Reminders, if needed: Use the letters inf to represent the infinity symbol. Use a capital U to represent the union symbol. 1. What is the domain of f? Use interval notation. 2. What is the range of f? Use interval notation. 3. Is g a one-to-one function (yes or no)? 4. What is f(-4) ? 5. What is (gof)(-4) ?

Q: Which of the following equations does not represent an ellipse? * x² + 2y² - 16 = 0 Option 1 x² +…

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Q: T et dt, find F(1) and F'(x). ez 1. If F(x) =

A: Given that                        F(x)=∫exeet2dt To answer the given question we shall use the…

Q: Using any of the methods discussed for both numerical differentiation and numerical integration…

A: f( x) = sinx - x3 + 1 By Midpoint method f'(a) = (f(a+h) - f(a-h)) /2h

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Q: 3. Which is NOT the correct statement of a degree of a vertex? B F A) d(E)=6 B) (B) = 4 OC) d (C)-3…

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Q: 7. Prove that if v >-1/2 ; p) = L{xvJ, (; = xı-at-a) H

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Q: If F(x)= et dt, find F(1) and F'(x). ez 12

A: F(x)=∫exeet2dt Fundamental theorem of Calculus: If f is continuous on [a, b] and F(x)=∫axf(t)dt then…

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Q: 1. The Maximum point of y = (x²+2x+10) (x-3)

A: For relative maximum or minimum To maximize or minimize  a function f(x) 1st we need to find its…

Q: 5. Given z arctan (;-), Find az/ay

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Q: Given: region R below bounded by the graphs of y=√x-3, y = 9 - x, and y = 0. (7,2) R (3,0) (9,0) (a)…

A: We will use integral to find area and volume  Arc length of y=f(x) from x=a to x=b  L=∫ab1+dydx2dx…

Q: Use the washer method together with Simpson's Rule with 4 subintervals to estimate the volume of the…

A: Simpsons ⅓rd rule  (h/2)[g(1)+4g(2)+2g(3)+4g(4)+g(5)]

Q: Year Enrolment Year 2011 1,200 2015 2012 1,500 2016 2013 2,000 2017 2014 2,500 2018 Forecast the…

A: In this question, the concept of average is applied. Average The arithmetic mean is the ratio of the…

Q: The hyperbola with the given equation is centered at? * 16y² -9x² +36x + 96y - 36 = 0

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Q: ansform of the follow 1

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Q: y" − 7y' +6y=−e* [17 cos x-7 sin x] y(0) = 4; y'(0) = 2; -

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Q: Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give…

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Q: Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give…

A: As per the question we are given a 3d region S defined as the interior of the surfaces : z=x2 ,…

Q: Instructions: Show all your work. Answers with no work will not get any 1. Use induction to prove…

A: The solution of the question is given below.

Q: 4. Let R be the relation {(1, 2), (1, 3), (2, 3), (2, 4), (3, 1)), and let S be the relation {(2,…

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A: You have asked multiple question ,we will solve first one as per our policy statement. If you want…

Q: determine the value of s, v, and d using matrix method: s+2v+2a=4 3s-v+4a=25 3s+2v-a=-4

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Q: II. Find the determinants or prove the equations in the following. Properties of determinants or…

A: We need to find , determinant of a2 + 2a2a + 112a + 1a + 21331 We will use cofactor method ,  For…

Q: f(t) = 1, 0≤t≤ 0, <1<T f(t+T)= f(t), t≥ 0. T72 - T 3T/2 - 2T

A: This is a problem of Laplace Transform.

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A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Formula valid for matrices? explain why? (A + B)(A - B) = A²B²

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Q: Consider the constrained optimization problem: min f(x), subject to ||||₁ ≤ 1. We apply a projected…

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Q: Let ƒ be a mapping from [2, +∞ [to, +∞[defined by: 3 f(x) = x + = x f has a fixed point. O False O…

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Q: Using any of the methods discussed for both numerical differentiation and numerical integration…

A: Solution : Solution of an Equation sin(x)-x3+1=0x1=2 and x2=4x=3.1Step value h = 0.5 using Newton's…

Q: C64220 4) Find the volume of the solid whose base is the triangular region with vertices (0, 0), (0,…

A: We will find cross sectional area and then use integral to find volume

Q: y'(0) = 1. y'(0) = -0.5 y'(0) = 0. y'(0) = 7. '0) = 0. )) = 4. )) = 2. y₂ (0)=0. x: (0)1 23) 4y"-8y…

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Q: I. EVALUATE THE FOLLOWING LIMITS. SIMPLIFY AND ENCLOSE FINAL RESULTS. 5. Lim xsinx x→ 0+ 5

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Q: Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give…

A: The volume of a solid S in polar coordinates bounded by the surfaces z1=f1x,y and z2=f2x,y can be…

Q: If F(x) = ["* e¹² dt, find F(1) and F'(x).

A: If y=f(x), then x is called the input, and y is called the output of the function.  The derivative…

Q: dius 9 units and center dius 3 units and center

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Q: 4. Find the length of the curve defined by Ả(t) = (3t+1, 4t³/2, 4 – 3t²) from the point (1,0, 4) to…

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Q: the set S = [-10, 10] Define the function g on S g(x):= Does g have a maximum and minimum on the set…

A: Taking t =0 ,  g(x) = -x              if x∈[-10 , 0)1-ex                 if x∈[0,10]          g do…

Q: 6. Two point charged particles are 4.41 cm apart. They are moved and placed in a new position. The…

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Q: Consider the constrained optimization problem: min f(x), subject to ||ï||₁ ≤ 1. We apply a projected…

A: Solutions

Q: C -9 -3-15 0 -7 0 -6 5. Let A = where c is an unknown scalar. " 0 7 2 13 0 40 3 (a) Without using…

A: Given :                      A = c-9-3-150-7   0-60   7   2  130   0   03  Now for characteristic…

Q: Find the 103rd derivative of cos(2x).   Hint: find the first few derivatives and observe a…

A: First find nth derivative then put n=103 to find the 103rd derivative as in next step.

Q: Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give…

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Q: Let p». Prove that, for every e > 0, a.a.s. the largest component of G(n, p) has size at least…

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Q: Draw a Venn diagram to represent each relationship. 1. Some people check out books 2. There are no…

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Q: 4-x²-y² 1 Evaluate ²4-y² So coordinates. x²+y²+z² dzdxdy by using spherical or cylindrical

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Q: The Minimum point of y = 8x+4 (x-2)²

A: Use a graphing utility to plot the function. Use the utility to determine the minimum point.

Q: Simpson's Three-Eighths (Use n = 12) 9. So¹ (3x²+3) dx 10. (2 sin x + 3cos 2x) dx

A: First we find general solutions: 9.  ∫13x2+3dx=∫13(x2+1)dx=13∫1(x2+1)dx=13tan-1x +c    then…