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MATH 16A WORKSHEET 8-
(1) Find all absolute maxima and absolute minima of f(x) = x3 - 12x on [-5, 3].
(2) Find all absolute maxima and absolute minima of f(x) = 1/x2+1 on (-∞, ∞).
(3) A cup is to be designed in the shape of a hollow cylinder with one of the circular discs removed. What is the minimum and maximum surface area that the cup could have, assuming that we want it to be able to hold π cm3 of water?
(4) What is the point on the curve y = x2 that is closest to the point (1, 0)?
Use the formula to determine how long it takes the ball to return to the earth and Evaluate the maximum height of ball using given equation
Evaluate the Riemann sum for f(x)=3-1x/2 x is greater than or equal to 2 and less than or equal to 14 with six subintervals, taking the sample points to be left end- points.
Application of differential calculus in economics: Profit, Cost and Revenue function - What is the maximum profit if each item is sold for $7? (Assume you sell every thing you produce.)
What are the benefits and limitations of the resource-Here you are able to provide a detailed analysis (20%) of the item, discussing benefits and limitations. You will make links to curricula documentation within this analysis, i.e. Early Years Lea..
A plane travels 160 miles on a bearing of N 50° E and then changes its course to N 67° E and travels another 160 miles. Find the total distance traveled north and the total distance traveled east.
Illustrate the positions of Jill and John at 3:00pm. (I calculated that Jill would be 90 miles away and John would be 75 miles away) Find the measure of the angle between their routes. I calculated this angle to be 65 degrees. Is this correct?
Rhonda received her social security check for 1275 she spent 1/3 on rent and 3/5 of the remaining amount on utilities food and transportation. How much does she have left?
Similarly, one additional unit will be occupied for each 6 dollar decrease in rent. What rent should the manager charge to maximize revenue.
Dave purchased 3 notebooks for a cost of $6.29 each before tax. He gave the cashier $20.00. If the sales tax on his purchase was 6%, how much money should Dave have received from the cashier, to the nearest penny?
After Chelsea's income increased from $12,000 to $18,000 a year, her purchases of CDs increased from 10 to 40 CDs a year. Calculate Chelsea's income elasticity of demand for CDs using the midpoint method
A company's revenue is the amount of money that comes in from sales before business costs are subtracted. For a single product, you can find the revenue by multiplying the quantity of the product sold, x, by the demand equation, p.
question the perimeter of a rectangle is 54. the length of the rectangle is three more than three times the width. find
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