Answer:
v(t) = 6t^2 +5
Step-by-step explanation:
Velocity is the derivative of position. The derivative of a sum is the sum of the derivatives of its terms. The power rule for derivatives is ...
(d/dx)(x^n) = n·x^(n-1)
So, the derivative of d(t) is ...
v(t) = 2(3t^2) +5(1t^0)
v(t) = 6t^2 +5 . . . . matches choice C
Answer:

Step-by-step explanation:
Let

Differentiating y with respect to x

where a and b are constants
Answer:
1,000
Step-by-step explanation:
X would be r*cos theta and y would be r*sin theta.
Here, x is 5cos 135 deg = 5(-1/sqrt(3))
and y is 5* sin 135 deg = 5*(1/sqrt(3))
Write this point in the form (x,y), using the above values for x and y.