Recent content by syeh

Homework Statement the maclaurin series for f(x) is given by 1/2! - x2/4! + x4/6! - x6/8! + ... + (-1)nx2n/(2n+2)! + ... a) Let g'(x) = 1-x2 * f(x) Write the Maclaurin series for g'(x), showing the first three nonzero terms and the general term. b) write g'(x) in terms of a familiar...

Homework Statement The graph of the polar curve r=2-cosΘ for 0≤θ≤2pi is shown in the figure. (attached) a) write an integral expression for the area of the region inside the curve b) write expressions for dx/dΘ and dy/dΘ in terms of Θ c) find dy/dx as a function of Θ d) write an equation in...

Homework Statement if the series ∑(n=1, goes to infinity) (-1)^n/(n^3) is approximated by its ninth partial sum, find a bound for truncation error Homework Equations Alternating Series Estimation Thm: If alternating series is CONVERGENT, then truncation error for nth partial sum is less than...

Thank you

Homework Statement A partcile starts att he point (1,0) and t=0 and moves along the x-axis so that at time t≥0 its velocity v(t) is given by v(t)= \frac{1+ t}{(1+t^2)} A) Determine the maximum velocity of the particle. B) Find an expression for the position s(t) of the particle at time t...

ok, I see. So i took dw/dt = kw and got ∫1/w dw = ∫k dt lnw = kt + C Using (0,2) to find C: ln2 = C Using (4, 3.5) to find k: ln3.5 = 4.5k + ln2 4.5k = ln(1.75) k=1.124 So, lnw= 0.124t + ln2 w=2e^(0.124t) to plug in 6 months: w(6)= 4.218 How come I didnt get the correct...

What do you mean, dw/dt=kw? by using (0,2) and (4,3.5), how would i solve for w(t)??

Homework Statement Suppose that during the first year after its hatching, the weight of a duck increases at a rate proportional to its weight. The duck weighed 2 pounds when hatched, and 3.5 lbs at age 4 months. How many lbs will it weight at 6 months? A) 4.2 lbs B) 4.6 lbs C) 4.8 lbs D)...

Homework Statement The line x-2y+9=0 is tangent to the graph of y=f(x) at (3,6) and is also parallel to the line through (1,f(1)) and (5,f(5)). If f is differentiable on the closed interval [1,5] and f(1)=2, find f(5) A) 2 B) 3 C) 4 D) 5 E) None of these The correct answer is (C) 4The Attempt...

Homework Statement An equilateral triangle with side length x sits atop a rectangle with a base length of x, with the base of the triangle coinciding with the top base of the rectangle. the height of the rectangle is 7 times the length of its base. If the combined area of the figures is...

thanks. i used the Pythagorean theorem and found the length to be 2.084!

thanks. i see how Pythagorean's theorem works. But i am still confused how to find when the function is closest to the origin.??

Question: Particle A is resting on the origin. Particle B travels along the path of f(x)=-cos(x-7)+3. What is the minimum distance that the particles can be apart? Attempt: I tried to find the minimum of f(x)=-cos(x-7)+3. So I found when the derivative is 0: dy/dx= sin(x-7)...

Homework Statement A represents the 1st quadrant area bounded by f(x)=e^(-tanx), y=.01, y=.09, and the y-axis. Write an integral expression for the volume of the figure that results from revolving A around the line x=30. Homework Equations The Attempt at a Solution So, I know that I have to...

How do you find average acceleration given a table with points of velocity (ft/sec)? t (sec): 0 15 30 45 60 v(t) (ft/sec):0 40 60 70 75 the question asks: Find the average acceleration of Rocket A over t=[0,60] seconds. I used change in v(t)/change in time to find 4...