Answer A-D please The figure to the right shows a container that is to be filled with water from the top. Assume that water is poured into the container at a constant rateand the container is filled in 10 s. Assume also that the horizontal cross sections of the container are always circles. Let h(t) be the depth of the waterin the container at time t, for 0 st≤ 10. Complete parts (a) through (d) below....a. Sketch a graph of the function y = h(t), for 0 st≤ 10. Choose the correct graph below.O A.OB.O C.O D.QQGAh5242 The figure to the right shows a container that is to be filled with water from the top. Assume that water is poured into the container at a constant rateb. Explain why h is an increasing function. Choose the correct answer below.O A. The height of the container is increasing at all times.O B. Water is being added to the container at all times.OC. The derivative of h is always increasing.OD. The value of t is always increasing.c. Describe the concavity of the function. Identify inflection points where they occur. Choose the correct answer below.O A. The function is concave down throughout 0 st≤ 10. The function has no inflection points.O B. The function is concave up on (0,5), then concave down on (5,10). The function has an inflection point at t = 5.OC. The function has no concavity, then is concave down, then has no concavity, then isconcave up, then has no concavity. The function has no inflection points.O D. The function is concave down on (0,5), then concave up on (5,10). The function has an inflection point at t = 5.d. Where does h' (the derivative of h) have an absolute maximum on [0,10]? Choose the correct answer below.

Let us start solving the problem step by step Given: * A container is filled from the top. * water…

The figure to the right shows a container that is to be filled with water from the top. Assume that water is poured into the container at a constant rate and the container is filled in 10 s. Assume also that the horizontal cross sections of the container are always circles. Let h(t) be the depth of the water in the container at time t, for 0 st≤ 10. Complete parts (a) through (d) below. ... a. Sketch a graph of the function y = h(t), for 0 st≤ 10. Choose the correct graph below. O A. OB. O C. O D. 5 G G 4