Let f be the function defined by f (x) = 20-72-3. The graph of f', the derivative of f, is shown above. On which of the following intervals is the graph of f concave up?

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A: Given function is we have to evaluate the following  and simplify them

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Q: A baseball team plays in he stadium that holds 68000 spectators. With the ticket price at $9 the…

A: We have given that stadium holds 68000 spectators.When the ticket price at $9 the average attendance…

Q: 4. Find the volume of the solid obtained by rotating the region bounded by the graphs of: a. y=x²-9,…

A: y=16-x,y=3x+12,x=-1

Q: 16 / FLX Evaluate 1+√3 2 f(x, y, z) ds. f(x, y) = 3y - X S: r(u, v) = cos(u)i + sin(u)j + vk 0 ≤us π…

A: We have to evaluate the integral.

Q: Let F(x) = f(g(x)). Find F¹ (2) using the following information f(-1) = -3, f'(-1) = 2, g(-1) = -7,…

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Q: The temperature at point (x, y, z) on the sphere x² + y² + z² = 4 is given by T(x, y, z) = 100xyz².…

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Q: Let f be the function given by f (x) = 2x³ + x² - 3. What is the value of f' (2) ? A B 56 28 25

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Q: Given: (x is number of items) Demand function: d(x) = 100-0.5x Supply function: s(x) = 0.3x Find the…

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Q: Select EACH limit that is a term used to evaluate the improper integral below. [ -5 0 dx (x + 4)²·…

A: To find: select each limit that is a term used to evaluate the improper integral

Q: ƒ(x) = x² + 8x + 16 2x + 8 Answer Attempt 1 out of 2 There is one x-intercept

A: Given that the function

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Q: Given the graph of y = f(x), on the same grid sketch the graph of y=-2f (3x) 5 -5-

A: Compress the graph of f(x) ( in red colour ) by the factor of 3 to get the graph of f(3x) as shown…

Q: Let f be the function given by f (x) =−x³ + 3x² + 24x. What is the absolute maximum value of f on…

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Q: Which step is part of finding the derivative of the function below? The correct choice may not be in…

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Q: R(x) = - 51x² + 23x 2x + 2 Suppose a company's revenue function (in dollars) is where is the number…

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Q: A rectangle has its base on the x-axis and its upper two vertices on the parabola y = 8-x², as shown…

A: The given parabola is .The aim is to find the largest area the rectangle.

Q: - Find a polynomial function of degree 4 with the zeros – 1 (multiplicity 2) and 1 (multiplicity 2),…

A: A polynomial has zeros of multiplicity  and  of multiplicity  and the graph passes through the…

Q: 21. f(x) = 2 cos³x + 3 cos x, 0≤x≤π.

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Q: Suppose your demand function is given by D(q) = − q² − 2q + 542, where q is thousands of units sold…

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Q: Consider the following function. 7x-5 if f(x)=x²+3 X X<3 if 3<x<10 7 if Select all that apply. A. x²…

A: Consider the following function.To find the "piece(s)" that should be used to find the y-intercept.

Q: 3. Given the graph of the function y = f(x) below, sketch the graph of 2y = f(3x-6)- -2 on the grid…

A: y=f(x)2y=f(3x-6)-2

Q: The function f is given by f(x) = (2a³ + bx)g (a), where b is a constant and g is a differentiable…

A: First we differentiate f(x) w.r.t x

Q: 26) Evaluate the limit, if it exists. If it does not exist enter DNE. lim (√9x²+x-3 x - 3x) x →∞0

A: We solve the given problem using the concept of limits.

Q: Consider the two functions y₁=x²-3 and y2 = b on the interval [-a, a], if a = 11.3. What value does…

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Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

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Q: d (cot x) = da A) B C D - tan x - sec²x tan x -csc²x

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Q: The complement of an event E denoted E, is the event consisting of all outcomes that are not in E.…

A: According to probability theory, an event is a collection of potential events or outcomes also, we…

Q: Assume a function is F(x)=√x, and assume f'(x) = 2x Find the equation for the tangent line at x = 9…

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Q: 1-9-2- 3-2 limf is x→7 from 9 10 11 *(***)

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Q: Consider the parabola p(x): = O a. [0.7062,-0.7062] O b. [14.6916, 12.7084] O c. [0.28540, -1.69777]…

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Q: veevepreadya dzdydx. + y² -√16-2². 1

A: I=∫−40∫−16−x20∫x2+y241x2+y2dzdydxx2+y2≤z≤4−16−x2≤y≤0−4≤x≤0

Q: 28) Evaluate the limit, if it exists. If it does not exist enter DNE. sin (x) lim x-0 x

A: (28)Evaluate the limit of the numerator and the limit of the denominator.

Q: Evaluate the indefinite integral: ST 7xe² dx = = + C.

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Q: True or False? The function f(x,y)=x^2+y^2 has a global maximum on the disc x^2+y^2 is less than or…

A: The objective of the question is to determine whether the function f(x,y)=x^2+y^2 has a global…

Q: A rock moves along the parabola x=y^2+2 under the forcefield F=(x2, y^ex). Find the work moving the…

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Q: For every positive number a the functions sin x and cos x are orthogonal on the interval [−a, a].…

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Q: An open-top rectangular box is being constructed to hold a volume of 350 in³. The base of the box is…

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Q: dy Use implicit differentiation to determine given the equation xy + x¹ = e. dx dy dx =

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Q: Find a so that the point (-1,1) is on the graph of f(x) = ax² + 4. a= (Simplify your answer.) ***

A: The given function is

Q: -3 If A = [¯ 1¹ ²], B = [~ 3³ 2], and C = =[2], find 4 21 A²+ BC.

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Q: 19. x - y² +3=0, x-2y = 0.

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Q: Let f be the function defined by f (x) = x³ = ³²x² A B (0) (D) -10 72 3 6. What is the absolute…

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Q: Solve the exponential equation. Express irrational solutions in exact form. 41-9x = 3X What is the…

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Q: 2 3 If f(x) = 7+ + x x2¹ Find f'(5). find f'(x).

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Q: For the function f(x) = 5x² + 2x, evaluate and simplify. f(x+h)- f(x) h

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Q: What is lim h→0 A. 3x² (x + h)³ = x³ ? h B. 6xh C. h² D. O

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Q: Find S 2x 8x +4 -dz + C

A: The given integral is

Q: We showed in class that Σ 1/n2 converges to some value A that is at most 2. Show that A is between…

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Q: Using Ratio Test find whether the series is convergent or divergent: √√3 n=1 n 4" n!

A: By using Ratio Test to find whether the following series is convergent or divergent.