Calculus Forum

Post thread
Join experts in discussion of calculus topics. This may include topics on Elementary functions, Calculating limits, derivatives and integrals. Optimization problems and Homework help is available.
MHB 231.12.3.19 angle between vectors
  • · Replies 3 ·
Replies
3
Views
2K
High School Confusion between ##\theta## and ##d\theta##
  • · Replies 8 ·
Replies
8
Views
2K
MHB Converge or Diverge? Proving I & II Limits
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Solving Riemann Sum Problem: Integral of x^x
  • · Replies 6 ·
Replies
6
Views
2K
MHB 231.13.3.75 Find the center of R
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Can I use the mean value theorem to prove that f>g for all x in (a,b)?
  • · Replies 10 ·
Replies
10
Views
2K
Undergrad How do I apply Chain Rule to get the desired result?
  • · Replies 4 ·
Replies
4
Views
1K
Undergrad Prove ln(x) <= x-1 for positive x
  • · Replies 9 ·
Replies
9
Views
14K
MHB 206.08.05.44 partial fraction decomposition
  • · Replies 6 ·
Replies
6
Views
2K
Undergrad Numerical Derivative Formula: X's Not Same Distance
  • · Replies 2 ·
Replies
2
Views
1K
MHB Limits with the natural logarithm
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad Which topics from precalc are essential for calc 3?
  • · Replies 7 ·
Replies
7
Views
2K
Undergrad Why Must Epsilon Be Greater Than Zero in Sequence Limits?
  • · Replies 5 ·
Replies
5
Views
2K
MHB Solve Limit with Square Root: \[\lim_{x\rightarrow -\infty }\sqrt{x^{2}+3}+x\]
  • · Replies 2 ·
Replies
2
Views
2K
High School Where Did I Go Wrong in Calculating the Kinetic Energy of an Asteroid Impact?
  • · Replies 17 ·
Replies
17
Views
2K
MHB Rate of Water Rise in Cone-Shaped Vessel
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad Chain rule and change of variables again
  • · Replies 3 ·
Replies
3
Views
1K
MHB Rigorous definition of "Differential"
  • · Replies 7 ·
Replies
7
Views
4K
MHB 206.07.05.88 Int rational expression
  • · Replies 6 ·
Replies
6
Views
2K
MHB Indefinite integration involving exponential and rational function
  • · Replies 1 ·
Replies
1
Views
1K
MHB Focusing on the I in I don't want to do this anymore
  • · Replies 8 ·
Replies
8
Views
2K
Undergrad Visual interpretation of Fundamental Theorem of Calculus
  • · Replies 5 ·
Replies
5
Views
2K
Undergrad Kronecker Delta and Gradient Operator
  • · Replies 1 ·
Replies
1
Views
4K
MHB Limit Product Evaluation: $\displaystyle \infty$
  • · Replies 2 ·
Replies
2
Views
1K
MHB What is the Range of the Function f(x) = (1+x)^0.6 / (1+x^0.6) for x in [0,1]?
  • · Replies 2 ·
Replies
2
Views
1K
MHB S4.854.13.5.47 Find symmetric equations, angle between the planes
  • · Replies 4 ·
Replies
4
Views
2K
MHB Show 2 functions have the same anti-derivative
  • · Replies 4 ·
Replies
4
Views
2K
Graduate Moments of normal distribution
  • · Replies 4 ·
Replies
4
Views
2K
Undergrad Using symbolic logic to learn calculus
  • · Replies 10 ·
Replies
10
Views
3K
MHB Is x^(2/3)(5/2-x) a Continuous Function for All Values of x?
  • · Replies 2 ·
Replies
2
Views
2K
Graduate Gaussian distribution characteristic function
  • · Replies 2 ·
Replies
2
Views
2K
MHB How Do You Differentiate $\frac{x \sqrt{x^2+1}}{(x+1)^{2/3}}$?
