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Differentiate following functions.
g ( x ) = 3sec ( x ) -10 cot ( x )
Solution : There actually isn't a whole lot to this problem. We'll just differentiate each term by using the formulas from above.
g′ ( x ) =3sec ( x ) tan ( x ) -10 (- csc2 ( x ))
=3sec (x ) tan ( x ) +10 csc2 (x )
The area of a rectangle is 24 square inches. The length of the rectangle is 2 inches more than the width. How many inches is the width? Let x = the number of inches in the widt
Q1: Find three positive numbers whose sum is 54 and whose product is as large as possible.
Donald sold $5,250 worth of latest insurance policies last month. If he receives a commission of 7% on new policies, how much did Donald earn in commissions last month? To ?nd
Graph y = sin ( x ) Solution : As along the first problem in this section there actually isn't a lot to do other than graph it. Following is the graph. From this grap
what is the difference between North America''s part of the total population and Africa''s part
A toy company produces 2 models of water guns: spray king and zapper. They are manufactured in batches for easier packaging and sale. Two of the limiting resources are 1200 pounds
Your grandparents gave you a gift of R2 000 on your 16th birth day. You want to invest the money in an account over four years. You have an option of investing the R2 000 at 8% per
chapter permutation & combination ex :4.6
factories Y=(B+CA)(C+A''B)
Multiply following. Assume that x is positive. (3√x-√y)(2√x-5√y) Solution (3√x-√y)(2√x-5√y) =6√x 2 -15√x√y-2√x√y+5√y
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