f(x) = 3x5 f'(x) = 2 이집

Q: The marginal revenue of the xth box of flash cards sold is  200e−0.003x dollars per box.  Find the…

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Q: Question The graph of f(x) is given below. Select each true statement about the continuity of f (x)…

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Q: 1. Given the following graph and A(x)=f(t) dt, f , find: -2 -1 4 -3- --2- 1- 0 -1 --2- -3 1 2 3 5 6…

A: Given: To Find: To find .

Q: What is the lim f(x) for the following graph? X-0 5 4 V

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Q: and find If f and g are continuous functions with [3f(x)dx = 36 [*5g(x)dx = -21, [*{3g(x) – 4ƒ (x) —…

A: f and g are continuous function

Q: Given the three functions below, which expression equals (rocoq)(x)? c(x) = 9x + 4 Answer 5 ○ (9 ( ²…

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Q: Suppose that a function f is defined by f(x) = f*" (e-t³+3t)dt. Determine the intervals on which f…

A: f(x)=∫0x(e−t3+3t)dtLeibnitz Integral Ruleddx∫g(x)h(x)f(t)dt=f(h(x))h′(x)−f(g(x))g′(x)

Q: f(x) -10-9 6 4 2 -1 9 5 2 1 O -1 -3 0 12 m s 9 7 00 10

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Q: 2) Calculate: a) lim- √x-3-1 x²-16

A: We rationalize the numerator and use the formula (a+b)(a–b) = a2–b2.

Q: Calculate and interpret ac ax ac ду C(x, y) = 18,000 +90x+ 20y. ac ac ax ду and = The marginal cost…

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Q: If the marginal revenue (in dollars per unit) for a month is given by MR = -0.3x + 400, what is the…

A: If the marginal revenue (in dollars per unit) for a month is given by To find the total revenue from…

Q: Find the critical points of the function f(x,y) = 8 + 76xy + 38x^2 + 240y + y^4/4

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Q: Let f be the function given by f(x) = In x² + cos x. What is the value of f '(2)? O-0.752 -0.091 O…

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Q: P(x)= x³ + 12x²-21x + 100, x ≥ 4 is an approximation to the total profit (in thousands of dollars)…

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Q: A calculator may not be used for the following questions. For problems 3 and 4, region Q is bounded…

A: The region bounded by curve

Q: Use the Root Test to determine whether the series converges absolutely or diverges. Ma 8 k=1 1 In…

A: The Root Testlimn→∞|an|n=ρIf ρ<1 then ∑n=1∞an is absolutely convergentIf ρ>1 or…

Q: Given what is g'en? g(x)=log²(f³(x)+2). f(1)=2 & f'(n=5 a) 3 log2 B) 12.log10 2) 12 logio

A: The given function is

Q: The function y = f(x) is graphed below. Plot a line segment connecting the points on f wher -6 and x…

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Q: Determine q'(x) when q(x) = 8(4¹) X4 Sorry, that's incorrect. Try again? q'(x) = |

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Q: Find the radius of convergence, R, of the series. Σ(-1)^ (x-4) 6n + 1 n = 0 R = 00 Find the…

A: The given series is (-1)n(x-4)n/(6n+1), n from 0 to infinity.

Q: Sex. (x+y)ds where C is the straight-line segment x = 3t, y = (3-3t), z = 0 from C (0,3,0) to…

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Q: Find the centroid of the thin plate bounded by the graphs of g(x)=x² and f(x) = -x + 6. Use the…

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Q: Question Suppose K(x) = f(g(h(x))). Given the table of values below, determine k'(0). x f(x) g(x)…

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Q: The region bounded by y=x^2−3x+2 and y=0 is rotated about the y-axis. Find the volume of the…

A: Region is bounded by y=x2−3x+2 and y=0Rotating the region about…

Q: 3. Is there a relation between the domain of a function and its interval of convergence?

A: From the given statement

Q: you have been asked to design a one-liter oil can shaped like a right circular cylinder. what…

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Q: The graph of function f (x) is shown below. At which value of x is the slope of the tangent line to…

A: A graph of the function is given.The aim is to find the value of  such that the slope of the tangent…

Q: Sketch the described region of integration. 0sys1, sin ysxs 2 Choose the correct sketch of the…

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Q: Consider the following trajectory of a moving object. Find the tangential a normal components of the…

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Q: the integral / xe Evaluate the integral xe4x dx

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Q: blem #3: The inverse Laplace transform f(t) = -¹ {F(s)} of the function e-25(6s - 8) F(s) = S² +49…

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Q: Use the alternative curvature formula k = following parameterized curve. r(t) = (4 + 2t²,2t,0) K=…

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Q: Evaluate the integral below using any appropriate algebraic method or trigonometric identity. π/2 -…

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Q: Solve the inequality: |2x - 8| < 6.

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Q: Question Given the graph of f (x) below, what is the open interval(s) over which f'(x) is positive?…

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Q: 9. In the following exercise: i. Identify the function's local extreme values in the given domain,…

A: Solution is following in explanation step.

Q: valued Func r(t) = - + 3 + 5tk O -2 -2 y 5 2 2 Find its length over the given interval. √32 [0, 1]…

A: r(t)=-ti+3tj+5tk ,[0,1]

Q: b. y sin x at x = ЗП 4

A: To write the equation of the tangent line.

Q: Of the following, which is not a solution to the differential equation y" — 9y=0? A B C D y = 0 y =…

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Q: Use a convergence test of your choice to determine whether the following series converges or…

A: Th3 given series is .

Q: - Eliminate the parameter to find the Cartesian equation for the curve represented by the parametric…

A: Given that the parametric curve

Q: 12) Consider the following. (If an answer does not exist, enter DNE.) f(x)=2x³-9x² - 24x a) Find the…

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Q: Use the Root Test to determine whether the series converges absolutely or diverges. 1 3 1 6 2 + 1 9…

A: The Root Testlimn→∞|an|n=ρIf ρ&lt;1 then ∑n=1∞an is absolutely convergentIf ρ&gt;1 or…

Q: 18. Suppose that the dollar cost of producing x washing machines is c(x) = 2000 + 100x 0.1x². a.…

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Q: 15) Find S X √9+8x²-x² dx

A: We need to determine indefinite integral.

Q: Find an equation for the hyperbola described. Graph the equation. Center at (-6,-8); focus at…

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Q: A rectangle is to be inscribed in the ellipse with the following equation x² y² + 81 144 Determine…

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Q: The 4th degree Taylor polynomial for sin(x) centered at a = is given by the following. sin(x) = 1 +…

A: Rewrite asx=39

Q: lim X18 x²/3 + 2x x5/3 - x

A: L=limx→∞x2/3+2xx5/3−x

Q: Given the function g(x) = log² (f³(x conclude that © (A) g'(1) = 3 log 2 C (B) g'(1) = 10 © (C)…

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