Suppose that the functions q and r are defined as follows. q (x) =x? +9 r (x)= /x+8

Q: Consider the function the following rational function 10+ 4. -8 -6 -4 -2 -4 -6 -8 -10+ 1. The equati...

A: We have to determine vertical and horizontal asymptote

Q: Compute the surface area of the cone generated by revolving the curve c(1) = (1, mt) about the x-axi...

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Q: Express the repeating decimal as a fraction. 0.4713 43 43 43...

A: Given:- the repeating decimal 0.47134343... To find :- fraction

Q: Determine the orthogonal trajectories y-3x+1=ce 3x

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Q: solve

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Q: Classify the following as finite or infinite sets {x|x is a whole number less than 50} {x|x...

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Q: Find 16. f t sinh mt dt 17. e sin 30 d0 18. ecos 20 de

A: detail solution is given below.

Q: 1. .f(x) = [(x² – 9)Vx + 2]°

A: As per our guidelines we are supposed to answer only one question.kindly repost other question as a ...

Q: Find the coordinates of points where the graph of f(x) = -x + 6x2 - 9x + 17 has horizontal tangents....

A: topic - functions and derivatives

Q: VI APPLICATIONS 1. Solve for the orthogonal trgectories y2= 4x (1- kx) %3D

A: A detailed solution is given below

Q: Consider the curve C (a helix) parametrized by r(t) = (cos t, sin t, t), 0<t<4T. a) Compute the leng...

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Q: A man has $270,000 invested in three properties. One earns 12%, one 10% and one 8%. His annual incom...

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Q: Determine whether the series converges using the limit comparison test.

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Q: (x +3)² dx x + 3 Evaluate %3D +9 In(¤ + 3) – 6(x + 3) × (Don't forget to include the constant 2 of a...

A: Topic = Integration

Q: _6. What is the derivative of f(x) = (5 – x²)²? а. 2(5- х2) b. 10 – 2x2 C. 4x3 – 20x d.(5 - x?)(5 - ...

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Q: (DE- 6D + 25)у %3D0 y =

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Q: Find the minimum point for the curve y = x- 4x -1.

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Q: Question 12. for the function f(x,y) = sin(x + y)? Which of the following is the best description of...

A: Given function is: f(x, y)=sin(x+y)

Q: V9 +h – 3 21. lim h→0 h

A: Topic = Limits

Q: ( 3x²y + eY )dx + ( x³ + xe' – 2y)dy=0

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Q: Vx - 9 lim X→81 X – 81

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Q: Title: Differentiation Rules Tasks: Solve the following problems completely and accurately. Use the ...

A: Given :1. C(t)=10(9e-20t+1)-1 2. F(t)=1000t2+1To find : C'(t) and verify that C'(t)&gt;0 and F'(5)....

Q: 57. f(x) = 5x² at x = 10

A: Note: - “Since you have asked multiple questions, we will solve the first question for you. If you w...

Q: | (3x – 2)2 dx.

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

Q: For the function f(x) = 3x^4 + 4x^3 − 12x^2 + 7 (1) Find the intervals of increase/decrease (2) Fi...

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Q: I FIND THE INDICATED DERIVATIVE IN ITS SIMPLIFIED FORM: (x'-5x)* 1. y= d'y/dx'

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Q: If f(x) = 4+ - find f'(x). 3.

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Q: 4. y² +2xy = x+y

A: We know that; The Power law: ddxxn=nxn-1 The Product rule: f·g'=f'·g+f·g' The Quotient rule: fg'=f'·...

Q: 3. y = ( lat x 1

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Q: You are given the graph of a function f. 1 Determine the intervals where the graph of f is concave u...

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Q: A SKETCH the graph and DETERMINE the domain and range of the following piecewise function. (2 - x? 1...

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Q: (x-2y++)dx + ( 2xーy+2) dy =o 2. ー1

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Q: 14. A projectile is launched from ground level with an initial speed of 128 feet per second and a la...

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Q: dN A chemical substance has a decay rate of 9% per day. The rate of change of an amount N of the che...

A: The rate of change of an amount N of the chemical after t days is given by: dNdt=-0.090 N

Q: Use the method of Laplace transforms to solve d2f/dt2 + 2 df/dt + 5f = 0, f(0) = 1, f'(0) = 0

A: NOTE: Refresh your page if you can't see any equations. . for simplicity use the variable 'y' for '...

Q: For dy/dx = y2-3y classify the critical points as asympotically stable, unstable, or semi stable

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Q: ye(2y*) dy

A: Given the integral I=∫ye2y2dy     ....(1)

Q: Let f(r) (3sin a + 5 cos z)tan r)tan f (x)-

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Q: 10. Find the curvature K of the given curve. r(1) = ti +2sin(t)j+2cos (1)k

A: Curvature κ of the given curve r→(t) is T→'(t)r→'(t) where T→(t) = r→'(t)r→'(t).

Q: 17. Find all local maxima, local minima, and saddle points for the function: f(x, y) = x³ – 6x

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Q: (3x5 - 2x - 1) dz. dx

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Q: A. Find an equation of the level surface of f(r, y, 2) = 4.x2 + 22 that passes through the point (1,...

A: Given:     f(x,y,z) = 4x2 + z2      Point: ( 1 , 2 , 3 )

Q: 23 T Does the angle 45 have a compliment? If so, what is its compliment. If not, explain why.

A: Here we use the definition of the complementary angles.

Q: ( 3x?y + ey )dx + ( x3 + xe - 2y)dy=0

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Q: Test the series below for convergence using the Ratio Test. n2 0.8 n=1 The limit of the ratio test s...

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Q: Using a single integral, which method/s can be applied to determine the volume of solid generated by...

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Q: 4 (11) lim f(x) = X-0 (12) lim f(x): %3D |-10 -8 -6 -4 4 8 10 X +0 -2 -4

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Q: 39. Find lim f(x) if, for x > 0, 4x? – 5 4x6 + 3 - < f(x) < x6 x2

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Q: 1. y+x+y=x at ( 6, 3)

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Q: - 8x +16 lim メ→4 x* - 8x + 16 2-x

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