Compute the derivative. Use logarithmic differentiation where appropriate. d dx (2x) 4x d dx (2x) 4x=0

Q: Express the repeating decimal 1.16 as a fraction. a. 16 100 Ob., 16 1 99 01 e. 15 99 17 99 16 100

A: To represent the recurring decimal as a fraction.

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Q: Express the function in the form fog. G(x)= x3 x³+2 O a. f(x)= x³, g(x) = O c. f(x) = = - X ○b. f(x)…

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Q: In 2004, an art collector paid $176,753,000 for a particular painting. The same painting sold for…

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Q: 75. ex √ex +1 - dx

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A: Here  f(x)=x3-1728x2-144 To determine  limx→12f(x)=limx→12x3-1728x2-144

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A: Given: Requirement of the question: a. ∫03f(x)dxb. ∫35f(x)dxc. ∫08f(x)dx

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A: given s(t)=t3+3t

Q: 33. Let g be the inverse of f(x) = x³ + 2x + 4. Calculate g(7) [without finding a formula for g(x)],…

A: Let g be the inverse of fx=x3+2x+4.

Q: 4. (a) Find the second derivative of the function f(x) = e-x². (b) Use the second derivative to find…

A: To find out the second derivative of the function, inflection points, and maxima and minima.

Q: Give an equivalent rectangular equation for r = 3sin theta

A: given  r=2sin thetar=3sinθfor rectangular coordinates we know ⇒x=rcosθ⇒y=rsinθ⇒x2+y2=r2

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A: The given integral is xe-x^2/2 limit from 0 to 1.

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A: The given power series is:∑n=0∞ n(x-2)n

Q: s(t) In(13/t+1) 4/t Minimum Level of Stabilization: 3.00625 Maximum Level of Stabilization: 3.128125

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Q: Suppose that a company introduces a new computer game in a city using television advertisements.…

A: Px=1001+51e-0.16x Put x=0 P0=1001+51e0=1001+51 P0=10052=2513 P0=1.9207 Rounding to nearest tenth…

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Q: 3. lim 4 x → ∞ 4 →∞ -X

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Q: Find the directional derivative of ƒ(x, y, z) = 4x² – 4y² – 2z² at the point P = (–−5, −1, –4) in t…

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Q: Find the derivative of the function at Po in the direction of A. f(x,y,z) = xy + yz + zx, Po (3, -3,…

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Q: dy Find the equation of the solution to = xy through the point (x, y) = (1, 2). dx Submit answer…

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Q: Revolve the region bounded by the graphs of y = -x² and y = -1 about the line y = -1. Set up the…

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Q: 11. Suppose water is flowing into a tank where the base of the tank is a octagon with side length x,…

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Q: Find the general solution of x2y" - xy' + y = x ln (x)

A: The given differential equation is:x2y''-xy'+y=x ln(x)

Q: What is the remainder when x2 + 15 x+9 is divided by x+5? O-41 O 49 O 42

A: x2+15x+9

Q: Find the complex zeros of the quadratic function. Graph the function. f(x) = 20x² +8x+1 X= (Simplify…

A: The function is given by fx = 20x2+8x+1 To determine: The complex zeroes of the function and the…

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Q: Use the Remainder Theorem and synthetic division to find f(-6) for f(x) = 2x³ +6x²-26 x+ 20 Use the…

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Q: 16) Find the values for x and y where the function f(x,y) has an extremum. Will that point be a…

A: The solution is shown in step-2

Q: If f(x) = x³-6x+4 is divided by x + 2, by the Remainder Theorem f(8) = -2. O True O False

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Q: Let y (a) 3e¹/2x Find y'. y' = (b) Find y". y" = 1 7e-x. (c) Is y a solution of 2y" + y - y = O Yes…

A: NOTE: Refresh your page if you can't see any equations. . the given solution is  take the…

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Q: [(5x+3y)dA where R is the parallelogram with vertices (0,0), (-2,-4), (-3,3), and (-5,-1). Use the…

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Q: You are designing a rectangular poster to contain 50 in.2 of printing with a 2-in. margin at the top…

A: Top and bottom margin:  2 inchSide margin:  1 inchArea of the paper after margin is: 50 in2

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A: We need to find rate of shadow moving.

Q: The function f, its first derivative, and second derivative are shown below. f(x) = 14ln(x) - 5x2…

A: fx=14lnx-5x2,f'x=14-10x2x,f''x=-14x2-10

Q: Evaluate sin (¹3) 4

A: sin(13π4)

Q: Assume that if lim f(x) = L, then lim cos (f(x)) = cos (L). Evaluate the following limits. x→a x→a…

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Q: In 2011 a country's federal receipts (money taken in) totaled $2.16 trillion. In 2013, total federal…

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Q: A culture of bacteria begins with 1000 individuals and grows by 15% every hour. Which of the…

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Q: In 2004, an art collector paid $176,753,000 for a particular painting. The same painting sold for…

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Q: f(x) = eet

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Q: Compute the double integral y dA over the domain D indicated as 0≤x≤ 4, x ≤ y ≤ 3x + 5. (Use…

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A: We know that the derivative of arctanx =1/(1+x^2)

Q: Find f(x) if f(0) = 1 and the tangent line at (x, f(x)) has slope 3x

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Q: Y 30° O a. 22sin (30°) X

A: We know that if the triangle one angle is 90 degree then the triangle is called Right angle

Q: Use Stokes' Theorem to evaluate fF.dr, where F = zzi+zyj + 3rzk and C is the boundary of the portion…

A: We have to evaluate the integral using Stokes theorem.