What is the maximum vertical distance between the line y = x + 20 and the parabola y = x² over the interval [4, 5]?

Q: Suppose XY has coordinates X( -2, 5) and Y(3, -9). What are the coordinates for the midpoint of XY?

A: To find the Midpoint of the line.

Q: Find the maximal value of the function f(x,y)=2x3-y3 on the circle of equation x2+y2=7.

A: We have to find the maximal value of the function  on the circle of equation

Q: A grass fire burns in an approximate circle. Firefighters, spraying the fire, can affect the area of…

A:

Q: Give the coordinates of X-intercept for the line Y = 2(x – 1) + 7.

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Q: Describe the traces of the curve x2 + 9z2 = 9 in the vertical planes (those parallel to the…

A: The traces of a surface are the cross-sections created when the surface intersects a plane parallel…

Q: ind point P and Q on the parabola y=(-x^2)+1 so that the triangle ABC formed by the x-axis and the…

A: Given that the curve is                         To find point P and Q on the given parabola, so that…

Q: Find the distance between the pointx1 =−1, y1 =1, z1 =3 and the point x2 =1, y2 =1, z2 =1.

A: The first point is (-1,1,3) and the second point is (1,1,1) We will use the distance formula:

Q: Find the maximum value of the parabola using the following equation: f(x)=-x^2+4x+3

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Q: Find the distance from (.-4,5) to each of the following. (a) the xy-plane (b) the yz-plane (c) the…

A: Note: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the…

Q: The parabola y = Px² + Qx + R_passes through the coordinate (1,1) and has b. Determine the values of…

A: