Find the determinant of the matrix. O-31 -4 67 7

Q: Evaluate the following definite integral using substitution rule. 1. (2x - 1)² dx 2. fx √x² + 1 dx

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Q: 1-x²dx 9-x²

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Q: 2 a do (x + 2)²0 Using Simpson's method proper rounding off, no spaces) -dx for n=4 is equal to…

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Q: e dy dx У-х+1 У-х +5

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Q: 1. Evaluate the given integral Q. Q - L. f.²² (y - 2x^²) dz dx dy Your answer

A: According to Bartleby guidelines, we are supposed to do only one question. If you want more to be…

Q: 5. fe²x sin x dx 2x

A: Given ∫e2x sinx dxTo evaluate the integral:

Q: (A) True B) False 3

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Q: 8.A kite at an altitude of 200 ft. moves horizontally at the rate of 20 ft/sec. At what rate is the…

A: We have to find the rate of change of angle.

Q: 11.f (4x+5) dx √1-2x

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Q: An incomplete intermediate simplex table for an LPP is given below: -1 Cj 3 -2 0 0 CB Basis XB X₁ X₂…

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Q: entus 1. √ √2x + 1 dx

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Q: Sx√x + 1dx

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Q: Question 13 x₁ - 3x3 = -2 Find the solution to the system of equation 3x₁+x₂-2x3=5₁ 2x₁+2x₂+x3=4 A)…

A: By Gauss Jordan elimination

Q: B. Find the general solution of the following 2nd order differential equation: y+2y+2y=0

A: Solution is done in step 2

Q: Q1: A. Find the general solution of the following Initial Value Problem (IVP): y+9y-10y = -40t²-72t…

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Q: Addition:Subtraction as___:antidifferentiation

A: We can answer the question as below.

Q: consider the power series "(x-2)"" √n+2 n=o 1. Use Limit Comparison Test to show that the series…

A: Solution is here

Q: (2x²³x+ sin(x2-x) + y ) dx + (x²y-x) dy = 0

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Q: Use the trapezoidal rule with n = 20 subintervals to evaluate I = -5 sin² (√0× t) dt

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Q: In pair, study and find the integral of the following functions. You will be awarded marks for each…

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Q: If g'(6) = 6 and h'(6) = 19, find f'(6) for f(x) = f'(6)= (Simplify your answer.) () = g(x) + =…

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Q: An incomplete intermediate simplex table for an LPP is given below: -1 Cj 3 -2 0 0 CB Basis XB X₁ X₂…

A: We want to know the basic variables in the given question.

Q: of S f(x) dx = -5 and S™ f (x) dx = 13, which of the following is NOT TRUE Given than Ⓒ*₁1 (2) de =…

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Q: Rewrite the Cartesian equation y = r(0) = = Enter theta for 0 if needed. 2x² as a polar equation.

A: In this question, we need to convert the given cartesian equation to polar equation.

Q: Find the point on the graph of the given function at which the slope of the tangent line is the…

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Q: Question R is the region bounded by the functions f(x) = -and g(x)=-. Find the area A of R. Enter an…

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Q: 3. Find the area of the region enclosed by the two curves y = x² and y = -2x² + 3x.

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Q: 10. At what rate is the vertex angle of a right circular cone changing when the radius is 3 ft and…

A: The given problem is solved below in detail.

Q: Given than [ f(x) dx = 7 and S. -2 (A) [₁ f (x) dx - [³ f (a) dx = -10 B) None of the given choices…

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Q: Find the line integrals of F = 4yi + xj + zk from (0,0,0) to (1,1,1) over each of the following…

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Q: B. Graph each equation. 3. 3x²2y² - 12x + 12y = 12 4. x² + 2y² + 2x - 8y = -5

A: Graph of : 3x2 - 2y2 - 12x + 12y = 12

Q: Sketch the graph of f(x)=x² /x²-1

A: Graph

Q: 2 Find all local extreme values of f(x) = -2.3 + 11x² 56x + 30. 3 The FIRST local extreme value,…

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Q: 3. 4. If =(-12, 4, 8) the position vector of u is.............

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Q: An auditorium has 20 rows of seats. The first row contains 100 seats. As you move to the rear of the…

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Q: The path of a satellite orbiting the earth causes it to pass directly over two tracking stations A…

A: Distance of satellite from station A and height of the satellite above the ground is

Q: Using Simpson's method ²x² dx for n = 4 is equal to Blank 1 (use 2 decimal places with proper…

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Q: Find the volume of the solid generated by revolving the area bounded by the given curves about the…

A: Given problem:- Find the volume of the solid generated by revolving the area bounded by the given…

Q: If = (-12,4,8) the position vector of u is.............

A: We know that if a=<x,y,z> then its position vector is a=xi+yj+zk.

Q: Derive the formula for trapezoidal Rule to evaluate f f(x) dx

A: The trapezoidal rule is to find the exact value of a definite integral using a numerical method.

Q: dx 20.5 x√4x²-49

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Q: The position of an object moving along a line is given by the function s(t)= - 8t +72t. Find the…

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Q: Exercise 0.3.23. (a) Prove that the function f(x) = vex over [0, ∞). 1 1+e™ is strictly con-

A: As per the company's guidelines, we are supposed to answer only first question. Kindly repost the…

Q: [₁ f(x) dx = 7 and f (x) da = -5, which of the following is NOT TRUE 3 3 [²ƒ (2) da − ³ ƒ (2) da =…

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Q: D. Diego walks at the rate of 5 ft per second toward a street light whose lamp is 20 ft above the…

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Q: [ f(x) dx = -4 and f (x) da = 10, which of the following is NOT TRUE If f(x) dx = 3 then [₁ f (x)…

A: We can check the false option as below.

Q: 11.J sin 3 x sin 6 xdx 3

A: To evaluate the given integral.∫sin 3x sin 6x dx

Q: where a represents the number (in thousands) of ten-packs demanded each week when the unit price is…

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Q: Can you write it in a paper? I don't understand

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Q: Suppose you are using a Leslie population growth model to study a species split into two age groups…

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