Find the formula for an exponential function that passes through the two points give.
(x, y) = (-1,3/2) and (x, y) = (3,24)

Step-by-step explanation:

Given.

Two points are given.

and

An exponential function is in the general form.

-------(1)

We know the points   and

put the first point value in equation 1

--------(2)

put the second point value in equation 1

----------(3)

Put the a value from equation 2 to equation 3

Put the b value in equation 2

Put the a and b value in equation 1

So, the exponential function that passes through the points   and are .

answer: cos [   arcsin (3/5) - arccos (1/2) ] =

step-by-step explanation: × = 3/5 = 0.6--> x = 36.87 and x = 180 - 36.87 = 143.13 deg

cos y = 1/2 --> y = +- 60 deg a. cos (x - y) = cos (143.13 - 60) = cos 83,13  

=

0.12

b. cos (36.87 - 60) = cos (-23.23) = 0.92