Find all asymptotes of the rational function    Q(x) = (x^2 - 1)/(x + 2)

Q: Find f-1 (x) for f(x) = - 5 3x-2 O f-¹(x) = ³xx 3x-2 5x O f-1(x) = -3x + 2x 5 3x 2 O f-¹(x)= ³x-² 5…

A: In this question, we want to find the inverse of the given function.

Q: Let Σαπ an be any series. Suppose that lim n-100 an+1 an =C.

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Q: Suppose that the position of a particle is given by s = f(t) = 7t³ + 2t +9. (a) Find the velocity at…

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Q: Evaluate the integral. 3 ㅇㅇ 를 O 229 이름 sin³ 3x dx

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Q: According to the Extreme Value Theorem, if a function f is not continuous on (a, b), then f does not…

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Q: |B| = = B²} + B² + B²

A: The expression |B|=√(B^2x+ B^2y+ B^2z) represents the magnitude or length of a three-dimensional…

Q: Find the rate of change of fat the indicated numbers. f(x)=x²-5 (a) c = -7 f'(-7)= (b) c = 7 f'(7)

A: Given query is to find derivative at indicated points.

Q: Find exactly the vector oppositely directed to v = (5) and half the length of v.

A: Given, Vector ,v = 5

Q: AY ILILI - m IN 987

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Q: 4x x+1 a. Calculate the critical numbers. 2. Given the function y=x-- b. Determine the absolute…

A: Given the function y=x-4xx+1. (a) To calculate the critical numbers. (b) To determine the absolute…

Q: Consider the function f(x) = 3 - 8x2 on the interval [-5, 7]. (A) Find the average or mean slope of…

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Q: Find the equation of the tangent line to the curve y = 6 sin z at the point (7,3). The equation of…

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Q: A retail outlet for calculators sells 720 calculators per year. It costs $2 to store one calculator…

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Q: Find f (x) for f(x)=-- O f-¹(x) = -5x2 O = f-¹(x) 2 5x+3 O f-¹(x)= 3x 2 O f-¹(x) = 5x-3 -2x 5x-3…

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Q: -6 -4 -2 y I 6 4 2 2 -4 -6 2 f(x) g(x) 4 X

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Q: Find the differential of the function. y = √5 + cos(0)

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Q: 29. If A is an n x n matrix and the equation Ax=b has more than one solution for some b, then the…

A: Solution: 29) If the equation Ax = b has more than one solution for some b, then the columns of…

Q: Determine whether the statement is true or false. If lim_ an = 0, then an is convergent. n → ∞…

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Q: The equation of motion of a particle is s = t³ - 27t, where s is in meters and t is in seconds.…

A: Given motion particle:- s=t3-27t

Q: Find the linearization L(x) of the function at a. 3 f(x) = √√√x, X, L(x) = a = 125

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Q: Identify the x-intercepts for: f(x)=x²+x-12 O (0, -4) (3,0) O (-4,0) (3,0) O (0, -4) (0, 3) O(-4,0)…

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Q: Calculate the integral, if it converges. If it diverges, enter e5x S²∞ 1+e5x dx = diverges for your…

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Q: Find the derivative of the given function. g(x) = x + ¹ g'(x) =

A: To find derivative

Q: Consider the following linear differential equation, (a) Calculate the Integrating factor. I(z) -…

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Q: Q2. Find the equation of the tangent line to f(x) = x³ - 5x² + 1 at x = 1.

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Q: The functions are all solutions of equation: C = с y = x² + € / xy + 2y: = 4x², (x > 0). Find the…

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Q: Let u = (5,5), v = (1, 3), w = (17,-4). Find the vector x that satisfies 3u2v + x = 6x + w. NOTE:…

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Q: Set up an integral for finding the Laplace transform of the following function: f(t) = { 1 ²+5₂ t 5,…

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Q: question is not answered

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Q: Find the tangentline and normal line for the point (-1, 0) for the curve given the function y3 cosh…

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Q: If f is continuous on a closed interval [a,b], then f necessarily attains an absolute maximum value…

A: The given statement, If f is continuous on a closed interval a, b, then f necessarily attains an…

Q: Find u and v if u+2v = 2i – k and 3u - v=i+j+k. NOTE: Enter the exact answers in terms of i, j and…

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Q: A farmer wants to build two adjacent rectangular pens sharing a common side. Each pen needs to be…

A: A farmer wants to build two adjacent rectangular pens sharing a common side. Each pen needs to be…

Q: The distance that an object falls varies directly as the square of the time it has been falling. An…

A: Given query is to find the distance fallen in 8 second.

Q: Jo 0 π/4 -7 cos² (0) tan² (0) do

A: Integration

Q: Q1. Compute the following derivatives: = (a) dx (c) (b) =[5 - 3x] = = dx [] = d) [6 = dx

A: see below the answer and calculation

Q: Find the area of the region bounded by the graphs of the functions: f (x) = sin 2x and g(x) = cos 4x…

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Q: Find the smallest positive root of the equation ex cos(x) 201 Correct to 4-decimal Places, take Xozl…

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Q: Solve the following differential equations. sin x)dx 1. dy=[ytan x + +e²x

A: We can solve it as below.

Q: Find the derivative of the given function. (It may be to your advantage to simplify the function…

A: f(z)=z2+20zax.ay=ax+y

Q: a. Set up an integral for finding the Laplace transform of the following function: f(t) = = [0, t +…

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Q: et f(x) = 7xex. (a) Find f '(x) and f "(x). f'(x) = f"(x) = (b) Find the exact value of x so that…

A: We differentiate the function twice. A function will be concave up if f"(x)>0

Q: Find the limit by rewriting the fraction first. xy-y-5x+5 X-1 lim (x,y)-(1,7) X#1 lim (x,y)→(1,7)…

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Q: U.S. Cell Phone Subscribers The number of cell phone subscribers in the United States between the…

A: Given: N(t) = 385.4741+2.521e-0.214t for (0 ≤ t ≤ 10) , where N(t) is measured in millions and t is…

Q: Find the limit by rewriting the fraction first. xy-2y-9x+18 x-2 lim (x,y) → (2.2) x=2

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Q: (a) Find the values of: g(2) g'(2) = (b) Is g"(2) positive, negative, or zero? ---Select--- (c)…

A: Since you have asked multiple part question, we will solve the first 3 part of the question for you…

Q: Use the Root Test to determine if the following series converges or diverges, or if the test is…

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Q: [3t 3t sin(t) cos(t) dt

A: we will find the required.

Q: The function f(x) -2x³ + 30x² - 144x + 6 has one local minimum and one local maximum. This function…

A: Local maximum and minimum of fx=-2x3+30x2-144x+6

Q: Graph the following equation using reflections and shifts. f(x) = (-x+ 1)² +2 O 17

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