1. Find the equation of the line AB. For reference, the answer is y=(-2/3)x+2.
2. Derive a formula for the area of the shaded rectange. It is A=xy (where x is the length and y is the height).
3. Replace "y" in A=xy with the formula for y: y= (-2/3)x+2:
A=x[(-2/3)x+2] This is a formula for Area A in terms of x only.
4. Since we want to maximize the shaded area, we take the derivative with respect to x of A=x[(-2/3)x+2] , or, equivalently, A=(-2/3)x^2 + 2x.
This results in (dA/dx) = (-4/3)x + 2.
5. Set this result = to 0 and solve for the critical value:
(dA/dx) = (-4/3)x + 2=0, or (4/3)x=2 This results in x=(3/4)(2)=3/2
6. Verify that this critical value x=3/2 does indeed maximize the area function.
7. Determine the area of the shaded rectangle for x=3/2, using the previously-derived formula A=(-2/3)x^2 + 2x.
The result is the max. area of the shaded rectangle.
Let
x--------> Dividend
y-------> Divisor
Q-------> Quotient
we know that
solve for x
Examples
example 1
Find the value of x
A division problem is equal to
example 2
Find the value of x
A division problem is equal to
You just find out what the missing variable is by subtracting 88 from 107 on the first one. You do the same for the last too as-well, but just insert the numbers that they say.
Happy Friday!!
Answer:
its B
Step-by-step explanation:
she went deeper than 21 feet so greater than 21
The intermediate value theorem applies to the indicated interval and the importance of c guaranteed by the theorem is c=2,3.
Especially, he has been credited with proving the following five theorems: a circle is bisected via any diameter; the bottom angles of an isosceles triangle are the same; the other (“vertical”) angles are shaped by means of the intersection of two traces are same; two triangles are congruent (of identical form and size.
In mathematics, a theorem is an announcement that has been proved or may be proved. The evidence of a theorem is a logical argument that makes use of the inference guidelines of a deductive system to set up that the concept is a logical result of the axioms and formerly proved theorems.
In line with the Oxford dictionary, the definition of the concept is ''a rule or principle, especially in arithmetic, that may be proved to be true''. For example, in arithmetic, the Pythagorean theorem is a theorem and is maximum extensively used in the domain of science.
2-1
and interval = [4]
since, function fext is continuous in ginen
interval. And also
+(4) = 42+4
4-1
=
20 = 6667
$(5/4) = ($145/2
stone-1
= 5.833
simle, f(4) > $(5/2), hence Intermediate
Theorem & applies to the indicated
proved.
Now,
= 6
C-1
C-5c +6 = 0
C=2 or c=3
1=
3 or
C= 2, 3
<= 2
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