4. Consider the function f(x) and its derivatives below: f(x)=2x²-11 Horizontal asymptote(s) f'(x)= Intervals where f is increasing 20x (x²-4) Find all of the information listed in the table below. If there is no answer for an item listed, please answer NONE for that category. Please include all work below the table. Vertical asymptote(s) f(x)=-60x¹-80

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Q: Evaluate the triple integral x dV where E is the solid bounded by the paraboloid x = E : 6y² + 6z²…

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Q: 6. Find the area bounded by the curve ay = x² and the lines y = a and y = 4a.

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Q: e) 9x³ + 6x² + 18x + 12

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Q: Det er mine absolutely it each convergent, Conditionally convergent, you > k=1 the following is or…

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Q: 1. Simplify the following: a) b) 8 45x X 3 15y 20y 18x 2 (x² − 9) 5 2 x+5x +6

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Q: Evaluate f(1). b) Evaluate f(-1). c) Solve f(x)=2. d) Solve f(x)=-

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Q: A factory selling cell phones has a marginal cost function C(x) = 0.01x² – 3x + 229, where…

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Q: 17.The volume of a parallelepiped is given by the following formula: a. c.(axb) Calculate the volume…

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Q: Let à = (-2, 2, 3) and 6 = (4, - 1,5). Find the projection of b onto a. proj, b =< Check Answer

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Q: 3. Consider the following vectors: ä=7-2] +3k, b=27-3k, and a = -37 +2j. Compute the required…

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Q: -3 -2 -1 у 1 - 1 -2 -3 -4 -5- 1 2

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Q: Differentiate the following function. You do not need to simplify the derivative. F(x) = 4e²² F'(x)…

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Q: Consider the points A(3, — 5, 1), B(7, — 1, 0) and C(-1, 3, 4). Find 2AB + BC. O(-1, 2, 3) O(0, -10,…

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Q: f(x) = = -2x² + 7 7x - 10 if x -1

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Q: 2 (2y² + 5xy 4 Ο α. χ' (y² + 2xy = y + 2) = C O b. x4 (y² O 2y + 4) dx + x (2x + 2y − 1) dy = 0 - -…

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A: This question is related to differential equations, we will solve it using given information.

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Q: What is the interval of convergence of the series + +∞ (x+3)" 2n O a. (-5, -1) O b. [-5, -1] O c.…

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Q: Below is the function f(x)., 17+ 6 5 4 3 2 7 -7 -6 -5 -4 -3/-2 -7 -7 -2 -3 -4 -6 71 1 2 3 4 5 6 7…

A: Please see the below picture for detailed solution.

Q: 1. Find the area under one arch of the curve y = cos- :cosex.

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Q: Consider the points A(3, 5, 1), B(7, -1, 0) and – C(-1, 3, 4). Find 2AB + BC. O(-1, 2, 3) O(0, -10,…

A: The given points are A3,-5,1, B7,-1,0 and C-1,-3,4

Q: EX #3: Roller Coaster A hypercoaster is a special circuit roller coaster with a height measuring…

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Q: 5. (y4 - 2xy) dx + 3x² dy = 0; when x = 2, y = 1.

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Q: Find the value of C so that y(t) = Ce2t satisfies the initial condition y(1)=1

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Q: Evaluate J 2xz dV where E = E Round your answer to four decimal places. {(x, y, z) | 2 ≤ x ≤ 5, x ≤…

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Q: 7. Find: y = In dx √6x-5 [ Lex (x+1)³.

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Q: Solve the differential equation -1 (x + 3)¯¹ cos (y)dx cos (y)dx O a. cos (y) In b. cos (y) In -…

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Q: What are two numbers whose sum equals to 23, and whose product is a maximum

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Q: Consider the following second-order differential equation with constant coefficients, d² - z (x) − 8…

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Q: 2.fe-2y dy

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Q: f(x) = √x²-2 7+|x6| S if x < 2 if x ≥ 2

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