Find all critical points of f(x) = 9x³ + 9x-³. (Use symbolic notation and fractions where needed. Give your answer in the form of a comma separated list. Enter NO SOLUTION if the function has no critical points.) c = The First Derivative Test shows that the greatest critical point of f is a local minimum. False True

Q: Find the area of the region bounded by the given curves. y = 9x In(x), y = 36 In(x) %3D

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

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Q: 35. Tell if the following infinite series converges absolutely or 1* (-1)"? conditionally En=1 In n ...

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Q: Let a = and b =. Show that there are scalars s and t so that sa + tb =. You might want to sketch the...

A: a=-2, -1, 0b=-4, 1, 3sa+tb=s-2, -1, 0+t-4, 1, 3=2, 4, 3-2s-4t=-2s+2t=1 ...(1)-s+t=4 ...(2)3t=3 ...(3...

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Q: 4. Determine whether the scrics is absolutely convergent, conditionally convergent, or divergent. k ...

A: Here we have, ∑k=1∞-1kkk3+2=∑k=1∞-1kak 

Q: Find the indicated derivative for each of the following functions and evaluate as indicated: A. f(x)...

A: Take the derivative using power rule of derivative then substitute the value of x and simplify. 

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Q: |. Find the Taylor series of In(x) about a for a > 0. Your answer should be in sigma notation. You m...

A: Taylor's Series of f(x) about 'a' :     f(x) ≈ f(a) +f'(a)(x-a)+f''(a)2!(x-a)2 +f'''(a)3!(x-a)3+... ...

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A: Given query is to find the rate of change of GDP.

Q: Use the given conditions to find the exact values of sin(2u), cos(2u), and tan(2u) using the double-...

A: tanu = 5/13 other side of triangle = 194 cosu = 13/194 sinu = 5/194 sin2u = 2*cosu*sinu sin2u = 2*13...

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A: Topic:- differential equations

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Q: Find the percentage rate of change of f(x) at the indicated value of x. F(x)=8250-5x^2;x=25. The per...

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Q: 1. Determine if the series * (H) cos en? n=1 is absolutely convergent, conditionally convergent, or ...

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

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Q: Find the price that will maximize profit for the demand and cost functions, where p is the price, x ...

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Q: In(1+2e") d) an n

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

Q: Find f. f ''(x) = −2 + 12x − 12x2,    f(0) = 9,    f '(0) = 18   f(x) =

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Q: 10. An open box is to be made by cutting a square from each corner of a 12-inch-by-12-inch piece of ...

A: Suppose the side of the square to be cut off from each corner is "x" inch. Therefore, the length of ...

Q: Let A(x) = | f(t)dt where f is the function given by the graph below. 0. -1 -2 -3- -4+ i. A(2) = ii....

A: Given query is to find the value of A(2) and A'(2).

Q: Find the absolute maximum and absolute minimum of the function on the given interval. f(x) = x3 – 3x...

A: Given problem:- Find the absolute maximum and absolute minimum of the function on the given interval...

Q: Write an equation to represent the following statem j divided by 9 is 5 Solve for j. Stuck? Review

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Q: Prove that the length of common chord of the two circles x + y² + 22x + c = (2² -c)(µ² +c) 2² + µ? O...

A: We will prove that the length of the common chord is the given term as following.

Q: Find the following limits if they exist. 1. 2 3. 8x lim x+* 5x – 7 4x +1 lim x-* x-7 2. x+2x+x+27 li...

A: To evaluate the given limits.

Q: A conical tank of water, 10 ft high with radius of 6 ft, is leaking at the bottom at the rate of 10 ...

A: Given:-for conical tank height,  h0=10 ftradius,  r0=6 ftwater is leaking at the rate of 10 cubic fe...

Q: For each differential equation, indicate the order (as a number) and whether the equation is linear ...

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Q: (cos0+ tan@) do (sece + tan@sec2o) de cos?0 A) True B) False

A: In order to get the integral in terms of  secθ we need to separate the fraction and then solve it ac...

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A: The given series is: ∑n=1∞7nnk Let, an=7nnk;n≥1

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Q: (1+ cot x) dx Evaluate: sin?x/9- cot?x cotx A - sin - 3 9- corx +C B) None

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Q: Question 8 Given the following general terms an, determine whether the correspondi 8, sequence (an)n...

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Q: Question 1 [x sec(em) tan(en) dx= / x sec x² tan x² dx A True B) False

A: topic - indefinite integral

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Q: 4 1 -dx using the midpoint rule with three subdivisions to four decimal places. In(x) Approximate Th...

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Q: dx Evaluate: x2+ 8x + 20 A In (x2+ 8x+20) B) None sin -1 +C (D tan +C X+4 E tan +C F -sin 2 +C 2 2.

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Q: Find the number of units x that produces a maximum revenue R in the given equation. R = 54x2/3 − 4x ...

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Q: d (a) dx 2 1 + x

A: Topic:- derivatives

Q: Consider the following equations. F(x) = Vx + 5 g(x) = x + 5 %3D Sketch the region bounded by the gr...

A: Graph of the curves÷

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Q: 3. For what value of x will the slope of the tangent to f(x) = 3*e* +5x +17 be equal to 5?

A: We can solve the given question as follows:

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A: Given : Fuel consumption = 700/x miles per gallon Speed = x miles per hour Hourly cost = $ 2.80/gal ...

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