Find an equation of the tangent plane to the surface at the given point. 4x2 + 2y? + 4z? = 22, P = (2, 1, 1) (Express numbers in exact form. Use symbolic notation and fractions where needed. Let f(x, y, z) and give the equation in term of x, y, and z.) equation:

Q: Find the distance from the point (1, −3, 6) to the x-axis.

A:

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: 5 A 3 D r

A:

Q: Find the distance between the two points.   ​(3​,−10​) and ​(27​,0​) The distance is

A:

Q: Write equation of line that is perpendicular to x+5y=20 and passes through (3,19). Write in…

A: As we know that, The slope-intercept form of equation of the line is: y=mx+b Where m is the slope of…

Q: Find the equation of the line through P = (13, 12) such that the triangle bounded by this line and…

A:

Q: Please include all steps Eliminate the parameter x=4cost +3 y=2sint+1

A: The given parametric equations are x=4cos t+3 and y=2sint+1. Evaluate an expression for cos t as…

Q: A circle has equation r? + y? – 4x + 6y = 32. Find the equations of the lines which are tangent to…

A:

Q: Line l1 has equation 2x + y – 10 = 0. Line l2 is perpendicular to l1 and crosses the x-axis at the…

A: Co-ordinate Geometry:

Q: Find the angle between y=5x2-3 and 3xy-9x2-x

A: Given y=5x2-3 --- Eq 1 and 3xy=9x2-x      --- Eq 2We know that angle between y1=k1x+b1 and y2=k2x+b2…