6. The intersection of the graphs of f(x, y) = 5x’y + 4e** andz - 64...
Which vector points in the direction in which one should travel in order to experience the greatest rate of change of the function g(x, y, z) = xy + 5 yz’if one is currently located at the point (3,2,4)? 7) 8î +116j+80k b) 2-129 + Â €) -7 - 5j + 46k d)84i+j-51 e) none of these I The intersection of the graphs of f(x, y) = 5x+y+43-6 and = = 64 is a level curve of the function f....
2. (4 pts.) Which of the following are the level curve graphs for f(x,y)=et-y ? : Which of the following are level curves for the function f(x,y)=2*-? (A) (B) (C) (D) (E) (G) (H)
Consider the following. z = x2 + y2, z = 36 − y, (6, -1, 37) (a) Find symmetric equations of the tangent line to the curve of intersection of the surfaces at the given point. x − 6 12 = y + 1 −2 = z − 37 −1 x − 6 1 = y + 1 12 = z − 37 −12 x − 6 = y + 1 = z − 37 x − 6 12 =...
6. Use Matlab to find the point(s) of intersection (if any) between the functions f()10sin(2 5) and g(x)-6r-4, accurate to two decimal places. Write down the Matlab commands to produce the x-vector, the vectors representing the f- and g-values and the plot of the graphs. 7. Use Matlab to find the minimum (accurate to two decimal places) of the function in the interval (0,π). 6. Use Matlab to find the point(s) of intersection (if any) between the functions f()10sin(2 5)...
Approximate the point of intersection of the graphs of fand g. (x, y) = ( ) 20 40 60 80 Solve the equation f(x) = g(x) algebraically to verify your approximation. f(x) = log4 * g(x) = 3 (x, y) =(
Homework 4: Problem 3 Previous Problem Problem List Next Problem (6 points) Consider the function f(x, y) - (e - x) sin(y). Suppose S is the surface z- f(x, y) (a) Find a vector which is perpendicular to the level curve of f through the point (5,5) in the direction irn which f decreases most rapidly. vector (b) Suppose u = 31 + 3/4 ak is a vector in 3-space which is tangent to the surface S at the point...
Previous Problem Problem List Next Problem f(x, y) (1 point) Consider the function f(x, y) = (e* - 5x) sin(y). Suppose S is the surface z (a) Find a vector which is perpendicular to the level curve of f through the point (5,4) in the direction in which f decreases most rapidly. vector -(eA5-5)sin(4)i+-(e^5-5(5)cos(4)j (b) Suppose above (5,4). What is a? 2i 8jak is a vector in 3-space which is tangent to the surface S at the point P lying...
log(2 - 2) (x2 y Question 2. Consider the function f(x, y, (a) What is the maximal domain of f? (Write your answer in set notation.) (b) Find ▽f. (c) Find the tangent hyperplnes Te2)(r, y,z) and Tao2-)f(x, y, z). Find the intersection of these two hyperplanes, and very briefly describe the intersection in words (0,1, 1) and set notation. Confirm that the point (2, 2, 1) is on this level surface, and that Vf(2, 2, 1) is (d) On...
Consider the function f(x,y)=(ex-2x)sin(y). Suppose S is the surfacez=f(x,y).(a) Find a vector which is perpendicular to the level curve of through the point (4,6) in the direction in which f decreases most rapidly.vector =(b) Suppose v=5i+7j+ak is a vector in 3-space which is tangent to the surface S at the point P lying on the surface above (4,6). What is a?
log(2 - 2) Consider the function f(x, y,z) (a) What is the maximal domain off? (Write your answer in set notation.) Find ▽f. (b) Find the tangent hyperplanes Ta2.1,f(r, y, 2) and To-ef(r, y, 2). Find the intersection (c) On (z, y, z)-axes, draw arrows representing the vector field F = Vf at the points (1,0,1), (d) Find the level set of f which has value ("height") wo 0, and describe it in words and of these two hyperplanes, and...