If the daily cost per unit of producing a product by the Ace Company is 15 + 0.5x dollars, and if the price on the competitive market is $90, what is the maximum daily profit the Ace Company can expect on this product? $ 2815 X

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A: The given differential equation is

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A: The Fundamental Theorem of Calculus :-If f(x) is a real valued function that is continuous o the…

Q: Let f (x) be the cc rious function graphed below and let F (x) = f%₂f (1) dr. (-4,-2) 4 2 (-1,-1) 0…

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Q: 4) Calculate lim (√t-3, V-2, tan t-4 t-4 (-)). HINT: On the second component, you can factor t - 4…

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A: Given: The propift function is .To Find: To find the marginal profit and to describe its meaning.

Q: Let Lose (b) f(x)dx = 6 Evaluate the following integrals. f(x)dx = = -5 L(-4f(x) - 2)dr = Г f(x)dx =…

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Q: 3 w (z) = cos 22/20

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: For the drug metabolism function f(x) = -x(x+2)(x-3), find the average rate of change of f(x) on the…

A: The drug metabolism function, f(x)=−x(x+2)(x−3) on the interval from x=2 to x=3

Q: Find dy du du dx dy dx y = 6u² + 3 and _u = x² + 3 I and when y and u are defined as follows.

A: given

Q: (a) (* 1 (²7) dr f(x) dx = 8. Calculate the following:

A: Calculate the value of .

Q: Let r(t) =(√t+5) i+ - (²-0) ₁- t Then lim r(t) = t-1 0i+ j+ k. j+ sin(2πt) k.

A: r(t)={√(t+5)i +[(t2-0)/(t-0)]j + sin(2πt)k}

Q: Answer true or false to the statement, explain then support your answer by graphing.

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Q: Match the sequence with its graph. 11 1" Select one:

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Q: Consider the following function. f(x, y, z)=√√x² + y² + z² Find fx(x, y, z), f(x, y, z), and f₂(x,…

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Q: A cable that weighs 6 lb/ft is used to lift 750 lb of coal up a mine shaft 650 ft deep. Find the…

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Q: 1+ 1 + 1 V 3 + 1 43 Select one: Qa converges O b. It is inconclusive O c. diverges +...

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Q: 4. Given to the right is the graph of the derivative of a function,f x ( ). Iff (0) 9 , what is…

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Q: A rocket accelerates by burning its onboard fuel, so its mass decreases with time. Suppose the…

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Q: 3x + 2 S =dx x² + x 2

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Q: e) Using the coordinates from parts b)- d), graph the function on its mathematical domain. Check…

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Q: Evaluate the limit: lim 2-46 x3 - 216 6 T 11

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Q: Q2: Find the inverse Laplace Transform of each of the following: 35+2 c) 2+28+10

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Q: tanx 2 √2² sec xdx

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Q: Evaluate the piecewise defined function at the indicated values. f(-8)= f(-3) = f(2)= f(3) = f(6) =…

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Q: Suppose that x and y are related by the equation x = So Find (Note: should be proportinal to y) d²y…

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Q: -8 Consider this function. 8 Here is one of the cards from earlier. As it turns out, this was one of…

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Q: For the following radical function, find the coordinates of the P and t intercept. P(t)=3√√√3t+4-12…

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Q: Use Newton's method to approximate the positive solution of the equation e²x - x = 4 sa correct to…

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Q: Use the Intermediate Value Theorem (1VT) to show that the function. f(x) = lex² - 11x-7 has a zero…

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Q: Sin x cos x ax

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Q: Use the fact that the derivative of the function g(x)=√x is g'(x) = - 2√x graph of g(x) at the point…

A: The given function is  and its derivative is

Q: 2) (6 pts) Find the tangent line through the function g(x) = 6 -√√x when x = 4.

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Q: dt √√3 3+t²

A: The given integral is 1/(3+t2), limit from √3 to 3.