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If a ball is dropped from the top of a 120 m cliff its height h in meters after t seconds can be modelled by h(t)=120-4.9t^2 Find the average of change of height of the ball with respect to time...
a weather satellite with an orbit about the earth reaches a minimum altitude of 1000 miles and a maximum altitude of 1600 miles. the path of its orbit is approximately an ellipse with the center of...
Suppose h(x)=sqrt(f(x)) and the equation of the tangent line to f(x) at x=1 is y=4+5(x−1). Find h′(1).
Suppose F(x)=f(x)g(2x). If f(1)=3, f′(1)=3, g(2)=2, and g′(2)=5, find F′(1). Derivative of g(2x) at x=1 is?
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Find the acceleration when the velocity is 0. I know the function for acceleration is 6t so I thought the answer must be 0. However, the back of the book says the answer is 6. Is that...
Differentiate (x^2 + 4x + 3)/sqrt*x)
Differentiate 3e^x
Differentiate -12/s^5
Producers of a certain brand of refrigerator will make 1600 refrigerators available when the unit price is $220. At a unit price of $270, 5600 refrigerators will be marketed. Find the equation relating...
DEAR CONSTRUCTOR,. I AM THE DIRECTOR OF MAGIC MOUNTAIN SKI AREA AND WE WISH TO CHOOSE A SITE FOR OUR NEW SKI LIFT. THE POSSIBLE SITES FOR THE BASE OF THE SKI LIFT MUST BE BETWEEN POINTS A AND...
suppose the demand for a certain brand of product is give by D(p)= (-p^2)/(252)+400, where p is price in dollars... If the price, in terms of cost c, is expressed as p(c) =3c-24, find the...
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Find an expression for the cost function, Cost(x), if the marginal cost function is 47+0.5x^2 and the fixed cost is 226. Then use your function to determine the cost when producing 37...
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