Basic Math question and answers for July 13, 2023
- Q 2.) g(x) = 4?x ? x22f.) Label each critical value as a local maximum or minimum.Show Work.Local Maximum(s) at x = ____________ Local Minimum(s) at x =____________2g.) Determine the intervals...
- Q a) State the definition that a function f(x) is continuous at x= a. b) Let f(x) = ax^2 + b if 0 < x ? 218/x+1 if x > 2If...
- Q use the a) midpoint rule, b) Trapezoidal rule, and c) theSimpsons rule to approximate the given integral with the value of nand round to 4 decimal placesintegral (from 0 to...
- Q An equation of a hyperbola is given.y^2/36 - x^2/64 = 1(a) Find the vertices, foci, and asymptotes of the hyperbola.(Enter your asymptotes as a comma-separated list of equations.)vertex(x, y)=(smaller y-value)vertex(x,...
- Q Solve the following system ofequations using LU factorization without partialpivoting:2x1 - 6x2 - x3 =-38-3x1 - x2 + x3 =-34-8x1 + x2 - 2x3 =-20
- Q 5.22.Determine the standard form of the following conics:(a) 13x^2 ? 10xy + 13y^2 ? 12?2x + 60?2y + 72 = 0.(b) 6x^2 + 12xy + 6y^2 ? 35?2x ? 37?2y...
- Q A Toyota Prius is a full hybrid electric automobile that costs$30,000 with 55 mpg. A Toyota Yaris is a normal car that runs ongasoline, and costs $15,000 with 35 mpg....
- Q Find the center of mass of a thin plate of constant densitydelta covering the given region. The region bounded by the parabolax= 6y^2 -3y and the line x= 3y. Please...
- Q A pig farmer wants to enclose a rectangular area and then divideit into four pens with fencing parallel to one side of therectangle (see the figure below). There are 900...
- Q Explain in your own words, what can happen if D = 0 (HessianDeterminant).Given in particular an example where we have a maximum, where wehavea minimum, or where we have neither...
- Q Find the eigenvalues?nand eigenfunctionsyn(x)for the given boundary-value problem. (Give your answers interms of n, making sure that each value of ncorresponds to a unique eigenvalue.)y'' + ?y = 0, y(0) =...
- Q 1. A 100-gallon tank initially holds 50 gal of brine containing5 pounds of salt. Brinecontaining 1 pound of salt per gallon enters the tank at the rateof 4 gal/s, and...
- Q Solve for? Y(s), the Laplace transform of the solution? y(t) tothe initial value problem below.y"-6y'+9y=cos 2t- sin 2t , y(0)=6, y'(0)=3
- Q Find the absolute maximum and minimum values of f on the set D.Also note the point(s) where these absolute maximum and minimumvalues are located. f(x, y) = 9x^2 + 36x^2...
- Q A shelf in the Metro Department Store contains 95colored ink cartridges for a popular ink-jet printer. six of thecartridges are defective. (a) If a customer selects 2 cartridges atrandom from...
- Q Suppose a ball has a maximum height of 24 feet after 11 secondsof travel. This same ball will have a height of 8 feet after 20seconds of travel. FindUpper H...
- Q For the function ?(?) = 2? 3 + 9? 2 ? 108? + 30 find thefollowing (round to the nearest thousandth if needed):a. Interval(s) where the function is increasingb. Interval(s)...
- Q Find the relative maximum and minimum values.a. f(x,y)=x^3-6xy+y^2+6x+3y-1/5Relative minimum: ________ at ________Relative maximum: ________ at ________b. f(x,y)= 3x-6y-x^2-y^2Relative minimum: ________ at ________Relative maximum: ________ at ________
- Q (2) A matrix A is given. Find, if possible, an invertible matrixP and a diagonal matrix D such that P ?1AP = D. Otherwise, explainwhy A is not diagonalizable.(a) A...
- Q Suppose that A is a triangle with integer sides and integerarea. Prove that the semiperimeter of A cannot be a primenumber.(Hint: Suppose that a natrual number x is a perfect...
- Q Find f.f ''(x) = x?2, x >0, f(1) = 0, f(4) =0f(x)=
- Q One year, an accountant prepared individual income tax returnsfor 439 clients. For these individual tax returns, completion ofthe following schedules was required: 298 required schedule A(itemized deductions), 256 required schedule...
- Q Explain in detail how anthracene will mix with toluene
- Q How far down (from a vertex) along each diagonal do thediagonals of a parallelogram intersect?
- Q 1.You are given the graph of a function f defined on theinterval (?1, ?). Find the absolute maximum and absolute minimumvalues of f (if they exist) and where they are...
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