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To find the area of the largest rectangular microprocessor chip with a perimeter of 40 mm, it is possible to use either an algebraic function or a trigonometric function. Write two or three paragraphs to explain how each type of function can be used to find the required area.
In lectures, we estimated the area under the graph of y = x2 over the interval [0, b] by partitioning [0, b] into n equal subintervals, estimating the area under the curve over each of these subintervals, and adding up the resulting estimates. The..
The centroid C shown in figure 6.6.14(shows an upside down triangle centered on the y axis topped the an arc "h" high) appears to lie about one-third of the way from the arc to the horizontal chord joining its endpoints
A farmer has a piece of fencing wire of length 625 m. the farmer intends to fence a portion of the land that will maximize, the area for keeping cattle. Determine the dimensions of the portion that will give the maximum area.
A lottery sells 10,000 tickets at $1each and draws five tickets to choose five winners. The first winner gets $4,000 , the second winner gets $2,000, and the last three get $500 each. Find the expected value of the ticket.
Probability of a Bullseye, A simple dartboard has three areas - the main board has a radius of 10 inches, there is a circle with a radius of 5 inches, and the bullseye has a radius of 2 inches
how do you identify the vertical,horizontal asymptote and range and domain froma function and also how do you graph it?
Your weekly paycheck is 15 percent less than your coworker's. Your two paychecks total 695. Find the amount of each paycheck.
A circle of radius 1 rolls around the outside of a circle of radius 2 without slipping. The curve traced by a point on the circumference of the smaller circle is called an epicycloid. Use the angle theta to find the set of parametric equations of ..
A wooden artifact from an ancient tomb contains 80 percent of the carbon-14 that is present in living trees. How long age was the artifact made? (The half-life of carbon-14 is 5730 years.)
Find a formula for the volume V(t) of the mixture at time t minutes. Find a differential equation that tells the rate of change of the amount of alcohol A(t) at time t minutes.
Solve each of the following initial value problems: Check to see if eigenvectors are multiples of the given eigenvectors.
describe an induction process. how does induction process differ from a process of simple
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