A straight line y = 3x – 4 cuts the curve y = x2 – 2 at point P(2, p) and point Q(q, – 1). Find the value of p and of g.

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: 22 The line y = 2-2x cuts the curve 3x² - y² = 3 at the points A and B. Find the length of the line…

A: Straight line and hyperbola intersect at two points.

Q: Find all values of the constants C and b such that the curve: y = C bx passes through the points…

A: Given Where C  and b are the constants It passes through the points (2, 76) and (3, 304)

Q: 24 The line y = x - 10 intersects the curve x² + y² + 4x + 6y - 40 = 0 at the points A and B. Find…

A: Consider the given equation of curve, x2+y2+4x+6y-40=0 It is given that the line y=x-10 intersects…

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: Find the point on the curve 4x

A:

Q: The line y = 2x + b is tangent to the graph of y = 1x at the point P = (a, 1a). Find P and determine…

A: Given: The line y=2x+b is tangent to the graph of y=x at the point Pa,a. To find P and determine b.…

Q: Find the point on the line y = 3x + 4 that is closest to the origin.

A: Given, the line equation

Q: Find the exact distance the point p (-2,-4) and the line y=1/3x+2

A: Solution ) y = (1/3)x +2  Slope of perpendicular to this line would be  m = - ( 1/1/3)  m = -3…

Q: Find the equation of the line perpendicular to = 5 through the point (7, – 9) -

A:

Q: Find a point on the line y = 2x 3 that is 5 units from the x axis. %3D

A: The given equation is, y=2x-3

Q: A curve has an equation of y x - 6x + 9x + 2. Find the point of inflection of the curve. Оa.(2, 4) O…

A: