Basic Math question and answers for November 10, 2024
- Q Evaluate each integral using the definition of the definite integral with right endpoints (given in Theorem 4 of the book) and taking the limit. (a) ?? (x +2x-5)dx(b) ??? x...
- Q In 1970 the population of the United States was 203 million. Ten years later, in 1980, the population of the United States was 226 million.Write a function for the exponential...
- Q A tank that is 8 feet deep, with a square bottom with sides 4 feet each, has1 foot of water that weighs 62.3 lb/ft in it.How much work, to the...
- Q A construction worker, 36 feet up on a scaffold, lifts a 4-lb rope hand over hand up to the scaffold to raise a cement block weighing 8 pounds off the...
- Q Consider the function f(x) = ? 1/2x+2x+8.What is the overestimate of the area under the curve of f using rectangular approximations on the interval [-2, 4] with three equal subintervals?Note:...
- Q A particle moves along a line so that its velocity at time t is v (t) = t + 3t - 11 in meters per second.Find the displacement of the...
- Q If a cup of coffee has temperature 93C in a room where the ambient air temperature is 20C, then, according to Newton's Law of Cooling, the temperature of the coffee...
- Q Let R be the region bounded above by the graph of y = 1- and below by the graph of y= 2-1, for-1 ? ? 1, as shaded in the...
- Q CREDIT CARDS IN CHINA The total number of credit cards issued in China from 2009 through 2012 grew at the rate of r(t) = 153e0.21t (1 ?1?4) million/year, where (t...
- Q CONCENTRATION OF A DRUG IN THE BLOODSTREAM The concen- tration of a certain drug in a patient's bloodstream thr after injection is C (t) = = 0.2t / t +...
- Q -X Answer the following questions about the function whose derivative is f'(x) = (x+3) e X.a. What are the critical points of f? b. On what open intervals is f...
- Q AIR PURIFICATION To test air purifiers, engineers ran a purifier in a smoke-filled 10-ft X 20-ft room. While con- ducting a test for a certain brand of air purifier, theydetermined...
- Q Using rectangles each of whose height is given by the value of the function at the midpoint of the rectangle's base (the midpoint rule), estimate the area under the graph...
- Q Let Ln denote the left - endpoint sum u sing n subintervals and let Rn denote the corresponding right - endpoint sum. In the following exercises, compute the indicated left...
- Q The marginal revenue function for Hedgemony, a bush planting service, is given by r(x) = 31 - 0.2x dollars per plant, when x bushes are planted. Find the change in...
- Q 7. Set up, but do not simplify or evaluate, the integrals to find the volumes of the solids obtained by rotating the region bounded by the curves y = x...
- Q Write and evaluate the definite integral that represents the area of the surface generated by revolving the curve on the indicatedinterval about the y-axis. (Round your answer to three decimal...
- Q Set up, but do not simplify or evaluate, the integrals to find the volumes of the solids obtained by rotating the region bounded by the curves y = x and...
- Q Given the function f(x) = 10log(x + 3), find the area of the region bound by the graph of y= = f(x), the x-axis, and the line x = 4....
- Q What is the exact volume of a solid that is formed by rotating the areabetween the functions f (x) = 4x + 2 and g(x) = 2x + 2about the...
- Q Use the cylindrical shell method to calculate the approximate volumeof the solid formed by rotating the graph of f (x) =?x + 5xabout the y-axis on the interval [0, 5].Note:...
- Q A satellite radio station is launching an advertising campaign in order to increase the number ofdaily listeners. The station currently has 27000 daily listeners, and management experts thenumbers of the...
- Q 2.) (3 pts) Let R be the region in the first quadrant bounded only bythe lines y = 0, z + y = 10 and the curve y = ....
- Q Assume that sin(x) equals its Maclaurin series for all x.Use the Maclaurin series for sin(4x) to evaluate theintegral0.65sin(4x) dxYour answer will be an infinite series. Use the first twoterms to...
- Q (1 pt) A certain motorcycle manufacturer has been building motorcycles for 95 years. Over that period, production has increased steadily atan annual rate of 2%, so that the production rate,...
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