Q3// 1. Sketch the region D and Evaluate: [ f(x+y) dA Where D, is the triangle region region in the (x-y plane) with vertices: (0,0), (1,0) and

Q: Which of the following represents the region of the complex plane defined by |z+1-2i| > 3? (A) (C)…

A: A detailed solution is given below.

Q: Determine the volume of the solid under z = 4xy + x² over the rectangle R= [1, 2] × [0, 3]. [Show…

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Q: What is the area under the graph of y = 2 54-3-2-1 O O N/W 13 2 15 2 ਜਾਨ , -2+ -3 4 1 2 3 4 5 X on…

A: The region is bounded by the graph y=2-x on the interval -2,1

Q: 0 x²+1 dx

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Q: Use the method of Lagrange multipliers to find the dimensions of the rectangle of greatest area that…

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Q: Q ssosiee ※ dy nolaeV DOY MEMedua s x24

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Q: 0. The equation 7(x) = 40cos(x-10)] + 160 describes how an element in a fur cyclically, where x is…

A: topic:- function

Q: Find the area of the region bounded by y=x²-6r+5 and the z-axis. (a) A- 125 3 square units (b) A (c)…

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Q: Find the volume, in cubic units, generated by revolving about the x-axis the area bounded by the…

A: Solution is given below:

Q: 11. Find the angle between the planes: 4y + 3z = -12 and 3x +2y + 6z = 6.

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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: A region bounded by f(x) = x², y = 0, and x = 4 is shown below. 2 Find the volume of the solid…

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Q: z²+1 5. S ₂²³(x+5) I

A: Let's solve given integral.

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: The following information is given. f(3) = 5, f(3) = -2, g(3)=2, g(3) = 7 f(5)=3, f'(5)=-1,…

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Q: Use a system of linear equations with two variables and two equations to solve. A number is 8 more…

A: The solution is given below

Q: 14. Integral 2 dt 31-4

A: Given, ∫23t-4dt

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

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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: Use the method of undetermined coefficients to find a particular solution x" + 8x' + 9x = t³ Xp²

A: Solution of given question is written in below steps.

Q: For the function f(x) = 2x2 - 5x a) Find f'(x) from FIRST PRINCIPLES b) Use your result from a) to…

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Q: particle is moving with acceleration a(t) = 18t + 8. its position at time t = 0 is s(0) = 6 and its…

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Q: Let f(x, y, z) = x arctan z. Then solution.] af Əzəy (2,3,1)= a In 2 where a = [Show

A: Find the value of a

Q: Simpson's 3/8 Rule for integration is mainly based upon the idea of O Approximating f(x) by a 3rd…

A: To Find : Idea on which Simpson's 3/8 th rule is based on

Q: The base of a three-dimensional figure is bound by the line X = √y on the interval [1, 4]. Vertical…

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Q: 2. Integral A e3A dA

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Q: 15. integral sin 4x cos 4xdx

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Q: find the explicit solution of y' +xy = x√ y

A: This is a basic differential equation problem

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: 4. For the series Σ=1+()", does it converge and if so what does it converge to? * n²

A: We have to check that series 1/2*(2/5)n  where n=1 to infinity. Is convergent or divergent.

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: Q1\A: Find the value of K in the following linear system which is make the solution failure Kx+3y=6…

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Q: Use sigma notation to write the Taylor series about x = 3 for the function. ON X 1

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Q: -a cos y + ze-1/(1+y²), then If f(x, y, z) = el- of ?x ; |(1,0,п) = fæ (1, 0, 7).] (Show solution.)…

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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: 6. fx√4x+1dx

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Q: : Find area of triangle whose vectors P1(4,2,0), P2(-1,1,1), P3(0,4,3)

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Q: 9. Integral (2x-5) ai x² = 5x + 3 -

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

A: We have that the center is 4+i. So, we have the LHS as |z-4-i|. We see that (7, 0) is on the curve.…

Q: r = 7e0.70 ¬ the interval 0 ≤ 0 ≤ 1 and the straight line egment between its ends. -ea =

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Q: A region bounded by f(x) = 3 − x, y = 0, and x = 0 is shown below. Find the volume of the solid…

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Q: s sin xv9+ cos2 xda xdæ

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Q: 3. Find the area between the curve y = 2sinx cos x and the x-axis within the interval [0,2π].

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Q: DIFFERENTIAL

A: Please refer to the image below

Q: Find the general solution of the following DE. y' = 3 (y + 1) O y = 3ce³x - 1 Oy = ce³x - 1 Oy =…

A: y' = 3(y+1) dy/dx = 3(y+1) dy/3(y+1) = dx dy/(y+1) = 3dx now apply both side integration

Q: D Operator: Solve the DE y" - 7y" +14y - 8y = 0 y = c₁e¹ + c₂e²x + c3e4x Oy=c₁e²x + c₂e4x + c3e6x y…

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Q: III. Partial Fraction Decomposition: Evaluate the following integrals using partial fra sition. 1.…

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Q: 4. xy = COS (²) + +1

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Q: 10. Find r(t) if = (4t3+ 4t)i + 6tj + 3t²k, r(0) =i+j.

A: We have to find out r

Q: 73. an = (2n + 2)! (2n-1)!

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