Math: Calculus
You are given the four points in the plane A = (5,-6), B = (9,1), C = (14,-6), and D = (19,2). The graph of the function f(x) consists of the three line segments AB, BC and CD. Find the integral f(x)dx from 5 to 19 by interpreting the integral in terms of sums and/or differenc...
Math: Calculus
Estimate the area under the graph of f(x)=x^2+2x from x = 4 to x = 10 using 3 approximating rectangles and left endpoints. I got 290.25 as my answer but it's wrong. Would someone explain to me how to answer this question.
Math: Calculus
Estimate the area under the graph of f(x)=3x^3+5 from x=-1 to x=4, first using 5 approximating rectangles and right endpoints, and then improving your estimate using 10 approximating rectangles and right endpoints. I'm having problem with using the midpoint to find the are...
Math: Calculus
Never mind i got it.
Math: Calculus
That's the problem. I have no idea. The question is exactly like i posted it here. I did the same thing but i realized i wasn't given a value of what it should equal to. I was hoping there a different way of solving this problem
Math: Calculus
The velocity function is v(t)= t^2-5t+ 4 for a particle moving along a line. The position function s(t) is an antiderivative of the velocity function. Find the displacement, s(6) - s(-3), by the particle during the time interval [-3,6].
Math: Calculus
The velocity of a car is f(t)=7t meters/second. Use a graph of f(t) to find the exact distance traveled by the car, in meters, from t = 0 to t = 10 seconds
Math: Calculus
Consider the function f(x) whose second derivative is f''(x) = 8x + 4sin(x). If f(0) = 2 and f'(0) = 2, what is f(x)? I got... f'(x)=4(x^2 - cos[x]) and f(x)=(4(x^3 - 3sin[x]))/3 but it's wrong. Can anyone explain to me how to solve this.
Math: Calculus
I don't know why but the answer is wrong.
Math: Calculus
Given f''(x) = 4x - 3 and f'( -3) =2 and f( -3)=-1. Find f'(x) =______ and find f( 1) =_____
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