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dexar [7]
2 years ago
15

The rate of change of a function occurring as a limit approaches zero is called

Mathematics
1 answer:
Virty [35]2 years ago
5 0

Answer:

The rate of change of function occurring as limit approaches zero  is called as Derivative.

Step-by-step explanation:

Given:

The rate of change of function occurring as limit approaches zero

Solution:

Consider,  rate of change using limits is give by,

f'(a)=limit[ f(t)-f(a)/(t-a)]  as t tends to zero.

and it not possible to calculate t that last for zero seconds.

So this concept of Instantaneous rate of change and limit approaches zero is called as Derivative.

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Find the area of the triangular section of the rectangle solid shown in the figure .
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Fiona wrote the linear equation y = x – 5. When Henry wrote his equation, they discovered that his equation had all the same sol
Oliga [24]
His equation could be written in quadratic form, which is ax^2+bx=c                     


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Find the surface area of the triangular prism. A triangular prism. The base is a right triangle with base 1 foot, height 2 feet
mylen [45]

Answer:

<h2>17.6ft²</h2>

Step-by-step explanation:

The formula for calculating the surface area of a triangular prism is expressed as shown below:

SA= bh + pH

b= base of the triangle

h- height of the triangle

p= perimeter of the triangle

H= height of the prism

Given b = 1foot

h = 2feet

perimeter of the triangle = sum of all its sides = 1ft + 2ft + 2.2ft

p = 5.2ft

H = 3ft

Substituting the values into the formula for finding the surface area:

SA = 1(2)+5.2(3)

SA = 2+15.6

SA = 17.6ft²

The surface area of the triangular prism is  17.6ft²

3 0
2 years ago
If ray JG is an angle bisector of ∠FJH, find m∠FJH.
miss Akunina [59]

Answer:

m∠FJH=60°

Step-by-step explanation:

The complete question is

JG bisects FJH, FJG= (2x + 4)° and GJH = (3x -9)°  

What is FJH

we know that

m∠FJH=m∠FJG+m∠GJH -----> equation A

If ray JG is an angle bisector of ∠FJH

then

m∠FJG=m∠GJH -----> equation B

substitute the given values in equation B and solve for x

(2x + 4)°=(3x -9)°

3x-2x=4+9

x=13

Find the measure of angle FJH

m∠FJH=(2x + 4)°+(3x -9)°

substitute the value of x

m∠FJH=(2(13) + 4)°+(3(13) -9)°

m∠FJH=(30)°+(30)°

m∠FJH=60°

3 0
2 years ago
What is the length of AC ?<br><br> 3ft<br> 4ft<br> 9ft<br> 18ft
WINSTONCH [101]

ΔACB and ΔMNB are similar. Therefore the corresponding sides are in proportion:

\dfrac{AC}{MN}=\dfrac{CB}{NB}\\\\MN=9\ ft\\CB=2\cdot3\ ft=6\ ft\\NB=3\ ft

Substitute:

\dfrac{AC}{9}=\dfrac{6}{3}\\\\\dfrac{AC}{9}=2\ \ \ \ |\cdot9\\\\AC=18\ ft

5 0
2 years ago
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