Question 12 < > Determine the equation of the vertical asymptote and the equation of the slant asymptote of the rational function. 16r² - 28x +3 f(x) - 8x + 2 The equation of the vertical asymptote is The equation of the slant asymptote is

Q: Describe the end behavior (long run behavior) of f(x) = 28 As → →→ ∞, f(x)→ ? As I→ ∞, f(x) → ? v

A: This question can be solved using the concept of limits.

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A: Follow the procedure given below.

Q: Consider using the method of partial fractions to solve dx x²+x+1 2x²+2+x³+x - dx = [Aƒ (x) − B…

A: Given problem:-

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A: answer is in next step

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Q: B C D N Given: √-x² + 4x+5 dx. Using trigonometric substitution, what is the integral form in terms…

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Q: Write an equation for the quadratic graphed below: x-intercepts: (-1,0) and (4,0); y-intercept:…

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Q: Compute the quadratic form x Ax for A= Xx₁ 12 - a. x = b. x= 1 X2 a. x¹Ax= 3 2 [1] 10 C. X = and…

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Q: Given The boundary of C: 0 ≤ x ≤ π,0 ≤ y ≤ sinx With Green's Theorem, Evaluate this line integral. $…

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Q: 1 sinx+cosx+1 -dx

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Q: Use the method of Lagrange multipliers to maximize the function subject to the given constraint.…

A: we have to find the point (x, y)

Q: sin³ (cos(4) dx 2 32 Ⓒcos A COS 35 32 B 35 32 Ⓒ-3 cos (4) C 32 D 3/7/7 C (4)[-5cos (4)+7] 5³ (4)…

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Q: 18) fin

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Q: Calculate the derivative. ƒ(x) = (6e* − 7x²) (x³ + 1) (Use symbolic notation and fractions where…

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Q: I. Evaluate the following limits. Using L'Hôpital's Rule is not allowed. 1+ 1. lim. 2-12x²+x-1

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Q: O parabolic cylinder

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Q: olve the nonlinear inequality using the Number Line method and Interval Notation. Make sure to test…

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Q: +3x²+7x+28 18. Using partial fraction in evaluating x³+x²+7x 1/2(2x + 1) - 17/7/2 6-2x -…

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Q: log(x+3) z-1-1-cosh(cos-12) 4. lim

A: Given,            limx→1-log12x+31-coshcos-1x

Q: Given the function f(n) = 3n¹ +33n³ +90n²: its f-intercept is its n-intercepts are

A: We can find the intercepts as below in the following steps.

Q: 15x²x³43x - 19 The integral (x + 1)²(x² - 6x + 13) Ax + B What is the value of dx ? ax²+bx+c 31 -…

A: Given integral ∫15x2-x3-43x-19(x+1)2(x2-6x+13)

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

A: We have to integrate the given function for the given limits

Q: Given the price-supply function p = S(x) = 10(e0.02x - 1), find the average price (in dollars) over…

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Q: x³ dx Using integration by parts to solve f √4- - 1x², and letting u = - then v = = f(x) is : ...

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Q: 1. S =dx = -Arcsin x√x²-4x-1 +2 X √5 +c

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Q: Consider the quadratic function f(z) - 2² +0z + 4. Determine the following: (enter all numerical…

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Q: Using integration by parts, 2 x³ cos(x²) dx = k Then k is? (a) - 1.5136 (b)-1.1365 2 x sin(x²) dx k…

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Q: A d B C Ca D b 15x²x³43x - 19 (x + 1)²(x² - 6x +13) Ax + B Slax + lax² + bx+c ff (mx + n)t The…

A: The given integral is  (15x2-x3-43x-19) /[(x+1)2(x2-6x+13)].

Q: List intervals on which the following function is INCREASING. Use INF for infinity, use no spaces,…

A: The given function,    fx=3x2-1

Q: Find Do not simplify your answers. dy da 1. log;(√2x² + y) + tan(x² − 7") = sin¯'¹(x² − 1) + ½

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Q: Find the arc length of the parametric curve. L x = 4 cos(t), y = 4 sin(t), z = 3t; 0≤t≤ T

A: Given problem:- Find the arc length of the parametric curve.   x = 4cos(t), y = 4sin(t) , z = 3t ; 0…

Q: Question 5 A) O B) 48 32 D) 96 If f cos+2t dt = At - B sin 2t cos 2t + D sin 4t cos 4t + C where A,…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 2-1 dy y2-2y-1

A: Explained below

Q: 2x+1 x²-7x+12 S -dx

A: At first, we will do partial fraction then we will do integration

Q: Integration of Algebraic Functions By trigonometric Substitution dx 6. S x²√4-x² dx 7. S- √81+x² X…

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Q: a. Find the volume of the solid obtained by rotating the region bounded by y = x³, y = 8, and x = 0…

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Q: sin(x)cos(2x)sin(3x) dx A B D sin(3x) cos(3x) sin(2x)cos(2x) sin(2x) + + 12 8 sin(3x)cos(3x) 12 +…

A: We have to find integration of given trigonometric term.

Q: Calculate the first, second, and third derivatives of 9 y(x) = 48 + x (Use symbolic notation and…

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Q: Choose ALL of the following intervals on which the following function is continuous. 2-4 f(x) = 2²²6…

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Q: Use the formula k(t) k(t) = = ||r'(t) × r"(t)|| ||r' (t)||³ = 10t: r(t) = e¹⁰ti + e-tj to find k(t).

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

Q: Using trigonometric substitution to solve: f cos x dx 3 (4-sin²x)2 11

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Q: Suppose that $2000 is placed in a savings account at an annual rate of 4.2%, compounded monthly.…

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Q: Find the integral: x2-2/x+1 dx choices: a) x2/2 - x - In(x+1) + C b) x2 - x - In(x+1) + C c) x2…

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Q: Explain why you think the sequence -2, 25 125 " ... 8 2 32' . converges to a finite number or…

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Q: Find the domain of the vector functions, r(t), listed below. using interval notation. 1 a) r(t) =…

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Q: A group consists of four men and seven women. Six people are selected to attend a conference a. In…

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Q: Evaluate Ic (2x - y) dx + (x + 7y) dy. C: x-axis from (0, 0) to (0, -7) and (0, -7) to (9, -7)

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Q: Find the exact arc length of the curvex = 1 3(1² Enter the exact answer. L = + 2)² from y = 1 to y =…

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