MTH301 Quiz Updated 2021

Mth301 kon hey bey Dianasour · Updated quizzes solution 2021 · We’re are DaviD Worriors

Q1. Two vectors are opposite vectors if they have __________.

1. both
2. and
3. If two dogs are pulling a bone with force=20 Newtons in opposite direction, the resultant force is _________

Q2. If the velocity (VI) of a car is 20m/s and velocity (V2) of bike is 40m/s, where both velocities are southward then which of the following would be the dot product of these velocities?

-800

3. Limit of a function may exist at the point where it not defined False

False

Q5. A_________of continuous functions is continuous

1. All (a),
2. and

Zero

Curve

8 Face the parabola (y=ax^2 + bx + c) is opening downward when A<0

9 Which coordinate system uses two distance and one angle? Cylindrical

Polar coordinate system

11 Limit of a function exist may exist at the point where it not defined False

12 The number square root of 2 is

13 A plane z=3 is _____ to XY plane.

Parallel · 14 Value of the function f(x,y,z)=xyz at point (2,2,2) is · 15 The number 3/11 is · Rational

16 In rectangular coordinate system the point (-3,2) is in Second quadrant

m=g(s) + content · 18 XZ- Plane consists of all points where · X=0

19 Value of the function f(x,y,z)=x^2+ y^2 + z^ 2 at the point (0,1,0) is

20 If w=f(x,y,z) where x=g(t), z=h(T) then

Dw/dt= wdz/ xdt + wdy/ ydt + wdz/ zdt

21. If f and its partial derivatives of the first, second and third orders are continuous on an open set, then at each point of the set_________

22 . If (x,y,z)->Lim(x0,y0,z0) f(x,y,z) =L1 then

(x,y,z)->Lim(x0,y0,z0) cf(x,y,z) = cL1 If c is constant

23. if (x,y)->Lim(x0,y0) F(x,y) = L1 (x,y)->Lim(x0,y0) g (x,y)= L2

(x,y)->Lim(x0,y0) f(x,y)/g(x,y) = L1/L2 ; L2 not equal to 0

24. If w = f(x) where x=g(r,s) then w/ s=

25. The partial derivative with respect to x of f(x,y) = 3x2y+2y2 is ___________ 6xy + 2y2