The function f(x) = −2x³ – 19.08x² +70.179x - 3.59 is increasing on the open interval ( ). It is decreasing on the open interval (-∞, and the open interval ( ∞ ). The function has a local maximum at

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A: The profit function:The marginal profit function can be calculated by the differentiation of the…

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Q: Calculate the determinant of A = [³] 55 det (A) = Number

A: Given, If , than

Q: Suppose that a forest fire starts at point P and spreads in every direction at a speed of 30…

A: Suppose that a forest fire starts at point P and spreads in every direction at a speed of 30…

Q: Suppose that Σ an = -3 and n=] ∞ A. Σ(-6an + −8bn) n=1 = B. (-6an +-8bn) n=2 = ∞ n=1 bn = -5 and a1…

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Q: If a snowball melts so that its surface area decreases at a rate of 2 cm2/min, find the rate (in…

A: Area (A) decreases at a rateDiameter, D=8 cm

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Q: could this be done by a human?

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Q: atives of point (x, y) = (2, 3).

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A: Velocity function of a particle  is the first derivative of the position function of that…

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A: We solve the given problem by using integration techniques.

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Q: The compound interest formula is given by A = P(1 + 7)". Round solutions to the nearest cent. If…

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Q: F'(x) = f(x) = 4x5-35x² + 40x Compare the graphs of f and f' and use them to explain why your answer…

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Q: Compute the value of the following improper integral, if it converges. (If it diverges, enter oo if…

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Q: An aunt wants to make a gift of $110,000.00 to their niece's for her college education on her 18th…

A: Compounded continuously formula A= Final value P= Present value r= interest rate t= time

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Q: = (a) Draw the exponential function: y 3x Also identify the asymptote to this function in your…

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Q: 6. Newton's Law of Gravitation says that the magnitude F of the force exerted by a body of mass m on…

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Q: Given F(1) = 1, F'(1) = 1, F(2) = 3, F'(2) = 7 and G(2) = 1, G'(2) = 5, G(3) = 6, G'(3) = 2, find…

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Q: 4. Find the following limits. If the li -∞0, write that. (a) e³x-1 lim x→0 5x

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: If f(x) = 4√√x(x³ - 8√√x+6), Find f'(2). find f'(x).

A: If .To find .

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Q: Find the total differential d2 for the dx = 0.01 X= 2 Y = 0 and dy = 0.01 J2 and 42 LE of function…

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Q: Find the derivative of the function. y' = X ¹ ( 132 a y = tan-1 + In x + a х-а

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Q: How do you know what ds equals?

A: ds represent the integration with respect to arc lenght

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Q: Give the Taylor series for sin x about xo = 2

A: To give the Taylor series for .

Q: 3. Water drains out of a container in the shape of an inverted pyramid at the rate of 10 cm³ / min.…

A: Water drains out of a container in the shape of an inverted pyramid at the rate of 10 cm3/min. The…

Q: Find the indefinite integral. (Use C for the constant of integration.) J 4 16 – (In(x))² dx

A: To find the following indefinite integral.

Q: 2. Complete the Square to re-write the quadratic equation in vertex form and graph the function:…

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Q: Evaluate the integral using partial fraction method. Sex ((x^² + 7) dx (x²+2)(x-3)

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Q: Compute the Taylor polynomial of degree 4 for g(x)=cos x centered at x=0.

A: To compute the Taylor polynomial of degree 4 for  centered at .

Q: Suppose that the number P(t) of bacteria in a culture after t days is given by the formula P(t)=34…

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Q: Let g(¹) – (61 – In 1)³. Then g'(x) =

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Q: Find the points on the curve where the tangent pairs.) x=9-t², y = t³ - 12t (x, y) = horizontal…

A: Given, x =9-t2y = t3-12t

Q: Determine the equation of the tangent to the graph of y-²-4-√x at the point (4,8). a) y=-7x+36 b)…

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Q: Evaluate the following integral 8 ["* e* dx е 0

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Q: 5 4x +5x7 Find the derivative of the function f(x)=- 2x² 20 (1) Quotient Rule and (2) simplify first…

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