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Q: ssume that the two points (x1.y1) and (X2.Y2) lie on the graph of the straight line y = mx +b. Use…

A: here, i am providing my handwritten solution

Q: -5t i + j+ sin(3t) k sin (t) lim e t 0

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Q: 2 2 Find the sum of the series E Vn +4 yn+5 n= 1 The sum of the series is (Type an exact answer,…

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Q: 3

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Q: The figure to the right shows the area of regions bounded by the graph of f and the x-axis. Evaluate…

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Q: Evaluate the surface integral. (x + y + z) ds, Sis the parallelogram with parametric equations x = u…

A: Solution: ∬(x + y + z) dS, S is the parallelogram with parametric equations x = u + v, y = u − v, z…

Q: 57. - (bA-c) a. - (-bA~c) 58.-bnc b.-(-b→-c) 59. - (bvc) c. bA-c d.-(-b c) 60. - bA-c 61. - (b c)…

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Q: Find the area of the shaded region. 24) f(x) =x3 +2x2- 3x, g(x) = 0 -4 -3 -2 -1-1 4 -5 47 A) 12 81…

A: Topic = Area

Q: Sketch the region that is bounded by y = 8 - x² and y = 2 – x. Then, find the coordinates of the…

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Q: 11. ſ sin? x cos² x dx

A: Given ∫sin2x cos2x dxTo find integration:

Q: of of and ду For the function f(x,y) = In (7x+y), find of af ду II II

A: Solve the following

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

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Q: 11. Solve the second-order differential equation y" – y' – 2y = 20 cos x using the method of…

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Q: y" + 3y' + 2y = x2

A: We have to solve given differential Equation.

Q: This equation is an example for linear equations dy = x²e* y = %3D dx False O True +

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Q: B: By using Homogenous method solve the first order differential equation (1+ e») dx - ely (G-1) dy…

A: Let's find.

Q: 3 xp- 4.

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

Q: Solve the equation .11 y" + 3y + 2y = x2

A: Solution is here

Q: 4 -3 -2 -1 1 2 3 Q 19 For the above rational function f( x ) = identify the interval on which f is…

A: The given function is:…

Q: Use the Ratio Test to determine whether the series is convergent or divergent. Š (-7)" n2 00 n = 1…

A: ∑n=1∞-7nn2 Here an=-7nn2 and  an+1=-7n+1(n+1)2 limn→∞an+1an=limn→∞-7n+1(n+1)2-7nn2…

Q: A region in the xy- plane has a z-output given by the equation z = In(x?) + 2xy - e*y. Determine the…

A: the volume between the x-y plane and below the z-axis is given by V=∫x=∫y=∫z=dzdydx According to the…

Q: 1 5. Determine by the limit comparison test if Zn=2 converges or diverges. Vn-1

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Q: Using the appropriate characteristic equation A = [3 0 8 1] all eigenvalues ​​of the matrix Find.

A: The characteristic equation: The characteristic equation, often known as the characteristic…

Q: This equation is an example for linear equations dy y = = x²e* dx True False O +

A: Any differential equation of nth order is linear if it is of 1st degree and donot have product of…

Q: What is order of the equation 2y" + 2y' +3 = 0 Second order O Third order O First order O Zero order…

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Q: dy 3y– + 4x = 0 dx

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Q: 6. For each function determine: i) the critical values ii) the intervals of increasing or decreasing…

A: 6 A)

Q: Question 8 Evaluate the given double integral by changing it to an iterated integral. JJ xy dA; S is…

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Q: Determine the equation of the tangent plane to the surface z = cos(x + 2y) at the point (2,-1,0).

A: Tangent plane to f(x, y) at (x0, y0) is given by below:

Q: Calculate the surface integral / G(r) dA, where G = (12xz + 36)1/2, the surface S is given by the…

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Q: 1 10. Determine by the root test if Ln=1 converges or diverges. (In(n+1))“

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Q: * This equation is an example for linear equations dy y = x²e* + dx False O True

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Q: B(4, 4) A (2, 0) /2 3 4 5 6 -2 寸

A: We have to solve given Questions.

Q: Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of…

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Q: Given the curve y = x´ and the lines y = 0 and y = 2 – x wwww Find the ordinate of the centroid Y חו…

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Q: G(x) = Si tan t dt Find G(1) = Find G'() =

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Q: If f(x) = 6 sin- (x), then f'(x) =

A: We have to find solution

Q: Express the limit as a definite integral on the given interval. lim Ax, [1, 4] (x;)2 + 3 dx Need…

A: Given query is to write the expression as integral.

Q: This equation is . .differential equation dy y2 dx ху Bernoulli O Separable O

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Q: e-X f(x, у) %3D x2 + y2

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Q: Use the Root Test to determine whether the series convergent or divergent. n2 + 7 \" 9n2 + 5 00 n =…

A: We have to find out the series convergence test

Q: Solve the equation y' = csc(x) - y cot(x).

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Q: y" + 3y + 2y = x2

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Q: dr 15. (4 – 2²)3/2

A: Topic = Integration

Q: 5. Determine the interval on which f(x) = x+2 is integrable. %3D (-00, 2) [-2, co0) (-00,-2) U (-2,…

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Q: bFhctc.instructure.com%2Fcalendar%23view_name%3Dmont... Find a cartesian equation for the curve 0 --

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Q: Food and clothing are shipped to victims of a natural disaster. Each carton of food will feed 13…

A: Let, x be the number of food cartoons and y be the number of clothing cartoons. Then maximize…

Q: Find fxy when f(x, y) = 8xeXy.

A: To find fxy when fx, y=8xexy.

Q: by the suitable solution Full the following blanks (Undetermined Coefficients method) If y" +y = 2x…

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Q: A gasoline tank is in the shape of a right circular cylinder (lying on its side) of length 14 ft and…

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