question 2, please show work U. (5 punts) Fullu pulal Coulunales ,DJ UI te punt weer...
please answer the question and show all your work
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Then graph it. 5) (15 points) a) Sketch the graph of the curve r = 1 + sin 8 for 0 SO S2 b) Find the slope of the tangent line to this curve at 0 = c) Find the polar coordinates of the points on this curve where the tangent line is horizontal
number 1and2
Turn in the following problems at the start of your Thursday recitation section To receive full credit, please staple your work, and put your name, your section number, and the homework number at the top. 1. (a) Find a Cartesian equation for the polar curve 3 sin 4 +4cos 6. (b) Use the Cartesian equation you found in part (a) to graph the curve. What is its geometric shape? 2 Carefully sketch the curve wheose polar equation isr...
please don't write in Cursive as i cant read it. And please
write it in a clear handwritting. NO CURSIVE please
8. Given the polar equation r = 1 + cos (30) (a) Sketch the curve. (b) Find the area enclosed by the curve. (c) Set up the integral for the arc length of the curve with 0 <0s (d) Find the equation for the line tangent to the curve at 0 = 2 Show all work. (5 points) (10...
5. In class we saw that the function r(u, v) = (sin u, (2 + cos u) cos v, (2 + cos u) sin v), 0<u<27, 050521 parametrizes a torus T, which is depicted below. (a) Calculate ||ru x rull. (b) Show that T is smooth. (c) Find the equation of the tangent plane to T at (0,). (d) Find the surface area of T (e) Earlier in the semester, we observed that a torus can be built out of...
Consider the polar graph r=1-sin theta and r= sin theta, shown
below.
Please help with B, D, and E
5. Consider the polar graphs r = 1-sin 0 and r = sin 0, shown below. a. Find the polar coordinates (r, 2) for all points of intersection on the figure. Hint: Not all points can be found algebraically. For b.-d., set up an integral that represents the area of the indicated region. b. The region inside of the circle, but...
please show work and answer 12,13,14,15
Question 12:11 point) **(*)-. And y) (3) () 30 0 120 c) 60 (420 72 Question 13:11 point Find the interval on which f(x)-1 s increasing () (- . 1] (d) (- *. 3] (*) (-, 2] Question 14: (1 point) Find or slope of the tangent link to the curvoy- t at the point ( 1 ) a) 14 144 c) -12 02 (e)-1 Question 15: point Penang through the origin (0,0). There...
please help me and show all the steps and make sure it's
correct
[10pts.) 5. Find dy and the equation of the tangent line at the point (x,y)=(-2, 0) on the curve r = 21-sin(@)). Include a graph of the polar curve with the orienation indicated. dx [10 pts.) 6. Graph the polar equations r = 5 cos(30) and r = 3cos() for --/2S15 /2. Label any key points needed to find the area that lies in the common interior...
please show work and explain each part clearly
9. The curve given by its equation in polar coordinates: r = 1+ cose. The graph of the curve is shown on the graph below. a) (Spes) Find the slope of the tangent to the curve at the point where ark (draw) the tangent on the graph below. b) (7pts) Find the area of the region bounded by the curve in the first quadrant
Please show all work
Thank you!
(20% 2.) we have an infinite line current that generates a magnetic field-y sin(a)in free space 2 rx (e, ), in the vicinity of a square loop located on the xz plane. Each side of the square loop has a length of l cm, and its left bottom, vertex is located at (x = 1 cm, z = 0). The loop carries a resistor with a resistance R 1 Ω, and the magnitude of...
Show work please!
The curve (x,y) = (t3 – 4t, 2t) is graphed at right. 1. (12 pts) Find the area inside the loop of the curve. Ő 2. (4 pts) Write an expression for the length of the curve in the first quadrant. (Do not evaluate.) 3. (8 pts) Find the (x,y) point in the first quadrant where the curve has a vertical tangent line.