Write the following system of two second-order ODES as a system of four first-order ODES. Please upload a screenshot/scan of your work to the assignment. Y, dz dt dy )2 + dt dr =- dt2 m

Q: In 11 Iny S ** dx dy. Evaluate the integral 1 0 The value is

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A: The answer is in below steps.

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A: Find your answer below

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Q: 2. Test continuity at x = 0 and x = 3 for the function (3 + 2x; - 3 3

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Q: fr cos xdx

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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A: Explanation of the answer is as follows

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A: Given query is to find the missing integral part.

Q: 3+ 2 10 2 -1 1 2 -1- Figure 1.2.1: Graph of y = g(x) for Preview Activity 1.2.1. %3D 3,

A: In order to get this question we need to use the knowledge of limits.

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A: To find the equation of the plane passing through the point (-7,10,-3) and containing the line…

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A: The derivative of f'(x) is equal to zero. i.e f''(x) = 0 when the graph of f'(x) has a tangent…

Q: у" — бу' — 7у%3D11 sin 4x -

A: We have to mention the general form of the particular solution

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Q: Consider the function y = x + 2x + 8. Using the values x = 5 and Ax = 0.5, calculate A y - dy. Round…

A: Given : y = x2 + 2x + 8 x = 5 and ∆x = 0.5 Calculate ∆y - dy ∆y = f(x + ∆x) - f(x) ∆y = f(5 + 0.5) -…

Q: Question 6 of 13, Step 1 of 1 Co Consider the function u = (-3t + 6)2. Find the differential for…

A: We can find the differential as below.

Q: 8. Evaluate the integral by using trigonometric substitution 2 dx V4x – x2

A: We have to find the indefinite integral.

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A: Here we are asked to use the definition of right end points and get the limit.

Q: Test the series below for convergence using the Ratio Test. 57 n! n=1 The limit of the ratio test…

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Q: Find the gradient vector field (F(r, y, z)) of f(x, y, z) 5zy ze F(1, Y, 2) =

A: Gradient vector field F→(x,y,z) of a function f(x,y,z) is given by,…

Q: Solve the given item below. Write your answer on a separate sheet of paper. A vertical liquid…

A: Volume of cone(V)=13πr2hr8=h22⇒r=4h11Substitute in the volume formulaV=13π×(4h11)2×h   V =16363πh3

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Q: Solve the inequality. (Round your answers to two decimal places. Enter your answer using interval…

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Q: 3. Find the period and amplitude of: y = 4 + +cos (x)

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A: In order to solve this question we need to get the velocity and acceleration function.

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A: Given query is to find the limit of the expression.

Q: Find the area of the shaded region. f(x) = 10x – 3x - x°, g(x) = 0

A: We have to find the area of the shaded region. f(x) = 10x-3x2-x3,  g(x) = 0   The graph is

Q: would need some help to find the Taylor series for f(x) centered at a = 9 for f(x) = 1/√x, please?

A: We have to find the Taylor series at centered a=9

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Q: To test this series for convergence 6 -6 7" n=1 You could use the Limit Comparison Test, comparing…

A: To test the series ∑n=1∞ 6n-67n by the use of comparison test. Concept used: Comparison test:…

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A: Given problem:- Find the coordinates of the point(s) on the curve y = √(x + 3) that are closest to…

Q: Determine if the following series converge or diverge. If it converges, find its value. n+ n? (a)…

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Q: Need to show workings

A: Apologies for the inconvenience.   ∫abfxdx is given by the shaded region below: This region is…

Q: cos

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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A: To find the volume ..

Q: 6. Find the area bounded by: d. The curves y=x-4, y38-2x.

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Q: 3. A 1 000-metre track is to be built with two straight lines and semicircles at the ends as below.…

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Q: Jxcos(nx)dx 78 2л 80 |sin nxsin mxdx

A: 78. Find ∫-ππxcos(nx)dx Solution: If fx is an odd function and continuous at: -a,  a then ∫-aafxdx=0…

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Q: f(x, y) = xy over the triangular region with vertices (0, 0), (8, 0), and (0, 6) O 12 2 96 O 16

A: Solve

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Q: Find the centroid of the region cut from the first quadrant by the circle x +y =

A: Given x2 + y2 = 81 y=81-x2 Area of Quadrant(A) = πr24                              A  = 81π4

Q: n²+n+1 En=1 n4+n² 00

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Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

A: Given query is to find inflection point and interval where concave up and down.