We are given

Firstly, we can find gradient
so, we will find partial derivatives





now, we can plug point (-5,5,2)



so, gradient will be

now, we are given that
it is in direction of v=⟨−3,2,−4⟩
so, we will find it's unit vector


now, we can find unit vector

now, we can find dot product to find direction of the vector

now, we can plug values


.............Answer
10x^2 = 50x.....subtract 50x from both sides
10x^2 - 50x = 0...factor
10x(x - 5) = 0
10x = 0
x = 0 <== this one is eliminated because x cannot be zero
x - 5 = 0
x = 5 <== ur answer
Answer:
10
Step-by-step explanation:
find out f(2)
f(2)= (3×2×2) - 4= 8
then g(8) = 16 - 6= 10
Answer:
cos (105°) = - 2.6
csc (105°) = 1.03
Step-by-step explanation:
Given that cos (-105°) = - 0.26 {The negative sign is due to the angle - 105° lies in the third quadrant where cos value is negative}
Again, given that csc (- 105°) = - 1.03 {{The negative sign is due to the angle - 105° lies in the third quadrant where csc value is negative}
Now, cos (105°) = - 2.6, because 105° lies in the second quadrant and here cos value is negative.
And csc (105°) = 1.03, because 105° lies in the second quadrant and here csc value is positive. (Answer)