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Mathematics

1 answer:

sesenic [268]3 years ago

4 0

S = 274.student tickets

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How does waves and tides generate electrical energy ?

Akimi4 [234]

Answer:

Step-by-step explanation:

Tidal energy is produced through the use of tidal energy generators. These large underwater turbines are placed in areas with high tidal movements, and are designed to capture the kinetic motion of the ebbing and surging of ocean tides in order to produce electricity.

4 0

3 years ago

A bag of rice contains 17 1/2 cups of rice. Ken's children eat 2 1/2 cups of rice each day.

balu736 [363]

Answer:

The answer is "7".

Step-by-step explanation:

Given values:

$\ bag \ of \ rice= 17\frac{1}{2} \\\\\ eating \ rice \ by \ ken \ per \ day = 2\frac{1}{2}\\\\\ rice = \frac{35}{2}\\\\ \ eat \ by \ day = \frac{5}{2}\\\\\ total \ days = \frac{\ bag \ value}{ \ eat \ by \ day}\\\\\ total \ days = \frac{\frac{35}{2}}{\frac{5}{2}}\\\\\ total \ days = \frac{35}{2} \times \frac{2}{5}\\\\\ total \ days = 7$

4 0

3 years ago

Find f'(x) and state the domain of f': f(x) = In (2x^2+1)

-Dominant- [34]

Answer:

$f'(x) = \frac{4x}{2x^2+1}$

Domain: All Real Numbers

General Formulas and Concepts:

Algebra I

Domain is the set of x-values that can be inputted into function f(x)

Calculus

The derivative of a constant is equal to 0

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Chain Rule: $\frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)$

Derivative: $\frac{d}{dx} [ln(u)] = \frac{u'}{u}$

Step-by-step explanation:

Step 1: Define

f(x) = ln(2x² + 1)

Step 2: Differentiate

Derivative ln(u) [Chain Rule/Basic Power]: $f'(x) = \frac{1}{2x^2+1} \cdot 2 \cdot 2x^{2-1}$
Simplify: $f'(x) = \frac{1}{2x^2+1} \cdot 4x$
Multiply: $f'(x) = \frac{4x}{2x^2+1}$

Step 3: Domain

We know that we would have issues in the denominator when we have a rational expression. However, we can see that the denominator would never equal 0.

Therefore, our domain would be all real numbers.

We can also graph the differential function to analyze the domain.