Find the equation for the horizontal asymptote of the graph of the function. (If an answer does not exist, enter DNE.) 2x2 9x f(x) x3 8x + 1

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Q: Use the graph to find the following limits. a. lim f(x) b. lim f(x) x -1 X-1 a. Find lim f(x) or…

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

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Q: On the circle x? + y² = r², find y". C. y": A. y" = =* E. None of these y -x3 -x2 - y? D. y" = В. у"…

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Q: A) Find f(x + h) and SIMPLIFY. f(x + h)%3D B) Find f(x + h) - f(x) and SIMPLIFY. f(x+ h) - f(x) =||…

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Q: x = 2 + 5 cos t Consider the parametric equations for 0stsa. y = 8 sin t

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Q: 6. Calculate the locations of maximums and minimums of the following functions: Show work in…

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Q: dx (9 – 4.x²)³/2 2,3/2

A: Use substitutions to make it more simple

Q: 5. The cost C (in dollars) of producing x units of a product is given by the following. C= 3Vx + 400…

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Q: f (x) = x³ + 4xª + 3x³ – x² + & 1. ,2 -

A: Since we are given with the multiple number of question and our guideline is solve first question…

Q: Find dy/dx of 6x? – 4y² = 10 at (1, 2) 3/2 None of these 4/3 -3/4 -4/3

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Differentiate each function by applying chain rule. Match each item to a choice: y = x(x² + 3)² f…

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Q: If a vector v lies in the third quadrant and makes an angle n with the positivex - axis and…

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Q: Evaluate the limit x2+19x- 48 lim x--3 x2-11x+42 O a. а. 0 b. None of these. С. 13 11 d. 00 е. 13 17

A: Limits

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Q: Evaluate the given imit 1. lim (x-1)? 2 メ→! In x 2. lim 3X - 2 × 3. lim (4x+1) ot x

A: As per guidelines, I can answer only one question. Since you have asked for multiple, So I did first…

Q: dr Find de r= 3 sec 0 csc0

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Q: 2. The number, N, of bacteria in a culture at time t, in hours, is N(t) = 1000[30 + e a. What is the…

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A: Given:        y  = 3x2-4x+2

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Q: Let -1 <a < 1, the series r na" is the power series representation of the n-1 function Select one:…

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Q: Find the area of the region between the curves 4x + y? = 12 and z = y. Area between curves =

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Q: 8. Using the Mean Value Theorem and Rolle's Theorem, show that3 + x – 1 =0 has exactly one real…

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Q: f'(x) =-+e²* +x²and f(1)=. Find f(x) Given

A: Here, given that: f'(x)=1x+e2x+x3⇒f(x)=∫1x+e2x+x3dx+C⇒f(x)=∫1xdx+∫e2xdx+∫x3dx+C⇒f(x)=ln…

Q: Refer to the figure below to find the limit lim f(x). X - 00 3.5- 2.5- 1.5- 1- 0.5- 2.

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Q: x-16 x'+8 The function f(x)=D- has derivatives f'(x)= 48 and f"(x)=- 10 (d) Determine the intervals…

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Q: To find the distance across a small lake, a surveyor has taken the measurements shown. Find the…

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Q: Given the function f(x) = -x* - 4x determine its critical points and classify them, determine the…

A: We have to find the points and check the nature of function.

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Q: 4. Find the Linearization of f (x) = sinx at a 5. Provide your answer as L(x) =? %3D

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Q: Q2 Find the volume of the solid in the first octant bounded by the coordinate planes, the plane x =…

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Q: 18. Find [ 2x°(2x* -1) dx

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Q: 2+Secx-

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Q: The curve below has a horizontal tangent line at the point (1, 1) and at one other point. Find the…

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Q: 3. A girl is flying a kite on a string. The kite is 120 ft. above the ground and the wind is blowing…

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Q: The solid shown in figure consists of cone of radius (r) and height (h) and a hemisphere of radius…

A: Given : h(t) = 2t2-6 (cm)              r(t) = 8-t2 (cm)                t= 2 sec

Q: 7. Find the exact x-value where the function f (x) = x + In (p² – 1) attains a maximum value. An…

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Q: x-3 dx r³+9x +9.x

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Q: ,11,,11 x"yll The expression log can be written in the form 24 A log(x) + Blog(y) + C log(z) where A…

A: logmn=log(m)-log(n) log(m.n) =log(m)+log(n) logmn =n log(m)

Q: The volume of the solid obtained by rotating the region enclosed by y = eSz + 2, y = 0, T = 0, I=0.4…

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Q: Find the limit. lim x--s+ (x + 5)2

A: The given limit,limx→-5+1x+52

Q: Find parametric equations for the line that is tangent to the given curve at the given parameter…

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Q: 7. Find the exact x-value where the function f (x) = x +ln (x² – 1) attains a maximum value. An…

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