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osts 1 = e' sint y=e' cost parametric equation of the curve part; a) find the...
3. Graph the region bounded by the parametric curve x cost and y = et where 0 t Find the length of the curve. b. Find the surface area of revolution when the region is revolved around the y -axis. a. 3. Graph the region bounded by the parametric curve x cost and y = et where 0 t Find the length of the curve. b. Find the surface area of revolution when the region is revolved around the y...
Graph the curve whose parametric equations are given and show its orientation. Find the rectangular equation of the curve. x=5 cost. y 3 sint Osts 2x Choose the correct graph below ОА OB Ос OD Q Determine the rectangular equation of the curve. Choose the correct answer below. Ox+y? - 34 O 25x + 9 = 1
Question 11 Find the constanta if the length of the curve given by the parametric equations is 47 = a cost, y= a sint; osts
given by: Calculate the length of the curve ya Rae sint X-va e cost Osts I over
3) a) Sketch the curve represented by the given parametric equations. Label initial and terminal points. Use an arrow to show direction. x = 2cost y = 3 sint osts b) Find the area between the curve and the x axis.
Graph the curve whose parametric equations are given and show its orientation. Find the rectangular equation of the curve x=7 cost. y sint Osts 2x Choose the correct graph below. OA OB Ос. OD @ Determine the rectangular equation of the curve. Choose the correct answer below. Oxy7:16 40 O o 36 40 1 0 40x3y1
8) The part of the curve y = ex + e- x/2 between the points A (0,1) and B (1, e2 +1/2e) is given. a- Take and edit the derivative of the given function. b- Write and edit the integral that gives the surface area of the object formed by rotating the given part around the y axis. (Hint = write the integral according to x.) C-Solve the integral.
Question 20 0.1 p1 Find a rectangular equation for the plane curve defined by the parametric equations. x = 5 cost, y = -2 sint; Osts 21 4x2 + 25y2 = 100;-5 sxs 5 O 4x2 - 25y2 = 1;xzı 4x2 - 25y2 = 100; x 25 O 4x2 + 25y2 = 1;-} sxs O None Question 21 0.1 pts Solve.
6. Find the area of the surface obtained by rotating the curve * = e* sin(t), y=e'cos(t), osts about the x-axis.
Let S be the ‘football’ surface formed by rotating the curve y = 0, x = cos z for z ∈ [−π/2, π/2], around the z-axis. Find a parametrization for S, and compute its surface area. Please answer in full With full instructions. Let S be the 'football, surface formed by rotating the curve y = 0, x-cosz for-E-π/2, π/2], around the z-axis. Find a parametrization for S, and compute its surface area 3 Let S be the 'football, surface...