5. A quadratic function y = x2 – 12x + 11 is intercepted at the right angles at the point (3, –16) by another curve. Determine the equation of the curve. Sketch the curve.

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: Consider the following optimisation problem max f(x, y) = t√x y, subject to tx2 + y ≤ 5 x ≥ 0, y ≥…

A: An optimization problem is given by, max fx, y = txy subject to tx2+y ≤ 5 for x≥0, y≥0. (a) The…

Q: 3. Find the instantaneous velocity of a rocket that hits the ground whose position can be modeled…

A:

Q: Graph 4x - 5y = 20 and identify the x-intercept as an ordered pair. O x-int:

A:

Q: Find the equation of the line perpendicular to the graph of y = x - 6 that has an x intercept of 2.

A:

Q: 3. Determine if the equation y-(2x+1) = 1 3D1 is a function.

A: It is relatively easy to determine whether an equation is a function by solving for y. A given…

Q: Determine the vertex of the function y=-2x2- 20x-51 O A) (2, -51) O B) (-5, -1) O C) (-2, -51) O D)…

A: Option (B) is correct.

Q: Write an equation of the line perpendicular to the line y = 3x − 7 at (5, 8).

A:

Q: Find the point on the line 6x + y = 8 that is closest to the point (−4, 1).

A: to find:- point Q(x,y).

Q: m=-3/5, y-intercept (0,5)

A: Given that m = -3/5 and y-intercept is (0, 5)

Q: the y-intercept of the line y=3x+5 is the point (5.0) true or false

A: y- intercept of a line

Q: Write an equation for a line that is perpendicular to the one given by h(x)=4x+2 and passing through…

A: Write an equation for a line that is perpendicular to the one given by h(x)=4x+2 and passing through…

Q: 3. Solve using the Laplace transform: y"+y' = (1+t)0₂ (t), y (0) = 1, y' (0) = 0.

A: