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Q: Find the mass of the portion of a sphere in the first octant with radius 1 and density function…

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Q: Make the indicated trigonometric substitution in the given algebraic expression and simplify (see…

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Q: Suppose x-j, for j-0, 1, 2, 3 and it is known that Find Po123(1.5). P₁1(x)=x+1, P₁2(x)=3x-1, and…

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Q: Find the general solution of the given differential equation. x²y + x(x + 2)y = ex y(x) = Give the…

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Q: Find the area enclosed by the curve x² + 8y + 16 =0, the x axis, they axis and the line x-4 = 0. A.…

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Q: y = N|XW --- - 6x 1 <x<1

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Q: Part 3 of 5 f(-2) = Part 4 of 5 f(0) = 0 Part 5 of 5 f(4) = 0 X X X S S S

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Q: b) [F(x) then find f(x). If 3 In(x)/ sin(3x) − 3e³ + x² + 3. - f(x)dx= 3 ln([x]) + 3x + C

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Q: 2 -ƒ_(x−1) -dx √x

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Q: Test the series below for convergence using the Ratio Test. n+ 3 3n+3 n=1 The limit of the ratio…

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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: Sinize da Cos2x-5 Cosse +4

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Q: find the divergence of F. I Y F(x, y) = -√2²17³1 + √z²+z³³ +y O div F = 2(x+y+z) O div F= 1 1²+y²

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Q: Use the Midpoint Rule with = 4 to approximate 0 tan x dx.

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Q: Given f''(x) = - 25 sin(5x) and f'(0) = 2 and f(0) = -6. Find f() =

A: In this question, we want to compute the value of f at the given point.

Q: In Bernoulli equation y' - xy = xy³, the value of 1(x) is ex² False True O

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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: Q4 Mode df Jx X= -0.90623 sin(1-13x)=0 =0.5772 How? ㅗ V3

A: here  -0.90623sin(1 -3x ) =0 sin(1 -3x) = 0 then  1 - 3x = 0

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

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Q: CONVERSATION/OBSERVATION Understanding Types Of Graphs 1. Imagine you were given three different…

A: According to the company rule, we can answer only first question and rest can be reposted.

Q: Q22. determine the family of curves that is orthogonal to the family Zy²+3x²=X when z > O and yea.…

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Q: 0 Sec Tanzdx subjektive (All see Tanxdx S see

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Q: 00 To test the series Σ as is the case with all series of this type.) According to the P-test: the…

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Q: Consider the function f : [-1, √10] → R defined by { 10 8 6 T 2 0 -1 f(x) = r², r>2; x≤ 2. I Answer…

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

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: Solve the given differential equation by finding, as in Example 4 of Section 2.4, an appropriate…

A: Given: 8-12y+e-3xdx-4dy=0

Q: Solve the initial value problem y" + 6y' + 9y = 0, y(−1) = 5, y'(-1) = 2. y(t): =

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Q: Im seeking help for the bullet point that begins with 'Compare the two estimates dy...'. Thank yo

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Q: Perform a first derivative test on the function f(x) = 2x³ + 3x² - 36x +4; [-3,5]. a. Locate the…

A: To find out the critical points, maximum and minimum and absolute maximum and minimum.

Q: X г ht хе зихн X

A: The given integral is ∫3x2+4x3+4x+1dx

Q: es of a force funct joules 0 6 9 12 15 18 f(x) 9.6 9.1 8.5 8.3 7.8 7.5 7.2

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Q: Question 2 Given the equation -4x² + 40x - 4y² - 32y - 4z² +24z = -200 ] Show that the given…

A: We find center and radius of the following sphere.…

Q: Let a be a real number. Evaluate the following integral: So f +ydady

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Q: Choose x such that the following two vectors are parallel u= and v= O -7 O None of the others 07 O…

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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: In the year​ 2000, the population of a small city was 49,000. The population grows at a rate of…

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Q: Use the Limit Comparison Test to determine if the series converges. k³ +7 k(k+ 3) (k − 2) (k+1) k=1…

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Q: Evaluate the following integral: SS², 2*x+yz dadydz

A: Solution given below

Q: For the function f(x) = cot³ (x): • Rewrite f (x) as a composite function f(x) = g(h(x)). • How did…

A: We have to solve given Questions.

Q: 3. Let Compute each of the following IV. B-¹αoß a = B = 12 2 3 2 3 1 + 4 4 5 6) 6 3 54 2 3 1 2 4 4 5…

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Q: Which of the following is FALSE? A. integrate f(x) dx from b to a = - integrate f(x) dx from a to b…

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Q: Consider the function f(x) = 8x³ - 6x² + 3x - 8. An antiderivative of f(x) is F(x) = Axª + Bx³ +…

A: We know that integration power rule is - Integration of xn is xn+1/n+1 +C. Here C is integration…

Q: ABSENT STUDENT The formula A = 1000 x 2 models the population, A, of aphids in a field of potato…

A: Concept: The population is represented by A=1000×2t Here for the present population the value of t=0…

Q: Match the given differential equation with one or more of the solutions. (Select all that apply.)…

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Q: Answer of each of the question about the graph

A: To find out the following limits.

Q: Given cost and price​ (demand) functions C(q)=110q+45,000 and p(q)=−2.1q+860​, what is the maximum…

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Q: Find the indefinite integral using the substitution x = √x√4 + x² dx + C 2 tan(0)

A: SOLUTION-

Q: The z-transform of [n] = u[-n] is

A: Using Z transform

Q: What does the index value of 78.8 in 1990 mean? Explain your reasoning. Year 1960 1970 1980 1990…

A: Ratio of the gas price index in 1990 to the gas price index in 2000 is 0.788.

Q: 9/ Approximate the follwoing integrals using The Simpson's ruls @ 0-25 b (Cosx) dx -0-25 Š 0-5…

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