Calculus 1 and Show answer please!

5. Let f(x] = coslx) - sin(x} on the closed interval [0, H] 3. Compute the critical pointis) {x-value and y-value] for fix). Answer 5a. Computation: b. Compute the inflection pointis} Ixvalue and y-value} for f(x}. Answer 5b. Computation: 6. Complete the following statements: If f(x) is a differentiable function on an interval (a,b} and fix) is decreasing, then f 1x} is Explain: If fix) is a differentiable function on an interval (a,b} and f '(x) is increasing, then f(x) is concave Explain: I? 26+0.02v2 the speed of the traffic in miles per hour. What speed v will maximize the flow rate F on the road? 7. On a given day, the ow rate F (cars per hour] on a congested roadway is F = where v is Answer: v = to maximize the traffic ow F. Computation: 8. a. Carefully state the Fundamental Theorem of Calculus, Part | b. If x] is a continuous function on an interval [a,b] and RN is the Riemann Sum for N rectangles with width Ax and height (f (xi) where xi is a point in the ith-subinterval, then 1325:, RN = 9. Compute the following integrals: 3 5 a. II cos( 3x) + dx- Computation: x _ b' l 5x2+1 dx - Computation 511:: c" I x2+1_ Computation: 10. 3. Carefully state the Fundamental Theorem of Calculus, Part || 1 sin(x) t _ b. Info 9 dt