Basic Math question and answers for August 15, 2023
- Q Match the slope field related to the eigenvectors of thefollowiing systems of differential equations:x1'=x1+x2x2'=-x1-x2
- Q 1. The percentage of automobile consumers who are under50 years of age decreased approximately linearly from 56.1% in 1990to 51.3​% in 2005.a. Predict when the percentage will be42​%.b. Predict the...
- Q (3) (1.1: Geometry) For each part below, give an example of alinear system ofequations in two variables that has the given property. In eachcase, draw the linescorresponding to the solutions...
- Q A population of 50 mice was introduced into a field where therehaven't been any mice before. Even though they had to deal withpredators, the population grew at 2% per month.1....
- Q Maximizez=x+4ySubject to2x+6y<= 364x+2y<= 32x>= 0y>= 0Maximum is ___________ atx = ______y = ______
- Q Given that in a triangle a=26 b=21 and c=14, choose the order ororders you should find the angles using the Law of Cosines to findthe first angle, followed by the...
- Q Prove that, in hyperbolic geometry, for each point P and a linel not containing P, there are infinitely many lines through Pparallel to l.
- Q Solve the system of equations:x+y^2=6yx-2y=-5
- Q Given the conic section written in generalform:Â Â 25x^2 + y^2 + 50x - 10y + 25 = 0FIND:Part a) Identify which type of graph the conic section has.Part b) Now rewrite...
- Q (a) Solve the given equation. 2 cos2(theta) + sin(theta) =1theta= ____(b) The measure of an angle in standard position is given. Find two positive angles and two negative angles that...
- Q Is the following map linear?a) F(x1,x2,x3)=(0,0)b) L:R2→R2 defined by L(x1,x2)=(3x1−2x2,x2)c) f:R→R defined by f(x)=2x
- Q Let S be the set of vectors in R4S ={(1,1,-1,2),(1,0,1,3),(1,-3,2,2),(0,-2-1,-2)}(a) State whether the vectors in the set are linearlyindependent.(b) Find the basis for S.(c) Find the dimension of the column...
- Q A toy tractor sold for ​$203 in 1977 and was sold again in 1989for $ 466. Assume that the growth in the value V of the​collector's item was exponential.a. )...
- Q Let T : Pn → R be defined by T(p(x)) = the sum of all the thecoefficients of p(x). Show that T is a linear transformation withdim(ker T) = n...
- Q The following matrix is in reduced row echelon form. Decode fromthe matrix the solution of the corresponding system of linearequations or state that the system is inconsistent. (If the systemis...
- Q Write a brief account of the role of Euclid’s Fifth Axiom in thedevelopment of Geometry.
- Q Assume the reader understands derivatives, and knows thedefinition of instantaneous velocity (dx/dt), and knows how tocalculate integrals but is struggling to understand them. Usestudents’ prior knowledge to provide an explanation...
- Q The table shows the estimated percentage P of thepopulation of a certain country that are mobile-phone subscribers.(End of year estimates are given.)Year199719992001200320052007P2.18.215.72545.762.5(a) Find the average rate of change of P.(i)...
- Q Solve by gaussian methodx-y=-1x-z=-66x-2y-3z=-18
- Q 3. Solve the following system of equations.5x- y+ z= -42x+ 2y-3z= -6x-3y+ 2z= 0Select the correct choice below:A. There is one solution. The solution is(Â Â Â Â ).B. There are infinitely many...
- Q Find the vertical and horizontal intercepts of eachfunction.7. f(t)= 2 (t-1) (t+2) (t-3)12. C(t)= 4t^4+12t^3-40t^2
- Q Find the general solution y(t) to the following ODE using ONLYthe Variation of Parameters:y\"+4y'-2y = 2x2-3x+6
- Q Section 3.3 Product and Quotient Rules and Higher-OrderDerivativesFind the derivative of the function  g(s)=√s(s^2+8)  g(x)=√x sinâ¡x  f(x)=x^2/(2√x+1)  f(t)=cosâ¡t/t^3  y=secâ¡x/x  f(x)=sinâ¡x cosâ¡x  y=(2e^x)/(x^2+1)Find equation of the tangent line to the graph...
- Q Kevin is organizing luxury bus tickets to Lynnwood fromShoreline. If the ticket price is $200, then Kevin can sell 80tickets. For each five dollars Kevin increases the price, one fewerticket...
- 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...
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