Question 31 (essay worth 5 points)

the position of an object at time t is given by s(t) = 6 - 14t. find the instantaneous velocity at t = 6 by finding the derivative.

For this case we have by definition, that the derivative of the position with respect to time is the velocity, that is to say:

So:

Taking into account that the derivative of a constant is 0.

So, the velocity is -14

-14

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.

x/3-10=8

x/3=18

x=48