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2 years ago

K = 2LM + 2LN. Solve for L

Mathematics

2 answers:

Sergeu [11.5K]2 years ago

7 0

First, factor out an L to get K=L(2M+2N). Then divide both sides by (2M+2N).

Andreas93 [3]2 years ago

6 0

L is 0 because it cancels itself out

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Use f’( x ) = lim With h ---> 0 [f( x + h ) - f ( x )]/h to find the derivative at x for the given function. 5-x²

beks73 [17]

<h2>Answer:</h2>

The derivative of the function f(x) is:

$f'(x)=-2x$

<h2>Step-by-step explanation:</h2>

We are given a function f(x) as:

$f(x)=5-x^2$

We have:

$f(x+h)=5-(x+h)^2\\\\i.e.\\\\f(x+h)=5-(x^2+h^2+2xh)$

( Since,

$(a+b)^2=a^2+b^2+2ab$ )

Hence, we get:

$f(x+h)=5-x^2-h^2-2xh$

Also, by using the definition of f'(x) i.e.

$f'(x)= \lim_{h \to 0} \dfrac{f(x+h)-f(x)}{h}$

Hence, on putting the value in the formula:

$f'(x)= \lim_{h \to 0} \dfrac{5-x^2-h^2-2xh-(5-x^2)}{h}\\\\\\f'(x)=\lim_{h \to 0} \dfrac{5-x^2-h^2-2xh-5+x^2}{h}\\\\i.e.\\\\f'(x)=\lim_{h \to 0} \dfrac{-h^2-2xh}{h}\\\\f'(x)=\lim_{h \to 0} \dfrac{-h^2}{h}+\dfrac{-2xh}{h}\\\\f'(x)=\lim_{h \to 0} -h-2x\\\\i.e.\ on\ putting\ the\ limit\ we\ obtain:\\\\f'(x)=-2x$

Hence, the derivative of the function f(x) is:

$f'(x)=-2x$

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3 years ago

Read 2 more answers

Mr.Jackson bought 1 3/5 lb.of beef. He cooked 3/4 of it for lunch. How much does he have left

Luda [366]

===> Mr. Jackson bought / . of beef:

===> He cooked / of it for lunch:

Solution ===> Mr Jackson, had 2 / 5 Lbs. left

===> If he cooked / of it for lunch:

===> Mr Jackson, had / of the original amount left.

===> Since ( / )( / )

===> / * /

===> /

Mr Jackson, had / . left.

write the answer as one expression; Then Solve:

( / )( − / )

8 / 5 ( 1 - 3 / 4 )

= 8 / 5 ( 1 / 4 )

= 2 / 5 ( Decimal: 2 / 5 ====> 0.4 )

Answer, 2 / 5 Lbs.; of beef, Mr Jackson, Had left.

Hope that helps!!!!! : )

Hope that Helps!!!! : )

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2 years ago

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hodyreva [135]

Answer:

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Step-by-step explanation:

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3 years ago

What is the length of radius to the nearest tenth of an inch?

mixas84 [53]

Answer:

radius = arc length / central angle in radians

radius = 4 inches / 5*PI / 12

radius = 4 / 1.308996939 radians

radius = 3.0557749074

radius = 3.0557749074 inches

Step-by-step explanation:

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andrew-mc [135]

Answer:

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