7) Convert the coordinate (213,2) to point in' polar Coordinates. polar coordinetes.

Q: 12. Solve the second-Order differential equation:- y = e* (use method of variation of parameters)

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Q: dy dy if x cos 'y= x+y. Hence find the value of dx if x = 0. dx 4. Find

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Q: Use the Root Test to determine whether the series convergent or divergent. 00 n2 + 6 Σ 2. 5n + 2 n =…

A: Given: Here, an=n2+65n2+2n.

Q: Consider the following series. 8 + e-n n = 1 What does the Test for Divergence reveal about this…

A: We know the necessary condition for the convergence of a series. A series ∑nan   is convergent…

Q: Find T(t) and N(t) at the given point. r(t) = (t – 6)i + tj; t = 6 T(6) = N(6) = %3D

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Q: (425 + 62?)dx Find -2

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Q: e. An apple orchard now has 80 trees per hectare and the average yield is 400 apples per tree. For…

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Q: A stone is thrown straight up from the edge of a roof, 950 feet above the ground, at a speed of 12…

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Q: Y1 = x? Y2 = x3

A: Given

Q: Find the value(s) of c guaranteed by the Mean Value Theorem for Integrals for the function over the…

A: Given, f(x)=x8, 0,8 Recall:  f(c)=1b-a∫abf(x)dx We have, a=0, b=8

Q: dy 3. Find if y = sinh(sec2x) . Simplify your answer. dx

A: Given :y=sinh-1sec2x

Q: 12. Determine the work done by the force, F, in the direction of the displacement, 3. F| = 350N 10…

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Q: Find the limit. Show all work. 2x2 – x-3 2. lim X→-1 X+1

A: Use limit concept

Q: Kelley and Stuart each have a sweet tooth and bought candy at the same store. Kelley spent $2.65 for…

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Q: 10 Evaluate the summation i. i=1 55 10 1

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Q: Find y if y= 3(x³ – 7x+2)5 +4x -2.

A: Topic = Derivative

Q: 7. Find the constant a, such that the function is continuous on the entire real line. [x+3, f(x) = x…

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Q: Find the area under the curve y=sin2x from x=0 to x=3pi/4 A. 2 B. 1/2 C. pi D. 3/2…

A: The curve y=sin2x from x=0 to x=3π4

Q: A small home business creates muffins, bones, and cookies for dogs. In addition to other…

A: Here, from the given data, let x be the number if muffins, y be the number if bones and z be the…

Q: Q.3. Use the method of Laplace Transform to solve the initial value probl y"+y +y 3 sin(2t), y(0) =…

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Q: 25. Find the intersection of the line [x, y, 2] = [1,4, – 2] + 1(1, – 1,3] and the plane 2r – 4y +…

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Q: Use the integral test to determine whether the series converges. Σ 4n - 1 n=1 converges diverges

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Q: Glven fx) dx = 9 and fx) dx = -4, evaluate the following. Exercise (a) Step 1 To evaluate the…

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Q: Use an appropriate test to determine whether the following series converges. 7 Σ 3 k =1 VK

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Q: What is the value of c? If we try to apply Rolle's Thorem to the function f(x) = 2x? – 20x – 2 on…

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Q: b). Determine if y =x tan (x) satisfy dy_y x sec²(x) = 0 when y|x=0 = ( | dx

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Q: Determine the resulting vector when a = (6, –4) is rotated 60° clockwise and increased in size by a…

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Q: Evaluate the definite integral (12a² – 6x + 6)dx 3.

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Q: Find the area of the region. See Examples 1, 2, 3, and 4. f(x) = (x – 5)3 g(x) = x - 5 y 1.5| 1.0…

A: This question can be solved using the concept of area under curves.

Q: 21. Determine the value of k so that i = [- 5,k, 3] and i = [1,2, – 7] are orthogonal.

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Q: Step 1 To evaluate the sum Si, the following property of summation can be used to find the sum. Σ Σ…

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Q: Find the arc length of the graph of the function over the indicated interval. (Round your answer to…

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Q: 14. Given the vector form of a line in three-space to be [x, y, z] = [2,6, – 3] + t[4,10,6], find a.…

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Q: Two transverse waves y1 = 2 sin(2nt - x) and y2 = 2 sin(2rt - Ix + T/2) are moving in the same…

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Q: sin(n +h) – sin . lim- а. 1 b. 0 C. -1 d. * е. -00 h-0 h

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Q: Let A(x) = | f(t)dt where f is the function given by the graph below. 4- 2 3 -2 -3 -4 A(2) = %3D…

A: Explanation of the answer is as follows

Q: Solve the following differential equation y"+2y' +y=x-1 Select one: O a. YG.S= Ce¯+c,e¯2x+x-3 O b.…

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Q: 5y² = 2x³ – 5y

A: Derivative with respect to x

Q: Find the volume of the solid obtained by rotating the region bounded by the curves y = x°, y = 1

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Q: Given the Demand Function D(p)= 275-4p^2 Find the Elasticity of Demand at a price of $5

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Q: Find the center of mass for the following masses along the x-axis (distances are in cm): 42g at…

A: Center of mass = sumation of mi xi / summation of mi

Q: For the function g(x) graphed here, find the following limits or explain why they do not exist. a.…

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Q: 5. Evaluate the expression without using a calculator. Show all steps. (a) sin (4) (b) cot(-210°)…

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Q: 5. Given y- ir,1 Find when 1if f(2) =4 and f(2) - 5.

A: Differentiate y with respect to x using chain rule.

Q: 10. Find the unique solution of the second-order ivp: y" + 16y = 0, y(0) = 2,y'(0) = -2

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Q: Find the volume of the solid that results when the region enclosed by the given curves y = e-2x, y =…

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Q: - 47 f(x)dx = 12 - 51 | and - 47 |. 9(2)da = 20 – 51 and - 47 - I h(x)dx = 32 - 51 what does the…

A: We can solve the integral as below.

Q: Find the limit. Show all work. Vx+5 -3 1. lim X- 4

A: We have to find the limit of given function

Q: Michael has a math test tomorrow. His score is related to the amount of studying he does in…

A: topic - independent and dependent variables

Q: Two cars are initially 1200 miles apart. At the same time Car A starts driving at 35 mph to the east…

A: Given ,  Two cars are initially 1200 miles apart  At the same time Car A starts driving at 35 mph to…