only answer if you can write it neat so I understand. thanks.
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only answer if you can write it neat so I understand. thanks. 5) Find the average...
a. Write and simplify the integral that gives the arc length of the following curve on the given integral. b. If necessary, use technology to evaluate or approximate the integral. z 8 y 2 sin x on 9' 9 a. Set up the integral that gives the arc length of the curve. Select the correct choice below and fill in the answer box to complete your choice.
a. Write and simplify the integral that gives the arc length of the...
Please show full solutions so i can understand
3. (i) 3pl Set up iterated integrals for both orders of integration forev dA, where D is the region in the ry-plane bounded by y -,4, and z-0 (ii) [3p] Evaluate the double integral in part (i) of this question using the easier order of integration. (ii) [3pl Find the average of the function f(, y) yey over the region D.
3. (i) 3pl Set up iterated integrals for both orders of...
please help! I cannot figure
this out.
The graph below is of the curve defined parametrically by: x-sin t and y- sin 2t -0 5 0.5 -1 (a) SET UP THE INTEGRAL TO FIND THE AREA OF THE REGION ENCLOSED BY THE CURVE AND EVALUATE (b) SET UP THE INTEGRAL TO FIND THE LENGTH OF THE CURVE TRAVERSED EXACTLY ONCE. DO NOT EVALUATE. SIMPLIFY TO JUST BEFORE MAKING A SUBSTITUION. (c) SET UP THE INTEGRAL TO FIND THE TOTAL DISTANCE...
Consider the curve y = 4 + (2x - 1)3/2 on the Interval 0.5 5 * 5 1. The graph is shown below. 4.5 0.4 0.6 0.8 1 1.2 [4] (a) Find the arc length of this curve on the interval 0.5 SX S1. [3] (b) Set up but do not evaluate an integral for the surface area obtained by rotating this curve on the interval 0.5 SXS l about the x-axis.
36a and 37
12:41 - A A) a a lies between the points (0,0) and (1,1). If your CAS has trouble evaluating the integral, make a substitution that changes the integral into one that the CAS can evaluate. 33. Sketch the curve with equation x2/3 + y2/3 = 1 and use symmetry to find its length. 34. (a) Sketch the curvey - x (b) Use Formulas 3 and 4 to set up two integrals for the are length from (0,0)...
May you please explain all steps? I want to
understand this and am so confused.
Thanks!
1. (25 pts) Let F(x, y, z) = (2xy + 25)i + (4.r?y3 + 2yz?)j + (5.624 + 3y222)k and let C be the curve given parametrically by r(t) = (3t+1)i + tºj + 5tk for 0 <t<1. Evaluate the line integral (Fd
9. Set up the necessary intervals to find the average value of the function /(x,y)=x' +4y2 - 4 over the ellipse 4x² + y2 = 4. Use technology to evaluate the integral. Give the exact answer.
14. (5 points) Find a polar equation for the curve represented by ? + y2 = 4. Use the polar equation to set up and evaluate an integral that gives the length of the curve on the interval 0 SO S 2.
Please write out all the steps clearly so
that I can understand. Thanks.
Problem 6. (10 points; 2 points for each subquestion) Let f(x) = x + - Answer the following questions. (1) Find the domain and range of f(x). (2) Find the critical points of f(x). (3) Find the intervals where f(x) is increasing, and intervals where f(x) is de- creasing. (4) Find the inflection points of f(x). (5) Find the intervals where f(x) is concave up, and intervals...
solve it ,i need urgent, no need to write neat and clean..
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6. Let i +22 B(2) 4- 2iz (a) Find the smallest positive real value M such that for every z on the closed unit disk D, B2)<M. [6] (b) A particle on the complex plane is trapped within a wall built along the unit circle. It travels from –i to e3«i/4 and then bouncing from e3wi/4 to 1. Denote by y the curve representing the trajectory...