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AysviL [449]
2 years ago
7

How to solve all fraction algebra?

Mathematics
1 answer:
kap26 [50]2 years ago
7 0

Answer:

-  \frac{1}{5}  -  \frac{4}{9} a =  \frac{2}{15}

-  \frac{4}{9} a =  \frac{2}{15}  +  \frac{1}{5}  \\  \\  -  \frac{4}{9} a =  \frac{1}{3 }  \\  \\  ( - 4 \times 3)a = (1 \times 9) \\  - 12a = 9 \\ a =   - \frac{9}{12}  \\  \\ { \underline{ \:  \: a =   - \frac{3}{4}  \:  \: }}

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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;

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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

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

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∇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

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