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a parabolic satellite dish is formed by rotating the curve y=ax^2 about the y-axis. if the dish has a 10 foot diameter and a maximum depth of 2 feet, find a and then find the surface area of the dish.
the indicated derivative
Calculate the monthly finance charge for the credit card transaction. Assume that it takes 10 days for a payment to be received and recorded, and that the month is 30 days long.
Let the cubic equation ax^3 + bx^2 +cx + d =0 have integral coefficients a, b, c, and d. Show that if a =1, every rational root of the cubic must be an integer that divides the constant term d.
Discuss the notion of the logical "or" and the logical "and" in computer programming (coding) or flowcharts. Why is it important to know how to apply these correctly?
There are 7 women and 9 men on a faculty. How many ways are there to select a committee of 5 members if at least 1 member must be a woman?
An Introduction to Economics class with 188 students meets in this lecture hall. What is the probability that at least one right-handed student in this class is forced to use a seat designed for a left-hander?
Evaluate double integral: (int from 0 to 1). (int from 0 to cos inverse y). [square root (1 + sin x) dx dy.
Probability and chance A prison has 20 balls, 10 black and 10 white. The prisoner is to arrange the balls in 2 boxes. All of the balls must be used and there must be at least one ball in each box.
Use the Midpoint Rule, with n=4, to approximate the area of the region bounded by f (x)=x^3 -8x^2+16x and the x-axis between x=0 and x=4. Round answer to two decimal places.
A rectangular package can have a maximum combined length and girth (perimeter of a cross section) of 108 inches. Find the dimensions of the package of maximum volume. Assume cross section is square.
the base of a right triangular prism is a isosceles triangle whose equal sides measure 25 cm each. the volume is 0.075 cubic meters. what is the height of the prism.
Are these functions Reimann Integrable? I am just learning this topic, so my description may not be accurate. A function is Reimann Integrable if it's Upper Darboux Sums and Lower Darboux suns are equal.
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