Please answer all questions and the answers in the box are wrong (1 point) Find the area of one leaf of the "four-petaled rose" r 3 sin 29 shown in the following figure where ro 3. Answ...
Problem 3 (12 points) The curve with parametric equations (1 + 2 sin(9) cos(9), y-(1 + 2 sin(θ)) sin(0) is called a limacon and is shown in the figure below. -1 1. Find the point (x,y 2. Find the slope of the line that is tangent to the graph at θ-π/2. 3. Find the slope of the line that is tangent to the graph at (,y)-(1,0) ) that corresponds to θ-π/2. Problem 3 (12 points) The curve with parametric equations...
Find the area of the specified region. 15) Inside one leaf of the four-leaved rose r 7 sin 2θ 16) Shared by the circles r 3 cos 0 and r-3 sin 17) Make sure you can also convert from Cartesian coordinates to polar form and find where on parametric and polar equations there are horizontal and vertical tangent lines. Find the area of the specified region. 15) Inside one leaf of the four-leaved rose r 7 sin 2θ 16) Shared...
please solve it with polor coodinate graph 4. Find the area. a. Inside one leaf of the three-leaved rose cos30 r= b. Shared by the circle r 2 and the cardioid r 2(1+sin 0) c. Inside the circle r-3 cos 0 and outside the cardioid r=1 - cos0 d. Inside the circle r 4 sin0 and below the horizontal line r 3 csc e. Inside the outer loop of the limason r1-2 cos f. Inside the lemniscate 6 sin20 and...
5. The graphs of the polar curves r-4 and r-3 + 2 cos θ are shown in the figure above. The curves intersect 3 (a) Let R be the shaded region that is inside the graph of r-4 and also outside the graph of r 34 2 cos θ, as shown in the figure above. Write an expression involving an integral for the area of R. (b) Find the slope of the line tangent to the graph of r :-3...
5. Consider the polar graphs, r = 1-sin θ and r = sin θ , shown in the figure below. Find the polar coordinates (r, θ) for all the points of intersection on the figure. a) b) Find the area of the region that lies inside both the graph of r-1-sin θ and Find the slope of the line tangent to the graph of r-1-sin θ at θ-- Find a Cartesian equation for the line tangent to the graph of...
The curve shown below is called a Bowditch curve or Lissajous figure. Find the point in the interior of the first to the curve is horizontal, and ind the equations of the two tangents at the origin. What is the point in the interior of the frst quadrant where the tangent to the curve is horizonta? an ordered pair. Type an exact answer, using radicals as needed ) What is the equation of the tangent at the origin when t...
Please Answer the Following Questions (SHOW ALL WORK) 1. 2. 3. Sketch the following region R. Then express Sfer f(r,0)dA as an iterated integral over R. R The region inside the lobe of the lemniscate ? = 6 sin 20 in the first quadrant. Sketch the region R. Choose the correct graph below. OA. OB. OC. OD AY 47 AY 47 4 4- 2 2- X X 0 Sketch the region and use integration to find its area. The region...
PLEASE do them all Use the rectangles in the following graph to approximate the area of the region bounded by y cos x, y 0, x-. and x 0.8+ 0.6+ 0.4+ 02+ 0.522 1.568 -1.57 -0.524 1.57 0.001 1.045 -1.047 3.1400 1.5700 0.7850 1.1775 2.0933 Use the rectangles in the graph given below to approximate the area of the region bounded by y y 0, x 1 , and x= 4. Round your answer to three decimal places. 7 6...
PLEASE BOX ALL ANSWERS FOR A THUMBS UP Consider the circuit shown in (Figure 1). Suppose that R = 7 kN. Find the current i, in the circuit by making a succession of appropriate source transformations. Express your answer to three significant figures and include the appropriate units. uA ? io = Value Units Submit Previous Answers Request Answer X Incorrect; Try Again; 5 attempts remaining Check your signs. Figure Part B 1 of 1 Work back through the circuit...
please, answer all questions Question 3 For Figure 1 use Kirchhoff's Laws to find the currents 11, 12 and 13, and find the total resistance of the circuit. Total 10 marks Space to answer Question 3 here RI R; 492 1 1, 192 + + 12 22 B 28 V R2 7V B2 Figure 1: Question 4 a) Two 8k resistors are connected as a potential divider with a supply p.d. of 20 mv. What is the current flowing and...