Questions from General Calculus


Q: Find d2y/dx2. y = x√x +

Find d2y/dx2. y = x√x + 1

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Q: Find the values of x at which the function has a possible

Find the values of x at which the function has a possible relative maximum or minimum point. (Recall that ex is positive for all x.) Use the second derivative to determine the nature of the function a...

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Q: Find the values of x at which the function has a possible

Find the values of x at which the function has a possible relative maximum or minimum point. (Recall that ex is positive for all x.) Use the second derivative to determine the nature of the function a...

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Q: The value of an investment portfolio consisting of two stocks is given

The value of an investment portfolio consisting of two stocks is given by f (t) = 3e0.06t + 2e0.02t, where t is the number of years since the inception of the portfolio, and f (t) is in thousands of d...

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Q: The value of a computer t years after purchase is υ(

The value of a computer t years after purchase is υ(t) = 2000e-0.35t dollars. At what rate is the computer’s value falling after 3-years?

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Q: The highest price ever paid for an artwork at auction was for

The highest price ever paid for an artwork at auction was for Pablo Picasso’s 1955 painting Les femmes d’Alger, which fetched $179.4 million in a Christie’s auction in 2015. The painting was last sold...

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Q: A painting purchased in 2015 for $100,000 is estimated

A painting purchased in 2015 for $100,000 is estimated to be worth υ(t) = 100,000et/5 dollars after t years. At what rate will the painting be appreciating in 2020?

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Q: The velocity of a parachutist during free fall is f (t

The velocity of a parachutist during free fall is f (t) = 60(1 - e-0.17t) meters per second. Answer the following questions by reading the graph in Fig. 2. (Recall that acceleration is the derivative...

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Q: Suppose that the velocity of a parachutist is υ(t)

Suppose that the velocity of a parachutist is Ï…(t) = 65(1 - e-0.16t) meters per second. The graph of Ï…(t) is similar to that in Fig. 2. Calculate the parachutistâ€...

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Q: Let T be the time constant of the curve y = Ce

Let T be the time constant of the curve y = Ce-λt as defined in Fig. 5. Show that T = 1>λ.

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