Use partial fractions to find the power series of the function: n=0 4x + 41 (x − 2)(x + 5)

Q: Consider two matrices H-29-1-9 and = I = (a) Find a 2 × 2 matrix G satisfying HG = I if possible. If…

A: See this solution in below

Q: 13. 2ny(8- y³/2) dy A) 4² (14 — y³/²) + C 7 2my 7 (14-y3/2) + C C) B) T² (14+y³/2) + C 7 D) 4²…

A: 13. The given integration is: ∫2πy8-y32dy To evaluate the given integral.

Q: eliminate the arbitraty constats of the differential equation y = C1e^2x + C2xe^2x a. y” + 2y’ + y =…

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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: Find the derivative of F(y). Select the correct answer. F( y) = sinh y tanh y F' (y) = sinh y sech y…

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Q: Find the arc length of the graph of the function over the given interval. y = In x, [1, 8] Step 1…

A: topic- arc length of a curve

Q: B. A rock is vertically thrown upward from the surface of the moon at a velocity of 24 m/sec. 2 The…

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Q: Find local maximum local mainimum Critical points Increasing decreaing interval

A: The solution is given below

Q: Which of the following describes the graph of h(x) = −3(x − 1)²(x + 1)²(x + 2)? O-12 O -10 -0 -4 -12…

A: see below the answer and explanation

Q: Use the cross product to find the area of the parallelogram whose vertices are (0,0,0) , (0,2,1),…

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Q: You have a moment vector, M = [ 219.2 i + 270.5 j + 211.9 k] lb*ft and unit vector, u = 0.4286…

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Q: Q4A) Find area bounded by y = 0, y = 1-x²,x= 0 and x = 1. B)Is w=zx¹ analytical function or not? 2 2…

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Q: 5: Find the volume of the solid which is generated by rotating the region bounded by y=√x, y=x-2 and…

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Q: Find normal line and parallel plane to the function f(x, y, z)=√xyz-4 At point (1,2,8).

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Q: The volume of the solid obtained by rotating the region enclosed by y = x = 1, x = 7, y = 0

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Q: 3. What is the distance between two points (3,-1) and (-2, - 5).

A: Solution:formula: Distance between two points x1,y1 and (x2,y2)                Distance =…

Q: Evaluate the following integral: /= 2.6 The integral is divergent. 1 = 1.2 / = 1.4 = 0 S -00 1 8x -…

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Q: If the L[ eatsin3t ] = a/( s² + bs + 42), determine the value of b.

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Q: Matrix A 3 · 12 21₁B = 1₁ -2] · f find AB

A: Since we are given with multiple number of question and our guideline is solve first question only…

Q: Find the equation of the curve that passes through the point (3, 2) if its slope is given by y = dy…

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Q: 3. 2 洲 dx

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Q: its wrong please do it again

A: To find fx, if,f''x=2+cosx, f0=7, fπ2=2

Q: t) The volume of the solid obtained by rotating the region enclosed by y = 12x - 4x², y=0 bout the…

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Q: Express the integral in terms of the variable u, but do not evaluate it. So e15x-14 dx; u 15x - 14…

A: ∫01e15x-14dxLet u=15x-14.=∫-141eu115du=115·∫-141eudu=115eu-141=115e-1e14=e15-115e14

Q: B)Solve the differential equation; =(3+x-¹)+x²e³x.

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Q: Find the equation of the curve that passes through the point (3, 2) if its slope is given by y =…

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Q: 3. Translation: (x,y) → (x-6, y + 4) 5 -5 -5 Y C B X D 5

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Evalute ff Rx²dA, where R is the region in the first quadrant bounded by the hyperbola xy = 16 and…

A: The given integral: ∫∫Rx2dAWhere R is the region in the first quadrant bounded by the hyperbola…

Q: Evaluate the indefinite integral: + 1+x8 dx

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Q: A particle moves along a straight line from the origin (O) with an initial velocity Va=6ft/sec and…

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Q: An air traffic controller spots two airplanes at the same altitude converging to a point as they fly…

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Q: √ grams/cm² and occupies Find the mass and the center of mass of the lamina with density 8(x, y)=-…

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Q: find the limit, if it exists. If the limit does not exist, explain why. limx→2 1−|x|^2/1−x^2

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Q: Is the function has a extreme point? If yes, Locate the extreme point: 1 + 3x V4+5x2 y

A: Find derivative of function and equate to zero to find critical points

Q: At least one of the answers above is NOT correct. where a 9 and b = 7 1³h 10x² - [ 1(a) dx = f* f(x)…

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Q: 11. inverse Laplace transform of (a) F(s) = (b) F(s) = (c) F(s) = (d) F(s) = 3 8² +4 4 (8 - 1)³ 2s +…

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Q: Which of the following functions describes the graph of g(x)? -10- + O g(x)= O g(x)= (2) 2²-8 2²-8…

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Q: 4. What is the length of the latus rectum of the ellipse whose equation is + = 1. 16 25

A: Latus rectum of an ellipse is a straight line passing through the foci of the ellipse and…

Q: Calculate two iterations of Newton's Method to approximate a zero of the function using the given…

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Q: 13. Sketch a graph of a rational function that satisfies the following conditions f(0) = 0, f(-4) =…

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Q: Set-up and evaluate the triple integral for the mass of the box 1≤x≤2, 1≤ y ≤16, 0≤z≤ with √√y…

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Q: Step 2 Apply the rule of integration by parts. J u dv = uv - Submit J Let dv = ew dw and integrate…

A: topic- indefinite integral

Q: 2x B. Find the horizontal, vertical, and oblique asymptotes of the curve y = X+1

A: The given curve y=2xx+1

Q: You have been asked to design a rectangular box with a square base and an open top. The volume of…

A: See this solution in below

Q: H.W: Evaluate the integral (x²y - 2xy) dydx 1. 30 0-2

A: As per your query the solution of the question no 1 is given in the next step.

Q: Question 20 (5 points) Find the limit. 00 ∞ 5 0 -15 Question 21 (5 points) Find the limit. 0 1 00…

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Q: Sketch the function  f(x)=-x3-3x2

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Q: f(x) = a = 888 [4 to a 1+ f(t) - dt = 6x-2

A: To find f(x) and value of a.

Q: Note: Attempt All Questions Q1/ Answer the following: √4x5 2 16 45 A. Find the shortest distance…

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Q: 900mL of lactated ringers is infusing at a rate of 42gtt/min.  The drop factor is 60gtt/mL.  How…

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