Tuesday

July 29, 2014

July 29, 2014

Posted by **Kristin** on Monday, May 2, 2011 at 10:30pm.

x |0|2|4|6

f(x)|4|K|8|12

The trapezoidal approximation for(the integral):

6

S f(x) dx

1

found with 3 subintervals of equal length is 52. What is the value of K?

How do you do this with the formula

b-a/(2n) * f(x0) + 2(fx1) + f(xn)?

- calculus -
**Iza**, Tuesday, May 3, 2011 at 7:27pmThe formula for the area of a trapezoid is 1/2(b_1 + b_2)h where h = delta (x)

Therefore, A = 1/2(4+k)2 + 1/2(k+8)2 + 1/2(8+12)2 = 54

Solving that equation yields k = 10.

**Related Questions**

Calculus - The function f is continuous on the closed interval [1,7] and has ...

Calculus - I am doing the AP calculus review, these are the questions I have no ...

calculus - The function f is continuous on the closed interval [0,2] and has ...

Calculus IVT - The function f is continuous on the closed interval [0,6] and ...

Calculus - The function f(x)=(x^4)-(10x^3)+(18x^2)-8 is continuous on the closed...

Calculus - COnsider g(x)=(8)/(x-6) on (6,13) (a) Is this function continuous on ...

Calculus - COnsider g(x)=(8)/(x-6) on (6,13) (a) Is this function continuous on ...

Calculus - COnsider g(x)=(8)/(x-6) on (6,13) (a) Is this function continuous on ...

Simpson's rule - Is the simpson's rule always more accurate than the midpoint ...

calculus - In the following problem, suppose f(x) is continuous (and ...