If 11+2 f(x) + x²(f(x))³ = 0 and f(3) = -1, find f'(3). f'(3) =

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A: f(x)=x7h(x)

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Q: the products revenue is R(x)=-2x^2+400x R(x) is dollars and x is units sold. the cost function is…

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Q: 0 A B (5, 1) C (2y+1,2-y)

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Q: Second Derivative Test 1. Find the first derivative of the function g(x) = 6a³ + 45x² + 108. g'(x) =…

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Q: Consider the function f(x)= lim X→∞0 a. Evaluate lim f(x) and lim f(x), and then identify the…

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Q: Let f(x) be the function f(7+h)-f(7) h a = and b= 1 x + 8 1 . Then the quotient can be simplified to…

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Q: If Σ ak = 9 and Σ bk = 36, find the following values. k=1 k=1 n bk 36' n Στakı Σ Στακι n n n - Σ…

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Q: 1. Find the equation of the tangent line to the graph of y=f(x) at x=-1, if fM)=3 and f(x)=ź

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: The length of a rectangle is increasing at a rate of 5 meters per minute and the width is increasing…

A: Given, rate of change of length, dLdt=5 meter/min. rate of change of width, dwdt=1 meter/min.…

Q: Find the Jacobian J of the transformation T(u, v, w) = (u (—v— 7), −7u (1 − w), 2uvw) = (x, y, z).…

A: The given transformation is:T(u, v, w)=u(-v-7), -7u(1-w), 2uvw=(x,y,z)

Q: 58. tanx cotx = secx csc x 2 cos x csc x

A: Verify the given identity  tanx- cotx = secx cosecx -2cosx cosecx

Q: Find the limit. lim x→∞ 5x + x³ + x5 1x² + x4

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Q: 9. An antiderivative of a function f(x) is a function F(x) such that F'(x) = f(x). Find any…

A: Note: sorry for the inconvenient  as per our guidelines  we should solve only 1 question. So please…

Q: In the implicit function exy² + x² = 1, y is a function of x. Find an explicit formula for y and…

A: Given function:- exy2+x2=1

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Q: Convert the angle - 3pi/20 from radians to degrees

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Q: Let z(x, y) = x²y where x = t³&y=t⁹. dz dx dy dt by first finding -& and using the chain rule. dt dt…

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Q: Solve the following first order linear differential equation. Show the outline of the solution and…

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Q: A radioactive substance with decay constantkis produced at a constant rate ofaunits of mass per unit…

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Q: (b) (2,2√3) (i) Find polar coordinates (r, 0) of the point, where r> 0 and 0 ≤ 0 < 2π. (r, 0) = (ii)…

A: Topic = Geometry

Q: Find f'(x) for the following function. Then find f'(4), f'(0), and f'(-3). -8 X f(x) =

A: We have given function  fx=-8x fx=-8x-1 f'x=ddx(fx) f'x=-8ddxx-1 f'x=-8-x-1-1=8x-2 f'x=8x2 Put x = 4…

Q: Find the area of the region that is bounded by the given curve and lies in the specified sector. 3 0…

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Q: 7. Find values of a and b that make the function below both continuous and differentiable at x =/…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Find all the critical points of the function and determine whether each critical point is a local…

A: given function: fx,y=x3-3x+3xy2.

Q: The following table shows the average life expectancies in several countries. Assume that all…

A: The following table shows the average life expectancy in several countries. All the premiums you…

Q: Differentiate y = arctan(cos x). y = 0

A: Given that        y = arctan(cos x)

Q: Evaluate the following sums. 9 (2) Σ 3 k=1 500 (b) Σ 9 k = 1 264 (c) Σ k = 2 20

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Q: Let f(x) = cos x - x. Prove that f(x) is continuous on the closed interval [0,2].

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Q: Find the derivative of the function y = y' = || 9x² - 8 x² - 7

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Q: d'y 1 2 dx 2 dx6 + 142- dx5 -471- d dx4

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Q: Find the average value of the following function on the given curve. f(x,y)=x+6y on the line segment…

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Q: Solve the following first order Bernoulli differential equation. Show the outline of the solution…

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Q: f(x) = 6e9x³-9x

A: Given    find first derivative

Q: Describe the motion of a particle with position (x, y) as t varies in the given interval. (For each…

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Q: Find two numbers whose sum is 33 and whose difference is 11. smaller number larger number

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Q: OBC is a right triangle with right angle C. this triangle base is on the positive x axis the vertex…

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Q: If t= -pi, evaluate (if possible) Part 1. sin (t) Part 2. cos(t) Part 3. tan(t)

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Q: Multiply using partial products. Fill in the missing numbers. X 81 96 7,200 480 6

A: To multiply 81×96 by using partial products. To fill in the mising numbers.

Q: Let z(x, y) = xe² where x = dx dy dz dt by first finding & and using the chain rule. dt dt Calculate…

A: Given query is to find indicated derivative.

Q: 2. Determine whether the series is absolutely convergent, conditionally convergent, or divergent. 8…

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Q: Use a definite integral to find the area under the curve between the given x-values. 3 X f(x) = from…

A: To find the area under the curve.

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Q: You are testing the claim that the proportion of men who own cats is smaller than the proportion of…

A: Total people= 100+60=160

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Q: Please use a double integral to derive a formula for the area of a trapezoid with parallel sides of…

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Q: Use the figure to evaluate the definite integrals S 2 1 y -1 -2. 1 2 y = g (t) 3 4 +t 5 g(t) dt and…

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Q: Problem 4: Find the centroid of the area shown below.

A: The given shape of lamina is as follows:

Q: Concept check: Evaluate the following integrals: INTLŐ x² dx 2.5 NIVE

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Q: (D² -3D +2)y = (1+e×)-¹

A: D2-3D+2y=1+e-x-1 In this question we have to find the complementary function and particular…