November 14, 2020 – 5:09 pm
Problem 1:

The derivative of w.r.t. at is

(a) 2 (b) -4 (c) 1 (d) -2

Problem 2:

If and , then

(a) (b) (c) (d)

Problem 3:

If , then is

(a) (b) (c) (d)

Problem 4:

If , then is

(a) (b) (c) (d) x

Problem 5:

If , then is

(a) (b) (c) (d)

Problem 6:

Let f, g, h and k be differentiable in , if F is defined as for all a, b, then is given by:

(i)

(ii)

(iii)

(iv)

Problem 7:

If , then at is equal to:

(i) 1 (ii) -1 (iii) 2 (iv) 3

Problem 8:

If , then

(i) (ii) (iii) (iv)

Problem 9:

If , then the value of will be

(i) 0 (ii) 1 (iii) -1 (iv)

Problem 10:

Let , where p is a constant, then at is

(a) p (b) (c) (d) independent of p

Regards,

Nalin Pithwa

November 13, 2020 – 11:16 pm
Problem 1:

Given , , then is equal to

(a)

(b)

(c)

(d)

Problem 2:

is equal to

(a) 0 (b) (c) (d) 2

Problem 3:

If , then is equal to :

(a) 1 (b) \ (c) (d)

Problem 4:

If , then

(a) 12 (b) (c) (d)

Problem 5:

If , then

(a) 0 (b) 1 (c) (d) abc

Problem 6:

If , then is equal to

(a) (b) (c) (d)

Problem 7:

If , , then

(a) (b) (c) (d)

Problem 8:

If , then

(a) (b) (c) (d)

Problem 9:

If , , then

(a) (b) (c) (d) 0

Problem 10:

If , a, b arbitrary constants, then

(a) (b) (c) (d)

Regards,

Nalin Pithwa

November 12, 2020 – 10:47 pm
Assume ;

Hence,

If then, , , ,

And, if simultaneously, the values of x, y, z thus found satisfy , we shall have obtained the required root.

Example:

Find the square root of .

Solution:

Clearly, we can’t have anything like

We will have to try the following options:

.

Only the last option will work as we now show:

So, once again, assume that

Hence,

Put , , ;

by multiplication, ; that is ; so it follows that : , , .

And, since, these values satisfy the equation , the required root is .

That is all, for now,

Regards,

Nalin Pithwa

November 9, 2020 – 1:17 pm
Any maths questions from any where or any other branded class problems sets.

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