Use Theorem 13.9 to find the directional derivative of the function at P in the direction of the unit vector u = cos ei + sin 0 j. f(x, y) = sin(4x + y), P(0, 1), 0 = -

Q: An object moves with velocity as given in the graph below (in ft/sec). How far did the object travel…

A: Let's find distance of objects travel from t=0 to t=45.

Q: 10

A: To simplify 35+710.

Q: 2. 3. 8. 5.

A:

Q: b. N(0)

A: Given,  r→t=sint, t, cost                   ...1

Q: 5.1 #7

A: Given that                  A=60-1054-403-3502-425, λ=5

Q: Liquid leaked from a damaged tank at a rate of r(t) liters per hour. The rate decreased as time…

A: We need to find lower and upper estimate.

Q: Question 26

A: We have given a graph which represent the derivative f' of some function f. we have to draw the…

Q: Find lim (x,y)→(12,3) xy cos(x – 4y). OS 1. –36 2. 36 3. 3 4. 0

A:

Q: 31/2 / 1/2

A:

Q: 1 1 dx 3 5 x +x4

A:

Q: N. 15 12

A:

Q: 18 and 19

A: Question 18 : Consider the statement "If A∪C ⊂ B∪C, then  A ⊂ B " which of the following is a…

Q: 1.6+0.4(x+6)+3.2

A: To simplify the expression means writing it in the simplest form.

Q: ne distance between the points on the gi

A:

Q: Speedometer readings for a vehicle (in motion) at 14-second intervals are given in the table. t…

A: we need to find the distance travelled

Q: 198-33

A: Given: 198-33

Q: The region bounded by the given curves is rotatedabout the specified axis. Find the volume of the…

A:

Q: d 6

A: 5. In the given right triangle , the hypotenuse is 41 and the perpendicular length is 40. Apply the…

Q: expansion of (1-2m)“

A:

Q: 3. 18

A:

Q: 人 2. 2. 4

A: The given integral is ∫x24-x2dx. Let x=2 sin u. Then dx=2 cosu du. Apply the substitution and…

Q: The columns of Q were obtained by applying the Gram-Schmidt process to the columns of A. Find an…

A: Solution by using Gram-Schmidt process as follows :

Q: 1. 12

A: We can use the concept of Pythagoras theorem to solve the given problem.

Q: 1/20+1/10+1/4

A:

Q: 6-1 t.

A:

Q: 36-17

A:

Q: O 1.4 1.4

A: Given: 4:48