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Q: Use a double integral to find the volume of the solid region under the paraboloid z = x² + y² and…

A: Use double integral concept

Q: e. at the course h the courf. e obtained fr eln (1-t) - dt 1-t A ed to you in any form is ed on [√x³…

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Q: The integral of sin x³ dx is cos x + Option 1 cos³ x 3 + C cos x + Option 2 cos² x 2 + C

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Q: Answer correctly, comprehensively, and neatly. Thank you. A vertical liquid storage tank shaped like…

A: A vertical liquid storage tank shaped like a cone has a radius of 8 m at the top and 22 m high.…

Q: Find the indefinite integral. √4x In (7x) dx √4x In (7x) dx =

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Q: E = 5 -2 -4 3 2 2 -4 -4 -4 0 -3 2 3 2 4 4 -2

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Q: Evaluate (2a² y +9y³)dA, D is the region bounded by y 33522 a. 5 Ob. 4811 5 C. None of the choices.…

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Q: Let a(t)=20e^-0.3t ( in milligrams) be the amount of drug in a patients body at time t where t is…

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Q: 5. Set up an iterated triple integral in the order dxdzdy that gives the volume of the solid in the…

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Q: Calculate the divergence of the vector field F=x²y³z¹i-xyzj+(x+y+z) k

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Q: Problem #1: Using lim 0 6x³ 8x 2 at x = -2, f(x+h)-f(x) h Find the slope of the tangent line y =

A: Let's find slope of the tangent line by using limit definition.

Q: Find the area of the region in the first quadrant bounded by the curve y = √x² +5, the x-axis and…

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Q: USING DISC METHOD Find the volume of the solid obtained by rotating about the y-axis the region…

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Q: Assume A = 21 2] and B = 1 3 [43] [4 3 11 7 6 show that (AB)' = B' A'

A: Given matrices A and B, To show that AB'=B'A'

Q: Evaluate the following: fo(5x²y³ + 3x) dydx a. b. ff ex+ydA where R = {(x,y)|-x≤ y ≤x, 0≤x≤ 2}

A: To find the value of given double integrals.

Q: Solve the DE using laplace transformation: y''(t)-y(t)=4cos(t); y(0)=0, y'(0)=1 the answer should…

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Q: Find the area contained between the two curves y = 3x - x² and y=x+x². 71/6 81/5 91/4 62/3 None of…

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Q: The position of an object at time t is given by the parametric equations x = 3t² + 1t y = 3t² + 3…

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Q: √√1-25x² dx

A: This question can be solved by the concept of some special integrals.

Q: Use finite difference approximation to find the values of y(0.25), y(0.5), and y (0.75) for the…

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Q: The function z(x, y) obeys, = -2e Which of the follow represents a valid first step for finding u(x,…

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Q: Solve using Variation of Parameters (D² + 1) y = tan x O y = c₁ cos x + c₂ sin x − cos x ln(secx +…

A: The objective is to find the general solution using variation of parameter.

Q: Find the volume of the solid obtained by rotating about the axis the regi and bounded by y=2x²) Y=o…

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Q: Question 8 f the Cartesian coordinates of a point P are (0, 1, 1), then the cylindrical coordinates…

A: Convert Cartesian coordinate to cylinderical coordinates

Q: Integrate. Simc 1 In (6x) dx

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Q: da d²y +6- dx dx² + 11 dx+6y = ex + cosx бу

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Q: For a particular financial methodology, the risk-reward function was defined as y=x(Inx-2), where y…

A: The risk-reward function,    y=xlnx-2y=units of reward, x=units of risk

Q: Find dy/dx, if y= (3+cos x) ^(2x+1)

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Q: ind the general Solution of the of the following differentia yu-5y" +4y=013 y=0

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Q: The integral of sin x³ dx is cos x + Option 1 cos³ x 3 + C cos x + Option 2 cos² x 2 + C

A: Given ∫(sinx)3dx=∫sin3xdx

Q: A rectangular bird sanctuary with one side along a straight river is to be constructed so that it…

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Q: Convert the rectangular coordinates (5,-5√3) to polar form. Letr> 0and 0 <0<2TT.

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Q: 4. If 6.5 m³ of oil weighs 46,800 N, calculate its density in kg/m³. (a) 285 (b) 258 (c) 82 (d) 734…

A: Given problem:- 4. If 6.5 m³ of oil weighs 46,800 N, calculate its density in kg/m³. (a) 285 (b) 258…

Q: Show that if u + vand ủ – v are orthogonal, then the vectors u and must have the same length

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Q: Evaluate f(x³ -x + 1) dx a. 0.250 b. 0.500 c. 0.625 d. 0.750 e. NONE OF THE ABOVE

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Q: The series O True O False (-1)^ n Σn=1 is conditionally convergent.

A: Given a series ∑n=1∞an .  If ∑n=1∞an converges, but the corresponding series ∑n=1∞an  does not…

Q: 1. dx (x - 2)3 EXOX

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Q: af axdy of f (x, y) = xy(x+y — 1) — x² Find-

A: The given function is: fx,y=xyx+y-1+x2   As we know that; The Power Law: ddxxn=nxn-1 The Product…

Q: limits

A: L'Hospital's rule apply only when there is 0/0 for ∞/∞ form.

Q: 3. A farmer applies x tons of fertilizer and y tons of pesticide to a crop, the yiled will be f(x,…

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Q: S eln (1-t) 1-t - dt ed to you in any form

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Q: S dx -1 x-x² 2³√√x 1423 22 Option 1 Option 3 1425 22 Option 2 Option 4 1521 20 1523 20

A: Given: I=∫-8-1x-x22x3dx   As we know the Power Rule: ∫xndx=xn+1n+1+C ; n≠-1

Q: Determine the scaler equation of the plane with × -intercept=2, y intercept=-1 and z intercept=3

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Q: hich point is on the line parametrized by the following? (-1, 2, 3) (3, 2, 0) (0, 0, 0) x = 3-t y =…

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Q: I. Solve the following Linear Systems of Equations by Gaussian Elimination: 1.) 6x + 2y4z = 15 -3x -…

A: To solve the system using the gaussian elimination method.

Q: Find the volume of the solid of revolution formed by rotating about the x-axis the region bounded by…

A: To find the volume of the solid of revolution formed by rotating about the x-axis the region bounded…

Q: Determine the x - y coordinates of the points where the parametric equation x = 5 sin²t y = 2 cost 0…

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Q: Find the ratio of the length of minor axis to the length of the major axis of the ellipse 9x2 + 16y2…

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Q: Please

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Q: Q1: A- Write the following algebraic expression in its simplest form: 5x+3x²+5x+6 X *+3 25x²-9

A: Please refer to the image below