Find a vector parametrization of the circle of radius 6 in the xy-plane, centered at the origin, oriented clockwise. The point (6,0) should correspond to t=0. Use t as the parameter in your answer.

Answer with Step-by-step explanation:

We are given that  

Radius of circle,r=6 units

Center of circle=(0,0)

In xy-plane , for clockwise orientation

Substitute the value of r

When we change the orientation then sign of the parameter will be change.

At t=0, x=6  but the sign of y will be change

Therefore,

Substitute t=0

Hence, the point (6,0) should to correspond to t=0

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!

n=9

step-by-step explanation:

7 times a number = 7n

decreased by 13 = 7n-13

same as is =

5 times the number = 5n

increased by 5 = 5n+5

7n-13 = 5n+5

2n=18

n=9