This is because 7 x 6 is only 42 therefore julies answer is way too far off.
the real answer is 43.89
hope this helps you
What we know:
Area=l x w
vertices at (-4,0),(-3,1), (0,-2),(-1,-3)
pythagorean formula=a²+b²=h²
What we need to find:
Area
Finding length:
Length of rectangle is from point (-4,0) to (-1,-3), found it by plotting the points on graph paper. Went down 3 units and right 3 units to go from one point to the other, these are the a and b in the pythagorean formula.
a²+b²=h²
(3)²=(3)²=h²
9+9=h²
18=h²
√18=√h²
√18=h
Finding width:
Width of rectangle is from point (-4,0) to (-3,1), found it by plotting the points on graph paper. Went up 1 unit and right 1 unit to go from one point to the other, these are the a and b in the pythagorean formula.
a²+b²=h²
(1)²+(1)²=h²
1+1=h²
2=h²
√2=√h²
√2=h
Now we can find area,
Area= l x w
= √18 x√2
=√36=6
Area=6
Remember that when we square root a number we get two solutions, one negative and one positive but since length, width and area are positive we only use positive solutions.
1. Rewrite the expression in terms of logarithms:

Then differentiate with the chain rule (I'll use prime notation to save space; that is, the derivative of <em>y</em> is denoted <em>y' </em>)




2. Chain rule:




Since
, we can cancel one factor of sine:

3. Chain rule:




4. If you're like me and don't remember the rule for differentiating logarithms of bases not equal to <em>e</em>, you can use the change-of-base formula first:

Then

So we have




and we can use the double angle identity and logarithm properties to condense this result:

5. Differentiate both sides:





6. Same as with (5):






7. Looks like

Compute the second derivative:


Set this equal to 0 and solve for <em>x</em> :





No, i don't think it's true