Determine the angle between the following two planes: 4x - 3y2z - 2 = 0 3x + 2y + 5z-5=0

Q: 12.Find a quadratic polynomial if sum and product of zeros are given (i) 9/20, 1/20 (ii) 2,√3

A: Topic = Quadratic equation

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A: This is a differentiation problem

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A: Given statement is - most observers object to the pay gap when top CEO pay is tied to performance

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Q: 9. using prime factorisation, find the HCF of (i) 2622, 1653 (ii) 1891, 1098 10.Check whether 12"…

A: We have to find out hcf

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A: Let's solve for taylor series.

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A: I have explained the solution.

Q: 7. * (se + ex)dx

A: The given integral is xe+ex, limit from 0 to 1.

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Q: 32. a) Determine the vector equation of the line of intersection of these 2 plane (1) x + 2y + 2z =…

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Q: In problems 1 and 2, list both the order of the DE and state whether the DE is linear of nonlinear.…

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Q: 66. Write the definite integral that computes the volume of the solid generated by revolving the…

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Q: 5. x+2 (x²+4x-3)5 dx

A: This question is based on indefinite integral.

Q: Consider the following function. g(x, y, z) = In(15 - x² - y² - z²) (a) Evaluate g(2, -1, 3). (b)…

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Q: For the function below, find (a) the critical numbers; (b) the open intervals where the function is…

A: Given function:fx=12x3-63x2-72x+6

Q: Find the derivative of f(x) = (-x³ - 2x² - 2x) sin (x). Do not include "f'(x) =" in your answer.…

A: Topic = Derivative

Q: 59. A. If ey dy = 3x² and y(1) = 2, then the particular solution y(x) is dx y = ln x³ +2 C. y = ln…

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Q: Evaluate and Show all necessary solutions. 1. S √x-³√x+3x-1dx

A: The given integral is;  (5+3sqrt(x))/sqrt(x).

Q: For the function below, find (a) the critical numbers; (b) the open intervals where the function is…

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Q: 2. Application of Double-angle Formula (a) sec 8= 12, QIV, find sin 20, cos 20 and tan 20 (b)…

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Q: Find the shortest distance, d, from the point (5, 0, -8) to the plane x + y + z = 8. d =

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Q: 2. Use a double integral in polar coordinates to find the area of the region. (a) The region…

A: We need to find the area of the given regions using double integral in polar coordinates.

Q: R is the region bounded above by the function f(x) = −3x/4 + 7 and below by the function g(x) = −x/2…

A: Solution of given question is written in below steps.

Q: The vectors a (4, -10,8) is perpendicular to the vector b (8,-8, -14). Select one: True False

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Q: (x), a, and L. Select the correct answer below: Of(x) = -x + 2; a = -1; L = 3 O f(x) = -x + 3; a =…

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Q: Integrate the function r3 So³ x² e ²x both analytically and numerically. For the numerical…

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Q: s 2 7x² + 15x + 22 (x-3)(x² + 4x+5) dx

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Q: For x = - 5, determine whether f is continuous from the right, from the left, or neither. (graph…

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Q: 8. Given the space curve r(t) = (sin²t, cos't, tant), find an equation of the tangent line in…

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Q: Use the method of variation of parameters to solve the initial value problem x' = Ax + f(t), x(a) =…

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Q: Assume x and y are functions of t. Evaluate dt y³ = 2x² +6: dx dt -=4, x= 1, y = 2 for the…

A: Please follow the next step.

Q: 2. Letf: R→R be defined by f(x) = 4x -x2. Let B be the range of f. (a) Find B. (b) Fins f-1([0, ∞…

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Q: Given the following initial value problem: dy/dt- yt²-1.1y where y(0) 1 The solution at t 0.75; Le…

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Q: PART I. Evaluate the following integrals. Show all the necessary solutions. 2x³ 1. f ²x² +5x²-4dx

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Write an equation for the polynomial graphed below. You can leave the function in factored form. 4+

A: write an equation for the polynomial graphed below. the function in the factored form is given…

Q: 22. a) Determine the equation of the line of intersection of planes 1 and 2. Express your answer in…

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Q: Siven : dy ax + 3xy ty² x² + xy 3xy ty X2 txy 2 у dy бус х xt = 0

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Q: Cursive

A: Please refer to the image below

Q: 39. A. A conical-shaped reservoir has a depth of 20 feet and a radius of 10 feet. Water is leaking…

A: This question is based on similar triangles postulate and derivatives.