MTH301 Final Term Solved MCQs with References Set 2

Q5. What are the parametric equations that correspond to the following vector equation?

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?

(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

Q9. Which one of the following is correct Wallis Sine formula when n is even and

n 

sin n n n n x dx n n n pg 182

sin n n n n x dx n n n

sin n n n n x dx n n n

sin n n n n x dx n n n

Q10. Match the following equation in polar co-ordinates with its graph.

cos

tan r a

where a is an arbitrary cons t