MTH301 Final Term Solved MCQs with References

Final term mcq calculus (Mth301) Solved By · Rabia Rauf · FINALTERM EXAMINATION · MTH301- Calculus II

Q1. Q 1. (1 marks)

Intersection of two straight lines is --------------

1. Surface
2. Curve

a.

1. Plane pg 13
2. Point

Correct answer: Plane pg 13

Q2. Plane is a --------------- surface. (1 marks)

1. One-dimensional
2. Two-dimensional
3. Three-dimensional
4. Dimensionless

Correct answer: Two-dimensional

Q3. Let w = f(x, y, z) and x = g(r, s), y = h(r, s), z = t(r, s) then by chain rule (1 marks)

w r

w x w y w z x r y r z r  pg 50

w x w y w z r r r r r r

w x x w y y w z z x r s y r s z r s

w r w r w r r x r y r z

Q4. What are the parametric equations that correspond to the following vector equation? (1 marks)

sin (1 cos2 ) r t t i t j

sin 1 cos2 x t y t z pg 140

sin 1 cos2 y t x t z

sin 1 cos2 x t y t z

sin cos2 x t y t z

Q5. What are the parametric equations that correspond to the following vector equation? (1 marks)

sin3 r t t i t j t k

sin3 z t x t y t

sin3 y t x t z t

sin3 x t z t y t

sin3 x t y t z t pg 140

Q6. What is the derivative of following vector-valued function? (1 marks)

(cos5 , tan , 6sin ) r t t t t

sin5 , sec , 6cos t r t t t

sin5 , sec , 6cos ) t r t t t

( 5sin5 , sec , 6cos ) r t t t t According to formula at pg 145

(sin5 , sec 6cos ) r t t t t