much) harder...
  29. J

    Calc 3 question (binormal, normal vectors)

    Hi, this is a calc 3 question. I know the binormal is given by B = T x N where Binormal vector, B Tangent vector, T Normal vector, N Also, B = (R'(t) x R''(t)) / | R'(t) x R''(t) | T = R'(t) / | R'(t) | Does that mean N = R''(t) / |R''(t)|?
  30. M

    [Calc 3] Gauss' Law for Elecricity over a hemisphere

    Hello, Thank you very much for takign the time to help me out. This is an applied calculus 3 (multivariable calc) level problem. I have an answer, but it is nonsensical as the units are not in accordance with units of charge, C. Homework Statement Instructions: Use Gauss' Law for...
  31. H

    Where to take calc 3 online in the summer?

    Anyone know an online school/program that offers this?
  32. L

    Calc 3 Factoring a Trig equation

    can you somehow factor the following equation ? sqrt(9sin^2(t)+16cos^2(t)+1/4)
  33. A

    Triangle Inequality: Prove ||a-b|| for R^n

    Homework Statement Using the triangle inequality show that for all vectors a, b, c in R^n: ||a-b|| <= ||a - c || + ||c - b || (a, b, c are vectors) Homework EquationsThe triangle inequality states: ||a+b|| <= ||a|| + ||b|| The Attempt at a SolutionIm really not sure what to...
  34. L

    Schools Calc 3 from High School Student

    Hello ya'll, new to these forums but I've been reading around and enjoyed what I've read. Wanted to get some feedback about some classes coming up this semester. I'm a Sr. high school student, and will taking one class at the HS (AP Bio), and 4 at a college nearby. I took AP Calc BC and...
  35. J

    How to Determine the Max and Min Volume of a Box Using Lagrange Multipliers?

    Homework Statement i needed to find the max and min possible volume for a box with edges that = 200cm and surface area that = 1500cm^2 using Lagrange multipliers.Homework Equations edges: 4x + 4y + 4z = 200cm Area: 2xy + 2xz + 2yz = 1500 cm^2 Volume = xyzThe Attempt at a Solution i brought it...
  36. A

    Solving a Calc 3 Problem: Finding a Level Surface at (1,-2,0)

    This is a problem I got from a Stanford class in calc 3: Let f(x,y,z)=xyz+3. Find an equation of the level surface that passes through the point (1,-2,0). This is as far as I have gotten: The constant for the level surface will be k = xyz + 3 = (1)(-2)(0) + 3 = 3. The equation is thus 3...
  37. F

    Calc 3 vs. Differential Equations

    I want to start by saying that I know this may be perceived as a "stupid" question, but I'm quite curious... What class more difficult...Calc 3 or DE? I'm into my final week of Calc 3, and next week I start DE. I decided to take both during summer sessions as I did this for Calc 1-2 last...
  38. B

    Self-Study vs Honors Calc 3 for High School Senior

    I'm a senior in High School, and took BC Calculus as a Junior and this last semester a 1-semester Calc 1&2 honors class, mainly for those those who took AB in High School at the University of Utah. (It's surprising how bad you can do on the AP test and still get a 5). I'm signed up for the next...
  39. A

    Boost Your Calc 3 Test Performance: Find Practice Questions & Answers Online

    Hi, I was wondering if there is a bank of test of questions (and answers) available on the internet. I do all my assigned homework and more but I find that the questions on the tests require a lot more insight than the assigned problems or most of the problems in the textbook. I figure it...
  40. C

    Taking Calc 3 w/out taking calc 2?

    hopefully this is the right place to ask this. But do you think I would be able to handle calculus 3 (multivariable) without taking (formally) calculus 2? I'm going to be a high school senior next year, and I've taken a class in calc 1. I've self studied the material in calc 2 and it doesn't...
  41. T

    Solving 3 x √27 = 3^N to Finding the Value of N

    Hi how do I go about finding out what N is to 3 x √27 = 3^N this can be written as 3 x (√3 x √3 x √3) which makes 9√3 = 3^N now where though i presume n must be a fraction somthing like x/2 ? x is a number? Is this right. How do i go about finding the answer?
  42. M

    Calc 3, double integrals, how do they find the bounds of the graph to integrate?

    Hello everyone, I'm having issues figuring out how you find the bounds of each of these graphs, I have the solution manual but I still don't see how they did it. For example: The directions say to evaluate the double integral:http://img241.imageshack.us/img241/903/scan0001nx8.jpg On the...
  43. M

    Havn't taken calc 3 in about a year now having to take vector calc, any adivce?

    Hello everyone. Awhile ago I took honors calc 3, but only the 2 credit course, not the 4 becuase computer engineering didn't require the 4 credits. But now that I switched to computer science I have to take the 2nd half of calc 3 but I don't remember hardly anything. This is the description...
  44. T

    Calc 3: Strokes Therom Orientatio Question

    Homework Statement F(x,y,z) = (x^2y^3z)i +(sin(xyz))j +(x^2yz)k S is the part of the cone y^2=x^2+z^2 that lies between the planes y = 0 and y = 3, oriented in the direction of the postive y-axis My question deals with orientation (see below sec 3) Homework Equations \int_c F dr =...
  45. W

    Work Problem, Line Integral Fun (Calc 3)

    Homework Statement Find the work done by the force field F(x,y) = x*sin(y) i-hat + y j-hat on a particle that moves along the parabola y = x^2 from (-1,1) to (2,4). 2. The attempt at a solution Please see attached file. The answer I get seems really, really, complicated and I have a...
  46. W

    Work Done in Circle - Why Not Zero? (Calc 3)

    Homework Statement Find the work done by the force field F(x,y) = (x+2y^2)j as an object moves once counterclockwise about the circle (x-2^2+y^2=1 by first evaluating the integral directly then use Green's Theorem and evaluate the double integral. Homework Equations W = F*D*cos(theta)...
  47. B

    Calc 3 questions concerning Normal and Tangent unit Vectors

    heres is one problem i did, i photo'd it so i wouldn't have to worry about it... Am I doing it right? any problems can you see :-/ on like the 8th/9th line, I don't think I can do what I did... http://img130.imageshack.us/img130/1332/test076ze.jpg Sooo
  48. W

    Help w/ eval of calc 3 problem

    eval. double integal sprt(1+x^2+y^2)ds S is helicoid and r(u,v) = ucos(v)i+usin(v)j+vk, with 0 <=u<=4 and 0<=v<=4pi help please i don't know what a helicoid is!
  49. JasonJo

    What Are the Different Coordinate Systems Used in Calculus?

    1) Rewrite the following expression in polar coordinates: (second derivative of z with respect to x) + (second derivative of z with respect to y) where x=rcos(theta) y = rsin(theta) i had first derivative of z with respect to x = (dz/dx)(dx/dr) + (dz/dx)(dx/d(theta)) same concept for...
  50. M

    Calc 3 directional derivative question

    The question asks: Find the directional derivative of f (x, y, z) = z ln (x/y) at (1, 1, 2) toward the point (2, 2, 1). What I did was find the distance between the two points to be the directional vector (i+j-k) and then I took the norm of the direction vector. so my unit vector =...
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