Estimate the area under the graph of
f(x)=25−x^2
from x=0 to x=5 using 5 approximating rectangles and right
endpoints.
(B) Repeat part (A) using left endpoints.
(C) Repeat part (A) using midpoints.
Estimate the area under the graph of f ( x ) = 1(x + 1) over the
interval [ 3 , 5 ] using two hundred approximating rectangles and
right endpoints
R n =
Repeat the approximation using left endpoints
L n =
The graph of f(x) =2x + 1 is given below.
a. Use 4 approximating rectangles with right hand endpoints to
approximate the area under f(x) between x = 0 and x = 2.
b. Use a definite integral to find the exact area over the
interval [0. 2].
Estimate the area (A) between the graph of the function
F(X)=3/X and the interval [1,2]. Use an approximation
scheme with N= 2, 5 rectangles. Use the right endpoints.
If your calculating utility will perform automatic summations,
estimate the specified area using N=50 and N=100 rectangles.
Round your answers to three decimal places.
A2=
A5=
A10=
A50=
A100=
Approximate the area under the graph of f(x) and above the
x-axis with rectangles, using the following methods with
n=4.
f(x)=88x+55
from
x=44
to
x=66
a.
Use left endpoints.
b.
Use right endpoints.
c.
Average the answers in parts a and b.
d.
Use midpoints.
Estimate the area under the graph of f(x) =5 sqrt x. from x=0 to
x=4 using four approximating rectangles and right endpoints. sketch
the graph and rectangles. is your estimate an underestimate or
overestimate? Repeat using left endpoints
(a) Estimate the area under the graph of f(x) = 4 cos(x) from x
= 0 to x = π/2 using four approximating rectangles and right
endpoints. (Round your answers to four decimal places.) R4 = Sketch
the graph and the rectangles. WebAssign Plot WebAssign Plot
WebAssign Plot WebAssign Plot Is your estimate an underestimate or
an overestimate? underestimate overestimate (b) Repeat part (a)
using left endpoints. L4 = Sketch the graph and the rectangles.
WebAssign Plot WebAssign Plot WebAssign...
Approximate the area under the graph of f(x)=0.03x4−1.44x2+58
over the interval [2,10] by dividing the interval into 4
subintervals. Use the left endpoint of each subinterval.
The area under the graph of f(x)=0.03x4−1.44x2+58 over the
interval [2,10] is approximately ...
Approximate the net signed area under the graph of y=x-1 curve
on [0,2], using rectangles with n=4 and n=8 when taking the right
end points as your sampling points (sampling points are the points
where you are measuring the heights of the rectangles).
Have a picture of the graph and all the specific values. For
example, for n=4 , you interval of [0,2] of f(x) will have
f(1/2)times delta x +f(1)*delta x+ f(3/2)*delta x+f(2)*delta x=the
area of A1+A2+A3+A4=?? Delta x...
(a) Estimate the area under the graph of
f(x) = 3 +
4x2 from x = −1 to
x = 2 using three rectangles and right
endpoints.
R3 =
Then improve your estimate by using six rectangles.
R6 =
Sketch the curve and the approximating rectangles for
R3 andR6.
(b) Repeat part (a) using left endpoints.
L3
=
L6
=
Sketch the curve and the approximating rectangles for
L3 and L6.
(c) Repeat part (a) using midpoints.
M3
=
M6...