MATH 110 Midterm: Math 110 Exam 2 V2

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turquoisegnu128

31 Jan 2019

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Document Summary

This test is a closed-book test; you are allowed to use a calculator but please remember to show all work. Be sure to look at all problems before deciding which to do rst. Note that some problems are easier than others. You may use the backs of the pages if you need additional space. Be sure to show your work: (30 points, find the fourth derivatives of (i) f (x) = 5x + 3 x2 + 1: y = ( x + 1)(x2 + 1, (30 points) a spherical balloon is increasing at a constant volume rate of 7 cubic inches per minute. It is determine that the monthly demand for its best selling toy increase by 4000 units for every sh. 10 reduction in price. Use this to nd the demand function and total revenue function.

Related Questions

1. (30 pts) (I) Calculate the derivatives of the following functions. NO NEED TO SIMLIFY ! (a) (8 pts) y = x tan-1 (x5) (b) (8 pts) y = xsin x (II) (14 pts) The curve with equation is a "rotated ellipse". x2 + xy + y2 = 4 (a) Use implicit differentiation to find the derivative (b) Consider the two points (3, -1) and (2, -2). Show that one of these points lies on the ellipse defined above, and one does not. (c) For the point in part (b) which lies on the ellipse, find the equation of the line tangent to the ellipse at this point.

please please answer all parts