Category solved model papers

5 c] Solve p^{2}+2py\cot x -y^{2}=0

5 c] Solve . Answer:-

5 b] Find the orthogonal trajectories of r=a(1+\cos\theta) where a is parameter.

5 b] Find the orthogonal trajectories of , where a is parameter. Answer:-

Solve 𝑑𝑦/𝑑𝑥 + 𝑦/𝑥= y2x

5 a] Solve . Answer:-

find the value

4 c] If , and ,then find value of Answer:-

If 𝑢 = 𝑓(𝑥 − 𝑦, 𝑦 − 𝑧, 𝑧 − 𝑥) show that 𝜕𝑢/𝜕𝑥 + 𝜕𝑢/𝜕𝑦 +𝜕𝑢/𝜕𝑧 = 0

If 𝑢 = 𝑓(𝑥 − 𝑦, 𝑦 − 𝑧, 𝑧 − 𝑥) show that 𝜕𝑢/𝜕𝑥 + 𝜕𝑢/𝜕𝑦 +𝜕𝑢/𝜕𝑧 = 0 Answer:-

Evaluate Limite x to 0

4 a] Evaluate Answer:-

3 c] Find the extreme values of the function [latex] f(x,y)=x^{2}+y^{2}+6x-12 [/latex].

Find the extreme values of the function 𝑓(𝑥, 𝑦) = 𝑥 3 + 3𝑥𝑦 2 − 3𝑦 2 − 3𝑥 2 + 4 Answer:-

Solve by using the concept of composite functions

3 b] If Show that Answer:-

3 a] Expand using maclaurin’s Series.

3 a] Expand Up to the term containing using maclaurin’s Series. Answer:-

Find the radius of curvature for the curve, where the curve meets the x-axis

2 c] Find the radius of curvature for the curve , where the curve meets the x-axis. Answer:-