Basic Math question and answers for July 06, 2023
- Q Find f(x) if f is a linear function that has givenproperties.f(-1)=1, f(3)=9f(x)=
- Q Solve the following system. If the? system's equations aredependent or if there is no? solution, state this.3x - 4y -z = 92x + 2y + z = 05x - 2y...
- Q (b) Find the equation ofthe tangent line to the curve 8x^2y^3-5x^2+7y^3=10(x-3y), at the point (2,-2). (c) GivenT''=6x^2y^3-cosx+5y^2-siny+10x^2-e^-3x; determine:T'=?(T'')?x T'=?(T'')?y (d) Solve the equation cosecxcosydy-10xdx=0 ,separably.
- Q Use Newton's Method to approximate the zero(s) of the function.Continue the iterations until two successive approximations differby less than 0.001. Then find the zero(s) to three decimal placesusing a graphing...
- Q A mass of 1 slug is placed on a vertical spring with constant k = 16 lb/ft. Starting at t = 0 a force equal to f(t)= 8sin(4t) is applied...
- Q A mass weighing 20 pounds stretches a spring 6 inches. The massis initially released from rest from a point 8 inches below theequilibrium position.(a) Find the position x of the...
- Q An investment offers an onetime bonus of 2% of the principalafter being invested for 5 years. If $50 000 is invested at 4.75%compounded annually for 10 years, describe how the...
- Q You run a small furniture business. You sign a deal with acustomer to deliver up to 600 chairs, the exact number to bedetermined by the customer later. The price will...
- Q A. Find the region bounded by the curves y = (x?3)^2 and y =12?4x. Show all of your work.B. Find the equation of the tangent line to the curve 5x^2...
- Q Solve the given equation.(tan2(?) ? 16)(2 cos(?) + 1) = 0? =
- Q Suppose a particle is moving right and left in a straightline. Its position, in centimeters, at time t seconds is given bythe function s(t) = ?t3 + 12t2 ? 21t....
- Q (a) Let ? be a real number. Compute A ? ?I.(b) Find the eigenvalues of A, that is, find the values of ? forwhich the matrix A ? ?I is...
- Q In general, do not use any derivative rules ( as power rule,etc.). Find the derivative of the following functions at the point"a" by computing average rate of changes for h...
- Q For this parametrized curve:x = e^(2t) sin t , y = cos(4t)find tangent line to curve when t=1
- Q Verifica si las ecuaciones diferenciales son exactas, de noserlo calcula el factor integrante. En ambos casos resuélvelas:(5t^4 y-15t^2-y)dt+(t^5+3y^2-t)dy=0, y(1)=-2cos??(x)? dx+(1+2/y) sin?x dy=0
- Q x^2y''+2xy'+x^2y=0Determine yif y1=(sin(x))/x
- Q Prove: A quadrilateral is a square if and only if its diagonalsare congruent and bisect each other at right angles.
- Q Find the solution of the given initial value problem:y^(4)+2y???+y??+8y??12y=12sint+40e^?ty(0)=0,y?(0)=38/5, y??(0)=4/5, y???(0)=?54/5
- Q The population of bacteria? (in millions) in a certain culture xhours after an experimentalnutrient is introduced into the culture is?P(x)=25x/6+x^2.Use the differential to approximate the changes in populationfor the following...
- Q Consider the following homogeneous linear system: x1 + 2x2 + 7x3? 9x4 + 31x5 = 0 2x1 + 4x2 + 7x3 ? 11x4 + 34x5 = 0 3x1 + 6x2...
- Q Find the local maximum and minimum values and saddle point(s) ofthe function. If you have three-dimensional graphing software,graph the function with a domain and viewpoint that reveal all theimportant aspects...
- Q 1-The sum of two numbers is 34. a)Find the largest possible product of these numbers. b)What would be the largest possible product if the sum if the two numbers were...
- Q For problems 1-4 the linear transformation T/; R^n -R^m is defined by T(v)=AV withA=[-1 -2 -1 -12 1 0 -44 6 1 15]1. Find the dimensions of R^n and R^m (3...
- Q y=?1-x)e^xUse the "Guidelines for sketching a curve A-H"A.) DomainB.) InterceptsC.) SymmetryD.) AsymptotesE.) Intervals of increase or decreaseF.) Local Maximum and Minimum ValuesG.) Concavity and Points of InflectionH.) Sketch the Curve
- Q c(x)=74,000+60x and P(x)=300-x/30, 0<x<9000.a: max revenueb: max profit, production level that will realize the maxprofit and the price the company should charge for each setc: gov. taxes $5 for each...
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