Prove that (3-2)(x+2) = 3+2i ifitues.

Q: 1-). 25 2-) 3+4i 3-1

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A: We need to find integral.

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A: The solution is given below

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A: Using the chain rule and rule of partial derivative and get the required derivative.Final solution…

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A: Given that       f(x,y) = e1-x^2-y^2

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A: To find the length of the given three dimensional curve.

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A: See this solution in below

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A: Please see the below picture for detailed solution.

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Q: The Doyle Log Rule is one of several methods used to determine the lumber yield of a log (in…

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Q: 3. Find the Laplace transformation of the function: f(t) = cos (2wt) cos (3wt). Hint: write cos(20t)…

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Q: Use polar coordinates to find the limit. [Hint: Let x = r cos(8) and y = r sin(8), and note that (x,…

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Q: Q1: Answer two only (A): Solve the following linear equations by Cramer's rule: x+y+2z=1 2x-y-z=0 x…

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Q: C): Solve the following equations:- (1) sin 2x + 2 sin² = 1 (2) sech x - 4 tanh x = 1

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Q: Evaluate the integral and check your answer by differentiating. x8+8x5 - 1 x7 S dx = +C

A: To find out the integration.

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A: The given function is;  f(x)=(-x+1)/x3 over the interval [-3,-1].

Q: Find the absolute maximum and absolute minimum values of f on the given interval. a)…

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Q: f'(x) = (x+3)(12 - 1)(x - 14) Then the first relative extremum (from the left) for f(z) occurs at z…

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) x + y lim (x,y) → (0, 0) x²…

A: To evaluate: lim(x,y)→(0,0)x+yx5+y

Q: 2 cy² = x² + y

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Q: dy Q5: Find for the following functions: dx (3) y = ex.sin² x In√x

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Q: At what rate is the angle between a clock's minute and hour hands changing at 7 o'clock in the…

A: To find: Rate of change of angle between a clock's minute and hour hand at 7 AM. In other words, the…

Q: Solve the initial value problem 25y" - 40y' + 16y = 0, y(0) = 2, y'(0) = 3. y(t) = = How does the…

A: We have to find the solution of given initial value problem.

Q: (C): It w = tan x and x = 4t³¹ +t: Find d?

A: Given that w=tanx  and x=4t3+t. We have to find dwdt. We can write,  dwdt= dwdxdxdt  [ using chain…

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Q: Sketch the function. v(x) = 0.2(x-3)²(x+2)³

A: We can answer the question as below.

Q: Solve the initial value problem y" + 4y + 4y = 0, y(-1) = 5, y'(−1) = 6. y(t) = =

A: The given initial value problem is y''+4y'+4y=0,  y(-1)=5, y'(-1)=6

Q: L) Prove that (3-2)(x+2) = 3 +21 iFitwas

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Q: -2y²z3,-4xyz3, -6xy²z²)

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Q: Q1: Fill in the blanks for the following statements (chose five only) 4n 1. lim→∞ 2n+1 log10 (3x -…

A: The objective of the question is fill the blanks.

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A: According to the question we need to find out the volume of revolution of the curve.

Q: A boat purchased for $25,000 depreciates exponentially. After one year, the car is valued at…

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Q: Q2: Solve the following integrals: (3) dx

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Q: Given the equation 5 sin 6xy = 3, evaluate dy Assume that the equation implicitly defines y as a…

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Q: Find dy ду é^sinx in sx

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Q: + 2 .4 i ti ti ti ti + i _ ។ { / - 1 "

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Q: (B): If A = 2i + 3j - 4k; B = 3i - 4j + 5k and C = i + j - k, find: (ii)B.C (iii)A. (B+C)and (A+B).C…

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Q: Which of the following statements is (are) false? A) A basis is a spanning set that is as large as…

A: Please see the below picture for detailed solution.

Q: Q2: Solve the following integrals: (3) √ √dx dx (4) fxe* dx

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Q: Q4: Answer two only: 2 1 -1 (A): I A=2 -2 Find AB and AC : - 1²/2 3 11 -2 -2 and 2 -- }

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Q: Find the lengths of the missing sides if side a is opposite angle A, side b is opposite angle B, and…

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Q: Q5: Find for the following functions: dx (1) In(x - y) = xy + y³;

A: We have to find the dydx of the given function.