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A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the maximum height reached by the rocket, to the nearest tenth of a foot.
y=-16x 2 +149x+139
Find the derivative of the function by using quotient rule.
A cylindrical drill with radius r1 is used to bore a hole through the center of a sphere of radius r2. Find the volume of the ring-shaped solid that remains.
Verify Stoke's theorem where S is the surface of the paraboloid 2z=x2 + y bounded by z=2 and C is its boundary.
A bag contains three red marbles, three green ones, one lavender one, two yellows, and four orange marbles. How many sets of five marbles include either the lavender one or exactly one yellow one but not both colors?
Let S be the part of the plane 3x + 1y + z = 4 which lies in the first octant, oriented upward. Find the flux of the vector field F = 1I + 2J + 2K across the surface S.
The curve intersects the horizontal line at a particular discount rate. What is this discount rate at which the graph intersects the horizontal axis?
Show that the functions 1, x and cosx are orthogonal on the interval -(pi)
Fruits and vegetables are sold by the pound. Add up your prices per pound for the fruits and vegetables and find the average cost per pound.
Suppose Motorola wishes to estimate the mean talk time for its V505 camera phone before the battery must be recharged. In a random sample of 50 phones, the sample mean talk time was 347 minutes.
Find the correlation coefficient between X and Y. Is there a weak or strong, positive or negative correlation between X and Y?
Find whether the given function is linear function or not - For each of the relationships below, explain whether you think it is best described by a linear function or a non-linear function.
five school children are weighed in pairs. the readings (in kilograms) are: 58,60,61,64,65,67,68,70 and 71. find the weight of the individual children.
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