Find all asymptotes of f(x) +3x³+x²+4x+5 x²+1 =x² + 3x + x+5 x²+1

Q: Compute secant slopes of f(x) through A f(x)=√49-z² approximate the instantaneous slope at: A: (-5,…

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Q: Suppose that the sequence {xn} of real numbers is bounded. Prove that lim (as n→∞) xn/n^k = 0 for…

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Q: Find the area A of the region bounded by the graphs of the equations. Use a graphing utility to…

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Q: Let f(x) = 2x + 5 and g(x) = 3x − 8, determine the domain of h (x) = g(x) = f(x) ○ (-∞, -)U (-7, ∞)…

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Q: Which of the following is a solution to the differential equation Select all that apply. Oy=0 −4+ 4y…

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Q: 1. Sketch one cycle of the following trigonometric equation, y = −2 sin(3x – 180°) + 1.

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Q: Determine whether the equation is exact. If it is, then solve it. 4 (4x³y + 3) dx + (x-9) dy = 0 For…

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Q: z-6 Consider the function f(x) = 7+6) Of(x) has an oblique asymptote f(x) has a vertical asymptote…

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Q: Use spherical coordinates to evaluate JS = E where E lies between spheres x² + y² + z² = 1 and x² +…

A: given integration  where E lies between spheres x² + y²+ z² = 1 and x² + y²+ z² = 4 in the first…

Q: Find the volume of the solid obtained by rotating the region enclosed by the graphs of y = 18 - x, y…

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Q: Evaluate the limit: 1-cos 3t lim to sin 7t

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Q: eq of tangent Find to f(x) = √5x-1 5 given f'(x) 255x-1 at lone x=2

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Q: 3x x-∞0 px+7 a) lim- = 2

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Q: Find the local maximum and minimum values and saddle point(s) of the function. If you have…

A: Given:function To find:local maxima, local minima and saddle points.

Q: The graph of a particle's position x(t) (so the x-axis measures tine anthe -axis measures and t = 1…

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Q: The volume of the solid obtained by rotating the region enclosed by y = x², y = 4x, about the line =…

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Q: For each of the following pairs of vectors x and y, find the vector projection p of x onto y. 2 -2…

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Determine the open intervals on which the function is increasing, decreasing, or constant. (Enter…

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Q: then A-¹ = A = [ 3² ],

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Q: Solve the initial value problem for r as a vector function of t. d²r Differential equation: = -18k…

A: To solve the following initial value problem.Differential equation: Initial conditions:

Q: .A stone is dropped into some water and a circle of radius r is formed and slowly expands. The…

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Q: Which of the following equations contains an oblique asymptote? Of(x) = 2²-42+2 x+2 O f(x) = 21 O…

A: The given functions are

Q: 3. Find the interval(s) where the function is increasing and the interval(s) where it is decreasing.…

A: g(x)=x4−18x2+7Using the power Ruleddxxn=nxn−1

Q: For the function, find the relative maxima, relative minima, and horizontal points of inflection.…

A: Given:a function To find:extreme points and inflection pointsTo find critical points we put…

Q: (5) (x² + 3y2) 35 = x

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Q: Find the area of the sector of a circle with radius 19 inches formed by a central angle of 290°:

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Q: Find the indefinite integral. (Use c for the constant of integration.) [(42³1 + 4t³i + 16tj − 9√/tk)…

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Q: A particle moves along the x-axis so that its position at time 0 < t < 18 is given by x(t), whose…

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Q: for small values of hℎ we estimate that riserun=f(π+h)−f(π)h≈

A: The objective of the question is to estimate the value of the expression (f(π + h) - f(π)) / h for…

Q: If u=(−3,2)�=(−3,2)  and v=(−3,3)�=(−3,3)  then proju(v)≈

A: Given vectors are The formula of

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Q: Suppose your demand function is given by D(q) = -q^2 -2q +585, where q is thousands of units sold…

A: The objective of the question is to find the price to be charged for the item if 8000 units are to…

Q: 10. Let a = (a₁, a2, a3), b = (b₁,b2, b3), and = (C₁, C2, C3) and y be a scalar. Prove the following…

A: Prove the associative property and distributive property.

Q: A cardboard box without a lid is to have a volume of 16,384 cm³. Find the dimensions that minimize…

A: Let the length of the box ftLet the width of the box  ftLet height of the box  ft

Q: Limit= Evaluate lim 00 sin² 30 30

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Q: 17) Calculate the indefinite integral S-5dx √4-16x² 16) Evaluate the definite integral Š - 0 3…

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Q: Find the absolute maximum and minimum values of f on the set D. f(x, y) = 2x³ + y² +5, D = {(x, y) |…

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Q: Find for the following mathematical dy dx equations: f(x) = (2x²-1)(3x²+2) f(x)= x²-2 x²+2 ●fx)=√x4…

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Q: Solve the initial value problem for r as a vector function of t. d²r Differential equation: वहर =…

A: The given diffferential equation is  and

Q: We want to build a cylindrical tank with a volume of 216 m^3. The tank has no lid and the material…

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Q: 6. Two moles of an ideal gas, in an initial state P=10atm, V= 5 liters, are taken reversibly in a…

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Q: The graph of f is given. State the numbers at which f is not differentiable. (Enter your answers as…

A: The function is non differentiable Where it is discontinuous.Where a sharp/corner point exists on…

Q: . An airplane has a ground velocity of 400 km/h, [N60OW]. The plane is affected by a90 km/h wind…

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Q: Find the area under the graph of f(x) = 2-3 and above the graph of f(x) = 0 for x in [5,6] by…

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Q: Conclude that the sequence (an) is a decreasing sequence, where 1 2 1 an = 1+ +.... + - In n. n Draw…

A: The objective of the question is to determine whether the sequence (an) is a decreasing sequence,…

Q: Consider the following function. y = x2/7 (a) Find y'= f'(x). f'(x) = (b) Find the critical value.…

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Q: Calculate r' (t), T(t), and T(2) where r' (t) = {| T(t) = ( T(2) = ( 9 r(t) = (2t², 2t¹).

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Q: Find the volume of the given solid. 64 9 under the surface z = 7xy and above the triangle with…

A: The objective of this question is to find the volume of the solid that is under the surface z = 7xy…

Q: 2. Let f(x)=√x + 2 and a = -1. a) Find the derivative of f(a) using the limit definition lim h→0 b)…

A: All the questions are solved below

Q: When using trigonometric substitution to solve an integral containing 4x2-9, which of the following…

A: To find the trigonometric substitution to solve an integral containing