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The length x of a side of a triangle is increasing at a rate of 3 in/s, the length of another side is decreasing at a rate of 2 in/s, and the contained angle is increasing at a rate of 0.05 radian/s. How fast is the area of the triangle changing when x = 40 in, y = 50 in,and θ = π/6?
determining the dimensions of a rectangle of maximum area that is formed by x- axis and a semi circle.area a rectangle
Find the average rate of change from x=2 to x=5. Find the derivative f'(x) from first principles, by setting up the difference quotient, (f(x+h)-f(x))/(h) and finding lim h->0 (f(x+h)-f(x))/(h)
The plan for a 20ft-by-12ft patio has a square garden in the middle of it. If each side of the garden is x ft, the function y = 240-x^2 gives the area of the patio without the garden in square feet.
from a rectangular piece of cardboard having dimensions 20 inches x 30 inches, an open box is to be made by removing squares of area x^2 from each corner and turning up the sides.
Graph the following equations and inequalities on a coordinate plane, shading the solution set where necessary. 2x+5y=1
What is the probability that at least 50 customers pay in cash? What is the probability that no more than 15 customers pay in cash? What is the probability that more than 20 and less than 40 customers pay in cash?
A page for a journal contains 80 square inches of type written words. The height of a page is twice the width. If the Margin around the type is to be 2 inches uniformly, what are the dimensions of a page?
Question about Elliptic boundary value problem, Uxx means second derivative with respect to x, Uyy means second derivative with respect to y
An orange was measured and found to have a diameter of 9.8 cm. When peeled the average thickness of the peeling, t was 6.5 mm and the mass of the peelings was 110g.
If the televison camera is always kept aimed at the rocket, how fast is the camera's angle of elevation changing in radians/s at that moment?
88 feet of fencing to enclose a rectangular plot if you do not fence the side along the river. find the length that will maximize the area.
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