50mph
Step-by-step explanation:
The image of the motion of Paul's derive is attached already.
From the line graph we can obtain a lot of information that will help us unravel the average speed of Paul within the given time frame.
What is average speed?
Average speed is the rate of change of total distance covered with time taken .
Average speed = 
To find the total distance covered;
Distance at time 1 = 75miles
Distance at time 4 = 225miles
Distance covered between 1 - 4 = 225 - 75 = 150miles
Time taken for the journey = 4 - 1 = 3hrs
Input the values in the equation;
Average speed = 
= 50mph
learn more:
Speed and motion brainly.com/question/10048445
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Answer:
Step-by-step explanation:
for right-angled triangle: a^2 + b^2 = c^2
given a = 5 n b = 10
c^2 = 5^2 + 10^2
= 25 + 100
= 125
c = sqrt(125)
= 5*sqrt(5)
Answer:
Radius is 7.
Step-by-step explanation:
It would be 1.63 because if you multiplied it by 5 you would get 8.15
Answer:
We want to find the first 3 terms of the Taylor's series expansion for f(x) = sin(x) around x = 0.
Remember that a Taylor's series expansion of a function f(x) around the point x₀ is given by:
Where in the formula we have the first 3 terms of the expansion (but there are a lot more).
So, if:
f(x) = sin(x)
x₀ = 0
The terms are:
We already can see that the next term is zero (because when we derive the cos part, we will get a sin() that is zero when evaluated in x = 0), then the next non zero term is:
Then we can write:
Evaluating this in x = 0.2, we get:
