Calculus Distance between point P (2, -1, -3) and line 11 with equation given by (parametrically): { x(t) = 1 - 3t; y(t) = 4 - 2t; z(t) = 3/2 - t/2}

Q: Parallel to y + 8x = 4, through (3, 4); slop- intercept form

A: The line is parallel to y+8x=4, passes through 3, 4

Q: 18. Find the partial sum. Σ128(4) n=1

A: Given problem:-

Q: to the hyperbola the tangents. x² 16 9 = 1. Also, find the angle between

A:

Q: Suppose you are climbing a hill whose shape is given by the equation z = 2000 - 0.005x²-0.01y2,…

A:

Q: Find the distance of the point (1,3) from the line 2x-3y+9=0 measured along a line x-y+1=0.

A: Firstly we will find a line passing through (1,3) and parallel to x-y+1=0 Then the point of…

Q: curve y= sqrt(x+2) and the lines y=0 and x=7

A: Given: The equation for the curve is y=x+2 The sketch of the graph is :

Q: Find parametric equations for the line of slope 2 that passes through the point 13, 52 .

A: Equation of line in the parametric form form when it is passes through point x1,y1 and slope 'r' is…

Q: a circle is tangent to the line 2x-y+1=0 at the point (2,5) and the center is on the line x+y=9.…

A: Given that Line 2x-y+1=0 touches the circle at point P(2,5). It means line passes through P(2,5) and…