Let x(t) = 2 cos(t) + cos(2t) and y(t) = 2 sin(t) – sin(2t). a) Plot the curve for t = = [0,6].
b) Find the equation for the tangent line at (-1,2). (You may need to use nsolve for this part and use the plot to pick a good guess)
c) Find all points where the curve has a vertical tangent line for t in the interval [O, 6].
(Hint: Be careful which t values you use when finding the point and make sure to verify that your t value makes sense. Many t values may look like possible answers, but they are not.)

a variable is any characteristics, number, or quantity that can be measured or counted. a variable may also be called a data item. hope i !

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

the factor is 2

step-by-step explanation:

let f(x)=8(3^(x−2)+2)

to stretch a graph by 3, it would be 3f(x)

g(x) =3f(x)

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

x     −2     0     2     4     6

f(x) 1/64 1/16   1/4     1     4

1/64 * z * z = 1/16

i multiplies by z twice because it its 2 steps from -2 to 0

1/64 z^2 = 1/16

multiply by 64 to clear the fraction on the left side

1/4 * 64 z^2 =1/16 *64

z^2 = 4

take the square root of each side

sqrt(z^2) = ±sqrt(4)

z = ±2  

we are multiplying by 2 each time.

the answer is  

a.

4,624π mm2

step-by-step explanation: