Find the formula of cos 3z and cosh 3z using (cos z, sin z) and (cosh z, and sinh z).

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Q: Evaluate the integral. dx S (4x+715 1 + C 24(4x+7)6 4 + C 4(4x+7)4 1 16(4x+7)4 4 + C 4(4x+7)5 +C

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A: To solve the limit problems involving the function f(f(x)), we need to evaluate the function f(x)…

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Q: (6)

A: Let x=520​x5=20x5−20=0This can be rewritten as:f(x)=x5−20=0So, we define the functionf(x)=x5−20And…

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Q: Please show how to solve and write what you are doing in each step

A: Step 1:Step 2:Step 3: Step 4:

Q: 2. Solve a. f b. S C. S. dz 22-25 dx 9-4x-x2 dx x²+6x+16 d. S e. S dx dx √25-x2

A: ### Part (a): ∫z2−25dz​This is a standard integral that can be solved by using partial fraction…

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A: First, we need to find the derivative of x(t) with respect to t. The derivative of a function…

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Q: □ Consider the initial value problem y = 3 + 4 +2, y (0) -3 Fuse Fuller's methool with n = 2 to…

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Q: Use a graph to estimate the limit limθ→0 sin(7θ)/θ All angles will be in radians in this class…

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A: ## Analyzing the Problem**Given:** A function `f(x)` and the task is to find the following limits…

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A: Step 1: solution of first Step 2: solution of second Step 3: Step 4:

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Q: 2 Find the second derivative of y = 1½ cos² x. Oy" = COS x 2 y" = COS X sin² x cos² - Oy" = sin² x =…

A: Q.Consider, y=21​cos2x Differentiate with respect to x. y′=21​dxd​(cos2x) Use formula:…

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A: Solution-

Q: Find the indicated limit. lim (6t² - 7t+1) 8-42

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Q: f(x) = x=3 2 3 ≤ x ≤ 5 9 verify that f(x) is a probability dense function b) Find the cumulative…

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A: Step 1: Understand the ProblemWe need to find the equations of the tangent lines to the curve y=x2…

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Q: please evaluate the following integrals

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Q: Evaluate the integral. S dx - √x2 - Sx+7 O 0 sin tan sin-1 sin C + C 3 +C C

A: If you have any problem let me know in comment box thank you.

Q: 1, 0 ≤ x ≤ 1, 1. Find the Fourier sine series and Fourier cosine series for f(x) = on the lx+1, 1< x…

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Q: Hi, could you solve this question?

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Q: 29. Find all functions M such that the equation is exact. a. M(x, y) dx + (x² - y²) dy = 0 b. M(x,…

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A: (15):Step 1: (16):Step 2:(a):(b): (17):Step 3:(a):(b): (18):Step 4:

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Q: 3 2 1 0 3 3. -1 2 -2 ♡ 2 2-2 ♡ 3 -3 -3 -2 -1 0 1 2 3 X

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Q: If a and b are positive real numbers, what is the value of 3 Liner lgebra lim (1+2) %

A: If you have any problem let me know in comment box thankyou.