Basic Math question and answers for August 08, 2023
- Q Compute the Taylor polynomial indicated. f(x) = cos(x), a =0T5(x) =Use the error bound to find the maximum possible size of theerror. Round your answer to nine decimal places.cos(0.4) −...
- Q Consider the following.optimize f(r,p) = 3r2 +rp − p2 +psubjectto g(r, p) =3r + 4p = 1(a) Write the Lagrange system of partial derivative equations.(Enter your answer as a comma-separated...
- Q Find the volume of the solid obtained by rotating the regionenclosed by the graphs of y=9−x, y=3x−3 and x=0 about they-axis.
- Q For each function, find the horizontal intercepts, the verticalintercept, the vertical asymptotes, and the horizontalasymptote.19. p(x)= 2x-3/x+421. s(x)=4/(x-2)^224. g(x)= 2x^2 +7x - 15/ 3x^2- 14+ 1526. k(x)= 2x^2- 3x- 20/x-5
- Q A conical tank, point down, has a radius of 6 feet and a depthof 9 feet. Water is filling the tank and thus the volume of waterin the tank is...
- Q Use spherical coordinates. Evaluate (6 − x2 − y2) dV, where H isthe solid hemisphere x2 + y2 + z2 ≤ 16, z ≥ 0. H
- Q In Exercises 1-38, solve each differential equation usingvariation of parameters. If an equation can be solved usingundetermined coefficients, do so. If both methods can be used tofind Yp, which method...
- Q x^3-34x+12=01) list all rational roots that are possible according to theRational Zero Theorma) +-1b)+-1,+-2,+-3,+-4,+-6,+-12c)+-12d) 1,2,3,4,6,12b)use synthetic division to test several possible rational rootsin order to identify one actual rootc) use...
- Q A) Find the equation of the tangent line to r = 9cos(5θ) when θ=π/2B)Find the points on the polar curve r = 1 + cos(θ) where thetangent line is horizontal.
- Q A. Find the indefinite integral.B. Find the indefinite integral.C. Find the derivative.f(x) = x6 ·log3(x)Give your answer using the form below.xA(B + ClogD(x))A =B =C =D =D. Find the indefinite...
- Q An airliner flies against the wind on one leg of its round tripin 4.5 hours. It flies back to its starting​ point, with the windin 4 hours. If the average...
- Q Find the extreme values of f on the region described bythe inequality.f(x, y) = e−xy;    x2+ 4y2 ≤ 1
- Q A health club is trying to determine how to allocate funds foradvertising. The manager decides to advertise on the radio and inthe newspaper. Previous experience with such advertising leads theclub...
- Q What is the minimum surface area of a box whose top and bottomis a square if the volume is 40 cubic inches. (Surface area is thearea of all the sides...
- Q Schneider's Bakery sells cakes. At a price of $20 per cake, itsells 500 cakes per week. At a price of $40, it sells 300 cakes perweek.(a) (2.5 points) Find a...
- Q Solve the linear programming problem. Maximize z=15x+15y ,Subject to 9x+7y greater than or equals 153 , 13x-11y greater thanor equals 31 , x+y less than or equals 43 , x,y...
- Q Find the relative extrema, if any, of the function. Use the secondderivative test, if applicable. (If an answer does not exist, enterDNE.)g(x)=x^3-6xrelative maximum  (x, y) = (    ,    )relative minimum  (x, y) =...
- Q Determine whether the series converges absolutely,conditionally, or not at all.∞n = 1(−1)n1 +n3
- Q a. Find the​ nth-order Taylor polynomials of the given functioncentered at the given point​ a, for n = ​0, ​1, and 2.b. Graph the Taylor polynomials and the function.f(x) =...
- Q A rectangular tank with a square​ base, an open​ top, and avolume of 1372 ft cubed is to be constructed of sheet steel. Findthe dimensions of the tank that has...
- Q Â a) Find an equation of the plane tangent to the graph of f at the given point P. Write your answer in the form ax + by +cz= d, where...
- Q List all of the values of the sine function that you know.Remember that values of sin(x) repeat every 2Ï€ radians, so youranswer should include infinitely many values.
- Q A plane flying horizontally at an altitude of 5 mi and a speedof 470 mi/h passes directly over a radar station. Find the rate atwhich the distance from the plane...
- Q You want to build a rectangular box in such a way that the sum of the length, width and height is 24 cm.a) Define the equations so that the dimensions...
- Q A fence is to be built to enclose a rectangular area. The fencealong three sides is to be made of material that costs $5 per foot.The material for the fourth...
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