Find any horizontal and vertical asymptotes for the function. (Enter your answers as a comma-separated list of equations. If an answer does not exist, enter DNE.) x + 1 y = x² - 16 horizontal asymptotes vertical asymptotes

Q: Find the domain of the rational function. 2x g(x) = (x + 4)(x - 9) {x|x # -4, x * 9, x * -2} all rea...

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Q: Find the specified term of the geometric sequence. a5: a1=7, a2=28, a3=112,… a5=

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Q: Below is the plot of a function f(x). 15t 14 13 12 10- 8- 4. -9 -8 -7 -5 -2- -7 -8- -10- -H- -12 -13...

A: According to the graph, there is a local maxima at x=-3 and a local minima at x=1

Q: IV. Determine whether the given series is convergent or divergent. Justify your answers. +00 (2n)! 2...

A: a) By using telescoping series test, the given series converges.   b) By applying Series Ratio test,...

Q: dy given the equation a+y° = e. dz Use implicit differentiation to determine dy %3D dz > Next Questi...

A: dfx±gxdx = d(f(x))dx± dgxdx dxndx=n.xn-1 dexdx=ex

Q: 3.) Find y': Given: y = coth NIK

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: 1. lim (x+5x2 – 7x + 1) x-2 ( x +4 if x<-1 if – 1<x <1 if x 21 8. lim f(x), where f (x) =3 2x + 1 IM...

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Q: The drawing below shows a right-angled triangle. A straight line crosses the triangle parallel to th...

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Q: Find a formula for thr nth term of the arithmetic sequence. 24,22,20,18,16, …

A: Given query is to find the nth term of the sequence.

Q: Properties of Inverse Matrices If A is an invertible matrix, k is a positive integer, and c is a non...

A: we will use the property,  (AB)T = BT AT   and  AA-1 = I   

Q: fip given the equation a+y = e. dz Use implicit differentiation to determine dy da > Next Question

A: Given query is to find the derivative of the expression.

Q: A drug manufacturer has developed a time-release capsule with the number of milligrams of the drug i...

A: topic - average of Function over interval

Q: Find the equation of the tangent plane to the surface z = e17 In(1y) at the point (-3, 1,0). Note: Y...

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Q: sequence is defined recursively as sk = sk-1 + 3k  for k ≥ 2. s1 = 4 s2 =  s3 =  s4 =  s5 =

A: A sequence is defined recursively as sk = sk-1 + 3k  for k ≥ 2. s1 = 4

Q: Determine whether the improper integral converges or diverges. If it converges, determine the value ...

A: To check: Whether the integral converges or diverges. Given information: The integral is ∫16 2x-545d...

Q: Use implicit differentiation to find an equation of the tangent line to the ellipse defined by 2x^2−...

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Q: The result of the integral dx (x + 2)(x + 1) is equal to Select one: O a. None of these O b. In|x + ...

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Q: Gutance of ** AS m pole, leaning against a wall slips in such a way that its base is vdn moving away...

A: We will use Pythagoras theorem .

Q: III. For each of the following series, determine whether it is convergent or divergent. Justify your...

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Q: Find the solution of y" +10y +25y = 49 e with y(0) 8 and y' (0) = 5.

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Q: Question Select your answer. x + 2 Find the derivative of f(x) = with respect to x. 3x 2 9x 2x – 6 9...

A: Solution:

Q: D. • Evaluate the indefinite integral. x4-4x²+8x` dx and Identify what is the u=? and du=? Show the ...

A: Given: I=∫x4-4x2+8x2xdx   ...1 We know that; The sum rule: ∫fx±gxdx=∫fxdx±∫gxdx The Power rule: ∫xnd...

Q: 21 Solve the equation on the interval [0,27]. sin20 + sin0 = 0

A: Given query is to find the solution of the trigonometric expression.

Q: Given the following matrix and its eigenvalues -2 3 has eigenvalues R, = -3 and R, = 7 3 6 1. Find t...

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Q: 8) y"+4y' +5y= 0

A: Since you have posted multiple question, as per guidelines we can solve only one question at a time ...

Q: Find the area under the curve 2.5 y = 1.5x %3D from x = :7 to x = t and evaluate it for t = 10, t = ...

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Q: For each function, determine whether it is a polynomial function. Is the function a polynomial? Func...

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Q: 1. Express B= 2i +j-3k as the sum of a vect or parallel to A = 3i - j and a vector orthogonal to A. ...

A: To express the vector B→=2i^+j^+3k^ as the sum of a vector to A→=3i^-j^. Solution: let B→=2i^+j^+3k^...

Q: 2x² +3 dx x(x – x(х — 1)2

A: Find your answer below 

Q: Question The function s(t) = 3t2 – 4 gives the position in feet of a moving object at time t seconds...

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Q: Given the triangle below, find sec(0). Enter an exact answer in fraction form. 5 12 13 Provide your ...

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Q: The parallelogram ORSTIS formed by the vectors OR = (2, -1, 4) and os = (3, -2, 1). A line is drawn ...

A: We need to determine length of RA.

Q: Find the sbe and equation of the TANGENT and NORMAL LINE to the curve Graph cach curve, Kormal, and ...

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Q: a) Kindly find out if this series is whether convergent or divergent. b)Explain and justify the answ...

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Q: B. Hyperbolic Functions 4. y = e-* cosh In (x) 5. x = Arcsinh?(1 – b)

A: Please check question number 5, there is a mistake. I am solving question number 4. Please rectify a...

Q: Give the equation of the horizontal asymptote, if any, of the function. g(x) x2 + 8x - 3 x- 3 Oy=0 O...

A: Since, when the degree of numerator is greater than degree of denominator by one then there is no ho...

Q: satellite is moving in an elliptical orbit about a planet. The equation of its planar orbit is 3x? -...

A: Given query is to find the velocity in x direction.

Q: Let C be the graph of the equation In(3y – 2e") = sinh (ma) - tan(y- 1). dy (a) Find da (b) Find an ...

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Q: Question Select your answer. What is the equation of the tangent line to the function 1 y = 2 1 I + ...

A: slop, and tangent line

Q: 3.) A fencing is limited to 50ft length. What is the maximum rectangular area that can be fenced in ...

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Q: C. Apply the chain rule to find the derivative 1. y = (8 - 3x )3 3. y = (1-x)7 2. y = V2x + 1

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Q: Catalyst Portal Welcome, James.. University of Cinci. O FBI NICS Sports South Lipsey's O YouTube () ...

A: Given query is to find the demand at price of $19  

Q: (2×+1)² dx 2x

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Q: What is the slope of the line tangent to the graph of a function defined by f(x)= 2x²-4x+5 at (-1,11...

A: f(x)=2x2-4x+5Let y=2x2-4x+5Differentiate 

Q: ∑ n=1    1/9n^2-18n+8

A: Given ∑n=119n2-18n+8Now lets substiute n=1 and solve

Q: Find the equation of the surface of revolution generated by rotating the part of the curve z= Sen (y...

A: Since there is no Sen function existed in math, the problem has been solved assuming the given curve...

Q: The monthly costs for a small company to do business has been increasing over time due in part to in...

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Q: You want to build a 1000 square foot rectangular infinity pool. Three of the sides will have regular...

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Q: 238 The isotope of plutonium 40° Pu is used to make thermoelectric power sources for spacecraft. Sup...

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Q: +00 1 4n2 – 8n + 3 n=1

A: The given series,       ∑n=1+∞14n2-8n+3