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3 years ago

A rectangular prism is 6 feet long, 5 feet wide, and 7 feet tall. What is the surface area in square inches?

Mathematics

1 answer:

marta [7]3 years ago

7 0

Answer:

214

Step-by-step explanation:

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Because of their connection with secant lines, tangents, and instantaneous rates, limits of the form ModifyingBelow lim With h

Gre4nikov [31]

Answer:

$\dfrac{1}{2\sqrt{x}}$

Step-by-step explanation:

$f(x) = \sqrt{x} = x^{\frac{1}{2}}$

$f(x+h) = \sqrt{x+h} = (x+h)^{\frac{1}{2}}$

We use binomial expansion for $(x+h)^{\frac{1}{2}}$

This can be rewritten as

$[x(1+\dfrac{h}{x})]^{\frac{1}{2}}$

$x^{\frac{1}{2}}(1+\dfrac{h}{x})^{\frac{1}{2}}$

From the expansion

$(1+x)^n=1+nx+\dfrac{n(n-1)}{2!}+\ldots$

Setting $x=\dfrac{h}{x}$ and $n=\frac{1}{2}$ ,

$(1+\dfrac{h}{x})^{\frac{1}{2}}=1+(\dfrac{h}{x})(\dfrac{1}{2})+\dfrac{\frac{1}{2}(1-\frac{1}{2})}{2!}(\dfrac{h}{x})^2+\tldots$

$=1+\dfrac{h}{2x}-\dfrac{h^2}{8x^2}+\ldots$

Multiplying by $x^{\frac{1}{2}}$ ,

$x^{\frac{1}{2}}(1+\dfrac{h}{x})^{\frac{1}{2}}=x^{\frac{1}{2}}+\dfrac{h}{2x^{\frac{1}{2}}}-\dfrac{h^2}{8x^{\frac{3}{2}}}+\ldots$

$x^{\frac{1}{2}}(1+\dfrac{h}{x})^{\frac{1}{2}}-x^{\frac{1}{2}}=\dfrac{h}{2x^{\frac{1}{2}}}-\dfrac{h^2}{8x^{\frac{3}{2}}}+\ldots$

$\dfrac{x^{\frac{1}{2}}(1+\dfrac{h}{x})^{\frac{1}{2}}-x^{\frac{1}{2}}}{h}=\dfrac{1}{2x^{\frac{1}{2}}}-\dfrac{h}{8x^{\frac{3}{2}}}+\ldots$

The limit of this as $h\to 0$ is

$\lim_{h\to0} \dfrac{f(x+h)-f(x)}{h}=\dfrac{1}{2x^{\frac{1}{2}}}=\dfrac{1}{2\sqrt{x}}$ (since all the other terms involve $h$ and vanish to 0.)

8 0

3 years ago

Help please it’s due today show work :)

Norma-Jean [14]

Answer:

Step-by-step explanation:

7 hours ago I gave you the answer on this question, my dear!!

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3 years ago

Evaluate your expression for 20 miles walked.

professor190 [17]

Answer:

i am not sure but i thinks 2-1 is 1

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Apply the algebra tiles to find (8x2 + 8x + 5) - (2x2 + 6x + 4).

Degger [83]

A) 2x + 11
B) 2x + 13
not sure because you put ?
D) 2x + 21
these are the answers to your answer options but the answer to the equation in the question is 2x + 13 so your answer is B! hope this helped

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3 years ago

Which expressions are equivalent to (6273)−4?

goblinko [34]

Answer:

the third one and the one

Step-by-step explanation:

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3 years ago