1. Find the Riemann sum for f(x) = cos(z).cos(28) +2 in 1 € (-10,10). Exact solution...
Estimate the area of the region bounded by the graph of f(x)-x + 2 and the x-axis on [0,4] in the following ways a. Divide [0,4] into n = 4 subintervals and approximate the area of the region using a left Riemann sum. Illustrate the solution geometrically. b. Divide [0,4] into n = 4 subintervals and approximate the area of the region using a midpoint Riemann sum· illustrate the solution geometrically. C. Divide [04] into n = 4 subintervals and...
b) The rectangles in the graph below illustrate a right endpoint Riemann sum for f(x) = 1, on the interval [2,6). The value of this Riemann sum is , and this Riemann sum is an overestimate of the area of the region enclosed by y = f(x), the x-axis, and the vertical lines x = 2 and X = 6. 1 2 3 4 5 6 7 8 Riemann sum for y = x; on [2,6] Preview My Answers Submit...
Use a Riemann sum with n=2 rectangles to estimate the area under the curve f(x) =3x2 +1 on the interval between x = 1 and x = 5. Get the heights from the left hand sides. What is the value of this Riemann sum? It has been determined that the cost of producing a units of a certain item is 5x + 325. The price per item is related to x by the equation p = D(x) = 50 -...
Consider the graph 12 10 6, 9) y-f(x 8 (2, 7) (4, 5) (0, 3) (8, 0) 10 (a) Using the indicated subintervals, approximate the shaded area by using lower sums s (rectangles that lie below the graph of f) (b) Using the indicated subintervals, approximate the shaded area by using upper sums S (rectangles that extend above the graph of f) +-14 points SullivanCalc1 5.1.019 Approximate the area A under the graph of function f from a to b...
Consider the parametric curve given by x(t) = 16 sin3(t), y(t) = 13 cos(t) − 5 cos(2t) − 2 cos(3t) − cos(4t), where t denotes an angle between 0 and 2π. (a) Sketch a graph of this parametric curve. (b) Write an integral representing the arc length of this curve. (c) Using Riemann sums and n = 8, estimate the arc length of this curve. (d) Write an expression for the exact area of the region enclosed by this curve.
Evaluate the Riemann sum for f() = 1.2 – 2² over the interval (0, 2) using four subintervals, taking the sample points to be left endpoints. L4 Report answers accurate to 3 places. Remember not to round too early in your calculations. Screen Shot 2020-07-23 at 8.57.43 AM Search over the interval (3, 8) using five approximating Estimate the area under the graph of f(x) rectangles and right endpoints. R. Repeat the approximation using left endpoints. L. Report answers accurate...
Use left and right endpoints and the given number of rectangles to find two approximations of the area of the region between the graph of the function and the x-axis over the given interval. (Round your answers to four decimal places.) f(x) = cos(x), [0, π/2], 4 rectangles
full steps and how to solve please 1. Let y-x'. a) Using 4 rectangles of equal width (Ar-2 )and the right endpoint of the subinterval for the height of the rectangle, estimate the area under the curve on the interval [0,8. Then sketch a graph of the function over the interval along with the rectangles. b) Using 4 rectangles of equal width (Ax 2 and the left endpoint of the subinterval for the height of the rectangle, estimate the area...
Evaluate the Riemann sum for f(x) = 2x - 1,-6 SXS 4, with five subintervals, taking the sample points to be right endpoints. Explain, with the aid of a diagram, what the Riemann sum represents. y y 7H 7 5: 5 3 3 1 1 -6 - 4 2 2 -3 -7H -74 -9 -9 -11 -11 -13 -13 WebAssign Plot -13 y 7H у 77 5 5 3 3 1 1 -6 -4 -2 -6 -4 -3 -3 -5H...
Consider the following probability density function: -x-1/2e-z/2 for x > 0. f(x) = the area under the curve (integral) is equal to one, then: i) Compute the mean of the function numerically based on the principle: rf (x) dr ES Where S is the set of values on which the function is defined i Compute the median y where: f(z) dz = Where m is the minimum value on which the function is defined. Consider the following probability density function:...