write clearly please 4. Which points on the graph of y = 5 – x2 are...
Which points on the graph of y=4-x2 are closest to the point (0,2)?
4. 5. (a) Sketch the region bounded by y- +2x-4, y-x2+4x-4 clearly indicating vertices on the graph, (b) Draw the area element AA on the graph and find a general expression for A4. (c) Set up a definite integral for A and find the area.
4. 5. (a) Sketch the region bounded by y- +2x-4, y-x2+4x-4 clearly indicating vertices on the graph, (b) Draw the area element AA on the graph and find a general expression for A4. (c) Set...
multivariable
calculus please write clearly
Prob. 3 (a) (10 points) Let f(x, y, z) = cos(x2) + xey2 – 2x²y?. Compute V.Of. (b) (10 points) Evaluate x² + y² + 2² <9, 220. 32 + y2 + z2 dV, where is the upper hemisphere
Which point on the graph of y Vx is closest to the point (7, 0)? 4.
Which point on the graph of y Vx is closest to the point (7, 0)? 4.
4.) Let X1, X2 and X3 be independent uniform random variables on [0,1]. Write Y = X1 + X, and Z X2 + X3 a.) Compute E[X, X,X3]. (5 points) b.) Compute Var(x1). (5 points) c.) Compute and draw a graph of the density function fy (15 points)
Cal 4
, ) and use this to 6. Let f(x,y) = x2 + y2 + 2x + y. (a) Find all critical points of f in the disk {(x,y) : x2 + y2 < 4). Use the second derivative test to determine if these points correspond to a local maximum, local minimum, or saddle point. (b) Use Lagrange multipliers to find the absolute maximum/minimum values of f(x, y) on the circle a2 +y -4, as well as the points...
6. Match the following equations to the graph that represents it. [4 Points] Equation A: y = x2 + 2 Equation B: y = -x + 2 Equation C: y = (x - 2)2 Equation D: y = 2x2 y 37 Y 3 -3 3 X -3 LL 3 3 x -11 Equation: Equation: Equation: Equation: 7. Let f(x) = Vx. Write the equation for the resulting function when the following transformations are performed in order) onf (x): [3 Points]...
show work and write clearly please
2 23 dx Jo x2-4 Evaluate the following improper integral
PLEASE WRITE NEATLY.
Given: U(x2)min(3x, ,6x2) P = 4, P-5, 1-20 a) Graph two indifference curves for this utility function. b) Write the function for the budget constraint and graph it c) What are the utility maximizing amounts of x, and x, given the budget constraint? d) Would your answer change if the utility function were U(x1,x2)-min(x,,2%)? Why or why not?