The following table records some values of the functions f and g. Compute the exact value of: (f o f ) (2) and (g o f ) (1)

Q: Packaging Costs A rectangular box is to have a square base and a volume of 60 ft3. The material for…

A: A rectangular box is to have a square base and a volume of 60 ft³. The material for the base costs…

Q: Let f(x) = 39 - The slope of the tangent line to the graph of f (x) at the point (-6, 3) is The…

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Q: Find the slope of the curve to: 4 where x=2 - 2x³ 3x² + 5x + 9 at the point

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Q: Evaluate S 1 1+x² ㅠ de exactly and show that the result is 4 integral using the trapezoidal rule…

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Q: For what values of x does the graph of f have a horizontal tangent? (Use n as your integer…

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Q: The function s(t) describes the motion of a particle along a line. s(t) = 16tt² (a) Find the…

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Q: Let f(x)=  x+2/1-x •Show that the function is one to one  • Find d f^−1(x)/dx at x=1/2 without…

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Q: Find the indefinite integral. (Note: Solve by the simplest method-not all require integration by…

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Q: particle initially located at the origin has an acceleration of a = 4.00ĵ m/s² and an initial…

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Q: x³ - 34x + 12 ƒ(x) = x³

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Q: 43. y = (secx + tanx) 5

A: To calculate the derivative of the following function.

Q: Find the higher order derivative. f'(x) = 4x² + 4x - 16 f(5) (x) = X

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Q: Find the cross product of the unit vectors. k × i

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Q: A gaming app has been gaining approximately 8,000 new downloads every month. Which of these types of…

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Q: The derivative of a function f(x) at x = a is given by 20+ x - 4 X + 4 lim X→-4 Find f(x) and a.…

A: The derivative of a function  at  is given by .To find .

Q: Question 1 Use the four-step definition of the derivative to find f'(x) if ƒ (x) = −2x + f (x + h) =…

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Q: Find Proof for Derivative Formula f'Q) = lim f(x tb) - f(x) h

A: The objective of the question is to describe the definition of derivative.

Q: Sketch the graph of. f and use your sketch to find the absolute and local maximum and minimum values…

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Q: Find the differential dy of the given function. y = √√√3-x² dy =

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Q: Determine the values of a and b so that the following function will be differentiable at x = 0.…

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Q: Show that the equation x4 + 5x³ + 5x - 1 = 0 has at least two real solutions in the interval [-6,…

A: Given that the equation:-   x4 +5x3 +5x - 1 =0And we show that this equation has at least two real…

Q: The owner of a luxury motor yacht that sails among the 4,000 Greek islands charges $590 per person…

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Q: 2. dy dx + X = 2 x² (y² +3) y (+²3² +1) 1= 6 - 0

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Q: When you learned operations such as multiplication you only learned results such as 5x3=15. If you…

A: As per our guidelines we are allowed to answer only one question. Kindly repost the other question…

Q: 6. Find the equation of the tangent to the curve_y=x²-√√2x+1 at the point (4, 13).

A: To find the equation of the tangent and normal to the curve at the point .

Q: Find the area of the surface generated when the given curve is revolved about the given axis.…

A: To find the area of the surface generated when the given curve is revolved about the x-axis.

Q: The California Almond Growers have at most 3200 boxes of almonds to be shipped from their plant in…

A: Let x be the number of boxes to be shipped to Des MoinesLet y be the number of boxes to be shipped…

Q: Which graphs define y as a function of x? Select all that apply. Press the hotspot for each graph…

A: Functions is a relation “f” in which each element of set “A” is mapped with only one element…

Q: Let R be the region bounded by the following curves. Use the shell method to find the volume of the…

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Q: A stone dropped into a still pond sends out a circular ripple whose radius increases at a constant…

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Q: Given the function f(x) below, what is the correct result for f(x+h)? f(x)=√√4x²-7 A f(x+h)=√4x²-7+h…

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Q: Find the general solution of the differential equation. (Use C for the constant of integration.) 24…

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Q: 106. Projectile A model rocket will be launched from a hill 80 feet above sea level. The launch site…

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Q: -2 10 8 6 4 2 8 10 X Find Q'(1). If the derivative does not exist, explain why. Again: You need find…

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Q: Let (x0,y0) = (1,6) and (x1,y1) = (1.4, 6.5). Use the following graph of the function f to find the…

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Q: Problem 2 Find a general solution of the following differential equations (a) x- dx dy - 5x³y - x²y…

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Q: Solve the exponential equation. Express irrational solutions in exact form. =9¹-x C What is the…

A: The exponential equation is

Q: Find the arc length of y = 2x +1 on 0 < x < 4.

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Q: Refer to functions m and n. Find the function (mon) (x) and write the domain in interval notation.…

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Q: x 3 - x² 4) lim x→1 X-1

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Q: A radio tower stands between two points A and B on the ground. The angle of elevation of the top of…

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Q: Solve the initial value problem y" - 2y' + 5y = 0 y(0) = 4 y'(0) = -2

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Q: A spacecraft has acceleration r"(t) = , initial velocity r'(0) = and initial poition r(0) = (0, 0,…

A: GIven that a spacecraft has acceleration with initial velocity r'(0) = &lt;2, 5, 1&gt; and initial…

Q: find initial value for the following transform X (+) = t" - 6+² +9t -8 4 t (t-2) (t ³+2t²-t-2) 3

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Q: _y=tane*

A: 35.The given function .The objective is to find the derivative of the function.

Q: Let f(x) = x² + 2x+1 a) Find the equation of the secant line between the points P and Q on the graph…

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Q: Find the Row Reduced Echelon Form (RREF).

A: The reduced row- eachelon form of the augmented matrix has 1s on the diagonal and zeros off…

Q: Consider the following. See Examples 1 and 2. f(x) = x2 − 6x − 1 Complete the table. (Round your…

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Q: Suppose f(x), g(x), and h(x) are continuous functions such that g(-1) = 4, h(-1)=3 and lim…

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