The tangent line to the curve has slope equal to at the point (2, -1). We have, by implicit differentiation,
At the point (2, -1), the slope is then 2/9, so the tangent line has equation
The first 5 outputs are:
As you can see, the outputs keep doubling each time we increment x by 1.
This can be written formally, observing that if you know the value of , the next value will be
So, again, we've shown that the next value is twice the previous one, so you have
The answer is 6x-49
6x-54+5
6x-49
The length from one corner to the opposite corner is 26 feet
The screen is the shape of a rectangle.
The length from one corner to the opposite corner is known as the diagonal or hypotenuse. The diagonal separates the rectangle into 2 right-angled triangles
. The diagonal's value can be determined using Pythagoras theorem
The Pythagoras theorem: a² + b² = c²
where a = length
b = width
c = diagonal
10² + 24²
100 + 576
= 676
determine the value of the square root
√576 = 26 feet
To learn more about Pythagoras theorem, please check: brainly.com/question/20936855?referrer=searchResults
Answer:
Probability is 0.0174
Step-by-step explanation:
Given data
mean = 140
variance = 25
no of sample n = 49
to find out
probability of the sample
solution
standard deviation is
standard deviation =
standard deviation = 5
we mean by more than 1.7 millimeters so
mean (X1) = mean + 1.7 or mean - 1.7
so probability = X1 -mean/ ( standard deviation / )
probability = 140 -1.7 -140 / ( 5 / )
probability = - 1.7 / 35 = -0.048
probability = 140 + 1.6 -140 / ( 5 / )
probability = 1.7 /35 = 0.048
so required probability is i.e
= P(X1 < mean - 1.7 ∪ X1 > mean + 1.7 )
= 1 - P(mean -1.7 < X1 < mean +1.7 )
= 1 - P(-0.048 < X1 < 0.048 )
= 1 - 0.9826
= 0.0174
so required probability is 0.0174