Identify whether the following improper integral converges or diverges. If it converges, find its value.

Q: Example: Fined all eigen values and eigen vectors of the matrix and check that P'AP is diagonal…

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Q: QI) Evaluate the integral dx dy using polar coordinate

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Q: Q: find area inside r=2cose and outsider 1?

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Q: rin 2 e2# sec-"(e")dr

A: Solution

Q: Q2/ Fit a second - order polynomial to the data in the following table: 5 1 4 2 7 Y 2 8 3 4 -1 8 4

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Q: Q3/ Solve the following equation by (Finite Difference Method), choose (h= 0.5) + 2y 3 ,y(0) = 0,…

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Q: Evaluate the following integral using Trigonometric Substitutions Method dx y = 9x2 + 16

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Q: Consider the following two ordered bases of R³: {{2, –1, –1), (–2, 2, 1), (5, –3, –2)}, {(0, 1, 1),…

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Q: Q2) Evaluate the following integral using Trigonometric Substitutions Method: dx 19x2 + 16 y

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Q: office.com received an $8000 invoice dated April 10. Terms were 2/10, 1/15, n/60. On April 14,…

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Q: Suppose an urn contains 10 marbles: 4 are white and 6 are black. We will draw marbles randomly,…

A: First four are whack which means they are white and one of the first 5 drawn marbles.

Q: A bag contains x red paper clips, (x + 4) blue paper clips, and (3x – 11) white paper clips. A clip…

A: We have to find the value of x.

Q: Q3) Evaluate triple integral S S dz dy dx.

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Q: The integral f(x)dx is transformed into f, 9(t)dt by applying the change of variable:

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Q: Let T be the linear transformation defined by T(а, у) — (5а + 8y, у, — 4aх — 2у, — 6ӕ — Зу). Find…

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Q: Pianni Beverages produce two ready-mixed cocktail drinks; the Zombie and the Skyjack. Each is a…

A: using the given conditions, let the cocktail ' the Zombie ' be x and the cocktail ' the Skyjack ' be…

Q: Evaluate the integral dx dy using polar coordinate

A: To find the integral using polar coordinates, first we identify the region bounded by the limits of…

Q: A card is drawn from a deck of 52 playing cards. a) Find the odds in favor of drawing a face card or…

A: A card is drawn from a deck of 52 cards :-  Now to find the following .

Q: Q3) Evaluate triple integral , S, S(x2 – y?)dz dx dy.

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Q: 3+ V9 – 4(3 – i) 21 3+ V4i – 3 - 2 How do you solve for the equation above ? 2.

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Q: 1 (i) Find the unit vector having the same direction as B – 2A+÷C. (ii) Draw the vector you obtained…

A: We have given three vectors A, B and C .

Q: Q5/ Use Linear Regression to fit the following data: 2 10 1 4 5 6 Y 4 10 9 3

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Q: (1+x)-3=1-3x+6x2-10x3........ Is this series convergent or divergent? Simply explain why

A: We have to check whether given series is convergent or divergent.

Q: Find area inside autside r= I てニノ

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Q: Q1) Evaluate the integral dx dy using polar coordinate

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Q: Q2) Convert the polar function r tan20 to cartesian.

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Q: Find a parametrization, using cos (t) and sin(t), of the following curve: The intersection of the…

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Q: (a) By reading values from the given graph of f, use four rectangles with heights corresponding to…

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Q: Consider the solid bounded by the planes: z =x+y, z=12, x=0, y=0. Determine the volume of the solid.…

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Q: A cylindrical steam broiler is to be constructed having a capacity of 1000 cu.m. The material for…

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Q: solve the equation by Newton -Raphson Method: F(x) = x* – 5x³ + 65 , start at x =2, accuracy =0.001

A: Newton-Raphson method :

Q: Q1) Evaluate the integral N 4-y2 dx dy using polar coordinate

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Q: 4-y² QI) Evaluate the integral * dx dy using polar coordinate

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Q: Evaluate the following double integral over the region R. ||(x' -y') dA; R= {(x,y): 0<xs 1, - 1sys1}…

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Q: Q4) Find plane area inside the polar function r = 2 and outside polar function r = 2 sin ( + 0) in…

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Q: 1. Let V be the region between the two spheres x2 + y? + 22 x2 + y? + 22 = 2 for z > 0. Let S be the…

A: The solution is below.

Q: -3 Are the vectors -3 -8 linearly independent? -4 and linearly dependent If they are linearly…

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Q: 1. Find the surface area of the cone z = Jx2 + y2 that lies between the plane y = x and the cylinder…

A: Surface area in xy-plane

Q: Q4) Find plane area inside the polar function r = 2 and outside polar function r 2 sin (+0) in…

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Q: Find plane area inside the polar functionr 2 and outside polar function r 2 sin +0) in second…

A: Area using polar coordinates is given by  A=∫∫A r dr dθwhere x=r cos θy=r sin θ

Q: QI) Evaluate the integral dy dx using polar coordinate

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Q: Q1) Evaluate the integral S dx dy using polar coordinate y 2-y

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Q: Q1/ Estimate f (1.72) from the given data using Newton's Backward Difference Formula: X 1.7 1.8 1.9…

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Q: Find the Maclaurin series for f(x) and use it to approximate the integral 1+ x3 correct to 4 decimal…

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Q: Q4/solve the equation by Newton -Raphson Method: F(x) = x* - 5x + 65 , start at x =2, accuracy…

A: Given f(x) = x4 - 5x3 + 65⇒ f'(x) = 4x3 - 15x2 x0 = 2

Q: 1 2 If D = 2 -1 0 3 , find and E 0 1 3 2 -1 13. DE 14. D4

A: Given matrices are D = 1201  and  E = 2-103032-1

Q: Assume that the population of the greater roadrunner in the Guadelope Desert was 250 per hectare at…

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Q: 2. Angela gets paid a salary of P4,530.00 as a preschool teacher every week. Determine her: (a)…

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Q: Q4) Find plane area inside polar function r 2 and outside polar function r= -2sine in third quarter.

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Q: Find volume of body bounded by z? + y? + x? 9.

A: Here we can use spherical coordinates to find the required volume. Volume of a solid in spherical…