(1) Plot the graph of y = r³ – 3r - 5 = 0, and find where the curve crosses the T-axis and the y-axis.

Q: Sketch the graph of the equation, and label the x- and y-intercepts

A: Given, y=1-x

Q: Sketch the graph of y = 3sinx on the interval ( -π , 4π )

A: Solution:-

Q: Find the image of B(3, 1) reflected in the line y=-2.

A: Step 1: Find foot of perpendicular of B on given line. Step 2: Use mid point formula.

Q: Find the point in the first quadrant on the curve y = x + x - l closest to the origin.

A:

Q: Evaluate Pw.-(x+2y))- dr, where C is the curve shown below.

A:

Q: Find the slope of the curve y = 2x3 - 3x2 - x +5 at (2,– 1)

A:

Q: The point (0, 1) has the distance from the line defined by y = -2x – 1

A: Solve for distance

Q: The table shows the numbers of cell phone subscribers (in millions) in the United States for…

A:

Q: Solve the separable differential equation for u du 2u+7t e dt

A:

Q: How far from the x-axis is the center of the curve 2x2 – 2y2 + 10x – 6y – 55 = 0?

A: The given equation of the curve is: 2x2 – 2y2 + 10x – 6y – 55 = 0 This can be written as: