Consider the given function.
f(x) = 3 sin(6x) text(, ) 0<=x<=(3pi)/2
(a) Find the Riemann sum with six terms, taking the sample points to be right endpoints. (Give your answer correct to six decimal places.)
R6 =

(b) Repeat part (a) with midpoints as sample points. (Give your answer correct to six decimal places.)
M6 =

  1. 👍
  2. 👎
  3. 👁
  1. Divide your integration domain by 6
    delta x = [(3 pi/2) - 0] / 6
    delta x = pi/4
    Label your 7 X values
    Xo = 0 , X1 = pi/4, X2= pi/2, X3 = 3 pi/4, X4 = pi, X5 = 5 pi/4, X6 = 3 pi/2

    calculate f(x) at X1 through X6
    (You do not need f(Xo) because you are taking right side of rectangles not left side)
    Add those 6 values of f(x) and multiply by delta x

    the end

    1. 👍
    2. 👎
  2. ( I told you how to do midpoints in the other problem )

    1. 👍
    2. 👎
  3. Перезвоните пожалуйста по телефону 8 (499) 322-46-85 , Валерий.

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Calculus

    Which of the following definite integrals could be used to calculate the total area bounded by the graph of y = sin(x), the x-axis, x = 0, and x = π a) ∫ from π to 0 sin(x)dx b) ∫ from π to 0 -sin(x)dx c) 2∫ from π to 0

  2. calculus

    Find complete length of curve r=a sin^3(theta/3). I have gone thus- (theta written as t) r^2= a^2 sin^6 t/3 and (dr/dt)^2=a^2 sin^4(t/3)cos^2(t/3) s=Int Sqrt[a^2 sin^6 t/3+a^2 sin^4(t/3)cos^2(t/3)]dt =a Int

  3. Math

    The graph of a trigonometric function oscillates between y=1 and y=-7. It reaches its maximum at x= pi and its minimum at x=3pi. which of the following could be the equation of the function? A) f(x)=4 cos x/2-3 B) f(x)=4 sin x/2-3

  4. Calculus

    I am trying to find the integral of e^(6x)sin(7x). Apparently, the answer is (6e^(6x)sin(7x) - 7e^(6x)cos(7x))/85) + C and achieving the answer is mostly understandable since it involves integrating the function in parts... that

  1. math

    1)In triangle ABC, C=60 degrees, a=12, and b=5. Find c. A)109.0 B)10.4 C)11.8 D)15.1 I chose B 2)Which triangle should be solved by beginning with the Law of Cosines? A)A=115 degrees, a=19, b=13 B)A=62 degrees, B=15 degrees, b=10

  2. math

    For some constants $a$ and $b,$ let \[f(x) = \left\{ \begin{array}{cl} 9 - 2x & \text{if } x \le 3, \\ ax + b & \text{if } x > 3. \end{array} \right.\]The function $f$ has the property that $f(f(x)) = x$ for all $x.$ What is $a +

  3. calculus

    1. Find the average value have of the function h on the given interval. h(x) = 2 cos4(x) sin(x), [0, π] 2. Consider the given function and the given interval. f(x) = 6 sin(x) − 3 sin(2x), [0, π] (a) Find the average value fave

  4. Calculus

    Find all points on the graph of the function f(x) = 2 sin(x) + (sin(x))^2 at which the tangent line is horizontal. Consider the domain x = [0,2π).

  1. calc

    i did this problem and it isn't working out, so i think i'm either making a dumb mistake or misunderstanding what it's asking. A particle moves along the x axis so that its velocity at any time t greater than or equal to 0 is

  2. Precalculus

    Rewrite as single trig function: sin(8x)cosx-cos(8x)sinx I know I can simplify sin(8x) into 4sin2xcos2xcos4x, but I'm stuck after that

  3. inverse

    If f(x)=cosx + 3 how do I find f inverse(1)? Thanks y = cos(x) + 3 the inverse of this is x = cos(y) + 3 solve for y and you have your inverse The cos function only has a range of [-1,1], so the range of f(x) is [2,4]. this means

  4. calculus

    In electrical engineering, a continuous function like f(t)=sin(t), where t is in seconds, is referred to as an analog signal. To digitize the signal, we sample f(t) every ∆t seconds to form the sequence Sn= f(n∆t). For

You can view more similar questions or ask a new question.