The points P(-2,1), Q(-6, 4), and R(4,3) are three vertices of the parallelogram PQRS. Find the coordinates of S.

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Q: Find exactly T(t) and N(t) for x = e'cost, y = e'sint, z = e' for t = 0. [Choose the correct…

A: This question can be solved using the concept of tangent and normal in vector form.

Q: Determine the general antiderivatives of the following functions: a. f(x) = 20x+ – 4x³ + 15x² – 14x…

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Q: The temperature at point (x, y) is given by T(x, y) = 100 – 3x² – y³. Find the direction from point…

A: Given

Q: The graph of f shown below has vertical asymptotes at X= - 2 and x = 4. Find the following limits.…

A: Solution is given below

Q: if X-? yk 2 2 3D5 リ+1 yX Find

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Q: The plot below represents the function f(x): 5- 4 2 -5 -4 -3 -2 -1 I 2 3 4 5 -1 -2 -3 -4 Evaluate f(…

A: Consider the function

Q: The figure to the right shows four regions bounded by the graph of y = x sin x: R1, R2, R3, and R4,…

A: To find the value of the  given integral .

Q: Find the dimensions of a rectangle with a maximum perimeter that can be inscribed in the ellipse 4x…

A: Given ellipse 4x2+9y2=36                ->Equation(1)Let (x,y) be the upper right corner of the…

Q: Use the Ratio Test to determine the convergence or divergence of the series. If the Ratio Test is…

A: an=n45nlimn→∞ an+1an=limn→∞ (n+1)4 5n5n+1 n4=limn→∞ (n+1)4 5nn4  5n 5

Q: Calculate the maximum value of 10x + 23y subject to the constraints below: x + 2y < 14 X-y2 1 y 2 1…

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Q: Зх +1 a) y =- 1 b) g(x)= Jx -

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Q: Use a triple integral to find the volume of the region bounded by 5x + 8y, z = 9, and the planes x =…

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Q: Solve using Gauss-Jordan elimination. 4x1 - 7x2 - 5x3 = 41 X1 - 3x2 = 14 Write the system of…

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Q: 21. Find af and of if f(x,4)= 3x" +2xy+ Sy , x= 4v? + Bn", and u 2v-w? Vour %3D 4= 2v-w? Vour av…

A: We have to check

Q: Find the work done by the force field F in moving an object from P(-9, 7) to Q(3, 3). 2.x. F (r, y)…

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Q: 3/xyy' = 5

A: We have to solve the differential equation  3xyy' = 5.

Q: Find sin 0, cot0, and csc0, where 0 is the angle shown in the figure. Give exact values, not decimal…

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Q: Write an equation for the ellipse that has vertices (+7, 0) and co-vertices (0, ±6). Provide your…

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Q: Refer to the graph below. Find the producer surplus for the supply function, S, when x=20. Hint:…

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Q: - 0.26t ng If C(t) = 53.3t e measures the concentration, in of a drug in a person's systemt hours…

A: Given query is to find the time when concentration will be maximum.

Q: Use the following series in determining the IOC and ROC. The summation of [(7^n)/(n+5)](x-4)^(n+2)…

A: Given  problem:- Use the following series in determining the IOC and ROC. The summation of…

Q: follmcing IVP yi = 42-5unt y= - 44,+17 cost Q.5. O Solve 30こ5,4,(0)22

A: A detailed solution is given below.

Q: Given (x) dx = F(x) dx = 7. 14 and %3D evaluate %3D (a) f(x) dx. (b) f(x) dx. (c) f(x) dx. 5. (d)…

A: Definite integration property

Q: cosxdx 3T +Sinx

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Q: 27 10

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Q: 4.Graph one cycle of function given below. State domain, range, period, phase shift, vertical shift…

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Q: Find out whether the series given below converges or diverges. 00 1 Σ 2/n + n n = 1 Choose the…

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Q: Matching Type. Match the functions in Column A with their corresponding antiderivatives in Column B.…

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Q: Which of the following is NOT a correct way to express the vector v = (2,-4) %3D a) 2î - 4 where î =…

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Q: let f be the function given by f(x)=kx/(x^2+1), where k is a constant.  For what values of k, if…

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Q: Find the arc length Lof the graph of r(t). r(1) = r° i+t j+Võr² k, 3 <155 V61² k, 3 <1< 5

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Q: Use the substitution u = x° + 8x to find the following indefinite integral. Check your answer by…

A: Use the substitution method to solve the integral.

Q: What are the dimensions of an open-top right circular cylindrical can that will hold a volume of 512…

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Q: Find for the parametric curve c(t) (t-1 – 5t, 41) at the point t = -2. dx (Use symbolic notation and…

A: Given problem:- Find dy/dt for the parametric curve c(t) = (t-1 - 5t, 4t3) at the point t = −2.

Q: Evaluate the definite integral. NOTE: Enter the exact answer. ti + tj dt

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Q: d Calculate ri(t) · r2(t)] and ri(t) × r2(t)] first by differentiating d dt the product directly and…

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Q: An iceberg travels due South at 15 km/h in a fast Labrador Current. A passenger ship, 50 km to the…

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Q: Current Attempt in Progress Find the domain of r(t) and the value of r(to). NOTE: Round your answer…

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Q: On any given day, a student is either healthy or ill. Of the students who are healthy today, 95%…

A: Stochastic matrix: In a finite Markov chain, a stochastic matrix is a square matrix of non-negative…

Q: 1. Find the derivative of the following. f(x)=13x* -7x²+5x²+11x+75 a.

A: Formulas:ddx(a f(x))=a ddxf(x)ddx(xn)=an xn-1ddx(a)=0;  where a is a…

Q: Consider the following equations. f(y) = y2 g(y) = y + 2 Sketch and shade the region bounded by the…

A: We have to find the area of the enclosed portion.

Q: EVALUATE. 2022 a) x n (xl dx dx 2x+3x+7 dx (x+1) (x² +S)

A: This question can be solved by applying the concepts of indefinite integrals.

Q: s(2) dr=3 and s (4)d. f (x)dx: =-2. what is (x)dx? Make sure to justify your answer -2 or the…

A: We can find the answer as below using property of integration.

Q: Evaluate the double integral. 7x?sin ydA; Ris the region that is bounded by y = x³, y = -x', and y =…

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Q: -Find Taylor or Maclaurin for the following functions: 3) 2) f (x) = e* at a = 2

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Q: 6) Find the volume of the solid generated by revolving the region bounded by the graphs of the…

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Q: 00 2+n Does the series converge absolutely, converge conditionally, or diverge? 6+n n=1 Choose the…

A: The given series is: ∑n=1∞(-1)n+12+n6+n Let, an=(-1)n+12+n6+n; n≥1

Q: 6 foND THE EXACT LENGTH Of THE zt -2t PARAMETRIL y(e)=1+4t CURVE X= e te

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Q: 26. da (x² cos y+ sin 2y) =(ry) x(- sin y y') + (cos y)(2z) + cos 2y - 2y = x-y' +y·1 = %3D %3D dx…

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