I hope this helps you
Area=height.base/2
Area =2. (x+1)/2
Area =x+1
Answer:
Maximum rate of change at the point (-1,2) = √17
Direction is the direction of the gradient
Step-by-step explanation:
The gradient of a function (scalar or vectorial ) is a vector in the direction of maximum rate of change then
f( x,y ) = x*2y + 2y
grad = δ/δx i + δ/δy j + δ/δz k
grad f(x,y) = [ δ/δx i , δ/δy] = [ 2y , x+2 ]
at the point ( -1 , 2 )
grad f(x,y) = [4 , 1]
| grad f(x,y) | = √ (4)² + (1)² = √17
This is one of those questions where, if you know the formula, it's easy,
and of you don't know the formula, there's no way.
In fact, the whole purpose of the question is to help you remember the formula.
The volume of a cylinder is
(pi) x (the radius)² x (the height).
For this particular cylinder, that's
(pi) x (3)² x (10) =
(pi) x (9) x (10) = 90 pi cubic units.
If you use (3.14) for (pi), then that's <em>282.6 cubic units</em>.
(Y2 -Y1)
————-
(X2-X1)
4-3
—— =
3-8
1/-5
The answer would be x ≠ 0
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
First start with the left side, doing distributive property
So... -2(x) = -2x and -2(5) = -10 Therefore on the left side you now have -2x -10
Next do the same on the right side
-2(x) = - 2x and -2(-2) = 4 so you have -2x + 4 + 5 and you add 4 and 5, leaving you with -2x + 9
Now that you have simplified both sides the problem now looks like this:
-2x - 10 = -2x + 9
Because you have equal terms on both sides (-2) those cancel out so you have -10 = 9
Just from looking at this we know that the statement is false because -1o does not equal 9
*The symbol, "≠" means not equal to"
