Calculus

final result

Section 5.4: Problem 10 (1 point) Previous Problem Problem List Next Problem If f(I) = + 2t- + 5) dt then f" ( I) =Section 5.4: Problem 12 (1 point) Previous Problem Problem List Next Problem Find the average value of : f(x) = 2 sinc + 3 cos I on the interval [0, * *] Average value =Section 5.4: Problem 14 (1 point) Previous Problem Problem List Next Problem A car drives down a road in such a way that its velocity (in m/sec) at time t (in sec) is v(t) = t1/2 + 4. Find the car's average velocity (in m/sec) between t = 5 and t = 8. Answer =Section 5.4: Problem 2 (1 point) Previous Problem Problem List Next Problem Use part I of the Fundamental Theorem of Calculus to find the derivative of f( I) = / + + 125dt 5 f'(x) = [NOTE: Enter a function as your answer. Make sure that your syntax is correct, i.e. remember to put all the necessary (, ), etc. ]Section 5.4: Problem 4 (1 point) Previous Problem Problem List Next Problem Use part I of the Fundamental Theorem of Calculus to find the derivative of F(x) = / sin(t )dt F'(x) = [NOTE: Enter a function as your answer.]Section 5.4: Problem 5 (1 point) Previous Problem Problem List Next Problem Use the Fundamental Theorem of Calculus to find the derivative of VI cost y = -dt $10 8 dy [NOTE: Enter a function as your answer. Make sure that your syntax is correct, i.e. remember to put all the necessary (, ), etc. ]Section 5.4: Problem 6 (1 point) Previous Problem Problem List Next Problem 7 If f(x) = sin(t) dt , then f'(x) = 1 72 1+ t2Section 5.4: Problem 7 (1 point) Previous Problem Problem List Next Problem Find the derivative of the following function F(x) = (2t - 1) dt using the Fundamental Theorem of Calculus. F'(x) =Section 5.4: Problem 8 (1 point) Previous Problem Problem List Next Problem Find the derivative of u + 2 g(x) = / du u - 5