Question
In: Math
The three parts of this problem concern the area under the graph of y=f(x)=1/x on the...
The three parts of this problem concern the area under the graph of y=f(x)=1/x on the interval (.5,4). (A) Estimate this area using L6. That is, use 6 equal width rectangles over the interval (.5,4), the height of each rectangle determined by the left endpoint of each subinterval. (B) Estimate this area using R6. That is, use 6 equal width rectangles over the interval (.5,4) with the height of each rectangle determined by the right endpoint of each subinterval. (C) Use calculus methods to determine the exact area by evaluating the definite integral (.5,4) 1/x dx
Solutions
milcah answered 2 years agoRelated Solutions
Estimate the area under the graph of f ( x ) = 1(x + 1) over...
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 =
Use finite approximation to estimate the area under the graph f(x)= 8x2 and above graph f(x)...
Use finite approximation to estimate the area under the graph
f(x)= 8x2 and above graph f(x) = 0 from X0 =
0 to Xn = 16 using
i) lower sum with two rectangles of equal width
ii) lower sum with four rectangles of equal width
iii) upper sum with two rectangles of equal width
iv) upper sum with four rectangle of equal width
(a) Estimate the area under the graph of f(x) = 3 + 4x2 from 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...
(a) Estimate the area under the graph of f(x) = 3 + 4x2 from 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.
Sketch the curve and the approximating rectangles for
R6.
(b) Repeat part (a) using left endpoints.
L3
=
L6
=
Sketch the curve and the approximating rectangles for
L3.
Sketch the curve...
Approximate the area under the graph of f(x) and above the x-axis with rectangles, using the...
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.
1) Find an estimate for the area under the graph of f(x)=x^2 from x=0 to x=8...
1) Find an estimate for the area under the graph of f(x)=x^2
from x=0 to x=8 using four rectangles and:
a) left end points
b) right end points
c) mid points
2) Find the volume of a solid obtained by rotating about the
x-axis the region bounded by y=x^3 and y=2x.
Sketch the region, the solid, and a typical disk or washer.
(a) Estimate the area under the graph of f(x) = 4 cos(x) from x = 0...
(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...
Estimate to the hundredth the area from 0 to 2 under the graph of f(x) =...
Estimate to the hundredth the area from 0 to 2 under the graph
of
f(x) = e^x − 3
Using 4 approximating rectangles and midpoints endpoints.
Approximate the net signed area under the graph of y=x-1 curve on [0,2], using rectangles with...
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...
Estimate the area under the graph of f(x) =5 sqrt x. from x=0 to x=4 using...
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
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