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In: Math
Approximate the area under the graph of f(x)=0.03x4−1.44x2+58 over the interval [2,10] by dividing the interval...
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 ...
Solutions
milcah answered 2 years agoRelated Solutions
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.
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 =
Estimate the area under the graph of f(x)=1/(x+4) over the interval [-1,2] using five approximating rectangles...
Estimate the area under the graph of f(x)=1/(x+4) over the
interval [-1,2] using five approximating rectangles and
right endpoints.
Rn=
Repeat the approximation using left endpoints.
Ln=
Find the area under the graph of f over the interval left bracket 7 comma 9...
Find the area under the graph of f over the interval
left bracket 7 comma 9 right bracket[7,9].
f(x)equals=StartSet Start 2 By 2 Matrix 1st Row 1st Column 4 x
plus 9 comma 2nd Column for x less than or equals 8 2nd Row 1st
Column 81 minus 5 x comma 2nd Column for x greater than 8
EndMatrix
4x+9,
for x≤8
81−5x,
for x>8
The area is
nothing.
2)
Find the area of the region bounded by the graphs...
Find the approximate area under the curve by dividing the intervals into n subintervals and then...
Find the approximate area under the curve by dividing the
intervals into n subintervals and then adding up the areas of the
inscribed rectangles. The height of each rectangle may be found by
evaluating the function for each value of x. Your instructor will
assign you n_1 = 4 and n_2 = 8.
1. y=2x√(x^2+1) Between x = 0 and x = 6 for n1 = 4, and n2 =
8
2. Find the exact area under the curve using...
Find the approximate area under the curve by dividing the intervals into (n) subintervals and then...
Find the approximate area under the curve by dividing the
intervals into (n) subintervals and then adding up the areas of the
inscribed rectangles. The height of each rectangle may be found by
evaluating the function for each value of x. Your instructor will
assign you (n1) and (n2) y = 2x square root x^2 + 1 between x = 0
and x = 6 for n1 = 4 and n2 = 8 Find the exact area under the curve...
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 f(x) = 10x - x2, above the x-axis, on [1,7] with n...
approximate the area under f(x) = 10x - x2, above the
x-axis, on [1,7] with n = 6 rectangles using the left and right
endpoint, trapezoidal rule and midpoint methods (include summation
notation and endpoint values) and then find the exact area using a
definite integral (include a graph with shaded region)
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