2011 calculus bc free response

If you're seeing this message, it means we're having trouble loading external resources on our website. To log in and use all the features of Khan Academy, please enable JavaScript in your browser. Donate Log in Sign up Search for courses, skills, and videos. AP Calculus BC

If you're seeing this message, it means we're having trouble loading external resources on our website. To log in and use all the features of Khan Academy, please enable JavaScript in your browser. Donate Log in Sign up Search for courses, skills, and videos. AP Calculus BC About About this video Transcript. Volume of a solid of rotation and Chain Rule for rates of change. Created by Sal Khan.

2011 calculus bc free response

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This is a non-zero term. If you multiply something by 4 and divide by 4, you haven't changed its value. AP Calculus BC

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If you're seeing this message, it means we're having trouble loading external resources on our website. To log in and use all the features of Khan Academy, please enable JavaScript in your browser. Search for courses, skills, and videos. AP Calculus BC About About this video Transcript. Lagrange error bound for Taylor Polynomial approximation. Created by Sal Khan.

2011 calculus bc free response

If you're seeing this message, it means we're having trouble loading external resources on our website. AP Calculus BC Arc length for a curve. So let's draw some axes here to just make sure and you wouldn't obviously have to do this if you were doing it under time pressure during the actual AP exam but my point here to make sure we all are understanding what's going on. Well they tell us; x 0 is 0 so x is 0 and y 0 is -4 so we're at the point 0,

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Created by Sal Khan. So we can actually evaluate this integral analytically, it's not too bad. Log in. AP Calculus BC And then the seventh the derivative at 0 is going to be 0. Let's find the first four non-zero terms of the Taylor series for cosine of x about x equals 0. Well, it's going to be the surface area of the disk times the depth. We are going to evaluate it from 0 to k. Brian Liu. So this is times 4e to the 4k, is the derivative. So we did this first part.

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And this is going to be h prime of x. But this essentially gives us everything we need to know. Use this series and the series for sine of x squared, which we found right over here, sine of x squared-- actually, I think we wrote it, this is the series for sine of x squared when we simplified it. Downvote Button navigates to signup page. So it's essentially one step ahead of where we were with g of x. To log in and use all the features of Khan Academy, please enable JavaScript in your browser. So this is straight up from the chain rule. So I'll write this 1 over here. Downvote Button navigates to signup page. It's a fourth degree term. These guys cancel out.