Basic Math question and answers for August 13, 2023
- Q Use the​ price-demand equation to determine whether demand is​elastic, is​ inelastic, or has unit elasticity at the indicatedvalues of p.x=f(p)=1500-5p^2; p=10
- Q 17) Graph f (x ) = (x+3)e^−x. Include any possiblelocal minimums or maximums, any inflection points, horizontalasymptotes, and vertical asymptotes.18) Find the dimensions of a rectangle with area 6400 ft^2...
- Q 7. The depth of water in a bay changes due to the tide. On oneparticular day, the depth can be modeled by ? = 6 cos (2Ï€/11) + 7,where ?...
- Q The Health Fare Cereal Company makes three cereals using wheat,oats, and raisins. The portions and profit of each cereal are thefollowing:Maximizez = 30x1 +70x2 +20x3,subject to32x1+40x2+63x3≤16002x1+2x2+x3≤404x1+12x2+3x3≤120x1≥0,x2≥0,x3≥0The company has 2320 pounds...
- Q Consider the vector field F(x, y) = <3 + 2xy, x2 − 3y 2>(b) Evaluate integral (subscript c) F · dr, where C is the curve(e^t sin t, e^t cost)...
- Q A box with a square base and open top must have a volume of32000 cm3. We wish to find the dimensions of the box that minimizethe amount of material used.Find...
- Q A projectile is fired with an initial speed of 150 m/s and angleof elevation 60°. The projectile is fired from a position 80 mabove the ground. (Recall g ≈ 9.8...
- Q 1. Two cars are moving on a road and both start at the sameplace at time ?=0. The velocity of car number 1 is given by?1(?)=sin?+1 and the velocity of...
- Q In the function f(x) = 5x4-2x2-27 find the following:a) their critical valuesb)local maximum and minimum pointsc)The intervals where the concavity is up and downd) draw the graph and mark on...
- Q 6. The cost equation for a certain company is given byC(q) = 0.5q3 − 162q2 + 13500q,where q is the quantity of items produced and the cost, C, isgiven in...
- Q Write parametric equations for each of the following curves.(a) The straight line segment traced from (3,2) to (5,8) as tgoes from 0 to 1.(b) A circle centered at (3,2), of...
- Q Company MNO generates between 11000 and 15000 million dollarsrevenue per year. Suppose that the company's revenue stays withinthis range. Use an interest rate of 9.75% per year compoundedcontinuously. Fill in...
- Q Consider F and C below.F(x, y, z) = yz i + xz j + (xy + 14z) kC is the line segment from (3, 0, −1) to (6, 4, 2)(a)...
- Q 1) Suppose you invest $200 per month for a period of 30 years.a) How much money would you have at the end of the 30 year period,assuming that the yearly...
- Q It is clear that the angle of section of a cone will affect theshape of the resulting ellipse or hyperbola. We know that the shapeis determined by the eccentricity. Find...
- Q suppose a woman has decided to retireas soon as she has saved$1,000,000. her plan is to put $600 each month into the ordinaryannuity that pays an annual interest rate of...
- Q A particle, initially at rest, moves along the x-axisso that its acceleration at any time t ≥ 0 is given by a(t) =12t2−4 . The position of the particle when...
- Q The equation of a curve is 2x4 + xy3 +y4 = 10.i) Show thatdy/dx=(8x3+y3)/(3xy2+4y3).ii) Hence show that there are two points on the curve at whichthe tangent is parallel to...
- Q 8. The price p (in dollars) and the demand x for a particularwool sweater are related by the equation p = 100 − 0.025x a. Findthe domain of this function....
- Q Multiple Means of Representation Learners perceive andcomprehend information differently. Your goal in this section is toexplain how you would present content in various ways to meet theneeds of different learners....
- Q f(r,?)f(x,y)r(cos(?))= xr(cos(2?))= ?r(cos(3?))=x3-3xy2/x2+y2r(cos(4?))= ?r(cos(5?))= ?Please complete this table. I am having trouble convertingfunctions from polar to cartesian in the three dimensionalplane.I understand that x=rcos(?) and y=rsin(?) and r2 =x2 +...
- Q Farmers wishing to avoid the use of purchased seeds areincreasingly concerned about inadvertently growing hybrid plants asa result of pollen drifting from nearby farms. Assuming that thesefarmers raise their own​...
- Q Summarize the pertinent information obtained by applying thegraphingstrategy and sketch the graph of f(x)=-2x/(x-1)^2Part 1: Find the​ x-intercepts of​ f(x). Select the correctchoice below​ and, if​ necessary, fill in the...
- Q The profit P, in thousands of dollars, that a manufacturer makesis a function of the number N, in thousands, of widgets produced ina year, and the formula is P(N)= 10N-N2-6.34....
- Q Mr. Smith is purchasing a $ 160000 house. The down payment is 20% of the price of the house.He is given the choice of two mortgages:a) a 20-year mortgage at...
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