The marginal profit for selling à Bronco souvenir hats is modeled by P'(x) = 7 -0.02x dollars. Suppose your fixed costs are $ 490. First find the number of hats you would like to sell in order to maximize your profit: (This requires remembering some concepts about optimization from Math 30.) Now compute the profit for selling that many units, according to the model.

Q: 20. शर dx = ± x2 + 3 + e±x,y = – 1 when x = 0

A: We have to solve the given differential equation.

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A: Topic = Circle

Q: 5. Prove that x + y ≤ x − y + x + y for all x, y € R. Hint: Use the triangle inequality.

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A: According to Ohm's lawI=VR

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A: Given Graph

Q: 3. Find the curvature of the following: Give exact values only a) r(t) = (2t, t³,t²) at t = 1

A: The formulas of curvature are as follows

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Q: Find the limit of 9x+2 lim x-∞ 14x-√√81x²-2 = lim x-∞ 14x 9x + 2 81x² - 2

A:

Q: Solve the following differential equation. 2y""+11y'''+18y"+4y'-8y=0

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Q: Question Find the average rate of change of the function f(x) = −x² + 12x - 32 on the interval [3,…

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

A: ∫ t lnt+4dt

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Q: IF The Following vectors are be equal A = 21-î+ (27_1) E B = 2X² +47 +3K Find The Values oF (X.)

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Q: Let ƒ(x) = tan(x)and g(x) = sec(x). Find [ƒ(x) + g(x)]. da d dx −[ƒ(x) + g(x)] = d dx d dx [ƒ(x) +…

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Q: 119. [T] y = 2√x+1 at (4, 5)

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Q: If y=In (2-3x²) + 4e - 3x +9x, then f'(x) = 6x 2-3x² - 12 3.x e +9

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Q: Question Find the average rate of change of the function f(x) = -3x² - 4x + 2 between x = -1 and x =…

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Q: Q3/ Solve the following second-order differential equations: three) 1- y"-y-2y = e³x

A: Note:- These are multiple questions and accroding to company guideline we can do maximum 1 question…

Q: Evaluate (3x² - 7x) cos(2x) dx

A: To integrate the given integrand.

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A: Given query is to find the derivative of the function.

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Q: Find the equation of the line tangent to the graph of f(x) = √√√x-4 at x = 8. Provide your answer…

A: Given Function:- fx=x-4

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A: Please see the below picture for detailed solution.

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Q: Suppose that f(x) = 3x² - 4x + 4 and Find the following: 1. (fog) (6) = Number 2. (fog)(0) = Number…

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Q: Find the slope of the normal line to the curve f(x) = √x+1 at (3,2). B-1/4 1/4 ***

A: Topic- slope of the normal line for function y=f(x) ,slope of the normal line to f(x) at x=c is…

Q: choose the correct answer Solve for the mode of the given FDT. a. 30.73 b. 31.35 c. 46.12 d. 42.92

A:

Q: Let f(x) = x and g(x) = log₁ x. Find [f(x) • g(x) dx (A B d dx -[f(x) • g(x)] d dx =[f(x) • g(x)] =…

A: Given; f(x)=x and g(x)=log5x.

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Q: 9. Consider r(t) = (2 cos (t), 2 sin (t), -t). Find the unit tangent, unit normal vectors, T (t), Ñ…

A: We want to find unit tangent vector, unit normal vector and the curvature.

Q: Find the points on the graph of f(x) = 36x - 3x³ where the tangent line is horizontal. (Use symbolic…

A: We are given an equation of a graph  f(x) = 36x - 3x3 We have to find the points on the given graph…

Q: a. J(a) Problem 9: Draw the derivative of the function -10 11 F3 -5 10 10 0 -5 -10 V F5 5 F6 10…

A: We have to draw the graph of f(x) derivative by see it's original graph f(x).

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Q: Assuming f and g are differentiable functions, determine f'(2) = -7, g(2) = 8, and g' (2) = 4. (A)…

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Q: A math tutor makes $15.00 an hour. An additional $7.50 is added if she works past her normal 40 hour…

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