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myrzilka [38]
2 years ago
6

Differentiate each of the following, where

Mathematics
1 answer:
ankoles [38]2 years ago
4 0

Answer:

\frac{\textbf{dy}}{\textbf{dx}} = \textbf{10ax}+\textbf{9bx}^2

Step-by-step explanation:

Let

y= 5ax^2+3bx^3+5

Differentiating y with respect to x

\frac{dy}{dx} =5a(2x)+3b(3x^2)+0

\frac{dy}{dx}= 10ax+9bx^2    where a and b are constants

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3 years ago
(4x^2+3x −5)+(x^2 −7x+10)
olga nikolaevna [1]

Answer:

5x^{2}  -4x +5

Step-by-step explanation:

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2 years ago
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Can you help me with this im confused ​
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Step-by-step explanation:

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3 years ago
If Diana walks forward and her angle looking to the top of the building changes to 40°, how much closer is she to the building?
elena55 [62]

The closer Diana gets to the building, the smaller the angle becomes

Diana is 17.6 feet closer to the building

<h3>How to calculate the distance from the building</h3>

To calculate the distance between her and the building, we make use of the following tangent ratio

\tan(\theta) = \frac{h}{d}

Where:

  • \theta = 40^o
  • h represents the height of the building; h = 130
  • d represents the distance from the building

So, we have:

\tan(40) = \frac{130}{d}

Make d the subject

d = \frac{130}{\tan(40)}

Evaluate tan(40)

d = \frac{130}{0.8391}

d = 154.93

Initially, Diana is at a distance of 172.53.

The difference in both distance is:

\Delta d = 172.53 - 154.93

\Delta d = 17.6

Hence, Diana is 17.6 feet closer to the building

Read more about trigonometry ratios at:

brainly.com/question/4326804

7 0
2 years ago
The driver of the bus filled the gas tank with gas by putting in 21 gallon. If the gas gauge was at five-eighths before she fill
vazorg [7]

Answer:

56 gallons

Step-by-step explanation:

When her gas tank is full, she has x gallons in the tank.

when she went to the gas station, she had (5/8) of x gallons of gas in her tank. she added 21 gallons into her tank, then she had x gallons in her tank.

(5/8)x + 21 = x

subtract x and 21 from both sides

(5/8)x - x = -21

factor out an x from the left side

x(5/8 - 1) = -21

simplify the parenthesis

x(-3/8) = -21

multiply both sides by -8/3

x= 56 gallons

8 0
3 years ago
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