I cannot see the graph or #24
Hello,
(u*v)'=u'v+uv'
u=2x²+3 ==> u'=4x
v=sin 5x ==>v'=cos 5x *5
((2x²+3 sin (5x))'=4x* sin (5x) +(2x²+3)*cos (5x) * 5
Answer:
The question has some details missing. Here is the given function ; f(x,y,z) = 1 + 4xyz at point P = (1,-1,-1)
Step-by-step explanation:
The detailed steps and appropriate calculation is as shown in the attached file.
The rest of the question is as following
What is the distance from person B to the top of the hill?
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Answer;
The attached figure represents the explanation of the problem.
So, it is required to find the distance BH
It will be calculated as following
∠A = 65° and ∠B = 80°
∴ ∠H = 180° - (65° + 80° ) = 35°
But the side AB = 45
So, we can use the sine rule to find the side BH



∴ BH ≈ 71.1 feet
∴ The distance from person B to the top of the hill ≈ 71.1 feet