Please show full workings for both parts of the answer because I
keep getting the answer wrong. Thumbs up will be given to the
workings with correct answers!
(b)
Please show full workings for both parts of the answer because I keep getting the answer wrong. Thumbs up will be given...
Please show full workings for both parts of this answer because
I keep getting the answer wrong. Thumbs up will be given to the
workings with correct answers!
5. Find the area of the rectangle defined by the line y 2 from-0 to -3 in two different ways: (a) By using simple geometry and the area of a rectangle formula. Draw a picture! (b) By setting the area up as a definite integral and evaluating the limit of the Rie-...
Please show full workings to both parts for the answer because I
keep getting the answer wrong. Thumbs up will be given to the
workings with correct answers!
4. Consider the following limit im 7l (a) Express this limit as a definite integral (like question 1(a) and 2, but backwards!) Final answer: (b) Evaluate the limit. Final answer:
4. Consider the following limit im 7l (a) Express this limit as a definite integral (like question 1(a) and 2, but backwards!)...
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...
5. (12 pts.) Consider the region bounded by f(x) 4-2x and the x-axis on interval [-1, 4] Follow the steps to state the right Riemann Sum of the function f with n equal-length subintervals on [-, 4] (5 pts.) a. Xk= f(xa) (Substitute x into f and simplify.) Complete the right Riemann Sum (do not evaluate or simplify): -2 b. (1 pt.) lim R calculates NET AREA or TOTAL AREA. (Circle your choice.) Using the graph, shade the region bounded...
17. Given the function f(x) = x2 + 3: Use the Riemann sum and the limit definition to find the area between f(x), the x-axis, x = -1 and x = 3. (Each part is worth 2 points) a. What is Ax? b. What is f(c)? C. Set up the limit that you would take to find the area. Do not find the area. d. Set up a definite integral that solves the problem.
Please help with 1-10 and please show all work thanks.
Show all of your work neatly, and express solutions as exact answers unless otherwise requested. No credit will be given to solutions that have no work shown! BOX or CIRCLE your final answer. 1. Sketch a graph and shade the area of the region bounded by the following equations. Set up an integral that would give this area. 2x + y2 = 6 and y=x+1 2. Sketch a graph and...
11. (7pts) Set up an expression for | 2*3z* dr as a limit of sums. (That is, set up the infinite Riemann sum.) You do not have to evaluate the sum! 12. (10pts)Find the area between the curves f(x) = -2x and g(x) = x2 + 7x + 6. 13. (10pts) Find the volume of the solid obtained by rotating the region bounded by y = Væ+3, x = 4, and y = 0 about the x-axis.
5. The Area of a Plane Region. (15 points) a. Find the left Riemann sum for the region bounded by the graph of f(x) = x2 + 2x + 3 and the x-axis between x = 0 and x = 2. (Limit Definition) b. Use Fundamental Theorem of Calculus to solve part a. n с = пс Ži=n(n+1) n(n + 1)(2n +1) 6 =1 i=1 O, O A &
5) Given the function fix.y) - x2 and region R bounded by x 0, y x and 2x+y 6 (a) Sketch the region R (label lines, intercepts, axes and shade region) (b) SET UP the integral over this region (c) Assuming f(x.y)- xa is the density function for the lamina R given above, determine the mass for R
5) Given the function fix.y) - x2 and region R bounded by x 0, y x and 2x+y 6 (a) Sketch the...
Use a definite Integral to find the area of the following region bounded by the given curve, the x-axis, and the given lines in each case, first sketch the region. Watch out for areas of regions that are below the x-axis yox?x-2.x=1 Choose the correct graph below. OA Oc OD OB 5 The total area of the region is (Type an integer or a fraction