Split up the interval [2, 5] into
equally spaced subintervals, then consider the value of
at the right endpoint of each subinterval.
The length of the interval is
, so the length of each subinterval would be
. This means the first rectangle's height would be taken to be
when
, so that the height is
, and its base would have length
. So the area under
over the first subinterval is
.
Continuing in this fashion, the area under
over the
th subinterval is approximated by
, and so the Riemann approximation to the definite integral is
and its value is given exactly by taking
. So the answer is D (and the value of the integral is exactly 39).
Answer:
C
Step-by-step explanation:
54 x 2 = 125
So I know.I'm correct
Answer:
Answer is D
Step-by-step explanation:
First use sine to figure out x
so "sin(31) = 12 ÷ x"
mulitply both sides by x and you get "x * sin(31) = 12"
divide both side by sin(31) so you get "x = 12 ÷ sin(31)"
after plugging it in a calculator, you get 23.2992 and just rounf to the nearest tenth and you get 23.3
Slope intercept form is: y=mx+b
For the other line to be parallel they must have the same slope so:
y=5x+b, using the point (4,5) we can solve for the y-intercept, or "b"
5=5(4)+b
5=20+b
b=-15 so the line is:
y=5x-15
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The equation can be written in slope-intercept form as ...
y > -3x +4
The dashed boundary line has a y-intercept of (0, 4) and a slope of -3. Shading is where x-values and y-values are greater than those on the boundary line, so will be to the right and above the line.
