Question

Latch each function to its antide Antiderivative F(t)=4cos(-2t+7)+C

Answer 1

The antiderivative of F(t) = 4cos(-2t+7) + C is 4 * (-1/2) * -sin(-2t+7) + C.

Step-by-step explanation:

To match each function to its antiderivative, we need to find a function whose derivative is equal to the given function. In this case, the antiderivative of F(t) = 4cos(-2t+7) + C is obtained by finding a function whose derivative is 4cos(-2t+7).

The derivative of sin(x) is cos(x), and the derivative of cos(x) is -sin(x). So, to get a cos(x) function, we need to integrate sin(x).

The antiderivative of sin(x) is -cos(x) + C. So, the antiderivative of 4cos(-2t+7) is 4 * (-1/2) * -sin(-2t+7) + C.