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The curve (x,y) = (t3 – 4t, 2t) is graphed at right. 1....
slope of the line tangent to the curve x = t3 - 2, y = 4t,...
slope of the line tangent to the curve x = t3 - 2, y = 4t, at t = 2
Right strophold has equation y--x2, with c a positive constant. strophoid with c 4 is graphed to ...
Please show clear steps.
I really appreciate it.
right strophold has equation y--x2, with c a positive constant. strophoid with c 4 is graphed to the right. Use polar coordinates to show that the area of the loop is 2 -2 Parametrize the strophoid, letting t be the slope of the line segment connecting a given point on the curve and the origin. In other words, let y -tx, substitute into the equation of the strophoid, and write x and...
For the following equations : x= 2t^2 , y = 3t^2 , z= 4t^2 ; 1 <=t <=3 A) write the position vector and tangent ve...
For the following equations : x= 2t^2 , y = 3t^2 , z= 4t^2 ; 1 <=t <=3 A) write the position vector and tangent vector for the curve with the parametric equations above B) Find the length function s (t) for the curve C) write the position vector as a function of s and verify by differentiation that this position vector in terms of s is a unit tangent to the curve.
1. The polar curves r@) = 1 + 2 sin(39), r = 2, are graphed below. 2 (a) Find the area inside the larger loops and outside the smaller loops of the graph of r 12 sin(30). [Hint: Use symmetry, the ans...
1. The polar curves r@) = 1 + 2 sin(39), r = 2, are graphed below. 2 (a) Find the area inside the larger loops and outside the smaller loops of the graph of r 12 sin(30). [Hint: Use symmetry, the answer is 3v3.] [Answer: sf-i.] quadrant where r is maximum? (b) Find the area outside the circle r 2 but inside the curve r 1+2 sin(30) (c) What is the tangent line to the curve r-1+2sin(30) at the point...
1a) Find dy/dx x = te', y = t + sin t b) Find dy/dx and...
1a) Find dy/dx x = te', y = t + sin t b) Find dy/dx and d’y/dx2 for which t is curve concave upward x = x3 + 1, y = t - c)Find the points on the curve where the tangent is horizontal or vertical. Draw the graph x = 13 – 3t, y = t3 – 312 d) Find the area enclosed by the x-axis and the curve x = t3 + 1, y = 2t – t?....
Consider the following. The x y-coordinate plane is given. A horizontal line, a curve, and a...
Consider the following. The x y-coordinate plane is given. A horizontal line, a curve, and a shaded region are graphed. The horizontal line labeled f(x) = 25 crosses the y-axisat y = 25. The curve g(x) = x2 enters the window in the second quadrant, goes down and right becoming less steep, changes direction at the origin, goes up and right becoming more steep, passes through (5, 25) crossing the horizontal line, and exits the window in the first quadrant....
Consider the parametric curve given by x(t) = 16 sin3(t), y(t) = 13 cos(t) − 5 cos(2t) − 2 cos(3t...
Consider the parametric curve given by x(t) = 16 sin3(t), y(t) = 13 cos(t) − 5 cos(2t) − 2 cos(3t) − cos(4t), where t denotes an angle between 0 and 2π. (a) Sketch a graph of this parametric curve. (b) Write an integral representing the arc length of this curve. (c) Using Riemann sums and n = 8, estimate the arc length of this curve. (d) Write an expression for the exact area of the region enclosed by this curve.
this is the second time i post this please do it right this time and show...
this is the second time i post this please do it right this
time and show all the steps
(10 pts) 3. Find the area inside the asteroid given by the parametric equations x=4cos') and y4sin' for OSIS2.. Show the setup of the integral and use your TI84's "fnint command to find the area.. (10 pts.] 4. Find the arc length of the asteroid given by the parametric equations x=4cos' (/) and y4sin) for Osis 2. Show the setup of...
8) Find the points (x,y) on the curve given by x = 1+t2 and y=t-t3 where...
8) Find the points (x,y) on the curve given by x = 1+t2 and y=t-t3 where the tangent line is horizontal. Graph the curve and locate these points. Provide scales on both axes. Suggestion: On Desmos, let-2 st s 2 to see the full curve and to estimate where these points are. Points
you can skip question 1 Sketch the graph of x(t) sin(2t), y(t) = (t + sin(2t))...
you can skip question 1
Sketch the graph of x(t) sin(2t), y(t) = (t + sin(2t)) and find the coordinates of the points on the graph where the tangent is horizontal or vertical (please specify), then compute the second derivative and discuss the concavity of the graph. 1. Show that the surface area generated by rotating, about the polar axis, the graph of the curve 2. f(0),0 s asesbsnis S = 2nf(0)sin(0) J(50)) + (r°(®)*)de Find an equation, in both...
slope of the line tangent to the curve x = t3 - 2, y = 4t, at t = 2
Please show clear steps.
I really appreciate it.
right strophold has equation y--x2, with c a positive constant. strophoid with c 4 is graphed to the right. Use polar coordinates to show that the area of the loop is 2 -2 Parametrize the strophoid, letting t be the slope of the line segment connecting a given point on the curve and the origin. In other words, let y -tx, substitute into the equation of the strophoid, and write x and...
1. The polar curves r@) = 1 + 2 sin(39), r = 2, are graphed below. 2 (a) Find the area inside the larger loops and outside the smaller loops of the graph of r 12 sin(30). [Hint: Use symmetry, the answer is 3v3.] [Answer: sf-i.] quadrant where r is maximum? (b) Find the area outside the circle r 2 but inside the curve r 1+2 sin(30) (c) What is the tangent line to the curve r-1+2sin(30) at the point...
1a) Find dy/dx x = te', y = t + sin t b) Find dy/dx and d’y/dx2 for which t is curve concave upward x = x3 + 1, y = t - c)Find the points on the curve where the tangent is horizontal or vertical. Draw the graph x = 13 – 3t, y = t3 – 312 d) Find the area enclosed by the x-axis and the curve x = t3 + 1, y = 2t – t?....
this is the second time i post this please do it right this
time and show all the steps
(10 pts) 3. Find the area inside the asteroid given by the parametric equations x=4cos') and y4sin' for OSIS2.. Show the setup of the integral and use your TI84's "fnint command to find the area.. (10 pts.] 4. Find the arc length of the asteroid given by the parametric equations x=4cos' (/) and y4sin) for Osis 2. Show the setup of...
8) Find the points (x,y) on the curve given by x = 1+t2 and y=t-t3 where the tangent line is horizontal. Graph the curve and locate these points. Provide scales on both axes. Suggestion: On Desmos, let-2 st s 2 to see the full curve and to estimate where these points are. Points
you can skip question 1
Sketch the graph of x(t) sin(2t), y(t) = (t + sin(2t)) and find the coordinates of the points on the graph where the tangent is horizontal or vertical (please specify), then compute the second derivative and discuss the concavity of the graph. 1. Show that the surface area generated by rotating, about the polar axis, the graph of the curve 2. f(0),0 s asesbsnis S = 2nf(0)sin(0) J(50)) + (r°(®)*)de Find an equation, in both...
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