  • · Replies 7 ·
Replies
7
Views
2K
MHB 242.2q.3 Find the derivative (1+ln{(t))/(1-ln{(t))
  • · Replies 2 ·
Replies
2
Views
1K
MHB Area of Rectangle: Calculating with x=1.0 & x=1.5
  • · Replies 2 ·
Replies
2
Views
2K
MHB Finding Moment of Inertia for Solids: Sphere, Cylinder & Cone
  • · Replies 2 ·
Replies
2
Views
2K
MHB Are the Given Planes Parallel, Perpendicular, or Intersecting at an Angle?
  • · Replies 4 ·
Replies
4
Views
2K
MHB How to Integrate $\frac{1}{x(lnx)^2}$ Using $u$-Substitution
  • · Replies 1 ·
Replies
1
Views
1K
MHB Mass of a Torus in Spherical Coordinates
  • · Replies 1 ·
Replies
1
Views
2K
MHB What is the value of the triple integral for the given solid and region?
  • · Replies 1 ·
Replies
1
Views
1K
Undergrad Is (u,v) = (x square - x, x+1) a Parametric Form of a Parabola?
  • · Replies 2 ·
Replies
2
Views
1K
MHB Power series solution for Log(1+x)
  • · Replies 8 ·
Replies
8
Views
120K
Undergrad Why are functions not differentiable at holes?
  • · Replies 10 ·
Replies
10
Views
22K
MHB What is the Solution to the Complex Sum \sum_{n>1} \frac{3n^2+1}{(n^3-n)^3}?
  • · Replies 3 ·
Replies
3
Views
1K
High School Why is the use of absolute value in vector norms a matter of preference?
  • · Replies 15 ·
Replies
15
Views
2K
MHB How Do You Evaluate the Integral of a Rational Function?
  • · Replies 6 ·
Replies
6
Views
2K
Undergrad How do we compute an integral with a dot product inside ?
  • · Replies 2 ·
Replies
2
Views
3K
MHB 205.o8.14} what is the velocity when t=3
  • · Replies 4 ·
Replies
4
Views
2K
MHB S6.803.12.5.9 are lines parallel?
  • · Replies 1 ·
Replies
1
Views
1K
Graduate Deriving Expression for Differentiation and Summation in Special Case
  • · Replies 1 ·
Replies
1
Views
2K
MHB Find x for Differentiability of |x2-4x+3|
  • · Replies 6 ·
Replies
6
Views
2K
MHB S6.793.12.4.27area of a parallelogram
  • · Replies 4 ·
Replies
4
Views
2K
MHB S6.802.12.5.5 Find a vector equation and parametric equations
  • · Replies 3 ·
Replies
3
Views
2K
MHB Solving Trigonometric Limits: \[\lim_{x\rightarrow 1},\lim_{x\rightarrow -1}\]
  • · Replies 3 ·
Replies
3
Views
1K
Undergrad Analysis of a general function with a specific argument
  • · Replies 12 ·
Replies
12
Views
2K
MHB S6.793.12.4.33 Find the volume of the parallelepiped
  • · Replies 3 ·
Replies
3
Views
2K
Graduate Chain rule - legendre transformation
  • · Replies 1 ·
Replies
1
Views
2K
MHB S6.194.4.12.4.29 Find a nonzero vector orthogonal to plane
  • · Replies 11 ·
Replies
11
Views
3K
MHB Finding the x-value of Max, Min, & Inflexion Point
  • · Replies 1 ·
Replies
1
Views
1K
Undergrad Question about definite and indefinite integrals
  • · Replies 9 ·
Replies
9
Views
3K
MHB Stationary Points of x-2xsinx: 0-3pi
  • · Replies 1 ·
Replies
1
Views
1K
Undergrad Deriving the volume of a sphere using semi-circles
  • · Replies 5 ·
Replies
5
Views
2K
MHB What is the integral of $\frac{x^2-1}{\sqrt{2x-1}}$?
  • · Replies 5 ·
Replies
5
Views
2K
Undergrad How Can You Integrate x-Squared Without the Fundamental Theorem of Calculus?
  • · Replies 22 ·
Replies
22
Views
4K
High School What does it mean when a limit is finite
  • · Replies 4 ·
Replies
4
Views
6K
Undergrad Should we consider negative axis when finding the volume?
