Match each function with its graph. Give reasons for your choices. 1. / (x,y) = 1...
Consider the function below. y z= 2+x+ (a) Match the function with its graph (labeled A-F). (b) Match the function with its contour map (labeled 1-VI). O V VI Give reasons for your choices. Select- Also, the values of z approach 0 as we use This function is not periodic, ruling out the graphs in (b) Match the function with its contour map (labeled I-VI) II III IV V VI Give reasons for your choices. This function is not periodic,...
By inspecting a graph of y = sin x, determine whether the function y = sin x is increasing or decreasing on the interval The function y=sin x is on the interval By inspecting a graph of y = sin x, determine whether the graph is concave up or concave down on the interval (1,21). The graph is on the interval (1,21). Minimize f(x,y)= x2 + xy + y2 subject to y = 20 without using the method of Lagrange...
3)If w = x2 + y2 + z2 ; x = cos st, y = sin st , z = sat find 4)Find the minimum of the function f(x,y) = x2 + y2 subject to the constraint g(x, y) = xy - 3 = 0 5)Find the first and second order Taylor polynomials to the function f(x,y) = ex+y at (0,0). 6) Let f(x, y, z) = x2 – 3xy + 2z, find Vf and Curl(f)
Match the function with its graph. COS X 1)y-sinx2) y = ਹੈ। 3) y | sinx4) y = cos x A) B) ਹੈ C) D)
All of 10 questions, please. 1. Find and classify all the critical points of the function. f(x,y) - x2(y - 2) - y2 » 2. Evaluate the integral. 3. Determine the volume of the solid that is inside the cylinder x2 + y2- 16 below z-2x2 + 2y2 and above the xy - plane. 4. Determine the surface area of the portion of 2x + 3y + 6z - 9 that is in the 1st octant. » 5. Evaluate JSxz...
QUESTION 1 Match the glven function to its graph. 1) y = sinx 2) y = COS X 3) y = -sinx 4) y = -COS X А B 2+ TAA - 70 27 -1 + 2+ -3 31 С D 31 2+ AAA AA 27 2 -2- -3 31 1A, 2D, 3C, 4B 1C, 2A, 3B, 4D 1A, 2B, 3C, 4D 1B, 2D, 3C, 4A
DIVERGENCE THEOREM Evaluate using the DIVERGENCE theorem Let S be the denote the portion of the graph of the function z-x2 + y2 between the heights 3 and 5. A parameterisation of this surface is r(u, u) = (u cos u, u sin u, t,-) with u E [0, 2π] and u ε [V3, V5]. Let the orientation of this surface have normal with negative z coordinate. Let F-(y,-r,e) be a vector field over R. Let S be the denote...
(point) Match each logarithmic function f(x) with its graph. 1.f(x) = ln(-x) 2.f(x) = - In(-x) 3.f(x) = - In(x) 4. f(x) = ln(x - 6) 5. f(x) = 6 + In(x) 6.f(x) = In(6 - x)
MATH 241 S19 HOMEWORK 14 1. For each of theg, o dx (a) 4x3 + 7xy2 2Уз (b) x,5+1 xy + 1 2. For each of the following, find y': (a). xy sin(xy)-b) cosxy2)-y2+x 3. Find an equation of the line that is tangent to the graph of x2y2 4xy 12y at the point (2,) 4. Show that the graph of xy1 and the graph of x2-y2-1 intersect at right angles. 5. Given that x2 -y2 -1, show that y"...