Answer:
The directional derivative of f at A in the direction of
AD is 7.
Step-by-step explanation:
Step 1:
Directional of a function f in direction of the unit vector
is denoted by
,
.
Now the given points are
,
Step 2:
The vectors are given as
AB = (10-8, 9-9),the direction is
AC=(8-8,10-9), the direction is

AC=(11-8,13-9), the direction is

Step 3:
The given directional derivative of f at A
is 9,

The given directional derivative of f at A
is 2,

The given directional derivative of f at A
is



The directional derivative of f at A in the direction of
is 7.
Answer:
Step-by-step explanation:
39 inches = 3 feet 3 inches
42.5 inches = 3 feet 6 1/2 inches
61 3/4 inches - 5 feet 1 3/4 inches
Volume of cylinder = πr²h
Radius = Diameter ÷ 2
Radius = 10÷ 2
Radius = 5 in
Volume of the cylinder =π x 5² x20
Volume of the cylinder = 1570.80 in³ (nearest hundredth)
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Volume = 1570.80 in³ (Answer C)
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Answer:
See attachment.
Step-by-step explanation:
The given triangle,GFH has vertices G(2, –3), F(4, –1), and H(1, 1).
When this triangle is rotated 270° clockwise using the origin as center of rotation; then the coordinates of the image triangle, G'F'H' can be obtained using the mapping;

This implies that the new triangle will have vertices at;
G'(3, 2), F'(1, 4), and H'(-1, 1).
The correct choice is shown in the attachment.