Find the point P on the graph of the function y=√x closest to the point (9,0) The x coordinate of P is:

.

Step-by-step explanation:

Let the -coordinate of be . For to be on the graph of the function , the -coordinate of would need to be . Therefore, the coordinate of would be .

The Euclidean Distance between and is:

.

The goal is to find the a that minimizes this distance. However, is non-negative for all real . Hence, the that minimizes the square of this expression, , would also minimize .

Differentiate with respect to :

.

.

Set the first derivative, , to and solve for :

.

.

Notice that the second derivative is greater than for this . Hence, would indeed minimize . This value would also minimize , the distance between and .

Therefore, the point would be closest to when the -coordinate of is .

the answer is 200

step-by-step explanation:

the way the question is worded, it seems to imply the $264 interest is simple interest, not compound interest.

the simple interest for 2 years is $264; the simple interest for 1 year is $132.

$132 interest on a $600 investment means an interest rate of (132/600)*100 = 22%.

the value of $200 at 22% interest compounded annually for three years is

200%281.22%29%5e3

the amount of interest is that value, minus the original $200.

complete the steps to find the area of the trapezoid.

area of rectangle = 256   square units

area of triangle 1 = 24  square units

area of triangle 2 = 16  square units

area of triangle 3 =   96 square units

area of trapezoid = 120  square units

step-by-step explanation: