(1 point) Let f(t) = cos(224) - 1 Evaluate the 9th derivative of f at 2...
ı need a correct answer please be careful.thank u cos (222) - 1 (2 points) Let f(2)=-*** Evaluate the 6h derivative of flat x = 0. f (0) = 1 Hint: Build a Maclaurin series for f(2) from the series for cos(a).
3) Let F(x) = {* In In(1+t) dt. t (a) Find the Maclaurin series for F: (b) Use the series in part (a) to evaluate F(-1) exactly and use the result to state its interval of convergence. (c) Approximate F(1) to three decimals. (Hint: Look for an alternating series. )
Question 2, non-calculator Question 1, calculator The curve C in the x-y-plane is given parametrically by (x(t), y(t), where dr = t sine) and dv = cos| t The Maclaruin series for a function f is given by r" for 1 sts 6 a) Use the ratio test to find the interval of convergence of the Maclaurin series for f a) Find the slope of the line tangent to the curve C at the point where t 3. b) Let...
4. Let f be a differentiable function defined on (0, 1) whose derivative is f'(c) = 1 - cos (+) [Note that we can confidently say such an f exists by the FTC.) Prove that f is strictly increasing on (0,1). 5. Let f be defined on [0, 1] by the following formula: 1 x = 1/n (n € N) 0, otherwise (a) Prove that f has an infinite number of discontinuities in [0,1]. (b) Prove that f is nonetheless...
9 - sin (1 point) Find the derivative of f(x) = 5 - COS f'(x) = Preview My Answers Submit Answers You have attempted this problem 0 times. You have 2 attempts remaining. Email WebWork TA
(1 point) Find the Fourier series expansion, i.e., f(x) [an cos(170) + by sin(t, x)] n1 J1 0< for the function f(1) = 30 < <3 <0 on - SIST ao = 1 an = cos npix bn = Thus the Fourier series can be written as f() = 1/2
Let f(2) V4.1 +3. f(0) - f(a) Using the definition of derivative at a point, f'(a) = lim enter the expression needed to find the derivative at = 1. > - a f'(1) = lim 11 After evaluating this limit, we see that f'(1) = Finally, the equation of the tangent line to f(x) where x = 1 is Enter here (using math notation or by attaching in an image) an explanation of your solution. Edit - Insert Formats BI...
1. Find the Maclaurin series for I cos . 2. Evaluate [1/(1+24)]dr as a power series.
Evaluate the Maclaurin series representing the integral. 0.1 0 )-1 cos 2x dx 0.1 0 )-1 cos 2x dx
Find the derivative 1.) X(+) = cos(+²) 2.) X(t) = cos(( exp (-+)7²) 3.) × (t) = cos(-exp (+²) 4.) X(t) = cos (exp(+²)) sin(t) s.) X(t) = cos (cos(+)) exp(-t)