Differentiation Questions and Answers

54 5 2 3 The function graphed above is decreasing on the interval X x 2 X The inflection point is at x 5 5 X

Use sigma notation to write the Maclaurin series for the function COS TIX

10 a b Find the Taylor polynomial P4 for f x In x at xo 1 1 x 1 x 1 x 1 x 1 1 1 x 1 x D x 1 x 1 c x 1 x 1 x 1 x 1 1 d x 1 x 1 x 1 x 1

estion 4 2 points For each of the following series select the best series to compare for using the limit comparison test 00 n 1 9n n 3n 2n 1 n 1 1 N 2 3 A 9n 3n n 713 2

43 46 Expressions Involving Inverse Trigonometric Func tions Write the given expression as an algebraic expression in x 43 sin 2 tan x 44 tan 2 cos x

11 16 Lowering Powers in a Trigonometric Expression Use the formulas for lowering powers to rewrite the expression in terms of the first power of cosine as in Example 4 11 sin x 12 cos x 4

Let f be the function defined by f x for f x sin t t dt Find an expression

Match functions a through d with their surfaces below a f x y cos xy 1 x y c h x y b g x y In x y 1 d p x y 1 x y a Determine the graph of f x y cos xy Choose the correct graph below O A OB O C

If f x is a linear immm Question Help

Write a polynomial f x that satisfies the given conditions Polynomial of lowest degree with zeros of 4 multiplicity 3 3 multiplicity 1 and with f 0 960

d Calc I Ch 4

For 5 8 refer to the parallelogram Write answers only using a b c d and their multiples 7 d c O C Od Ob O d a O b 18 C b d

For 5 8 refer to the parallelogram below Write answers only using a b c d and their multipl 8 2c b O d No answer text provided a 18 10 b

Using ALL your knowledge of rational functions sketch a graph of the following functions Use min and max critical numbers and table 1 b f x x 2x x 2

Without using a calculator find all the solutions of 1 3 where t T tan t

Determine the derivative of h t 3 cos t 4 sin t L A