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Q: Q1/ Find maximum,minimum,and saddle point of the surface Z = x³y³ 12x + 3y + 12.

A: Given :- z=x3 -y3 -12x+3y+12 Find:- Maximum, minimum and saddle point of the given surface

Q: * The following function f(x) = x^4 sinx is odd O neither even O O

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Q: 1. Evaluate the improper integral 150 xe dx or state that it diverges.

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Q: A parallelogram of rectangular surfaces has a square base and its volume is always 108 cubic…

A: Given information

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Q: Question 8 Match equation graph with its parametric equation. Not all equations will be used. All…

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Q: dy Find for y = dx dy dx 1 13

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Q: 4) Show that and 4x 2 - 4x f(x) = 4x-2 4-4x are eventually fixed points for the function : 0<x<…

A: Given

Q: Q4\ Solve by Gaussian elimination x-4y-2z = 21 2x+y+2z = 3 3x+2y-z = -2

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Q: Directions: Determine whether rational equation, rational inequa solutions in your activity noteboo…

A: As per the company guidelines We can first three parts   only. Please understand. Kindly repost the…

Q: 2): The side of a cube decreases at a rate of 6 m/sec. Find the rate at which the surface area of…

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Q: Consider the function f given below. 2 X-9 f(x)= = x-3 a) For what x-values(s) is this function not…

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Q: 2π sin(30) de 5+cos² (0)

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Q: 5- Find the volume of the box (parallelepiped) determined by the vectors 0 = (0,0,0), B = (1,1,2)…

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Q: a) Find the simplified form of the difference quotient for the function f(x) = 2x² - 4x + 5. b)…

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Q: * Parallel lines have the slope (m1x m2 )= -1 true False O

A: Given question:- Parallel lines have the slope (m1xm2) = -1

Q: Complete each of the following problems showing ALL your work. Answer the following questions…

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Q: Which of the following describes the graph of g(x) = -In(x − 4)? *Ty 8 7 6 5 4 2 2 1 -10 6 7 8 -2 -3…

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Q: Sketch the graph of the floor function f(x) = [x+3] over the interval [-4, 2].

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Q: 12. What is the width in kilometers of a single time zone at a latitude of 40 degrees? (Note: At 1…

A: . What is the width in kilometers of a single time zone at a latitude of 40 degrees? (Note: At 1…

Q: * Parallel lines have the slope (m1x m2 )= -1 true O False O

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Q: Question 2 Let F(x, y, z) = -2y + 2x J. Use Stokes Theorem to find +√7. -d7, where C is a circle…

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Q: Show that the following equation [ has a solution on (0, 2). 42-1 = πX 2 5 cos(-

A: The given equation,       4x-1=5cosπx2

Q: Q2\ By using Adjoint method, find the inverse of the following matrix. [1 0 -31 A= 4 2 -1 LO 3 2

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Q: Use the given information to find the unknown value. y varies inversely with the cube of r. When -…

A: y varies inversely with the cube of x. When x=5 then y=1.

Q: Q3: Solve the following differential equation by using Variable Separable Method: (y²+1)e cosx y² dy…

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Q: Evaluate the integral. 1/2 Jo 7 cos-¹(x) dx

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Q: solve this problem using washer method and explain the process

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Q: Find the inverse function of f(x) = = Specify the domain for f−¹(x) ƒ-¹(x) = x² - 9 Domain of f¹(x)…

A: Given that,

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Q: Example 5: Use double integral to find the are

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Q: A. d²y dx² B. d²y dx² 4 + 7y=0 dy dx - 4y = 8e²x - 12

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Q: -1 16/(A)Evalute ex² dxdy. (B) If f(x, y) = x² ye(x+y²) Find the four seconed partial derivative.

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Q: 1. Find the derivative of f(x). 3x³ 2x²-x-5 - (a) f(x) = √x (b) f(x) =

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Q: Determine an expression for expression for 3(y-2)³ − x² = 4x − 6. dx

A: Solving the problem by finding the value of the problem by finding the value of the derivative.

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Q: 5) Find f'(x) given that f(x) = (2x³ + 2x² − 3)(3x³ − 2x² + 4)

A: In this question, we want to differentiate the given function f(x).

Q: 1. Evalaute lim ƒ(x), lim ƒ(x), lim f(x) for I-3+ 2-3- 1-3 f(x)= { = −x+4 x − 3 x 3

A: Topic = Limits As per guidelines , At a time only one question with three sub-parts can be answered…

Q: Q21 By using Adjoint method, find the inverse of the following matrix. [1 -3 -1 A= 4 2 LO 2 Add file…

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Q: A polynomial f(x) has the given zeros of 6. -1, and -3. Part A: Using the Factor Theorem, determine…

A: we have to find the polynomial whose zeros are 6 ,-1,-3.

Q: what is after the negative 4 is that Cos I can't tell what that is supposed to be

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Q: f(x) = 2x³ - 3x² − 12x + 6. (a) Find the extreme points of f; (b) Find the point (s) of inflection…

A: SOLUTION-

Q: Question 2.7d. Consider the linear system of differential equations Select the particular solution…

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