Please choose the 100% correct answer: Q#12) Find the area, in square units, of the region bounded by the the x axis and the function y = 25 - x^2. 32/3 36 256/3 500/3 972 none of these Q#13) Find the area under the curve y = 5e^-x - e^x , from x = 0 t
Please choose the correct answer: 10. Acme estimates marginal revenue on a product to be 200q^-1/3 dollars per unit when the level of production is q units. The corresponding marginal cost is 2q dollars per unit. Suppose the profit is $250 when the level of production is 1 unit. What is Acme's profit when 8 units are produced
Please choose the correct answer and show the process: 1. Find the equation of the tangent line to y = 2 ln x at the point where x = 8. y = x/2 - 1 + ln 2 y = x/2 - 1 + 2 ln 2 y = x/4 - 1 + ln 2 y = x/4 - 2 + 6 ln 2 y = x/8 - 1 + ln 2 y = x/8 - 1 + 2 ln 2 y = x/8 - 1 +
Please choose the correct answer: 5. Find an equation of the tangent line to the graph of the relation given by x^2 - 6xy + y^2 = -23 at the point (2, 3) . x + 4y - 14 = 0 4x + y - 11 = 0 11x + 4y - 34 = 0 7x + 3y - 23 = 0 17x + 8y - 58 = 0 none of these
Please choose the correct answers: 15. 2 ∫ (x - 1)^9 dx = 0 1/9 2/9 1/10 1/5 1/11 2/11 1/12 1/6 0 2/13 none of these 16. The market research department for a shampoo company has determined that
Please choose correct answer: 11. The average value of f(x) = 2x^3 - 5x on the interval [-4, 4] is (ln 2)/3 6/5 2/∏ 3/2 0 1 none of these 12. Find the area, in square units, of the region bounded by the the x axis and the function y = 9 - x^2.
Choose the correct answer: 9. ∫ (1/x)[ln (x)]^4 dx = (1/5)ln |ln x| + C (1/5)(ln x)^5 + C 5(ln x)^5 + C - 1/(ln x)^5 + C none of these 10. Acme estimates marginal revenue on a product to be 200q-1/3 dollars per unit when the level of production is q units. The corr
Choose the correct answer: Q#1) Find the equation of the tangent line to y = 2 ln x at the point where x = 8. y = x/2 - 1 + ln 2 y = x/2 - 1 + 2 ln 2 y = x/4 - 1 + ln 2 y = x/4 - 2 + 6 ln 2 y = x/8 - 1 + ln 2 y = x/8 - 1 + 2 ln 2 y = x/8 - 1 + 3 l
Q #4. Acme can produce DVD players at a cost of $140 each and market analysis estimates that if the players are sold at x dollars apiece, consumers in a region will buy approximately 2000e^-0.008x machines per week. At what price should the players be sold to maximize profit? Q #5. Find an equation of the tangent line to the
Which point on the line y = -2x + 2 is closest to (0,1)?
The differential equation y" = -ky - cy' is used to model a motion of a mass on a spring with damping, where k is the spring constant and c is the damping coefficient. a) Show the function y = e^-t cos 3t satisfies the differential equation y" = -10y - 2y'. b) Show the graph of y(t) (^ means exponent)
Find the values of x, for which the line tangent to the graph of f(x) = 1/3x^3 - 3/2x^2 - 11x + 4 is parallel to the line passing through the points (1,2) and (3,0)
Find an equation of the line tangent to the curve y = (sqrt)x - 2/x at x = 4. Make sure to show all steps.
Find an equation of the line tangent to the curve y = x^3 - 6x^2 at its point of inflection. (^ means exponent).
Introduce slack variables as necessary, and then write the initial simplex tableau for each linear programming problem. 1). Find x1 ≥ 0 and x2 ≥ 0 such that X1 + x2 ≤ 10 5x1 + 3x2 ≤ 75 and z = 4x1 + 2x2 is maximized 2. Production -Knives The Cut-Right Company sells set of kitchens knives. Th
Please see the attached file for the fully formatted problems.
Question 1: ----------- Quoting from the book: ----------------------------------------------------------------- Example 2. Form a differential equation by eliminating the constants c1 and c2 from the equation x 2x y = c1*e + c2*e Since there are two constants to eliminate, three equatio
1. Write a linear cost function for each situation. Identify all variable used. A parking garage charges 50 cents plus 35 cent per half-hour 2. Find the cost function in each case. Marginal cost: $90; 150 items cost $16,000 to produce. 3. Supply and Demand: Let the supply and demand functions for butter pecan ice cream b
(a) Also, we have (1) Pl is parallel to the x-axis, so Pl = DE (2) And (3) Substitute (2) and (3) to equation (1), we have Therefore, Then PF = r According to the definition of e, we have , so (*) The conversion between the polar and rectangular coordinates is (4) Therefore,
#4 and #5 See attached file for full problem description.
Attached are two problems, one with an answer that I don't understand how it was derived and one problem without the answer that I would like to see how it is solved. Power Series Methods - Introduction and Review of Power Series 14. Find two linearly independent power series solutions of the given differential equation.
Please see the attached file for the fully formatted problems. Find the particular solution of the differential equation satisfying the given conditions.
Find the particular solution for the differential equation subject to the given initial conditions. y' + 8 x^2 y = 4x^2 y(0) = 2
Find the particular solution of the differential equation subject to the given conditions. See attached file for full problem description.
3 x^3 y^2 dx - xy dy = 0
Verify that the function y=f(x) is a solution of the differential equation... Please see the attached file for the fully formatted problems.
Consider the "loop" formed by the parametric equations: x=t^2 ; y=t^3-3t a) estimate the perimeter of the "loop."
Take the total differential of the following: C=C(Y-T, M+B/P) What does this imply about DC>0 ?
56. Suppose that n does not equal to zero and n does not equal to one. Show that the substitution v = y1-n transforms the Bernoulli equation dy/dx + P(x)y = Q(x)yn into the linear equation dv/dx + (1-n)P(x)v(x) = (1-n)Q(x). 63. The equation dy/dx = A(x)y2 + B(x)y + C(x) is called a Riccati equation. Suppose that one parti
57. Show that the substitution v = lny transforms the differential equation dy/dx + P(x)y = Q(x)(ylny) into the linear equation dv/dx + P(x) = Q(x)v(x) 58. Use the idea in Problem 57 to solve the equation x (dy/dx) - 4x2y + 2ylny = 0 59. Solve the differential equation dy/dx = (x-y-1)/(x+y+3) by finding h and k so t