A curve passes through the point (0,6) and has the property that the slope of the...
A curve passes through the point and has the property that the slope of the curve at every point is three times the -coordinate of . What is the equation of the curve?y(x)=________________
What is the equation of the line that passes through the point (-5,2) and has an undefined slope? please show your work
Find the tangent equation to the given curve that passes through the point (18,9). Note that due to the t2 in the x equation and the t3 in the y equation, the equation in the parameter t has more than one solution. This means that there is a second tangent equation to the given curve that passes through a different point. x = 9t2 + 9 y = 6t3 + 3
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....
Find the x-coordinate of the point on the curve 23 + 3y3 = 3xy where the tangent is horizontal. Show your work in the PDF version of the test.
Find the tangent equation to the given curve that passes through the point (4, 3). Note that due to the t2 in the x equation and the 3 in the y equation, the equation in the parameter t has more than one solution. This means that there is a second tangent equation to the given curve that passes through a different point. x = 3t2 + 1 y = 2t2 + 1
Find the tangent equation to the given curve that passes through the point (4, 3). Note that due to the t2 in the x equation and the 3 in the y equation, the equation in the parameter t has more than one solution. This means that there is a second tangent equation to the given curve that passes through a different point. x = 3t2+1 y = 2t3 + 1 y = (tangent at smaller t) y = (tangent at larger t)
Find the slope-intercept form of the equation of the line that passes through the points 6,9) and (-8,-7), and find the x-intercept. Equation of the line in slope-intercept form: y- x-coordinate of x-intercept Enter an integer or fraction.)
(a) Find the slope of the curve y = x - 8x at the given point P(2. - 8) by finding the limiting value of the slope of the secants through P. (b) Find an equation of the tangent line to the curve at P(2.-8). (a) The slope of the curve at P(2. - 8) is
dy Find the equation of the curve that passes through (-1, -3) if its slope is given by 18x2 - 8x for each x ya