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2 years ago

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The height of a cylinder is 2.5x the radius. The surface area of the cylinder is 1406.72, find the radius and the height of the

cylinder. Both numbers should be whole numbers.

1 answer:

mr Goodwill [35]2 years ago

5 0

Answer:

22135.98

Step-by-step explanation:

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Please help! Can anyone help me out with this question?

TEA [102]

Answer:

$\displaystyle h'(s) = 64s + 20$

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right<u> </u>

Distributive Property

<u>Algebra I</u>

Terms/Coefficients

<u>Calculus</u>

Derivatives

Derivative Notation

Derivative of a constant is 0

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Derivative Rule [Product Rule]: $\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)$

Step-by-step explanation:

<u>Step 1: Define</u>

$\displaystyle h(s) = (-8s - 9)(-4s + 2)$

<u>Step 2: Differentiate</u>

[Derivative] Product Rule: $\displaystyle h'(s) = \frac{d}{ds}[(-8s - 9)](-4s + 2) + (-8s - 9)\frac{d}{ds}[(-4s + 2)]$
[Derivative] Basic Power Rule: $\displaystyle h'(s) = (1 \cdot -8s^{1 - 1} - 0)(-4s + 2) + (-8s - 9)(1 \cdot -4s^{1 - 1} - 0)$
[Derivative] Simplify: $\displaystyle h'(s) = (-8)(-4s + 2) + (-8s - 9)(-4)$
[Derivative] Distribute [Distributive Property]: $\displaystyle h'(s) = 32s - 16 + 32s + 36$
[Derivative] Combine like terms: $\displaystyle h'(s) = 64s + 20$

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Derivatives

Book: College Calculus 10e

7 0

3 years ago

F(-3) = 2x^2 + 2 - how do i solve

irakobra [83]

Answer:

20

Step-by-step explanation:

$f(x)=2x^{2} +2\\f(-3)=2(-3)^{2} +2\\f(-3)=2(9)+2 = 18 + 2 = 20$

7 0

3 years ago

Ten divided by the difference of a number and 2, minus 9 divided by a number plus 2, equals 5 times the reciprocal of the diff

nata0808 [166]

(10/(x-2)) -(9/(x+2))=5(1/(x^2-4))

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4 years ago

Subtract. (2x + 2) - (3x + 11)<br> A) 5x - 9 <br> B) -x - 9 <br> C) -x - 13 <br> D) 5x - 13

kolezko [41]

<span>(2x + 2) - (3x + 11)
Subtract 3x from 2x while subtracting 11 from 2
Final Answer: B.) -x - 9</span>

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3 years ago

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telo118 [61]

Set x equal to 1 then solve

$y = - 1 + 6$
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3 years ago

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