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Mnenie [13.5K]
1 year ago
13

Differentiate the equation to find the functions for Velocity v= ds/dt

Mathematics
1 answer:
horrorfan [7]1 year ago
7 0

Differentiation from First Principles is a formal method for determining a tangent's gradient.

<h3>What is meant by differentiation?</h3>

Finding a function's derivative is the process of differentiation. It is also the process of determining how quickly a function changes in relation to its variables.

According to the Sum rule, a sum of functions' derivatives equals the sum of those functions' derivatives. The derivative of two different functions is the difference of their derivatives, according to the Difference rule.

Differentiation from First Principles is a formal method for determining a tangent's gradient. The straight line connecting any two locations on the curve that are fairly near to one another will have a gradient that is similar to that of the tangent at those places.

s(t) = ∫vdt = ∫sin(πt)dt = (-cos(πt))/π + c

substituting the values t = 3, we get

s(-3) = (-cos(-3π))/π + c = 0

simplifying the above equation, we get

(-cos(3π))/π + c = 0

1/π + c = c

c = -1/π

Therefore, the correct answer is s(t) = (-cos(πt))/π - 1/π = (-cos(πt) - 1)/π.

The complete question is:

Given the velocity v=ds/dt and the initial position of a body moving along a coordinate line, find the body's position at time t. v=sin(pi*t), s(-3)=0

To learn more about Differentiation refer to:

brainly.com/question/954654

#SPJ13

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How much extra snow would a child need to take a snowball with a diameter of 8 cm and increase its size to a snowball with a dia
Sergio039 [100]

The amount of the extra snow would a child need to take a snowball will be 636.71 cubic cm.

<h3>What is the volume of the sphere?</h3>

Let d be the diameter of the sphere.

Then the volume of the sphere will be

V = 1/6 πd³ cubic units

Then the amount of the extra snow would a child need to take a snowball with a diameter of 8 cm and increase its size to a snowball with a diameter of 12 cm will be

Amount of snow = 1/6 π x 12³ - 1/6 π x 8³

Amount of snow = 288 π - 85.33π

Amount of snow = 636.71 cubic cm

More about the volume of the sphere link is given below.

brainly.com/question/9994313

#SPJ1

4 0
2 years ago
Walter is 43 years old his daughter Paulette is 7. In how many years will Paulette be one-third of Walters age
Ksju [112]
The answer is 14 when rounded to the nearest whole number, to get this you simply must divide 43 by 3 which equals to 14.333. 

8 0
3 years ago
Help please I will give brainliest
mestny [16]
D. 7/23 is your answer
8 0
3 years ago
Read 2 more answers
Help me with geometry pleasee ( Radom answers will be reported )
IrinaVladis [17]
A. jgb=jb+Eh/2
35+45=80/2=40 JGB =40°
B. since it is a line HGJ =180-40
HGJ= 140°
C. tangents to circles have equal lengths if they intercept the way gd and gf do eachother
set the lengths equal to themselves
4x+5=6x-8
-4x both sides
5=2x-8
+8 both sides
13=2x
÷2 both sides
x=13/2 or 6.5
Plug in
4 (6.5)+5=
26+5=31ft
8 0
3 years ago
Need an explanation on number 44 to why E is correct
aliina [53]

Before we can make sure that E is correct, we need to make the denominator is equal with questions and the choices or convert into decimal.

2/3 = 0.66

1/3=0.33

1/5=0.2

2/6=1/3 = 0.33

1/2 = 0.5

7/10 = 0.7

7/9 = 0.77

The question is :

2/3 < x < 7/9

0.66 < x < 0.77

We need to divide into 2 parts :

0.66 < x

x < 0.77

So we need to find the answer that x is greater that 0.66 and we got 7/10. And 7/10 is less than 7/9.

Hope this helps. Please ask if you don't understand.

6 0
3 years ago
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