x fare cos = dx 2

Q: ind the volume of the solid whose base is a triangle with vertices (0, 0), (0, 5), and (5, 0).…

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Q: 7 Given the geometric sequence: 35,7 3' 45 Find an explicit formula for an, where the first term is…

A:

Q: = Find the volume of the parallelepiped determined by the vectors a c = (2, 3, 1). Volume =…

A: The volume is given by scalar triple product of vectors.

Q: Find the general solution of the given differential equation. 3 +24y = 8 dy dx y(x) = Give the…

A:

Q: 2π 1. The region R is bounded by the x-axis, x = 0, x = 3 A. Find the area of R. sin(). 2 and y =…

A: Given: Region R is bounded by x-axis, x=0,x=2π3 andy=3sinx2

Q: Three different forces act on an object. They are: F₁ = F₂ F3 Find the net force Fact on the…

A: Please refer to the image below

Q: If the volume of the parallelepiped determined by the vectors A = i + ak, B = 8i - 5j + ak and C =…

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Q: Question [ a) b) + Evaluate Show all your work. 3 L₁x - Dv If then find f(x). c) (x - 1)√√x + 1dx Is…

A: Since you have posted multiple questions. As per guidelines we"ll solve only first first question.…

Q: The equation of plane through (3,-1,7) and perpendicular to the vector n(4,2,-5) is 4x + 2y5z-25 =…

A: we know that if a plane is  perpendicular to a vector then the  normal of the plane is parallel to…

Q: 3 Suppose that the price p (in dollars) and the weekly sales x (in thousands of units) of a certain…

A:

Q: Of all rectangles with a perimeter of 28​,which one has the maximum​ area? (Give the​ dimensions.)

A: We can find the dimensions as below.

Q: By using a cosine function find a formula representation of the graph in the given figure. Use ()…

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Q: Test the series below for convergence using the Root Test. Σ(13) 3n+ 5 The limit of the root test…

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Q: f(x, y) 4xy; R is the region bounded by the graphs of y = V1 - = x² and y = 0 for 0 ≤ x ≤ 1

A: Solution is given below:

Q: The triple integral ³(12xze²y²) dxdydz is equal to 3(e − 1) False O K True

A:

Q: d the exact length of the curve. =√y (y - 3), (y - 3), 4 ≤ y ≤ 16

A:

Q: 4. Let the universal set U, and the subsets of U are A = {x|x is a letter of your first name}, B =…

A: Disclamier: Since you have posted a question with multiple sub-parts, we will solve first three sub…

Q: Find the Taylor series of the cubic function x³ about x = = 2. . 12 (x-2) + 1+ X - 2 - 8 12(x - 2)²…

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Q: Q21 Choose true or false from the following sentences:- Matrix has only one row call Row Matrix.…

A: we need to tell whether given statements are true or not

Q: Refer to the figure below. (a) Find the angle opposite the longest side. (b) Find the area of the…

A:

Q: If f(x, y) = 3x³ + y² - 9x + 4y, then the saddle point is (1, 2) O None of them O (1,-2) O (-1,-2) O…

A:

Q: (g) y dx = (y - xy²) dy Oseparable exact linear in x linear in y Ⓒhomogeneous Bernoulli in x…

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Q: A 100 ft wire is attached at it's end to the tops of two 50 ft poles that are positioned 90ft…

A: Concept: Catenary curve: A flexible hanging chain or cable is shaped like a curve in mathematics…

Q: The distance from the point P(2, 1, 0) to the plane 2x + y + 2z + 6 = 0 is 3.7 False True O O

A: We can answer the question in the following steps using the required formula.

Q: Hos solv the step? 0.10.9062cos (1-√3x) dx 11 1 2

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Q: Ishaan and Rishaan bought some chocolates. One of them bought 9 less chocolates than the other. If…

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Q: Q2) Evaluate the following integral (use Integration by Parts) Su². cos³ u+5 1-sin² u du

A: Concept: Integration by parts: To combine the end result of two or more functions, integration by…

Q: L sin2t cos3t

A:

Q: If A is square matrix of order 3 such that|3 A| = 54. Find |A|

A: Using the properties of determinants

Q: Determine if the differential equation y'=x4y - 9x5y is separable, and if so, separate it. dy Yes,…

A: Take y common from RHS

Q: 6. If : G H and 8: H K are both homomorphism, so is 0. • : G → K.

A: We can solve as follows

Q: Solve the given differential equation by separation of variables. exy dy =e-¯V + e-8x - y dx

A: In this question, we want to solve the given differetial equation using separation of Variables.

Q: If w = f(r, s, t), r = x-y, s=y-z, t=z-x then dw ax Əw Əw 0 O -1 -2 1 2 O

A: Use composite function to solve this problem.

Q: - If f(x, y) = cos(2x) − x² e5y + 3y², then fxy = -10x e5y True O False O

A: A detailed solution is given below.

Q: True or False: The definite integral 2 Lux+ is equal to Select one: O True O False (x + 3e*)dx 2 2…

A:

Q: The triple integral ³(12xze²y²) dxdydz is equal to 3(e − 1) False O K True

A: Solution given below

Q: The solution of Yh = e²x (c₁ cos x + C₂ sin x) homogeneous part (yh) of the equation y" - 2y' + 5y =…

A: Let's solve.

Q: 3. Find a result by using homogenous for (x³ - 3x²y)dx- (x³ - y³)dy = 0 For Figure 1.

A: We have to find out solutions of differential equations

Q: 58. Medicine. A medication is injected into the bloodstream where it is quickly metabolized. The…

A:

Q: Find positive numbers x and y satisfying the equation xy=9 such that the sum 3x+y is as small as…

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Q: A cell phone plan charges $48.25 per month plus $14.06 in taxes, plus $0.20 per minute for calls…

A:

Q: 1. Which of the following is incorrect? a. b. [(f(x) · g(x)) dx = [ f(x) dx . [ g(x) dx [(f(x) +…

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Q: 1. C (5,0) =( 5) = 2. C (4,4)=() = 3. C (6,2)=() = Evaluate the following

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Q: + 3x + 2)dx 2.√ √x(x² – 3x

A: The integral is  ∫xx2-3x+2dx

Q: 5. Solve by using power series: y' = xy. Find the recurrence relation and compute the first 33…

A: To solve using power series.

Q: B-Find the area of the region inside the carver-1+cose and outside the curve -1 and graph the two…

A:

Q: Q4\Use Cramer's Rule to find the values of x, y, and z from the following equations:

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Q: Using Homogenous Equations solve in terms of y: xdy - ydx - √x² + y²dx = 0 –

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Q: Given the equation of the curve y = 0.1(1600-x²). Find the area bounded by the curve and the x-axis.…

A: Note: Since you have posted multiple questions we will solve the first question for you. If you want…

Q: (1) (x²+2x) dx = (3 - In x²) dy separable exact linear in x linear in y homogeneous Bernoulli in x…

A: As per our norms we have to write one question at a time kindly repost remaining questions.