Point P(3t2, 6t), where t > 0, lies on the parabola y² = 12x. (a) Show that the equation of the normal to the parabola at point P is given by (b) (c) y + tx = 6t+3t³ This normal crosses the x - axis at point Q and M is the mid-point of QP. Find the coordinates of point M. Find the Cartesian equation of the locus of point M. Give your answer in the form y = f(x).

Q: (-14) + (–7)

A:

Q: b. N(0)

A: Given,  r→t=sint, t, cost                   ...1

Q: 619 d. 4 10

A:

Q: 3) 24 12

A: We can find the value of x as below

Q: In the

A: In the diagram it is given that, the angles <G and <H are complementary. m<G = 2x + 10…

Q: -7 3. Find (3-4) 5) 1 1

A:

Q: d 6

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Q: 4.122

A: Given Information: a) Suppose each lot contains 10 items, you decide to sample 4 items per lot and…

Q: 6. 4 Z+ 1 z+ 7 2.

A: Given,  4/(z + 1)  =  2/(z + 7)  To find value of z.

Q: 6. 8.

A: Pythagorean Theorem:                  Pythagoras theorem states that  "In right angled triangle ,…

Q: The columns of Q were obtained by applying the Gram-Schmidt process to the columns of A. Find an…

A: Solution by using Gram-Schmidt process as follows :