

8 s) Sketch the polar curve: 5cos(40) Show a table of values (using multiples of Pi/12) and graph the curve on the polar grid provided. Your points from the table should be visible on the graph 9...
2, (20 pts) Consider the polar curve r-2 + cos48 for 0 θ 2n (a) Graph this curve and determine the points farthest from the origin. What values of 8 give these points? (b) Determine the points closest to the origin, what values of θ give these points? (c) Find the area bounded by this polar curve. (d) Find the length of this polar curve.
2, (20 pts) Consider the polar curve r-2 + cos48 for 0 θ 2n (a)...
AME: 2. (24pts) Consider the curve given in polar coordinates by r-12 cos(0) Vsin(0), (0 0 < #). (i) Make a table of the values of the function f(0)--12 cos(0)/sin(0) /6 /4 n/3 5m/12 m/2 7m/12 2n/3 3n/4 5n/6 11 m/12 f(0) are to be rounded to two decimal places. (Hint. Given on 0, r); all the values f(0) an angle 9, enter the value of 0 to the variable C of your calculator, and then evaluate /(0) using the...
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10. Find the area enclosed by the polar curve 2 11 cos (80). 11T Hide Elapsed: 0000 27 Instructions O22π 11. This question is worth 20 points. You must complete both parts. Parts (a) and (b) are not related and should be answered as separate, distinct problems. θ2,0 θ (a) (10 points) Graph the polar curve r (b) (10 points) Find the surface area given by rotating the curve ya froma1 to 3 about the z axis. 12. This...
NAME Q2. (24pts) Consider the eurve given in polar coordinates by 11 sin(0)Veos(). (-/ 2 < e</2) . r 6) Make a table of the values of the function f()- 11 sin(0) /co0) -Se/12)-/3-/4 6-/12 /12 | /6 /4 /3 | 5/12 -/2 tatwatwlaat on 1-r/2./2: all the values f(0) are to be rounded to two decimal places, (Hint. Ciaen an angle 0, enter the value of to the variable C of your caleulator, and then evaluate f(e) using the...
You are given the table below. 16 20 4 8 12 X f(x) 12 2417 6 30 Use the table and n = 4 to estimate the following. Because the data is not monotone (only increasing or only decreasing), you should sketch a possible graph and draw the rectangles to ensure you are using the appropriate values for a lower estimate and an upper estimate. 20 f(x)dx lower estimate upper estimate Estimate the area of the region under the curve...
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...
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1. (40 points) Consider the following five observations. (9 points) (x-x) (x - x) (y- y) (x - x)(y-y) 2*- {x = 1012 (-:-)= {(x - 1)2 = 20;-)) = (x x)(y- » a) (6 points) What are the sample means of x and y? b) Complete the entries in the table above. Put the sums in the last row. (Show work below) c) Calculate Bo and write out the equation for the fitted...
For problems 8-12, use the graph of y=f(x) and the table for g(x) and g'(x) to compute the indicated derivatives. Write your final answer and only your final answer) in the space provided. Answers should be exact and fractions should be used where appropriate (do not use numbers in decimal form). 1 -4 -2 g(x) 2 5/2 3 14/5 &'(x) 7/5 1/2 1/4 -1/4 0 2 قيا 2 - 1 -2 - 1/2 4 0 5 6 8 1 6...
2. Calculate the velocity at each time (except the first and the last one) by using values immediately after and before those times: the tn-- For example, the velocity at point 2 is n Time t (s) Position x (m) Velocity v (m/s) vt (unit-mls) aGou .245 8 3,abus 1.553 3. calculate v/t (what are the units?) and write it in column 5 of the table above. Calculate its average and its uncertainty: Average uncertainty: 4. On the graph paper,...
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Problem #6 (15 points) A 12-bit hamming code was generated from an 8-bit code using the format as follows Original 8-bit value Modified 8-bit value (12-bt hamming code format) 10 9 C3 co The 12-bit hamming code was transmitted over a communication channel. An error may or may not have occurred during the transmission. The received 12-bit values were shown as follows: Received 12-bit value 10 Determine whether an eror had been occurred,...