Basic Math question and answers for July 17, 2023
- Q Question : y''=4y'+8y=0 , (y''-4y'+13y)^2=0 , (y''+2y'+2y)^2=0,y''-6y'+13y=0,y(0)=3 , y'(0)=13 , 2y''-6y'+17y=0,y(0)=2,y'(0)=13
- Q Let F(x,y,z) = < z tan-1(y2),z3 ln(x2 + 1), z >. Find the flux of Facross S, the top part of the paraboloid x2 +y2 + z = 2 that...
- Q Exercise 2.5.1 Suppose T : R n ? R n is a linear transformation.Prove that T is an isometry if and only if T(v) · T(w) = v · w.Recall...
- Q Consider the function f(x)= 1 + 1/x - 1/x2Find the domain, the vertical and horizontal asymptotes,the intervals of increase or decrease, the local minimum andmaximum values, the intervals of concavity...
- Q Find ??, ?? and ?? of F(x, y, z) = tan(x+y) + tan(y+z) – 1
- Q (1 point) Please answer the following questions about thefunction f(x)=5x2x2?9.Instructions: If you are asked for a function, enter a function.If you are asked to find x- or y-values, enter either...
- Q The amount of money in an investment is modeled by the functionA(t)=650(0.943)t. The variable A represents the investment balancein dollars, and t the number of years since 2006.(A) In 2006,...
- Q Determine whether the statement is true or false. If it isfalse, explain why or give an example that shows it is false.If f(c) = L,then lim x?c f(x) = L.False....
- Q A company produces a special new type of TV. The company hasfixed costs of $471,000 and it costs $1200 to produce each Tv. Thecompany projects that if it charged $2300...
- Q Given the following Axioms of Fano's geometry:1. There exists at least one line2. Each line is on exactly 3 points3. Not all points are on the same line4. Each pair...
- Q Prove that the product of a rotation and a translation is arotation.
- Q Find the solution.y'' + 2y' + 0.75y = 2cosx - 0.25sinx + 0.09x , y(0) = 2.78 ,y'(0) = -0.43
- Q 1) A tank is full of water. Find the work W required topump the water out of the spout. (Use 9.8 m/s2 forg. Use 1000 kg/m3 as the weight density...
- Q Find the point of intersection of the lines (x-2)/- 3 = (y-2)/6= z-3 & (x-3)/2 = y+5 = (z+2)/4. Write the answer as (a, b, c).If they are not cut,...
- Q 2.) (12 pts.) Show that F = ( xy/(1+x^2y^2) + 1 + arctan(xy))i+(x^2/(1+x^2y^2-1)j is a conservative vector field. Then use theFundamental Theorem for Line Integrals to find the Work done...
- Q Tickets to a local movie were sold At $4 for adults and $2.50 forkids. There were 480 tickets sold for a total of $1680. How manyadult tickets and how many...
- Q create a speaker box with a volume of 14400 cubicinches. The box will be used for speakers of varioussizes. The speaker box must have a square base and minimal surfacearea...
- Q Jade has $24,500 to invest. She decides to divide itinto the three accounts listed. At the end of the year, she hasearned $1,300 in interest. If the amount invested in...
- Q Suppose you have a trapezoid a vertical height of H with bottomand top widths of B and T. Suppose we draw a line of height h thatis parallel to the...
- Q 1. Solve by separation of variablesyy'= xy2 + x, y(1)=0a. Solve by the integrating factor methodxy'+(x+2)y = ex b. Solve the Bernoulli’s Equationx2y'?3y2 +2xy = 0, y(2) =5c. Solve by undetermined...
- Q find the limit as k approaches infinity of [1+(1/10^k)]^10kstep by step using the l'hospital
- Q A) Using a calculus approach, sketch p(x) = -3*x^2 –300x – 140.B) What is the largest rectangle that can be inscribed inside thecurve, if two of its sides are on...
- Q Find the equation of the tangent plane and theparametric equations for the normal line to the surfacex2 + y2 - z = 0 at the point P(4,-1, 6).Show all steps
- Q A fast-food restaurant determines the cost and revenue modelsfor its hamburgers.Afast-food restaurant determines the cost and revenue models for itshamburgers.C=0.8x + 7100, 0 ?x ? 50,000R=110,000(66,000x ?x2), 0 ?x ? 50,000(a) Write...
- Q A company uses TV and magazines for advertising. They know thatprofit P is related to. the amounts T spent of TV and M spent onmagazines by the equation P= 24MT...
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