17. Determine the equation f(x) = cosx as a sin function.

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Q: (a) Prove, by mathematical induction, that for every positive integer n, 2²² =2²(n+1)²,

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

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A: See the details solution in below

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Q: 5) -4<|2x+2 | ≤6 -a -2-2 -622x34 axs

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Q: 4. Now, let's assume that A, B, C, and D from above are each the resultant of 2 component vectors (x…

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Q: elimination of arbitrary constant хзуч- 16x2 уб +30c Fo

A: Need to eliminate the arbitrary constant c.

Q: Find the exact arc length of the curve over the stated interval. y=x²³ from x=1 to x=8

A: Please see the below picture for detailed solution.

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A: We have to solve the given system of equations.

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A: The objective of the question is determine the area bounded by the given function.

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A: NOTE: Refresh your page if you can't see any equations. . take derivative

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Q: Evaluate t9e²t5 dt.

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Q: 2. Below is the graph of f '(x), the derivative of f(x), and has x-intercepts at x = -3, x = 1, and…

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Q: lim x→0 (sin3x sin5x/x2) *without use of deritivatives or l'hospital's rule*

A: See the details solution in below

Q: 14. f(x)= a. b. C. d. lim 2--1+ f(x)= lim lim lim 3(x-3)²(x+4) lim f(x) = f(x) =

A: see below the answer and explanation

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A: We need to find Area.

Q: Evaluate the function g(x)=x²+4x for the given value of x. g(x+3) g(x+3)= X S

A: given that, g(x)=x2+4x evaluate g(x+3)

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Q: 1. If y=tanx, prove that y=2(y² +1)(3y² +1).

A: y =tanx y'''=2(y2+1)(3y2+1).

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A: The curve is given by: r(t)=2cos(t)i+2sin(t)j+tk

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A: The given function is fz=ln1+z.We need to write it in the form u+iv.

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Q: Q5/: Find the general solution of non-homogenous differential equation using Variation of Parameters…

A: Solution is given below:

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Q: 1:/Verify that the given function is harmonic and find it is harmonic conjugates so that (z) = u +…

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