mth301 quiz 3 mth301 quiz 3 solution 2023 mth301 quiz 3 fall mth301 quiz 3 2023 solution
mth301 quiz 3 mth301 quiz 3 solution 2023 mth301 quiz 3 fall mth301 quiz 3 2023 solution
01 The absolute extrems of f(x)=2x is _______
v Select the correct option
1. (0,0)
2. (0,-1)
3. None
4. (0,1)
02 Length or magnitude of a unit vector is------------
v Select the correct option
1. 0
2. 1
03 parmetric equations for the straight line through the point A(1,2,3)and parallel to the vector v=4i+5j
v Select the correct option
1. X=4+t,y=5+2t,z=0+3t
2. X=4t,y=5t,z=0t
3. X=t,y=3t,z=3t
4. X=1+4t,y=2+5t,z=3+0t
04 The Absolute Maximum value of function f(x)=¡(2) =29,-1<2 ≤ 27. is
v Select the correct option
1. 8
2. 9
3. 7
4. 6
05 For function y=f(x) the differential dy is equal to________
v Select the correct option
1. f'(a)dy
2. †'(a)
3. f'(a)da
4. +++++
06 The surface z=(x,y) neither falls nor rises (decreases or increases)at any point in the-------- of gradient (z)
v Select the correct option
1. Arbitrary direction
2. Opposite to the direction
3. Direction perpendicular to
4. Direction
07 The directional derivative of a function f(x,y) in the direction of u can be written as
v Select the correct option
1. ^ f(x,y)u
2. ^ f(x,y)y
3. ^ f(x,y)*u
4. u*^f(x,y)
001 The volume of a rectangular parallelepiped is given by the formula V - ryz then dV
v Select the correct option
1. Dv = zydx + zzdy + zydx
2. Dv = zzdx + zydy + zydx
3. Dv = yzdx +zydy + zzdz
4. Dv = yzdx + zzdy + zydz
002 Gradient of a scalar function always results in a function
v Select the correct option
1. Scalar
2. Vector
3. Discontinuous
4. Continuous
003 Gradient of a temperature of any geographical region on earth results to a----------
v Select the correct option
1. Vector quantity
2. Scalar quantity
004 Two vectors of magnitudes [4,5] making an angle of 30degree, then the area of parallelogram associated with these two vectors is---------- square units.
v Select the correct option
1. 10*sqrt(2)
2. 10*sqrt(3)
3. 20*sqrt(2)
4. 10
005 Two vectors are opposite vectors if they have --------------
v Select the correct option
1. Some magnitude
2. Opposite direction
3. Opposite magnitude
4. Both(a)and(c)
006If a vector of magnitude 4 is making angle 30 degree with y axis then its component vector doing x axis is---------
v Select the correct option
1. -2
2. 2*sqrt(3)
3. 2
4. -2*sqrt(3)
007The surfacez-f(x,y)falls (decreases)most rapidly at any point in the ---------of gradient(z)
v Select the correct option
1. Direction
2. Direction perpendicular to
3. Arbitrary direction
4. Opposite to the direction
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