The range is all the second values or ys
[-7, -1, 0, 2, 8]
Answer:
If the bathtub was full it made a splash and got wet if the bathtub was empty if hit the bottom and bounced
Step-by-step explanation:
Split up the integration interval into 4 subintervals:
The left and right endpoints of the -th subinterval, respectively, are
for , and the respective midpoints are
We approximate the (signed) area under the curve over each subinterval by
so that
We approximate the area for each subinterval by
so that
We first interpolate the integrand over each subinterval by a quadratic polynomial , where
so that
It so happens that the integral of reduces nicely to the form you're probably more familiar with,
Then the integral is approximately
Compare these to the actual value of the integral, 3. I've included plots of the approximations below.
To solve using completing square method we proceed as follows:
x^2-10x+8=0
x^2-10x=-8
but
c=(b/2)^2
c=(10/2)^2=25
thus we can add this in our expression to get
x^2-10x+25=8+25
factorizing the LHS we get:
(x-5)(x-5)=33
(x-5)^2=33
getting the square roots of both sides we have:
x-5=+/-√33
x=5+/-√33
Which group of numbers is correctly ordered from least to greatest? -4, -7, -10, 0, 1, 5 0, -4, -1, 6, 11, 14 -10, -7, -4, 0, 1,
Eduardwww [97]
Numbers are ordered from least to greatest when each number is greater than the number preceding it, and lesser than the number succeeding it.
Rephrasing the answer choices to make it more clear:
-4, -7, -10, 0, 1, 5
-7 is lesser than -4, so this isn't ordered correctly.
0, -4, -1, 6, 11, 14
-4 is lesser than 0, so this isn't ordered correctly.
-10, -7, -4, 0, 1, 9
Each number in this sequence is ordered correctly.
0, -3, -7, 1, 4, 7
-3 is lesser than 0, so this isn't ordered correctly.
The group of numbers that is correctly ordered is -10, -7, -4, 0, 1, 9.