Answer:
<h2>10</h2>Step-by-step explanation:
Given the function f(x, y) = 2 sin(xy) at (0,5), the maximum rate of change of the function at that point will occur in the direction
Hence, the magnitude of the maximum rate of the function at the point (0, 5) is 10
Answer:
a. 〈4,3〉
b. 〈-2,7〉
c. 〈11,4〉
Step-by-step explanation:
a. u + v
〈1,5〉 + 〈3, −2〉
〈1+3,5-2〉
〈4,3〉
b. u - v
〈1,5〉 - 〈3, -2〉
〈1-3,5-(-2)〉
〈-2,7〉
c. 2u + 3v
2*〈1,5〉 + 3*〈3,-2〉
〈2*1,2*5〉 + 〈3*3,3*(-2)〉
〈2,10〉 + 〈9,-6〉
〈2+9,10-6〉
〈11,4〉
To draw the vectors, let's put them on the origin (0,0), so let's draw the line until the point of its component form, with an arrow. The vectors are shown below.
