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Tpy6a [65]
3 years ago
15

I need to know how to solve it and get the answer right to check my work

Mathematics
2 answers:
liraira [26]3 years ago
6 0
Assuming that's 22/22, the answer would be 1.Hope this helps!
Could I get Brainliest?

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Ede4ka [16]3 years ago
3 0
Solve it by finding out how many times 22 can be put into 22, which is once, so the answer is 1.
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EXAMPLE 5 If f(x, y, z) = x sin(yz), (a) find the gradient of f and (b) find the directional derivative of f at (1, 2, 0) in the
solong [7]

Answer:

<h2>a) f =  sin(yz)i + xzcos(yz)j + xycos(yz)k</h2><h2>b) -2</h2>

Step-by-step explanation:

Given f(x, y, z) = x sin(yz), the formula for calculating the gradient of the function is expressed as ∇f(x, y, z) = fx(x, y, z)i+ fy(x, y, z)j+fz(x, y, z)k where;

fx, fy and fz are the differential of the functions with respect to x, y and z respectively.

a) ∇f(x, y, z) = sin(yz)i + xzcos(yz)j + xycos(yz)k

The gradient of f =  sin(yz)i + xzcos(yz)j + xycos(yz)k

b) Directional derivative of f at (1,2,0) in the direction of v = i + 4j − k is expressed as ∇f(1, 2, 0)*v

∇f(1, 2, 0) = sin(2(0))i +1*0cos(2*0)j + 1*2cos(2*0)k

∇f(1, 2, 0) = sin0i +0cos(0)j + 2cos(0)k

∇f(1, 2, 0) = 0i +0j + 2k

Given v = i + 4j − k

∇f(1, 2, 0)*v (note that this is the dot product of the two vectors)

∇f(1, 2, 0)*v =  (0i +0j + 2k)*(i + 4j − k )

Given i.i = j.j = k.k =1 and i.j=j.i=j.k=k.j=i.k = 0

∇f(1, 2, 0)*v = 0(i.i)+4*0(j.j)+2(-1)k.k

∇f(1, 2, 0)*v = 0(1)+0(1)-2(1)

∇f(1, 2, 0)*v =0+0-2

∇f(1, 2, 0)*v= -2

 

Hence, the directional derivative of f at (1, 2, 0) in the direction of v = i + 4j − k is -2

7 0
3 years ago
A top speed a coyote can run at a speed of 44 miles per mile if a coyote could maintain its topp speed how far could it run in 1
Katyanochek1 [597]
The answer is 660 miles in 15 minutes

you would have to multiply 44 by 15

44 x 15
=660
5 0
3 years ago
ANSWER PLSS! 3)
Artist 52 [7]

Answer:

20 I'm pretty sure it's right but if not sorry

Step-by-step explanation:

80x.2=16

16÷.8= 20

6 0
3 years ago
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The value of 4 less than the product of 0.25 and x is greater than 6.
ella [17]

Answer:

0.25x - 4 > 6

7 0
3 years ago
Christine's grade in the three quarters are 88,91,90. if she targets to have an average grade not less then 92 in the four quart
dezoksy [38]

Total marks C needs to get = 92 x 4 = 368

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