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12y2 for 0 <y sxs1 f(x,y) = 0 0. W. 4x3 for 0 SX S1 (12y2(1 - y) for 0 sys1 fx(x) = -2230 {*. and fr(y) = 0.w. 0. W. 1 25 2 Also, Var(X) 75 and Var(Y) (a) Find E(XY). (b) Find Cov(X,Y). (c) Find Var(X-Y).
Use the quadratic formula to solve the following equation. This 5y = 7y2 - 2
Find the derivative of each one. a. y = (tan(x2 + 1))4 + 5 In Vx b. с. У-(sin x)cos x a. y = (tan(x2 + 1))4 + 5 In Vx b. с. У-(sin x)cos x
(i) Find the area of the region bounded by the curves x = y 5y+6 and x =-y +y+6 Q.2 A. (1) Find the area of the region bounded by the curves x = y2 - 5y +6 and x=-y+y+6 (2 Marks) In(tan x) (ii) Evaluate lim (3 Marks) sinx-cosx B. (1) Evaluate |fxsin(xy dydx (3 Marks) X- (1) Evaluate lim * (11) Evaluate tan lim- (2 Marks) 2 Marks) - tan
Quadratic approximation: Cubic approximation: 2 near the origin Use Taylor's formula for f(x,y) at the origin to find quadratic and cubic approximations of f(x,y) = 7- x-V The quadratic approximation for f(x,y) is 2 near the origin Use Taylor's formula for f(x,y) at the origin to find quadratic and cubic approximations of f(x,y) = 7- x-V The quadratic approximation for f(x,y) is
#5 4) Suppose total benefits and total costs are given by B(Y)= 600Y-12Y2 and C(Y) = 20Y2. What level of Y will yield the maximum net benefits? A) 300/64 B) 600/32 C) 300/8 D) 600/64 5) At what level of output does marginal cost equal marginal revenue? Total Revenue Total costs No. units produced 0 100 4 380 C) 3 B) 4 D) 2 A) 1 the interest rate is 3 percent, the present value of $900 received at the...
estion 7 of 16> The quadratic formula is used to solve for x in equations taking the frm of a quadratic cquation, ar' + br + e-O quadratic formula: x Solve for x in the expression using the quadratic formula 2x2 + 29x-8. Use at least three significant figures in each answer. and x = 5 6 8 9
In the formula Y = F + VX, X refers to the a.dependent variable. b.independent variable. c.slope. d.intercept.
3. Sketch the graph of the curve y vx' -5x + 6 = x (x-2)(x-3).
Q5. [8pnts] Use Taylor's formula to find a quadratic approximation of the function f (x, 3) e-2y 1+22-y HE2-7 at the origin. Estimate the error in the approximation if ㈣く.1 and lyl < .1. Q5. [8pnts] Use Taylor's formula to find a quadratic approximation of the function f (x, 3) e-2y 1+22-y HE2-7 at the origin. Estimate the error in the approximation if ㈣く.1 and lyl