In: Math
Q1).The cost of a four-year private college education (after financial aid) has been estimated to be $50,000.† How large a trust fund, paying 4% compounded quarterly, must be established at a child's birth to ensure sufficient funds at age 18? (Round your answer to the nearest cent.)
Q2). Find (without using a calculator) the absolute extreme values of the function on the given interval.
f(x) = x/x^2+9 on [-5,5]
find maximum and minimum
Q3). For the function, do the following.
f(x) = 3/x from a = 1 to b = 2.
(a) Approximate the area under the curve from
a to b by calculating a Riemann sum using 10
rectangles. Use the method described in Example 1 on page 351,
rounding to three decimal places.
(b) Find the exact area under the curve from a to
b by evaluating an appropriate definite integral using the
Fundamental Theorem.