Given f (x) = |x| for x € [-,1 Show that cos(2n – 1)x (2n – 1)2 4 |x\ = ; 2 n=1

Q: Find F as a function of x and evaluate it at x = 0, x = π/6, and x = ¹/2. X 6²c F(x) F(0) F(T) =…

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Q: Given t2 – 1 - f(x) = dt 1+ cos?(t) At what value of x does the local max of f(x) occur?

A: Given that      f(x) = ∫0x[(t2-1)/1+cos2(t)]dt  Here we have to find at which value of x does the…

Q: For which of the following function(s) is it true that 3 3 f(x) dx = 2 . | f(x) dx -3 Select all…

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Q: Suppose f(x) is the function such that for a > 0 we have f(x) = (e" – 1) In(x) and for x < 0 we have…

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Q: 1 and LEFT LEFT USE A LEFT Approximate the area under the curve f(x) = -0.3x² + 20 between x = x = 5…

A: As per the question we are given the following function : f(x) = 0.3x2 + 20 Now we have to…

Q: b) [F(x) then find f(x). If 3 In(x)/ sin(3x) − 3e³ + x² + 3. - f(x)dx= 3 ln([x]) + 3x + C

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Q: Calculate cos(u) for the following choices of u(r): CoS u(z) = 6 – z². cos(u(x)) =| COS - u(z) %3D z…

A: SOLUTION-

Q: What is true about the function f(x) = a) f(x) → 2 from below

A: Introduction: When a variable approaches its limit from the right, the function's right-hand limit…

Q: if -2 <x< 0 f(x) dx where f(x) = 4 x2 if 0 < x< 2 -

A: This question is based on definite integral properties.

Q: Given f (x) = |x| for x E [–n, 1] Show that 4 cos(2n – 1)x |x| = 2 E - - - (2п — 1)2 n=1

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Q: Let f"(x) = x'/A cos(x), /(0) = 2, and f(1) = 2. Is it true or false that 7=-73+ cos(x) + 28…

A: The answer of above solution is option A. i.e true.

Q: Let F(s) = 1 (2s − 1) (2s − 3) - Find f(t) = L-¹[F(s)]

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Q: (a) Let f(x) = (3x – 7) *". Find f2®(x). 49 (b) Let g(x) = cos(9x +2). Find gº" (34) '(x).

A: Consider the part (a): Consider the following function: fx=3x-749…

Q: By using Rodrigue's formula, prove the following relation Ph+1(x) – Ph-1(x) = (2n + 1) P,(x) 4- %3D

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Q: On a piece of graph paper, create an amplitude vs. time graph of a sine wave with an amplitude of 5…

A: Formula: Frequency=1Period. Given: Amplitude = 5 Pa Period(T) = 0.03 sec. To find: Frequency(f).

Q: Let F(x) = cos tdt. Use the Fundamental Theorem of Calculus, Part 1 to find F1(x). x cos x² 2x cos…

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Q: If f(x) = an(x – 1)²n for all æ, then f'(3) is equal to n=0 OA. 2nan-122n-1 n=1 В. 2 2na,22n n=1 OC.…

A: According to the problem, we have

Q: What is the average of f(x)=2 cos (x) + 2 e between x=-3 and x=2 12- 10- -3 -1 00 8 6 2- 0 T 1 X 2

A: Q

Q: 4. Let f (g(x)) = (3x – 5)² + 1 and g(f(x)) = 3x² – 2. Find a single formula for f and a single…

A: We have given that f(g(x))=3x-52+1 and g(f(x))=3x2-2. We have to find for single formula for f and a…

Q: Q1. For each of the following, determine which of these choices is correct. (A) The evaluation of f…

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