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2 years ago

What is the first derivative of p with respect to q (i.e., differentiate P with respect to q)?P = 6q2 + 3

Mathematics

1 answer:

Ahat [919]2 years ago

4 0

Answer:

Step-by-step explanation:

Given P = 6q² + 3, we are to find the derivative of the function with respect to q. Generally if y = axⁿ;

dy/dx = naxⁿ⁻¹

Rewriting the given equation as P = 6q² + 3q⁰

Using the formula to find the derivative;

dP/dq = 2(6)q²⁻¹ + 0(3)q⁰⁻¹

dP/dq = 12q¹ + 0

dP/dq = 12q

<em>Hence the derivative of the function P with respect to q is 12q</em>

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Flying with the wind a plane went 198 mph. Flying into the same wind the plane only went 162 mph. Find the speed of the plane in

olganol [36]

Answer: speed of plane in still air is 180 miles per hour

speed of the wind is 18 miles per hour

Step-by-step explanation:

Flying with the wind, the plane went 198 miles per hour. This means if was flying in the same direction with the wind. This is same as the speed in still air because there was no opposition from the wind.

Flying into the same wind the plane only went 162 mph. This means that the plane flew against the wind

Let x = the speed of the plane

Let y = the speed of the wind

when flying with the wind,

x + y = 198 - - - - - - -1

When flying against the wind,

x - y = 162 - - - - - - - -2

Subtracting equation 2 from equation 1,

y - - y = 198 - 162

2y = 36

y = 36/2 = 18 miles per hour

x = 198 - y = 198 -18

x = 180 miles per hour

4 0

2 years ago

A model rocket consists of a cone on top of a cylinder.

soldi70 [24.7K]

Answer:

779

Step-by-step explanation:

6/2=3 3•3•25•pi

Volume of a cylinder v=pi•r2•h

4 0

2 years ago

The equation y=1/9x relates proportional quantities x and y.

cluponka [151]

Answer:

x=36 when y=4

Step-by-step explanation:

When y=4, you have to multiply 1/9x by 9 to make x whole and to truly figure out how much it is worth. So if 1/9x =4, you need to multiply 4x9

4x9=36

x=36

7 0

2 years ago

A life guard in a tower 20 ft above sea level spots a struggling surfer at an angle of depression of 15 . How far is the surfer

GalinKa [24]

Answer: $19.31\ ft$

Step-by-step explanation:

Given

The tower is at a height of $h=20\ ft$

the angle of depression is $15^{\circ}$

Suppose the surfer is x ft away from the base of the tower

$\therefore \text{From the figure, we can write}\\\\\Rightarrow \cos 15^{\circ}=\dfrac{x}{h}\\\\\Rightarrow x=h\cos 15^{\circ}\\\Rightarrow x=20\cos 15^{\circ}\\\Rightarrow x=19.31\ ft$

Therefore, the surfer is at a distance of 19.31 ft from the base of the tower.

7 0

2 years ago

In her free time, isabelle likes to read. she kept track of the number of pages in each book she read last summer. this box plot

Free_Kalibri [48]

200 is the median (50%) of the data represented in the box plot. The fraction of the books has 200 or fewer pages is: 1/2.

<h3>What is the Median of a Data in a Box Plot?</h3>

In a box plot, the median is indicated as the value marked by the vertical line that divides the rectangular box of the box plot.

The median is the middle of the data and represents the 50th percentile. That is 1/2 the data.

In the box plot given, 200 pages is the median. Therefore, the fraction of the books that have 200 or fewer pages is: 1/2.

Learn more about box plot on:

brainly.com/question/14277132

#SPJ1

8 0

1 year ago