Let f(x)=3+x^2+tan(pie*x/2), where -1<x<1. a. find f-1(inverse) of (3) b. find f(f-1(5))
Differential Equations From Existence and Uniqueness of Solutions
Text Book:- Advance Calculus, Author: - Taylor & Menon, Page 127. Questions: - 1, 2, 3 , 8 & 10.
Find the difference quotient f(x) = 1/1-x
Please see the attached file for the fully formatted problems. Suppose that S satisfies: dS = a(S,t)dt + b(S,t)dX Show that for any functions g1(S,t) and g2(S,t), the following is true: (Note: I don't know if Itô's lemma is used in the proof or if you can use some Calculus identity or rule to determine the proof.
Lim x-->3 x^2 - 25 / x^2 - 5 =
Please choose the correct answer: 1. Let f(x) = 2x^2 + 11x + 15 and g(x) = 2x^2 + 9x + 9. Then lim f(x)/g(x) = x=>-3 5/3 4/3 1 2/3 7/9 4/9 5/7 4/7 3/4 9/4 9/10 none of these
Please choose the correct answers (Indicate final answer) 8. lim (2x^3 - 7x^2 + 3x - 4)/(3x^3 + 5x - 6) = x=>oo 2/3 3/2 0 1 -1 oo none of these
Homer Simpson lies directly in the path of the flame-spewing juggernaut, with only the meager acceleration of the family station wagon standing between him and utter destruction. Assume Homer's velocity (in feet per second) is given by the equation: V(t)=t^3-4t^2-t-x+1 , where t is measured in seconds and . Answer the f
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 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 t
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)?
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.
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
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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
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See attached file for full problem description. Do numbers 4 and 5, please.
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."