Sketch the polygons used for each of the following area approximations of sfoddx : (Use an...
Please show all work and answer
5) For each of the integrals in problems a c below, first sketch the corresponding area, and then approximate the area using the right and left endpoint approximations and the Trapezoid Rule, all with n = 4 . From your sketch alone determine if each approximation is an overestimate, an underestimate, or if there is not enough information to tell. Finally determine the value of n for which the Simpson Rule would approximate the...
The left, right, Trapezoidal, and Midpoint Rule approximations were used to estimate r(x) dx, where f is the function whose graph is shown. The estimates were 0.7819, 0.8664, 0.8631, and 0.9510, and the same number of subintervals were used in each case. y=f(x) (a) Which rule produced which estimate? Ln - Rn- To- Mn- fx) dx lie? (b) Between which two approximations does the true value of (smaller value) (larger value)
The left, right, Trapezoidal, and Midpoint Rule approximations were...
The left, right, Trapezoidal, and Midpoint Rule approximations were used to estimate f(x) dx, where f is the function whose graph is shown below. The estimates were 0.7811 0.8675, 0.8632, and 0.9540, and the same number of subintervals were used in each case. (a) Which rule produced which estimate? ?1. Trapezoidal Rule estimate 2. Right-hand estimate 3. Left-hand estimate N4. Midpoint Rule estimate (b) Between which two approximations does the true value of o fa) dx lie? A. 0.8675 β...
6. (6 pts) (x)-4-2x on [0,4] a. b. Sketch the function on the given interval. Approximate the net area bounded by the graph of f and the x-axis on the interval using a left, right, and midpoint Riemann sum with n-4 c. Use the sketch in part (a) to show which intervals of [a,b] make positive and negative contributions to the net area. (4 pts Use geometry (not Riemann sums) to evaluate the following definite integrals Sketch a graph of...
Given the following function, f(x) xe * on [-1,1]: 7.1. Approximate the net area bounded by the graph of f and the x- axis on the interval using a left, right, and midpoint Riemann sum with n = 4. (8 Marks) 7.2 Sketch the graph of the function and show which intervals of [a, b] make positive and negative contributions to the net area. (2 Marks) [Sub Total 10 Marks]
The pairs of polygons are similar. Find the missing length for each side of the polygons. Round your answers to one decimal place. Part 1 out of 2 a. AABC - ADEF 3 А 6 2.5 20 E B. 48 с AC 5 attempts left Check my work Next part 9.jpg A Type here to search 이 DIO 66 % 2 3 5 6 7 W E R. F G H
please solve b and c
3. Use the following steps to sketch the graph of each of the following functions. Step 1: Find the domain. Step 2: Find the y-intercept and all x-intercepts. Step 3: Decide if the function has any symmetry: odd, even, periodic. Step 4: Find any horizontal or vertical asymptotes. Justify using limits. Step 5: Find the critical numbers and determine intervals of increase/decrease. Step 6: Identify all local extrema. State as ordered pairs. Step 7: Determine...
Consider the following. y 24 y = f(x 12 Y 24 12 (a) Use six rectangles to find estimates of each type for the area under the given graph of ffrom x = 0 to x 36 (i) Sample points are left endpoints. L6 = (ii) Sample points are right endpoints. R6 are midpoints (ii) Sample points M6 (b) Is L an underestimate or overestimate of the true area? overestimate underestimate underestimate or overestimate of the true area? (c) Is...
Analyze and sketch the graph of each function. Local intercepts, relative extrema, points of inflection and asymptotes. State for each problem the following: domain, range, intercepts, symmetry, asymptotes (horizontal and/or vertical asymptotes), critical numbers, points of inflection. a. \(Y=x^{2}+1 / x^{2}-9\)b. \(Y=x^{2} / x^{2}+3\)c. \(\mathrm{Y}=\frac{1}{3}\left(x^{2}-3 x+2\right)\)d. \(\mathrm{F}(\mathrm{x})=\frac{1}{x e^{x}}\)e. \(F(x)=x^{5}-5 x\)
Complete the following steps for the given function, interval, and value of n a. Sketch the graph of the function on the given interval b. Calculate Ax and the grid points Xo...... c. Illustrate the left and right Riemann sums, and determine which Riemann sum underestimates and which sum overestimates the area under the curve d. Calculate the left and right Riemann sums. f(x)=2x2 +5 on 12.7); n = 5 a. Sketch the graph of f(x)2? +5 on the interval...