Basic Math question and answers for November 07, 2024
- Q Consider the following function.f(x) = 4 - |x-4|(a) Find the critical numbers of f. (Enter your answers as a comma-separated list.)(b) Find the open intervals on which the function is...
- Q Consider the following function.f(x) = 4|x - 4|(a) Find the critical numbers of f. (Enter your answers as a comma-separated list.)(b) Find the open intervals on which the function is...
- Q The function y=c1 cos 5x + c2 sin 5x is a two-parameter family ofsolutions of the second-order differential equation y" + 25y = 0.Find the values of c1 and c2...
- Q Suppose the monthly cost for manufacturing bar stools is C(x)=517 +31x, where x is the number of bar stools produced each month. Find and interpret the marginal cost for the...
- Q A certain bacterial culture is growing so that it has a mass of 1/3 t +8 grams after t hours.a) How much did it grow during the interval 2 ?...
- Q Consider the following function.f(x) = 4 - |x - 4|(a) Find the critical numbers of f. (Enter your answers as a comma-separated list.)(b) Find the open intervals on which the...
- Q Andy needs to create an open topped box to carry a catapult to school for physicsclass. He uses a piece of cardboard that is 40 inches by 50 inches to...
- Q Identify the critical points and find the maximum value and minimum value on the given interval..f(x)=x-162x + 162; 1=[-10,10]The critical points areThe maximum value isThe minimum value is
- Q A 12-foot ladder is leaning against a building. If the bottom of the ladder is sliding along the pavement directly away from the building at 2 ft/sec, how fast is...
- Q A patient receives an injection of 1.9 milligrams of a drug, and the amount remaining in the bloodstream t hours later is A(t) = 1.9e-0.05t. Find the instantaneous rate of...
- Q Which statement is true for the graph of f(x) = 2x-6x-48x + 24?(4, -140) is a relative minimum; (-2, 77) is a relative maximum(4, -136) is a relative minimum; (-2,...
- Q Find the polynomial function, f, such that there is a local minimum at x = 1, a local maximum at x = 2, a maximum value f(0) = 18, and...
- Q Consider the function below.f(x) = -5x + 30x + 5Exercise (a)Find the critical numbers of f.Step 1Differentiate f(x) = -5x + 30x + 5 with respect to x.f'(x) = -10x...
- Q The function f(x) = 2x 30x +96x + 2 has one local minimum and one local maximum.Use a graph of the function to estimate these local extrema.This function has a...
- Q Find the average rate of change of g(x) = 5x + 5/x4 on the interval [-4, 3].
- Q This question is designed to be answered with a calculator.The rate at which the value of a bank account changes over time is given by dY/dt = KV, where k...
- Q Find dy/dx by implicit differentiation.cot(y) = 6x - 5y
- Q All edges of a cube are expanding at a rate of 6 centimeters per second.(a) How fast is the surface area changing when each edge is 4 centimeters?(b) How fast...
- Q A point is moving along the graph of the given function at the rate dx/dt. Find dy/dt for the given values of x.dxy = 4x + 1;dt(a) X = -1dydt(b)...
- Q Use the concavity theorem to determine the intervalf(x)= (4x-5)Select the correct choice below and, if necessary, fill in the answer box within your choice.A. The function is concave up on(Type...
- Q Let D be the distance between the origin and a moving point on the graph of y = sin 7x.D =? + y
- Q Find dy/dx by implicit differentiation. Then find the slope of the graph at the given point.tan (5x + y) = 5x, (0, 0)dydx=At (0, 0): y'=
- Q Evaluate f(8) and f(8.1) and use the results to approximate f '(8). (Round your answer to one decimal place.)f(x) = x(1-x)f'(8) = -15
- Q The function r(t) = 1,000 ?cos(?t/2) gives the rate of change in the deer population in a certain area after t months.The net change in the deer population between t...
- Q A projectile is shot upward from the surface of Earth with an initial velocity of 123 meters per second. Use the position function below for free-falling objects. What is its...
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