Basic Math question and answers for October 27, 2024
- Q Determine the smallest degree of the Maclaurin polynomial required for the error in the approximation of the function at theindicated value of x to be less than 0.001.f(x) = e^x,...
- Q How is the function g(x) = sin(x) + 3 transformed from the parent sine function, f(x) = sin(x)?The period of f(x) is increased by 3 to create g(x).The midline of...
- Q The tolerance for a ball bearing is 0.02. Per Manufacturing specifications, the true diameter of the bearing is to be 5.8 centimeters and the measured value of the diameter is...
- Q A bacteria culture contains 1300 bacteria initially and doubles every hour.(a) Find a function / that models the number of bacteria after t hours.N(t) =(b) Find the number of bacteria...
- Q Find the exact area enclosed by the curve y = x(4- x) and the x-axis.Area
- Q The LaTique Outlet store estimate that their weekly sales Sand weekly advertising cos t x is modeled by the equationS(x) = 60000 - 40000e-0.0005xThe present weekly advertising cost of $2,000,...
- Q Find a polynomial of the specified degree that has the given zeros.Degree 4; zeros -3, 0, 3, 5P(x) =
- Q Consider the interval [-16, 14].(a) Find the length of the interval.30(b) If we partition [-16, 14] into 10 subintervals of equal length, then(i) the length of each subinterval is 3(ii)...
- Q Consider the following function.g(x) =-2/3 x^3Step 2 of 2: Find two points on the graph of this function, other than the origin, that fit within the given [-10, 10] by...
- Q When a certain medical drug is administered to a patient, the number of milligrams remaining in the patient's bloodstream after t hours is modeled byD(t) = 90e^-0.1tHow many milligrams of...
- Q Suppose a product's revenue function is given by R(q)=-6q +700g.Find an expression for the marginal revenue function, simplify it, and record your result in the box below. Be sure to...
- Q 6. A football player attempts to kick a football over a goal post. The path of the football can be modeled by the function h(x)= 1/225x + 2/3x, where x...
- Q Suppose that an object that is originally at room temperature of 40C is placed in a freezer. The temperature T (x) (in C) of the object can be approximated by...
- Q For g(x)=(x-8)(x - 9)(x + 3), find all x-values for which g(x) > 0.Select the correct choice below and, if necessary, fill in the answer box to complete your answer.A....
- Q Find the x-values of all points where the function has any relative extrema. Find the value(s) of any relative extrema.f(x) = -x-3x + 9x + 2Select the correct choice below...
- Q Eric and his wife are each starting a saving plan. Eric will initially set aside $250 and then add $135 every month to the savings. The amount A (in dollars)...
- Q Jesaki Publishing is planning for a new novel, and figures fixed costs (overhead, advances, promotion, copy editing, typesetting) at $65,000, and variable costs (printing, paper, binding, shipping) at $1.60 for...
- Q The doubling period of a bacterial population is 20 minutes. At time t = 80 minutes, the bacterial population was 70000.What was the initial population at time t = 0?Find...
- Q Select the statement that explains onedifferences between the graphs off(x) = 5xand g(x)=1/5x2The graph of f(x) is wider thanthe graph of g (x).The graph of f(x) is narrowerthan the graph...
- Q A small publishing company is releasing a new book. The production costs will include a one-time fixed cost for editing and an additional cost for each book printed. The total...
- Q Suppose the polynomial function below represents the power generated by a wind turbine, where x represents the wind speed in meters per second and y represents the kilowatts generated. Interpret...
- Q A baseball is thrown vertically upward at a rate of 105 feet per second from an initial height of 5 feet. Use the projectile formula- 16t + vot + ho...
- Q For f(x)=x+4 and g(x) = 2x + 2, find the following functions.a. (fog)(x); b. (gof)(x); c. (fog)(2); d. (gof)(2)a. (fog)(x) = (Simplify your answer.)
- Q A shipping company charges fees according to the weight of apackage. Prices follow the function below. 2.80 for 0<x< 1.5 y ={ ...
- Q The lacrosse team is raising money by selling cheesecakes. The players plan to sell an entire cheesecake for $24.00 each and slices of cheesecake for $3.50 each. If they want...
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