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A: The equation is given byLet Now the equation (1) becomes

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

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A: The given function is  The formula for

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A: To a. Find the critical points of f(x)=x^3-12x-5 and identify the open intervals on which f is…

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A: Consider the graph

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A: Devon invested $9500 in three different mutual funds. A fund containing large cap stocks made a 6.8%…

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A: The equation is given byTo determine: The solution of the equation.Formula used:

Q: A stone was dropped off a cliff and hit the ground with a speed of 152 ft/s. What is the height of…

A: A stone was dropped off a cliff and hit the ground at a speed of 152 ft/s.

Q: Find the average rate of change of g(x)=-³-5 from z= -3 to 4.

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Q: The graph of g(y) = 8 is given below. -6 -5 -4 -3 -2 -1 of & 8 -5 Determine the definite integral…

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Q: (8) Find the differential for the function using logarithmic differentiation. y = dy = y'dx = (sin…

A: The given function is To find:-The differential for the given function using logarithmic…

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Q: Find the curl of the vector field at the given point. F(x, y, z) = x²zi – 2xzj + yzk; (5,-9, 9) -…

A: F(x,y,z)=x2zi-2xzj+yzk, (5,-9,9)

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A: To evaluate the following limit.

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Q: Graph the polynomial P(x) = x³ + x² - 5x+3 using calculus by showing the given steps: (c) Determine…

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Q: Find the absolute extrema of the function on the closed interval. Use a graphing utility to verify…

A: f(x) =x^3-27x to find the absolute extrema on [0,