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3. Describe verbally how to solve y=mx+c. What assumptions have you made about the value
of ?
Added NOTE:
For question 3, students should just given a brief description, in writing, of how you would solve y=mx+c for x. Don't solve it, just say how you would do it and answer the remainder of the question as well.
Johnny is designing a rectangular poster to contain 48inches squared of printing with a 4-in margin at the top and bottom and a 3-in margin at each side. What overall dimensions will minimize the amount of paper used?
Find (i) ∫ 𝑑𝑥 𝑥(ln 𝑥)2
(ii) ∫ 𝑥√𝑥 + 1 𝑑𝑥
(iii) ∫ 𝑥(𝑥 2 + 3) 4𝑑𝑥 1 0
(iv) cos2 𝑥 sin3 𝑥 𝑑𝑥. Try 𝑡 = sin 𝑥
b. Discuss the possibilities for the number of times the graphs of two different quadratic functions intersect?
The combined dimensions of a passenger's carry on bag may not exceed 45 inches. That is the length, width and height of the suitcase can add up to at most 45 inches. Find the maximum volume of a rectangular suitcase that meets these requirements.
Find the extreme values of the function f(x,y) = 2x^2 + 3y^2 - 4x - 5
on the set D = {(x,y) : x^2 + y^2 < or = 16 }
Use Lagrange multipliers to find the maximum and minimum values of the function ( if they exist) subject to the specified constraint.
f(x,y) = 4x^2 + 9y^2 on the hyperbola xy = 6
