Basic Math question and answers for July 10, 2023
- Q Mary has on her bookshelf 5 novels, 4 biographies, and 8textbooks.Mary wants to take a fiction and a non-fiction book with her ona short trip.(a) How many different ways can...
- Q why is agenda setting accurate and fruitfull?
- Q . Let f(x) = 3x^2 + 5x. Using the limit definition of derivativeprove that f '(x) = 6x + 5Then, Find the tangent line of f(x) at x = 3Finally,...
- Q Parameterize the given curves:a) The ellipse in the plane x=11 centered at the origin andgoing thru the points (+/- 7,0) and (0,+/- 3) from the perspectiveof the yz-plane.b) The circle...
- Q Evaluate the improper integral or state that it isdivergent.
- Q The position of a point on a line is given by the equation(t)=t3-6t2+9t-4, where s is measured in metres and t in seconds. Whatis the velocity of the point after...
- Q A new virus strain starts out with one infected individual andpasses on to others in such away that the number of infected individuals triples every fourdays. Assume that there is...
- Q Calculate the double integral??Rxcos(x+y)dA??Rxcos?(x+y)dA where RR is the region:0?x??3,0?y??2
- Q a) do the laplace transform to;x(t)= e^2t . sin(3t) . sin (t)b) do the inverse laplace transform to;x(s) = (3s-5) / ( (s+1).(s^2+2s+5) )
- Q You have designed a new style of sports bicycle!Now you want to make lots of them and sell them for profit.Your costs are going to be:$700,000 for manufacturing set-up costs,...
- Q how do you find the range of the following equationsy=(x^2+3x)/(x^2-4) (the range y can't equal zero please explain howto get the answer because I assumed it's the coefficient of x^2divided...
- Q Answer the following questions:Part A: Volumes of Revolutiona) Find the volume of the solid obtained when the region boundedby y = 1/x , and the lines x = 1, x...
- Q can you find a linear homogeneous constant-coefficient DE andsuch that x.e^(-2x).sinx is a solution.Write the answer in a.y''' + by'' +cy'+dy=0
- Q a) Find the equation of the normal line at the point (?2, 1 ? 3)to the ellipsoid x2 /4 + y2 + z2 /9 = 3b) Find a plane through...
- Q How do I find the missing sides of an isoscelestrapezoid?
- Q (27) Give an example of an infinite incidence geometry (i.e. anincidence geometry with an infinite number of points and aninfinite number of lines).
- Q Maximize 250 + 7x ? 5y subject to:2x + 3y ? 902x+ y?62x+ y?20x ? 0, y ? 0
- Q The population of Egypt in 2002 was 73,312,600 and was78,887,000 in 2006. Assume the population of Egypt grewexponentially over this period. Determine the 4-year growth factor andpercent change.Determine the 1-year growth...
- Q y''+4y'+4y=2e^{-2x} Find general solution.
- Q For f(x)=9x+5 and g(x)=x2 find the followingcomposite functions and state the domain of eacha) f o g b) g o f c) f o f d) g o ga. the...
- Q Find the Radius and center of the sphere. 2x2+2y2 + 2z2 + x + y + z = 9
- Q T/F and why(true/false)?(Part a) If the partial derivatives fx(x,y),fy(x,y) exists for all values x,y ,then f(x,y) iscontinuous.(Part b) Suppose f(x,y) is a function which is differentiableand nonnegative everywhere, and is...
- Q For the functiona) f(x)=x^3-9x^2+23x-15b)f(x)=(x+3)^2(2x+1)(x-1)c)f(x)=-(x^2-6x+9)(x^2-x-6)Find:1) the zeros2) the y-intercept3) left-right end behavior4) the sketch of the graph
- Q We got for x > 0 given a differential equation y’ = 1-y/x,with start value y(2)= 2Find the Taylor polynomial of first and second degree for y(x)at x =2.Show that...
- Q solve using series solutions(x^+1)y''+xy'-y=0
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