2+cost Use IVT to show that g(t) = [0.7]. takes on the value 2.5 in the interval 1+ sin t

Do not use technology. The figure below shows the graph of f', the derivative of f. The function f is a twice differentiable function on x E (-∞o, co), f'(-0.8) = 0, and f"(1.3) = 0. -3 (a) For what values of x is f increasing? (Enter your answer using interval notation.) (b) For what values of x is the graph of f concave downward? (Enter your answer using interval notation.)

4 Use the second derivative test. Show Graph. Find all relative extrema of f (x) = x* – 4æ³ +1

Estimate f(5.03) for f as in the figure. y y=f(x) (10, 4) Tangent line (4, 2) (Give your answer to three decimal places.) f(5.03) =