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)=________________
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.
Cat only buys tomatoes (x) and cucumbers (y) and her preferences can be identified with U(x,x)=6x2y. a. What is Cat's marginal utility for tomatoes, and what is her marginal utility for cucumbers? How does Cat's utility change when she consumes more tomatoes? How does her utility change when she consumes more cucumbers? b. Find Cat’s marginal rate of substitution (tomatoes are on the x axis and cucumbers on the y axis). What is the slope of Cat's indifference curve that...
Find a parabola with equation y = ax2 + bx + c that has slope 13 at x = 1, slope -19 at x = -1, and passes through the point (1, 13). y =
(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
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 an equation of the level curve of the function g(x, y) = yż arctan(2) that passes through the point P(1, - 1). Write your answer as an equation in terms of y and a.
2.1.13 (a) Find the slope of the curve y=x°-11x at the given point P(1. - 10) 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(1. - 10). (a) The slope of the curve at P(1. - 10) is
4. 1-/1 Points) DETAILS SCALCET8 3.1.070. Find a parabola with equation y = ax + bx + c that has slope 12 at x = 1, slope -16 at x = -1, and passes through the point (2, 29). y Need Help? Read Talk to Tutor
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
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.)