MATHS HOME A 41. If f (x) = f[ta (A) 3-e^/4 4 J'a (B). tan((nx) +- dx & f(1) = 0, then f (e/4) is - 3-e/4 (C)- 4 (3+e/4) 4 (D) infinitely many e/4 +3 4
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- Show mathematically that MRS is increasing for U=1-ex +e2y and is diminishing for U=lnX +LnY4. If the secant method is used on f(x) = x^5 +x^3 +3 and if x_(n-2) = 0 and x_(n-1) = 1, what is x_n?The revenue per month earned by the Couture clothing chain at timetisR(t) =N(t)S(t),whereN(t) is the number of stores andS(t) is the average revenue per store per month. Couturereleases a statement to their investors saying that currently they have 50 stores with a total revenueof$7,500,000 and expect to increase the number of stores by about 2 stores per month and increasetotal revenue by about$250,000 per month. What does this statement imply about the current rateof change of the average revenue per store per month?
- Find the critical points of f (x) = 2 cos 3x + 3 cos 2x in [0, 2π]. Check your answer against a graph of f .Jesaki Inc will sell N units of product after spending $x thousand in advertising, as given by N= 66 x−x2. Use differential approximations to estimate the increase in sales that will result by increasing the advertising budget from $10,000 to $10,589. Round to the nearest integer. $The leading behavior h(infinity)(x) for h(x) = (1.3x+(x^3.2)+(e^2.4x))/(1.3+3.2x+(2.4x^2)) at infinity is h(infinity)(x) =
- Give the linear approximation L(x) of tan(πx) in x=1/4I am not sure how to set this up without a formula for y=f(x) and then having points.Let y : R → R be the real-valued function defined on the real line, which is the solution of the initialvalue problemy0 = −xy + x, y(0) = 2.Which statements are correct?a) The problem is not uniquely solvable.b) The solution y(x) contains an exponential function.c) limx→∞y(x) = 1d) limx→∞y(x) = 0