Let F(x)= dx. Then 1/2 2 + cos(12) F(T) is a 211 b. TT c.1-17 Flav...
4. Integration: TT (a) Si Jachtvoz dx (b) sin x dx (6-cos x)3 (c) , (2-2)' (3) dx (d) St(t - 5)8dt 6x7-x*+VX-4 dx x2
TT 4. (9 points each) Integration: (a) Si vachtvasz dx (b) Số 6 cos x) sinx dx 26-2)' ()dx (d) St(t – 5)8dt (e) 56x?=***V7-4 dx
Evaluate (T/4 sinº (2x) cos (2x) dx. 17/12 Round your answer to 2 decimal places if necessary. For what value of kis the area under the graph of y = 3x2 + 4kx between x = 0 and x = 1, equal to 3? Round your answer to 2 decimal places if necessary. Evaluate 1 x (x + 2x + 1) dx. Jo Evaluate cos (T) da. Cvaluate 5 (23 + 4) dx.
I. Let f : R2 → R be defined by f(x)l cos (122) 211 Compute the second order Taylor polynomial of f near the point xo - 0. A Road Map to Glory (On your way to glory, please keep in mind that f is class C) a) Fill in the blanks: The second order Taylor's polynomial at h E R2 is given by T2 (h) = 2! b) Compute the numbers, vectors and matrices that went into the blanks...
Jo (2-x) dx 12. (3pts) Let f(t) be a continuous function. Find the derivative of y = f(x).Sh(t) dt. 12
ingedit (-Scoscan) sex = 7 Select one: TT a. wla TT 3 cos(f)dt 0 O b. Z TT 2 cos(t)dt 21 C. 3 cos(t)dt TT d. 3 л 2 Sv2 cos(?)dt
It is known that Fourier series of f(x)=Ixlis 2 cos(2n-1)x (2n-1)2 on interval [ - TT, TT). Use this to find the value of the infinite sum 1 + 1 25 49 1 1 + + +
Exercise. Let C be a curve drawn by: f(t) = (t?,tt) Find the length of the curve drawn by f as t runs from 0 to 1: length =
Suppose B is between A and C and| f(x)dx = 3.6 and J f(x)dx = 12. what isJg f(a)dx? Sketch a possible diagram to justify your response. (6 points) Suppose B is between A and C and| f(x)dx = 3.6 and J f(x)dx = 12. what isJg f(a)dx? Sketch a possible diagram to justify your response. (6 points)
If Si f(x)da = 12 and so f(x) = 2.8, find si f(x)dx. Question 2 1 pts Let f(x)dx = 6, S. 8(x)dx = -4, S g(x)da = 12, g(x)dx = 9 Use these values to evaluate the given definite integral: (+1) da