a) Consider the utility function of Carinwhere:(i)1/3U (9₁, 92) = 3 × q1/² × 912²2²91 = total units of product 1 that Carin consumes92 = total units of product 2 that Carin consumesU = total utility that Carin derives from her consumption of product 1 and 2Calculate the Carin's marginal utilities from product 1 and product 2.auმU(MUq₁ = and MUq2 =0q1даz'

Here we have to find marginal utilities of product 1 and 2

Answered: a) Consider the utility function of…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A poster consists of a printed area and margins(See image). The area of the entire poster is A = 600 square inches. The goal is to find the dimensions and y that maximizes the printed area. A = 3" The area of the printed part, as a function of x and y is Now, A'(x) = X = y = Use the substitution principle to rewrite the area as a function of x. Hint: You are given the area of the total poster. A = A(x) = To determine optimal values, we need to look at A'(x) = 0. Solving for x and, ultimately for y, yields inches inches 2" X O 2" one ore. te y What is the maximum area of the printed part? A = C 3" square inches
a) Describe the curve obtained when we make y= 2 and z = √2 a f b) Represent on this curve the partial derivative Click here to Download Image (GIF) at the point P(,1,√2)
Let f(x, y) = xex²-y and P = (13, 169). Calculate ||Vfp|l. (Express numbers in exact form. Use symbolic notation and fractions where needed.) || Vfp|| = Find the rate of change of f in the direction Vfp. (Express numbers in exact form. Use symbolic notation and fractions where needed.) the rate of change: Find the rate of change of f in the direction of a vector making an angle of 45° with Vfp. (Express numbers in exact form. Use symbolic notation and fractions where needed.) the rate of change:
A function f(x) satisfies f(-7.3) = 6.6 and f'(-7.3) = -8.8. What is the equation of the tangent line of f(x) at x = -7.3? a.y=--8.8x + -37.84 O b. y = -8.8x + -77.44 Oc. y = --8.8x + -97.24 Od. y = -8.8x + 84.04 Oe. y=--8.8x + 24.64 O f. y = -8.8x + -57.64
2. a) Estimate the instantaneous rate of change of the function at the tangent point (7,9) indicated on the graph. 15 10 (7,9) H 5 -5 23 3 10 15 20 25 30 85 wo b) What is the significance of a positive rate of change of the function at the tangency point? c) Find the average rate of change of the function on interval [7,20]. What does the average rate of change represent?
1) Let Y= x² Find cdf and PDF 2) Let Y= e', Find cdf and PDF 3) Let Y-2x+4, Find cdf and PDF

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