Find parametric equations representing the line segment joining P(-3, 2) to Q(2, -1) as (x(t), y(t)), 0 ≤ t ≤ 1, where P = (x(0), y(0)), Q = (x(1), y(1)) and r(t), y(t) are linear functions of t.

Q: Find parametric equations for the line through the point P(3, 6, 4) that is parallel to the plane x…

A:

Q: Find the distance between the point (0, 4, -1) and the line defined by r(t) = +t

A:

Q: (c) If f is a C² scalar function, then V × (Vƒ) = 0. True False (d) The lines 1₁ (t) = (1 − t, 1+ t,…

A: (C) If c is scalar function Means      curl(grad ƒ)  is = 0   Therefore correct ans is  True

Q: (x(t) Find a plane containing the point (2,-4,-2) and the line y(t) z(t) = = = 2 - 5t 4 - 3t 5- 4t

A: Equation of the plane general form is  a(x-x_1)+b(y-y_1)+c(z-z_1)=0

Q: Let f(x) = x² + 2x+1 a) Find the equation of the secant line between the points P and Q on the graph…

A: Let (a) To find the equation of the secant line between the points P and Q on the graph of , where P…

Q: Two sharpshooters will simultaneously shoot once at a target. Let Xi , i = 1, 2, be marksman i's…

A: Given that, the errors are modelled by X1~N(0,0.5),X2~N(0,1). To solve this problem z table values…

Q: Find the tangent plane to the equation z = z = 16x + 15y + 19 X - 2x² + 3y² - 3y at the point…

A:

Q: Consider the equation x² + y³ + zª − 8xyz = z². Find z point (1,1,1). at the

A:

Q: If f(x, y)= xe2y +y, evaluate grad f •dr where C is the straight line joining the point (2,0) to the…

A:

Q: Complete the parametric equations of the line through the points (7,-7,-1) and (4,-4,8) x(t) = 7 –…

A: Solution is following in explanation step.