Find the equation of the curve whose slope is and passing through the point (-2,4).[Note: Equate your answer to zero.]

Q: Determine the slope of the curve y = x² + 2x at the point (-1, -3) on the curve.

A: We have to determine the slope of the given curve at the point .

Q: Sketch the graph of the curve y = x-1

A:

Q: Find an equation for the set of points equidistant from the point (0, 0, 2) and the x-axis.

A: To determine the equation for the set of the points.

Q: Sketch the curve of y= 3x-10x³-12x²-7

A: The objective is to sketch the graph.

Q: Graph the curves y = x3(8 - x)

A: The equation of the curve is y=x38-x. To graph the equation, find some  points  on the curve. x…

Q: 1.) y = 2 X²+1

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: Find the equation of the curve whose slope at any point is y+2x

A: We have, the slope of the curve at any point is y+2x. dydx=y+2xdydx+-1y=2x        ⋯⋯1 Clearly, it is…

Q: 3x2 – 2y2 – 12x + 12y = 12

A: Given equation : 3x2-2y2-12x+12y=12

Q: Find the slope of equation at the given point

A:

Q: y = (x-5)(x+1)

A: Given equation of curve y=x3(x-5)(x+1)                   (1) We have to trace the curve of above…

Q: r = sin 0 + 2 cos² 0

A: Given

Q: Graph the curves y = (x - 3)2 ex

A: Here given as y=x-32ex When x=3 Then y3=3-32e3=0

Q: reflect the point (2, -4) over the y-axis

A: If we reflect a point over the y-axis then the formula is: (x, y)→(-x, y) Here x=2 and y=-4