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad Finding a branch of a function in the unit disk
  • · Replies 13 ·
Replies
13
Views
2K
Undergrad Integrating sqrt(x) cos(sqrt(x)) dx
  • · Replies 8 ·
Replies
8
Views
5K
MHB 205_o6_05 How long does it take a rock falling from rest to reach a velocity
  • · Replies 5 ·
Replies
5
Views
4K
MHB Deriving expressions using double angle formula?
  • · Replies 1 ·
Replies
1
Views
2K
MHB F is continuous if and only if f is continuous at 0
  • · Replies 2 ·
Replies
2
Views
2K
MHB Is Set M1 Convex? A Proof Using Mathematical Induction
  • · Replies 2 ·
Replies
2
Views
2K
Graduate Why can't I use contour integration for this integral?
  • · Replies 5 ·
Replies
5
Views
2K
Undergrad What is the difference between these two approaches?
  • · Replies 4 ·
Replies
4
Views
3K
MHB S6.12.3.17 Find the angle between the vectors
  • · Replies 2 ·
Replies
2
Views
2K
MHB S6.12.3.35 Find the unit vectors
  • · Replies 2 ·
Replies
2
Views
1K
MHB Calculating the limits without the L'Hospital rule
  • · Replies 2 ·
Replies
2
Views
2K
MHB S6.12.25 find v in component form
  • · Replies 2 ·
Replies
2
Views
1K
MHB Limit of function containing integer part
  • · Replies 4 ·
Replies
4
Views
2K
Undergrad Heaviside Function: Clarifying H(x-a) & H(a-x)
  • · Replies 10 ·
Replies
10
Views
4K
Undergrad Why Do Implicit Differentiation Results Differ When Multiplying by x or y?
  • · Replies 4 ·
Replies
4
Views
2K
MHB How Does a 1% Increase in Dimensions Affect the Volume of a Slab?
  • · Replies 1 ·
Replies
1
Views
2K
MHB AP.6.1.1 A region is bounded between the graphs
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad PDE, heat equation lambda =,<,> 0 question
  • · Replies 1 ·
Replies
1
Views
2K
High School How were differential equations for SIR Models calculated?
  • · Replies 3 ·
Replies
3
Views
1K
MHB Is This Trig Substitution Correct for This Integral?
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Establishing Limits for x in Green's Theorem Practice Questions
  • · Replies 3 ·
Replies
3
Views
1K
Undergrad Convergence of Taylor series in a point implies analyticity
  • · Replies 1 ·
Replies
1
Views
2K
MHB S6.12.11 Find an equation of the sphere
  • · Replies 2 ·
Replies
2
Views
2K
MHB Integral that converges or diverges?
  • · Replies 2 ·
Replies
2
Views
1K
MHB Divergent or Convergent Integral
  • · Replies 2 ·
Replies
2
Views
2K
MHB Does expression equal 0 when value approaches 0?
  • · Replies 2 ·
Replies
2
Views
2K
MHB Are There Global Extrema for These Functions?
  • · Replies 10 ·
Replies
10
Views
3K
Undergrad Evaluate using Leibniz rule and/or chain rule
  • · Replies 4 ·
Replies
4
Views
2K
Graduate A problem about branch cut in contour integral
  • · Replies 3 ·
Replies
3
Views
3K
Undergrad Applying Chain Rule to a function of two variables
  • · Replies 3 ·
Replies
3
Views
3K
MHB 205.o6.03 Find the body's displacement and average velocity
  • · Replies 8 ·
Replies
8
Views
4K
Undergrad Can the Complex Integral Problem Be Solved Using Residue Theorem?
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Problem with this estimation lemma example
  • · Replies 5 ·
Replies
5
Views
2K
MHB 206.r2.11find the power series representation
  • · Replies 3 ·
Replies
3
Views
2K
MHB Is the series $\sum_{k=1}^{\infty}\frac{\arctan(2k)}{1+4k^2}$ convergent?
  • · Replies 4 ·
Replies
4
Views
2K