MTH301 Quiz by Orange Monkey

MTH301

DIRT; ORANGE MONKEY POWER BY VU ASSASSIN’S

1. The first order partial derivative of z= sin xy is continuous

Everywhere

2. To find the limit of function f(x, y) =/(x2+y2) at(0,0), if we approach (0,0) through the line y- axis we get the value
3. The chain rule can be taken as the derivative of the order function and multiplying it items the derivative of the _

Inner function

4. The rule is called the chain rule because we use it to take derivatives of _________ By chaining together their derivatives.
5. Partial derivative of f(x, y) = 2x2y +3y3 with respect to x is.

4xy

Q6. If the velocity (V1) 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?

7. If the velocity (V) of a car 20m/s east north and making angle 60 m/s with east then the component of velocity in the direction of east is

-10 · 8. A · of continuous functions is continuous

9. The partial derivative at any point on the surface represents the slope of tangent

Line

10. Partial derivative of f(x, y) = x2 + y2 + with respect to y is

2y+x

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

False

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

True

13. The number square root of 2 is.

14. The number of 3/11 is · Rational · 15. A plane z=3 is ___________ to XY-plane · Parallel · 16. Value of the function f(x,y,z)=xyz at point (2,2,2) is · 17. In rectangular coordinate system the point (-3,2) is in · Second quadrant

Q18. Which of the following function is not the function of one variable?

M= g(s) + constant

19. Intersection of two surfaces is a ___________ in three dimensional spaces.

Curve

20. YZ-plane consists of all points where.

X=0

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

22. If w=f(x,y,z) where x=g(t), y=f(t), z=h(t) then

Dw/dt= dwdx/dxdt + dwdy/dydt + dwdz/dzdt

23. If f and its partial derivatives of the first, second and third orders are continuous on an

24. 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

25. If (x,y)lim->(x0,y0) f(x,y)=L1 and (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

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

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

27. The partial derivative with respect to x of f(x,y)= 3x2y + 2y2 is ________.

6xy

28. Spherical coordinate is related to the cylindrical coordinate as

29. How many real numbers exist between 1 and 5

Infinity

23.