Find the x-coordinate of the point on the curve 23 + 3y3 = 3xy where the...
5. Find the e-coordinate of the point on the curve : +3y3 = 3ay where the tangent is horizontal. Show your work in the PDF version of the test. 7. How many real roots does the equation ! 9x +c=0 have in the interval (-3,0? Hint: use the Mean Value Theorem (Rolle's Theorem). Show your work in the PDF version of the test. A. At most two real roots B. At least one real roots C. No real roots D....
consider the curve described by the equation: 4x2 - 3xy + y2 = 14 at any given point on this curve, we have dy/dx = -8x + 3y / -3x + 2y your task is to find the points on the curve where the tangent line is parallel to the line y = x What is the y-coordinate of the leftmost point on the curve where the tangent line is parallel to the lone y=x
2. Find the equation of the tangent line to the curve at the point where x = 4. Show work
A curve passes through the point (0,6) and has the property that the slope of the curve at every point P is three times the y-coordinate of P. What is the equation of the curve? Show your work in the PDF version of the test.
Q-1: a) find the equations of the tangent and normal to the curve x + 3xy + y = 5 at point (1,1). draw the equation of the ellipse b) Describe and 9x? + 4y +36x - 8y +4 = 0. (20marks)
1) Graph the curve r(x) (x3-4x6-3xy for the values -2 3x K2 Find f(x) Determine unit tangent vector for x-1 Sketch unit tangent and unit normal vector for x-1 1) Graph the curve r(x) (x3-4x6-3xy for the values -2 3x K2 Find f(x) Determine unit tangent vector for x-1 Sketch unit tangent and unit normal vector for x-1
Find the x-coordinate of all points on the curve y= 8x cos (7x) – 28/3x² - 41, <x< where the tangent line passes through the point P(0, -41) ( not on the curve). There are two value X1, X2 where xy < X2 : x1 = 0 . x2=0 Type an exact answer using n as needed.
Find the coordinates of the point on the curve given by = +4 + 2t where the tangent line is horizontal. ly=+ + 7t = Preview y = Preview
Find dy/dx. Find the points on the curve where the tangent is horizontal or vertical. x = t3 - 3t, y = t2 - 6
please explain how you do part (b) clearly. Given the curve x-t5, y--t+4t +3, find the exact values: 18) a) of the coordinates of the leftmost point on the curve. (Use Calculus and show your work). b) of the parameter t where the graph crosses itself. (Use any method you wish - but show your work). c) of the parameter t where the slope of tangent line to the curve is(Use Calculus and show your work).