What is the exact point of intersection of the curves f(x)=x^5-x^3 and g(x)=sin(x), when x>0? This...

What is the exact point of intersection of the curves f(x)=x^5-x^3 and g(x)=sin(x), when x>0? This is for a Calculus II Maple Lab, for the volume of revolution for x>/=0 about x=pi.

Expert Solution

This is graph of both functions showing the point of intersection of both graphs.

Green represents, y=x^5-x^3 ; and

Violet represents, y=sin(x) ;

So Exact point of intersections are (1.228, 0.942) and (-1.228,-0.942) (correct upto 3 decimal place).

I prefer solving integration problems theoretically, so instead of using Maple I solved it using pen, I hope you will be satisfied with what I've done and Thanks for asking questions. Keep asking.

Colby Messinger answered 4 months ago

Given f(x) = sin^2(x) and g(x) = sin^4(x) (give exact answers for all parts): a) Plot...

Given f(x) = sin^2(x) and g(x) = sin^4(x) (give exact answers for all parts): a) Plot the functions on the x-interval [0, π]. Find the volume when the region enclosed by the curve and the x-axis is rotated about the line x = π. b) Find the area of the region. 1?b Aa and y = 1? b 1(f(x)2 −g(x)2)dx. Find the x-coordinate of the center of Aa2 mass of the region. In a print statement, explain why this answer...

If f(x) = exg(x), where g(0) = 3 and g'(0) = 4, find f '(0).

If \(f(x)=e^{x} g(x),\) where \(g(0)=3\) and \(g(0)=4,\) find \(f(0)\)

Let f(x) = 5x+3 and g(x) =2x-5. Find (f+g)(x),(f-g)(x),(fg)(x), and (f/g) (x). Give the domain of...

Let f(x) = 5x+3 and g(x) =2x-5. Find (f+g)(x),(f-g)(x),(fg)(x), and (f/g) (x). Give the domain of each. (f+g) (x) = (f-g)(x) = (fg)(x) = (f/g)(x) = The domain of f+g is_ The domain of f-g is_ The domain of fg is _ The domain of f/g is _ Please at the end provide showed work.

Consider the function f(x)f(x) whose second derivative is f''(x)=5x+10sin(x)f′′(x)=5x+10sin(x). If f(0)=4f(0)=4 and f'(0)=4f′(0)=4, what is f(5)f(5)?....

Consider the function f(x)f(x) whose second derivative is f''(x)=5x+10sin(x)f′′(x)=5x+10sin(x). If f(0)=4f(0)=4 and f'(0)=4f′(0)=4, what is f(5)f(5)?. show work

Find the point of intersection of the tangent lines to the curve r(t) = 5 sin(πt),...

Find the point of intersection of the tangent lines to the curve r(t) = 5 sin(πt), 2 sin(πt), 6 cos(πt) at the points where t = 0 and t = 0.5. (x, y, z) =

Let f(x)=−(3x^3+8) (a) List the critical point(s) of f= (b) f′(x)>0f′(x)>0 for x∈= (c) f′(x)<0f′(x)<0 for...

Let f(x)=−(3x^3+8) (a) List the critical point(s) of f= (b) f′(x)>0f′(x)>0 for x∈= (c) f′(x)<0f′(x)<0 for x∈= Note: the answers to the above questions can be a value, a list of values, an interval, a union of intervals, or "NONE" if no values exist.

f(x)=0 if x≤0, f(x)=x^a if x>0 For what a is f continuous at x = 0...

f(x)=0 if x≤0, f(x)=x^a if x>0 For what a is f continuous at x = 0 For what a is f differentiable at x = 0 For what a is f twice differentiable at x = 0

Let f(x)=3x^3−7 A) List the critical point(s) of f= B)f′(x)>0f′(x)>0 for x∈= C)f′(x)<0f′(x)<0 for x∈= D)The...

Let f(x)=3x^3−7 A) List the critical point(s) of f= B)f′(x)>0f′(x)>0 for x∈= C)f′(x)<0f′(x)<0 for x∈= D)The local maxima of ff occur at x= E)=The local minima of ff occur at x= nstructions: For part (1), give your answer as a single value, or a list of values, or the word none . For parts (2) and (3), give your answer as an interval or a union of intervals, such as (0,1) or (-inf, 2) U (3,4), or the word none....

At what point is the function f(x)= |3-x| not differentiable.

Find the 5th Taylor polynomial of f(x) = 1+x+2x^5 +sin(x^2) based at b = 0.

Question