Find the equations of the curve for which y" = 6x2 and which passes through the points (0,2) and (-1,3). Answer:

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: a Z(t):t+?ti (ists4 (-35t53) こ 6. 2E) = 5- 2it

A: Given: (a.) zt=t+3ti (1≤t≤4) (b.) zt=5-2it  -3≤t≤3   To describe: The trajectory of the given…

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: Find the equation of line that passes through the point (-7,-8) and perpendicular to the line meetin…

A:

Q: 1.) y = 2 X²+1

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

Q: 3x2 – 2y2 – 12x + 12y = 12

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

Q: Find an equation of the vertical line passing through the point (-3/4,-1/2)

A: Given Point (-3/4,-1/2)

Q: Find the equation of the curve whose slope is and passing through the point (-2,4).[Note: Equate…

A: Given slope of the graph  is  dydx=2x2Taking integration on both…

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: 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