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Q: You are given a task to find a series expansion about x = 0 for a solution to (x – 1)y" – a²y' + y =…

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Q: Solve the exponential equation algebraically. Approximate the result to three decimal places. (Enter…

A: We have to calculate value of x.

Q: Find f andf, and evaluate each at the given point. y' f(x, y) (6, -6) = arctan f,(6, -6) = (6, -6) =

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Q: Find F as a function of x and evaluate It at x = 0, x = 7/6, and x = 1/2. F(x) = sin 0 de %3D F(x) =…

A: We have to find out the integral

Q: Find the area bounded by y = x + 4 and y = x2 - 2.

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Q: Find the general solution separable equathon. t) 2casx cosy dx-3 sinx sinydy = 0 o the given…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: 13 1 dx 13 – x

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Q: 2 3 To find the blue shaded area above, we would calculate: f(x)dx = area

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Q: 6x + k, x 4 such a k does not exist O 2 O 4 30 17

A: The given function,  f(x)=6x+k,x≤4kx2-6,x>4

Q: Find V · (V × F) if F(x, y, z) = 6 sin xi + 6 cos(6x – 7y)j+ 2zk. | V· (V × F) =

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Q: Evaluate the definite integral (10x + + 3)dr

A: topic- definite integral

Q: Find the value of each of the six trigonometric functions of the angle 0 in the figure. b a = 15 and…

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Q: Use the properties of summation and 5/ Step 1 To evaluate the sum Si, the following property of…

A: Please see the below picture for solution.

Q: Problem 3: Given a function 4 - x2 g(x) = 3 - Vx2 + 5 Page 1 of 3 Use analytical method to determine…

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Q: 8. (x'-20) (x-3)

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Q: Use the integral test to determine if the series shown below converges or diverges. Be sure to check…

A: Follow next step

Q: A. Identify the given differential equati. as to the dependent variable, degree of the equation,…

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Q: 2- Sinx-y cos?x =.

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Q: ニ。

A: Given query is to find the solution of the differential equation.

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

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Q: cos(26)= 0.647 Convergent Therefore, the sum of the series is the following. (If the quantity…

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Q: Remember that we are looking for the value of the initial velocity, v(0), if the maximum height is…

A: topic- equations

Q: Use the right triangle and the given information to solve the triangl b= 8, B=41°; find a, c, and A…

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Q: A. Use polar coordinates to describe the region shown. 1.

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Q: dy when x = 1 is dx If y = e-ª In x then A) 0 B) Does not exist D) = E) e

A: We have to find the dy/dx    at x  =1

Q: Use the ratio test to determine if the following series converges or diverges. 7" n=1 n!

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Q: Find two positive numbers that satisfy the glven requirements. The second number Is the redlprocal…

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Q: Find the area bounded by the given curves, axes and/or lines. 1. y2 + x – 4y = 5; y-axis

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: 6. What is the general solution of the following differential a²y.cdy d²y equation -52…

A: We need to find general solution.

Q: 1. 2x2 + 4x + y = 0,y = 2x %D %3D

A: Given :

Q: x +1 Evaluate the given limit of lim if it exists. 2→-1 x4 – 1 O limit does not exist 4 O -1

A: We have to find the limit

Q: Consider h(x, Y, z) = cos (xy) + eY% + ln (xz). Determine the directional derivative of h at the…

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Q: Given the equation 2x + 3y = 6, a second equation that forms a system with no solution is: O 2x – 3y…

A: Given; 2x+3y=6

Q: A pencil cup with a capacity of 36 in.3 is to be constructed in the shape of a rectangular box with…

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Q: Use the properties of logarithms to expand the expression as a sum, difference, and/or constant…

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Q: Find V x (V x F) If F(z,y.2) 10ryj+5zyzk. V x (V x F)

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Q: x2 + 2x – 1 1 True or False: lim x – 9 4 O True False

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Q: x³ +x 3+X 2. Evaluate dx X O x3 + 3x + C O 2x + C -+x+C

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Q: 92. tan? do 3

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Q: 2. y = e*cos (2x) is a solution to y'-bytoy=0 3X

A: 2.y=e3xcos2x is a solution to y''-6y'+13y=0

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: An object weighing 1000 pounds sinks in water starting from rest. Two forces act on it, a buoyant…

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Q: Find curl(6z i + 7x j+ 6y k). curl(6z i+ 7x j+ 6y k) = ( i )i + ( i )j +(i )k

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Q: 4 of 21 Which of the following is not an identity? I. tan z + cot z = sec z csc z II. cos? z = sin…

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Q: (d) sec(x) – sec(x) sin²(x) = cos (x)

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Q: Let T10 (x): be the Taylor polynomial of degree 10 of the function f(x) = In(1+ x) at a = 0. Suppose…

A: The possible value of x for which this approximation is within 0.001 of the right answer is 0 < x…

Q: sec(0) = cot(0) = (b) y (1, -1) sin(0) = cos(0) = tan(0) = csc(0) = sec(0) = cot(0) =

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Q: Find the Maclaurin series for the given function f(x) = e-6x

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Q: Obtain the inverse transform of the following 2s-3 1. s2-9 10 (3s2+12) + (s²–25) 3s-2 3.…

A: As you have asked multiple questions so I have answered only first question as per the…

Q: Evaluate the definite integral 2x2 + 2

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