Transforming - Ⓒ S 1 = ²2²1dz 1+z² ℗ B / 1 + 2/2 d -dz 1-z² Ⓒ *2-2z² 1+z² (A) dx secx + C-²₁- -dz using miscellaneous substitution will yield to 1

Q: Find Laplace Transform for 1-f(t) = 2t³; 2-f(t)=3e-²¹. 4-f(t)=2 cos(3t). 3– f(t)=sinh(2t); 5-cosh…

A: We have to solve given Questions.

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A: Follow the procedure given below.

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Q: (x²-3x+1) dx

A: Given that ∫23x2-3x+1dxSolution :∫23x2-3x+1dxx33-3x22+x23333-3322+3-233-3222+2

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A: Use the definition of domain of function

Q: ff. W Ex] Let f(x) = 4x²+2x²+x+3 and :f(x), g(x) € 75[x] f(x). g(x). g(x) = 3x² + 3x²³² + 3x² + x…

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Q: 9. f(x) = (2x5-2x+2)/(x²-3)5

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A: We have to find out derivative and integral

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A: see below the calculation

Q: Find the solution of y" − 8y' + 16y = 0, y(0) = 1 and y'(0) = 5. y(t) = Ae4t + Be-4t y(t) = e4t+te4t…

A: The given equation is;  y''-8y'+16y=0, y(0)=1 and y'(0)=5.

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A: Given query is to find the slope of the line.

Q: 2) x² + y² - 16x + 18y +96= 0

A: Here we havw to convert standard form,  2) x2+y2-16x+18y+96=0

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Q: Find Maclaurin series for the following functions Ans. Σ 2) 5 sin(-x) Ans. (-5x)" n! 5(-1)"(-x)2+1…

A: The given function is 5sin(-x). Repost the next question.

Q: 1. Let f{x«y} = v/r? + y? oa a) Find Ꭷf of Để ông Ꭷf of of Ꭷf Ꭷx2 0x0y` Ꭷyòx' dy2 b) Find 2. Find an…

A: We are allow to solve one question at a time . If you need rest of answers please upload it…

Q: ~ f ² f (x) dx = -5 and Given than (A) None of the given choices B) √ f (x) dx = 8 © [²] f (x) dx +…

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Q: 0 ✓1+13xdx

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A: Given

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Q: sinh x tex cosh x + ex In the indefinite Integral Sin(cosh x + e*)- dx, what is the integrand?

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A: here lets assume width of rectangle is b length of rectangle is 2b width change is db/dt = 43 m /…

Q: Sx² + 4 ; x<2 Question (4): Using the definition, determine whether the function f(x) = (3x + 2 = ;…

A: here we have to check from left hand side of x = 2  and right hand side of x = 2 it means lim…

Q: 6 4 3 5 9 7 10 ^ - :: ³ - 1 - - [H] A = 1 3 C B 6 4 2 0 8 11 5 2 if D=C-A, then the element d13 is:…

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A: solution is here

Q: 1. f(x) = f(x) = 2. = (3x-9)(2x-5) (x-3) 5x +8 (3x+5x)²

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Q: Determine the area bounded by  f(x)=x^2 -x and x-axis.

A: Explained below

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Q: Evaluate the line integral, where C is the given curve. Lexy² ds, C is the right half of the circle…

A: Solution: I=∫cxy4ds

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Q: * (ارفق الاجابة) The eigen value of matrix 1 -1 O 1+i, 1-i O 1+i, 1+i O 1,-1 11 1-i, 1-i

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Q: Obtain a formula that expresses the integral [cos". cos" x dx

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Q: Find the slope of the line if it is defined. Through (6,10) and (6,-3) Select the correct choice…

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Q: Suppose that the payment services company PayBuddy makes R (t) = 900t² + 300 dollars per second when…

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Q: Please answer

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Q: A triangle has variable sides x, y, z subject to the constraint such that the perimeters is fixed to…

A: answer is in next step

Q: Given A B D [ f(x) dx = 0 and -1 7 55 11 5 1 √ ² f(x) dx = 11 evaluate 0 √²3f(x) dx - dx-₁2f(x) dx.…

A: Solved below.

Q: Find the area bounded by x²y = x² - 4 and x-axis, from x = 2 to x = 4.

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Q: dy ssuming 5x³ +9y² − 4xy = 0 defines y as a differentiable function of x, use the theorem == dx Fy…

A: Given query is to find the derivative at indicated point.