For the function f(x) = 2x³ find the derivative of the inverse function f-¹ at the point x = 345. (ƒ−¹)'(345) =

Q: nitial investment amount P, an annual interest rate r, and a time t are given. Find the future value…

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Q: 7. A = [1 2 3], B = 3 4 5

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Q: 8 3 Evaluate S -dx. 10 9x 4

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Q: The figure shows a telephone wire hanging between two poles at x = -20 and x = 20. The wire hangs in…

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Q: Y7 = Ys Y⁹ = (You can enter your answers in any order.)

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Q: es of x in the interval [0,2ë] at which the graph 0 as a horizontal tangent.

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Q: Between 2006 and 2016, the number of applications for patents, N, grew by about 4.1% per year. That…

A: Between 2006 and 2016, the number of applications for patents, N, grew by about 4.1% per year. That…

Q: Solve e³t = 2000 for t. t≈ (Round to three decimal places as needed.)

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Q: Find the derivative of the function. Simplify if possible. y = arccos (e7x) 11

A: Given,

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Q: In 2004, an art collector paid $155,328,000 for a particular painting. The same painting sold for…

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A: Given interval,The curve,The line,

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A: The given function is,The given point is,The lower limit of x is  and the upper limit is

Q: Compute the following values for the given function. f(x, y) = 8x² + 5xy - 9x + 4. f(1, 2) = f(2, 1)…

A: Given,

Q: 4. §11.5. Q10. Use appropriate form of the chain rule to find dw/dt. w = √√√1 + x2yz¹x; x = ln t, y…

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Q: Find the GCF of the expressions. 12x¹4yz6, 24x6z8, and 4xyz7

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Q: cln 2 0 ex √e²x - 1 dx

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Q: Student's Homework Problem Evaluate the integral. J cos (ln(3x)) dx Student's Solution. 1 cos…

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Q: 7. Find the first quadrant point on the curve y=x²-3x² at which the tangent to the curve is parallel…

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Q: Find explicit formulas for sequences of the form a1, a2, a3, . . . with the initial terms given…

A: Given that the sequenceAnd  To find the nth terms

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Q: 2. a. b. The distance travelled by an object is given by the equation: d(t) = 20t 1+t2 t20. What is…

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Q: MY NOTES Perform the indicated operation and simplify if possible by combining like terms. Write the…

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Q: Differentiate. f(x) = In f'(x) = x-10 X

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Q: d) How long after 1950 will the value of the painting be $6 billion? year(s) (Do not round until the…

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Q: Find the eigenvalues of the matrix -40 -18 2 -8 -18 -14 -8 -18 -14, Enter the eigenvalues as a list…

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Q: If u = i - 3j +2k, v= i +j, w = 2i +2j - 4k, what is magnitude of -2u plus 2 times magnitude of v ?

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Q: Find the center, foci, vertices, asymptotes, and radius, as appropriate, of the 2 conic section x² -…

A: To find the center, foci, vertices, asymptotes, and radius, as appropriate, of the following conic…

Q: 3a If f(x) is continuous and ſ³ª f(x)dx = 496.8, what is a [" Round your answer to two decimal…

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Q: Set up a double integral in polar coordinates to find the volume of the solid bounded above by…

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Q: The median home value in Ohio and Wyoming (adjusted for inflation) are shown below. Ohio Wyoming…

A: The median home value in Ohio and Wyoming YearOhioWyoming 19505030041300200010370096600Let x be the…

Q: Use a calculator to evaluate each of the following. Give the answers correct to four decimal places.…

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Q: 9. Assume that the oil spilled from a ruptured tanker spreads in a circular pattern (A = πr²) whose…

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Q: A freshly brewed cup of coffee has temperature 95°C in a 20°C room. When its temperature is 68°C, it…

A: A freshly brewed cup of coffee has temperature 95°C in a 20°C room.When its temperature is 68°C, it…

Q: Let L be the line segment between (1, 2) and (4, -4). Find the area of the surface generated when L…

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Q: In 2004, an art collector paid $168,274,000 for a particular painting. The same painting sold for…

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Q: For the demand function q = D(p) = 500 (p+1) ³' 3 find the following. a) The elasticity b) The…

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Q: Due Math 31 Chapter 9 Review Assignment 1. Verify y(x)=c, sin x + c₂ cos x-(cos x)In(secx + tan x)…

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Q: Find f. f'(t) = 8 cos t + sec²t, -π/2 < t < π/2, f(π/3) = 2

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Q: Differentiate. d y = log 4 (xº + x) - log4 (x8 + x) = □ dx

A: To differentiate the following function.

Q: Solve the initial value problem [x²y" + 9xy' +12y = 120x¹ (x>0) [y(1) = 2, y' (1) = 28 given that {…

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Q: If then the domain D of the function f is given by the set Select one: ○ {(x,y)|y² > x, ○ {(x,y) y²…

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Q: A particle is moving with the given data. Find the position of the particle. a(t) t²8t +4, s(0)= 0,…

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Q: Find dy dy dx by implicit differentiation. tan(x - y) = = y 7+x²

A: Here to find implicit differentiation , we must differentiate both sides of the simplified form of…

Q: Calculate the determinant of A det (A) = Number -5 3 -1 5 00-3 0 3 -5-2-4 -2 -1 4 5

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Q: Let F(x) = f(xf (x²)). Suppose that ƒ(4) = 6, ƒ'(4) = 1, and ƒ'(12) = 5. Find F'(2).

A: Given, .Given,  f(4)=6, f'(4)=1 and f'(12)=5.