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
Basically you’re multiplying them both
(x^3 + 2x - 1)(x^4 - x^3 + 3)
so you need to make sure you multiply each one, if you do it right, you should end up with
x^7 - x^6 + 3x^3 + 2x^5 - 2x^4 + 6x -x^4 +x^3 -3
simplify by adding like terms
x^7 - x^6 + 2x^5 - 3x^4 + 4x^3 + 6x - 3
your answer would be the third option
it's C because the floor area is 120 square feet and the walls are 8 feet so if you multiply 120 × 8 you get 960.
An inverse function is a function that reverses another function, so we have a function called:
Then, the inverse function will be as follows:
Given that
, we need to isolate x in terms of y:
∴
So:
and
therefore, exchanging variables x and y:
and
and
Which are the figures shown below.
I disagree. The first one is false. No exponent rules apply if the bases AND the exponents are different.
The second one is true. Bases are the sane so you add exponents. You get 3 to the -5 power. Written with positive exponents it’s 1/3 to the 5.
