Determine the second derivative of y=cosxtanx.

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Answers

Answer 1

Answer: $f(x)=cosxtanx\n\n(cosxtanx)'=\left(cosx\cdot(sinx)/(cosx)\right)'=(sinx)'=cosx\n\n(cosx)'=-sinx\n\nf''(x)=-sinx\n\n(\delta^2 f)/(\delta x^2)=-sinx$

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Consider the graph of f(x) = 2x 3 – 3x 2 – 14x. On a coordinate plane, a graph increases through (negative 2, 0) to (negative 1, 10), decreases through (0, 0) to (2, negative 24), and then increases through (3.5, 0) through (4, 20). Based on the graph, what is the solution to 2x 3 – 3x 2 ≥ 14x?

Answers

Answer:

Answer D

Step-by-step explanation:

Final answer:

The solution to the inequality 2x³ – 3x² – 14x ≥ 0, as indicated by the graph provided, is given by the intervals of x where the function is increasing. Therefore, the solution is comprised of the intervals [-2, -1] and [3.5, ∞].

Explanation:

The solution to 2x³ – 3x² ≥ 14x can be found by solving the inequality. First, let's rearrange the inequality to: 2x³ – 3x² – 14x ≥ 0. This equation represents where the function is positive (above the x-axis) on the graph. Therefore, we must identify the intervals of x where the function increases or decreases.

Based on the description of the graph, the function increases in the intervals (-2, -1) and (3.5, ∞) and decreases in the interval (-1, 3.5). So, the solution to the inequality would be the union of the intervals where the function increases: [-2, -1] U [3.5, ∞].

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Consider the population of florida , the area of colorado, and the flight time from philadelphia to san francisco, which of these has a value that varies.

Answers

Answer:

the population of Florida

Step-by-step explanation:

A value that varies means a value that shall change over a period of time.

Accordingly when we talk about population the population shall increase or decrease with time, as this the natural thing that new babies are born and at the same time people also die.

Even in Florida there will be new babies who are born and also there shall be people who might be dying. Accordingly the population count keeps on changing.

The flight time depends upon the aerial distance and the speed which generally remains same.

Accordingly if a flight takes hours to travel the distance it will be same.

The area of a particular place shall not change as earth will not create new land, or the area will remain same by any how only exception to this is acquisition of land of neighbouring places, by war or political influence, but not in a natural manner.

Thus, population of Florida is variable.

Final answer:

The flight time from Philadelphia to San Francisco varies.

Explanation:

The subject of the question is a comparison of three different values: the population of Florida, the area of Colorado, and the flight time from Philadelphia to San Francisco. Out of these three, the value that varies is the flight time from Philadelphia to San Francisco.

This is because the population of Florida remains relatively constant over time, while the area of Colorado also remains the same. However, the flight time from Philadelphia to San Francisco can vary based on factors such as weather conditions, air traffic, and flight routes.

For example, if there are strong headwinds, it may take longer to fly from Philadelphia to San Francisco compared to a day with favorable tailwinds.

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A painter painted about a half a room in half a day. Coley estimated the painter would paint 7 rooms in 7 days Is Coley estimate reasonable? Explain

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Yes, if the painter can pain 1/2 of a room in 1/2 of a day, then he can paint 1 room in 1 day. This is your unit rate.

Can an eulerian circuit also be an eulerian path?

Answers

Answer: i think yes

Step-by-step explanation:

Final answer:

Yes, an Eulerian circuit can also be an Eulerian path.

Explanation:

An Eulerian circuit can also be an Eulerian path. An Eulerian circuit is a path that visits each edge of a graph exactly once and ends at the starting vertex, while an Eulerian path is a path that visits each edge exactly once but does not necessarily end at the starting vertex. Therefore, every Eulerian circuit is also an Eulerian path.

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Adam is going to cook a turkey for 14 people and wants to allow ¾ lb of turkey for each person. 1lb = 450 g

How much would a turkey cost for 14 people?

Turkey sizes -
Small: 2kg - 3.9kg
Medium: 4kg - 5.4kg
Large: 5.5kg - 7.2kg
Extra Large: 7.3kg - 9.2kg

Turkey prices -
Small/Medium: £5.99 per Kg
Large/Extra large: £4.99 per Kg

Answers

I did (450*3/4=337.5) to get how much each person would eat, then I did (337.5*14=4725g) to see how big the turkey should be. I then converted grams to kilos (4725*0.001=4.725 kg), and I got how big the turkey would be. It turns out the appropriate size of the turkey would be medium, so then what I did was that I looked for the medium price of the turkey per kg, and found that it was £5.99 per kg. I did (4.725*5.99) and I got about £28.30.It would cost £28.30 for 14 people.

These problem can be solved using conversion fractions. A conversion fraction is a unitary fraction that we use to convert units; the idea is multiply the unit we want to convert by a fraction with the same unit as denominator and the target unit as numerator.

First, we are going to find how many grams are $(3)/(4)$ lb. Since we know that $1lb = 450g$ , we just need to multiply $(3)/(4)lb$ by the conversion fraction $(450g)/(1lb)$ :

Grams per person = $((3)/(4)lb)((450g)/(1lb) )=(0.75lb)((450g)/(1lb) )=337.5g$

Next, we are going to find the total amount of grams Adam will need. Since there are 14 persons, we just need to multiply the grams per person by 14:

Total grams = $14(337.5g)=4725g$

Since the cost of the turkey is expressed in kilograms, we need to convert the total grams to kilograms. We know that 1 kg = 1000 g, so we need to multiply the total grams by the conversion factor $(1kg)/(1000g)$ :

Total kg = $(4725g)((1kg)/(1000g) )=4.725kg$

Now we know know that Adam will need to buy 4.725 kg of medium size turkey, so the only thing left is multiply the price of the medium size turkey by the total kg:

Total cost = $(4.725kg)((5.99)/(kg) )=28.30$