2. Find the square roots of the complex number: Z=3+4√7 i

Q: The given family of functions is the general solution of the differential equation on the indicated…

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Q: 12. Integral x² dx x³ +4

A: Given the integral,        ∫x2 dxx3+4

Q: 1. Find the area bounded by r = cos 0 for -π/2 ≤0 ≤π/2. 2. Find the length of the r(t)= , 1 ≤ t ≤ 5…

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Q: Find the derivative of the following function. 8x e y= In 4x y'=

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Q: I. Integration by Parts. Evaluate the following integrals. 3. sin (In x)dr

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Q: Let [ f(x) dx = 5, -6 Find and -3 [ f(x) dx = -4.5 -4.5 -3 6 (5 f(x) - 6) dx = f(x) dx = 6, f(x) dx…

A: The given integrals are;  f(x) , limit from -6 to -1.5. f(x), limit from -6 to -4.5. f(x), limit…

Q: R is the region bounded above by the function f(x) = −2x+1 and below by the function g(x) = 2x/3 − 8…

A: Area bounded by two functions f(x) and g(x) over the interval [a, b] can be determined as…

Q: 9. y = logs (e cos(2x))

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Q: ४ = (y3/2/3) - y¹/2 from y = 1 to y = 9

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Q: Given the functions: f(x) = 7x g(x) = x+2/ h(x) Evaluate the function (g-h)(-4) for the given value…

A: Given :fx=7xgx=x+2hx=1x+5

Q: Use the graph of f(x) to determine the following limits. The domain of f(x) is x E R. If the limit…

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Q: In Exercises 101-108, assume that each sequence converges and find its limit. 101. a₁ = 2, an+1 102.…

A: The objective of the question is determine the limit of the given sequence.

Q: 1 3x (2x + = + ₁). x+1 Find k'(x) if k(x) = 3x (2x + Provide your answer below: k'(x) =

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Q: By using partial method solve [ 2x² cos x dx

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Q: Let k(x)=f(x)g(x)h(x). If f(−2)=−5,f′(−2)=9,g(−2)=−7,g′(−2)=8,h(−2)=3, and h′(−2)=−10 what is…

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Q: Solve equation: 4 sin x + 3 cos x = 5

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Q: Let f be a function with continuous second partial derivatives and define: = = ƒ (xy³, 12) f if you…

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Q: 7.(a) f(x) tan (In x) + 52 7.(b) f(x) = log2 (tan r) + In (¹)

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Q: Find the coordinates of the points of inflection for the function. 14) f(x) = 7e-x²

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Q: x² - xy (x,y) (0,0) √√√√y If it exists, find lim Answer: .Write DNE of the limit does not exist.

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Q: 1: A :Find Laplace Transform of f(t) = sin²t By Rule.

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Q: Use the formula for the binomial series: to obtain the Maclaurin series for V1 + x. Ο 1- O Ο 00 1 +…

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Q: Solve x + 13| ≤3 the following inequality and graph the solution set. Select the correct choice…

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Q: for (#)(x). 100. Find the restrictions in the domain, if any, for then select all answers that are…

A: It is given that: h(x)=x2-5x-24,j(x)=5x+15

Q: The figure shows a region in the complex plane. Write an algebraic description of the shaded region.…

A: Given :Center : Z0=4+i

Q: III. Partial Fraction Decomposition: Evaluate the following integrals using partial fraction…

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Q: a. Use limits to find the derivative function f′ for the function f. b. Evaluate f′(a) for the given…

A: The given function,    fs=5s3+3s, a=-3

Q: Q1.B. if k-1 is an eigen value of (2), find one corresponding eigen vector?

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Q: Let (w, x, y, z) = wxy + x² tan z and a = (1, -2,3,4). Then w(a): .₂(a) = -6 -2 8 60 -8 1-1 2 , (a)…

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Q: The right-endpoint approximation of the area under the curve of f(x) = x² over the interval [0, 2]…

A: fx=x2 over the interval 0,2 for n=4

Q: A trough is 12 feet long and 3 feet across the top (see figure). Its ends are isosceles triangles…

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Q: A population of a small city had 3000 people in the year 2000 and has grown at a rate proportional…

A: In this question, we will use growth topic of differential equations.

Q: A fast-food restaurant has a cost of production C(x) = 14x + 126 and a revenue function R(x) = 8x.…

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Q: Evaluate √t (3t-t²) dt

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Q: 1- Let n and r be positive integers such that r≤n. Then (a) Pn=nx pn-1 (c) P = pn n-1 (b) P = P-1…

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Q: e Transform of f(t) = sin²t By Rule.

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Q: tank has pure water flowing into it at 10 liters/min. The contents of the k are kept thoroughly…

A: Please refer to the image below

Q: II. Trigonometric Substitution. Evaluate the following integrals using trigonometric substitution.…

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Q: 9. Integral (2x-5) dx x²5x+3

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Q: Solve the system of equations by any method. -3x+6y= 27 x - 2y = -9 Enter the exact answer as an…

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Q: Determine the area enclosed by y = from x= -3/2 to x = 1. |- 1 x+2 and y = (x + 2)²

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Q: Write an equation of the line that satisfies the given conditions. Give the equation (a) in…

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Q: A region bounded by f(y) = 2y + 3, y = 1, y = 3, and x = 1 is shown. What is the volume of the solid…

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Q: Find fæxyzz for f(x, y, z) = z³y² ln(x). [Show your solution.] Select one: O O O x² 6z²y x² 2z³y x²…

A: See this solution in below.

Q: Evaluate f 10x(x² the following antiderivatives + 5) 7dx

A: The given integral is;  10x(x2+5)7.

Q: The approximated value of the integral fe* dx is equal to - Rule with step size (h=2). when using…

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Q: +√³1 (2) dx = -3 and ³ S If it is known that [²₁ √f (a) da = 4, find the value of f(x) dx.

A: To find out the integral value.

Q: Find (f+g)(x) and identify the graph of f+g. f(x)=x² and g(x) = 5 Part: 0/2 Part 1 of 2 (f+g)(x) =…

A: As per our company guidelines we can answer only one question at a time so if you need more answers…

Q: Draw the function y = √x-8

A: The 5 points are the following.

Q: Maximizing the Volume of a Box An open-top box is to be made from a 30 in. by 40 in. piece of…

A: Let's solve given maximizing volume of a box problem.