Consider the function. f(x) = xR(x) + Q(x) Identify the derivative f' (x). Of' (x) = R'(x) + Q'(x) Of' ( x) = XR'(x) + R(x) + Q(x) Of' ( x ) = XR'(x) + Q'(x) Of' ( x) = XR'(x) + R(x) + @'(x) If R(x) = 3x2 + 5 and Q(x) = >, find an expression for f' (x). (Express numbers in exact form. Use symbolic notation and fractions where needed.) f' ( x ) =Use the table of values to calculate F' (8), where F(x) = x2 f (x). f (8) f '(8) 7' 5 (Give an exact answer. Use symbolic notation and fractions where needed.) m3) = l According to Ohm's Law, current I (in amps), voltage V (in volts), and resistance R (in ohms) in a circuit are related by I = %. Calculate % R_4 assuming that V has the constant value V = 6. (Use symbolic notation and fractions where needed.) amps/ohms In correct Calculate % R_4 assuming that I has the constant value I = 5 . (Use symbolic notation and fractions where needed.) volts/ohms In correct The revenue per month earned by the Couture clothing chain at time t is R(t) = N (t)S(t), where N (f) is the number of stores and S(t) is average revenue per store per month. Couture embarks on a two-part campaign: to build new stores at a rate of 4 stores per month and to use advertising to increase average revenue per store at a rate of $10,000 per month. Assume that N(0) = 50 and S(0) = $150,000. Compute the total revenue increase. (Use symbolic notation and fractions where needed. Write S(t) as S and N (t) as N.) dR = 10000N+ 115' off In correct Calculate Q d! {:0 ' (Give your answer as a whole or exact number.) g 2150000 dt [4:0 Incorrect The graph of distance s(t) from the origin as a function of time for a car trip is given. Distance (km) 150- 100 50 0.5 1.0 1.5 2.0 2.5 3.0 .1 (h) Distance from the origin versus time for a car trip. Find the average velocity over the interval [0, 0.5]. (Give your answer as a whole or exact number.) The average velocity over the interval [0, 0.5] is km/h Find the average velocity over the interval [0.5, 1]. (Give your answer as a whole or exact number.) The average velocity over the interval [0.5, 1] is km/h Find the average velocity over the interval [1, 1.5]. (Give your answer as a whole or exact number.) The average velocity over the interval [1, 1.5] is km/h Find the average velocity over the interval [1, 2]. (Give your answer as a whole or exact number.) The average velocity over the interval [1, 2] is km/h2.411 (R+0.5)2 The power delivered by a battery to an apparatus of resistance R (in ohms) is P(R) = W. Find the rate of change of power with respect to resistance for R = 8 2. (Use decimal notation. Give your answer to four decimal places.) The dollar cost of producing x bagels is C(x) = 300 + 0.25x 0.6( 1500 )3. Determine the cost of producing 1000 bagels. (Use decimal notation. Give your answer to one decimal place.) (30000) = $ 549.4 Estimate the cost of the 1001st bagel. (Use decimal notation. Give your answer to three decimal places.) 549.648 The estimated cost of the 1001st bagel is $ Incorrect Find the actual cost of the 1001st bagel. (Use decimal notation. Give your answer to three decimal places.) The actual cost of the 10013t bagel is $ 0-248