Consider the function Vx+1 on the interval [3,6]. а) Sketch this function on the given interval. b) Using 9 rectangles of equal width, calculate the right-endpoint approximation for this function to four decimal places. Rg = c) Use integration to calculate the exact area under the curve on this interval. Express your answer to 4 decimal places. Area = Calculate the percent error between your approximation from part (b) and the exact value from part (c). Express your answer as a percentage to 2 decimal places. (p

The marginal revenue of the (n)th box of flash cards sold is 100e-0.001n dollars. Find the revenue generated by selling boxes 101 through 1000.

Elena was pouring coffee at a constant rate into a mug similar to the one shown in the figure. Counting the seconds to fill the mug with coffee, Elena calculated that she is pouring coffee at 25ml/sec. The mug has a height of 10 cm and it took Elena about 5 seconds to fill the mug to the brim. Sketch a graph of the depth of the coffee in the mug as a function of time. Account for the shape of the graph in terms of concavity. By looking at your graph, describe how the depth of the coffee in the mug is changing and answer the following: a) At first, the depth of the coffee in the mug is changing at a (Key words for your description: rate, faster, slower). I know that, because Then, the depth of the coffee is increasing at a b) Around second the mug is filling at the fastest rate. I estimate that, at that time, the depth of the coffee would be about cm. C) The inflection point of the function would be The inflection point is the point where d) The average rate of change of the depth of…

Differentiate the function. Any help appreciated! Thanks!

A ball is dropped from the roof of a building which is 256 feet high. The height of the ball is described by the function h = -16t2 + 256 Where h equals the height in feet and t equals time measured in seconds from when the ball was dropped. Apply Bisection Method to approximate the time t the ball will take to reach ground. Consider that the time will be in between 1 -8 seconds. Keep tolerance level up to 1x103

Determine if the following functions are one-to-one by inspecting their graphs using the Vertical line test (VLT) and the Horizontal Line Test (HLT). You do not need to sketch the graphs. I am still have troubling solving these one...  16.) Y= 2x^3-4x^2-3x+517.) Y=x^2, X greater than or equal to 0