1) Determine the distance between the point (-2, 6) and the line 3x -4y -10 =...

1) Determine the distance between the point (-2, 6) and the line 3x -4y -10 = 0
2) Determine the distance between the point (4, -1) and the line 3x -4y +12 = 0
3) Determine the distance between two parallel lines which equations are 3x -4y +6 = 0 and 6x -8y +9 = 0

Expert Solution

milcah answered 2 years ago

The surface z = 3x^(2) + (1/6)x^(3) - (1/8)x^(4) - 4y^(2) is intersected by the plane...

The surface z = 3x^(2) + (1/6)x^(3) - (1/8)x^(4) - 4y^(2) is intersected by the plane 2x - y = 1. The resulting intersection is a curve on the surface. Find a set of parametric equations for the line tangent to this curve at the point (1,1,-23/24).

Determine the tangent line approximation for ?(?) = 2sin(? ? ) at the point (0, 2???1)

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

Find the point on the line y = 3x + 4 that is closest to the origin. (x, y) =

Determine the general solutions for y" + 4y' + 4y = 8x^2 , y" + 4y'...

Determine the general solutions for y" + 4y' + 4y = 8x^2 , y" + 4y' 3y = 32xe^x , and y" + 4y' + 5y = 5x − 1.

1. a.) determine vector and parametric equations for the line through the point A(2, 5) with...

1. a.) determine vector and parametric equations for the line through the point A(2, 5) with direction vector = (1, −3). b.)Determine a vector equation for the line through the points (-1, 4) and (2, -1). c.) Determine parametric equations for the line through (-2, 3) and parallel to the line with vector equation = (−2, 1) + t(6, 4). d .) A line passes through the point (-4, 1) and is perpendicular to the line with parametric equations...

Using subtraction, find the vertical distance (error) between the point (42, 77) and the line: y...

Using subtraction, find the vertical distance (error) between the point (42, 77) and the line: y = -1.04x = 38.4.

Find the point on the line −4x+4y+4=0 which is closest to the point (−3,−5)

The function f(x, y) = 10−x 2−4y 2+2x has one critical point. Find that critical point...

The function f(x, y) = 10−x 2−4y 2+2x has one critical point. Find that critical point and show that it is not a saddle point. Indicate whether this critical point is a maximum or a minimum, and find that maximum or minimum value.

solve system 3x+3y-4z= 0 -x+4y+4z=6 -3x+3y+3z=3 show steps please

Consider the optimization problem of the objective function f(x, y) = 3x 2 − 4y 2...

Consider the optimization problem of the objective function f(x, y) = 3x 2 − 4y 2 + xy − 5 subject to x − 2y + 7 = 0. 1. Write down the Lagrangian function and the first-order conditions. 1 mark 2. Determine the stationary point. 2 marks 3. Does the stationary point represent a maximum or a minimum? Justify your answer.

Question