Question

engineering mathematics questions​

Answer 1

Answer:

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If we will now we will answer it

Answer 2

Answer:

1. Differentiation of function f(x,y,z) = Sin(x)Sin(y)Sin(z)-Cos(x) Cos(y) Cos(z) w.r.t ‘y’ is?

a) f’(x,y,z) = Cos(x)Cos(y)Sin(z) + Sin(x)Sin(y)Cos(z)

b) f’(x,y,z) = Sin(x)Cos(y)Sin(z) + Cos(x)Sin(y)Cos(z)

c) f’(x,y,z) = Cos(x)Cos(y)Cos(z) + Sin(x)Sin(y)Sin(z)

d) f’(x,y,z) = Sin(x)Sin(y)Sin(z) + Cos(x)Cos(y)Cos(z)

2. In euler theorem x ∂z⁄∂x + y ∂z⁄∂y = nz, here ‘n’ indicates?

a) order of z

b) degree of z

c) neither order nor degree

d) constant of z

3. . If z = xn f(y⁄x) then?

a) y ∂z⁄∂x + x ∂z⁄∂y = nz

b) 1/y ∂z⁄∂x + 1/x ∂z⁄∂y = nz

c) x ∂z⁄∂x + y ∂z⁄∂y = nz

d) 1/x ∂z⁄∂x + 1/y ∂z⁄∂y = nz

4. Necessary condition of euler’s theorem is _________

a) z should be homogeneous and of order n

b) z should not be homogeneous but of order n

c) z should be implicit

d) z should be the function of x and y only

5. If f(x,y) = x+y⁄y , x ∂z⁄∂x + y ∂z⁄∂y = ?

a) 0

b) 1

c) 2

d) 3

6. Value of x∂u∂x+y∂u∂y if u=Sin−1(yx)(x√+y√)x3+y3 is?

a) -2.5 u

b) -1.5 u

c) 0

d) -0.5 u