H3. 41[₁Sdx. Determine the number of subintervals to satisfy√xthe condition that the error for Trapezoidal Rule will be at most 10-6.9. Given:

The error bound for the Trapezoidal rule is given by the formula E≤b-a312n2maxf''x where a is the…

Answered: 4 S X the condition that the error for…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter8: Areas Of Polygons And Circles

Section8.4: Cicumference And Area Of A Cicle

Problem 22E: What is the limit of mRTS if T lies in the interior of the shaded region?

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By expanding (xh)2+(yk)2=r2, we obtain x22hx+h22ky+k2r2=0. When we compare this result to the form x2+y2+Dx+Ey+F=0, we see that D=2h,E=2k, and F=h2+k2r2. Therefore, the center and the length of a radius of a circle can be found by using h=D2,k=E2 and r=h2+k2F. Use these relationship to find the center and the length of the radius of each of the following circles. x2+y2+4x14y+49=0
What is the limit of mRTS if T lies in the interior of the shaded region?
Find the smallest n required so that the error associated with using the trapezoid rule to approximate I is accurate within 0.0001
Determine the values of n and h required to approximate R02e2xsin(3x)dx towithin 10−4 using the composite trapezoid rule and composite Simpson’s rule.
Show that the square of the length of the subtangent at any point on the curve by2=(x+a)3 (b is not equal to 0) varies with the length of the subnormal at that point
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• Evaluate the following integral:• (a) analytically;• (b) single application of the trapezoidal rule;• (c) composite trapezoidal rule, with n = 2 and 4;
Suppose f(0.25)=f(0.75)=b. If the Composite Trapezoidal rule with n=2 gives the value 4 for \int_0^1 f(x)dx and the value 3 for n=4, what is the value of b?

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4 S X the condition that the error for Trapezoidal Rule will be at most 10-6. 9. Given: dx. Determine the number of subintervals to satisfy