Q1

Find the derivative of the function. s=t3Suppose that a wholesaler expects that his monthly revenue, in dollars, for an electronic game will be R(x) = 190x - 0.15x , 0 S x S 800 where x is the number of units sold. Find his marginal revenue and interpret it when the quantity sold is the following. (a) x = 300 $ Interpret the marginal revenue. This is the additional revenue from the 300th unit. This is the additional revenue from the 301st unit. The sale of the 300th unit results in a loss of revenue of this amount. The sale of the 301st unit results in a loss of this amount. (b) x = 800 $ Interpret the marginal revenue. The sale of the 800th unit results in a loss of revenue of this amount. O This is the additional revenue from the 300th unit. O The sale of the 801st unit results in a loss of this amount. This is the additional revenue from the 801st unit.For the function P(x) = x - 8x, at the point (3, 3), find the following. (a) the slope of the tangent to the curve (b) the instantaneous rate of change of the function\fWrite the equation of the tangent line to the curve at the indicated point. As a check, graph both the function and the tangent line. y = x3 - 3x2 + 9 atx = 1Consider the following. y - x3 3x2 + 3 Evaluate y when x - 1. K1) - Find y'. Evaluate y\" when x - 1. Y'CI) - Write the equation of the tangent line to the curve at x - 1. A5 a check, graph both the function and the tangent line. : Write the equation of the tangent line to the curve at the indicated point. As a check, graph both the function and the tangent line. (Use exact numerical values. Do not round.) f ( x ) = at x = -1\f(c) Use the graph of f'(x) to identify xvalues where f'tx) - I), f'(x) ) I), and f'(x} 4: D. f'(X) - 0 x 7 B f'(x) > El f'(x)