In drilling world’s deepest hole, it was found that the temperature T in degree Celsius, x km below the surface of Earth, was given by : `T = 30 + 25 (x- 3),3 < x < 15`. At what depth will the temperature be between `200^@` C and `300^@` C ?

Find the degree of the polynomials given below: x^5-x^4+ 3

Name the palindromic nucleotide sequence for below given fragment of DNA :5' - G A A T T C -3'

Find the equations of the tangent and the normal to the following curves at the given point: x = sin 3t, y = cos 2 t at t = pi/4

A jet plane is travelling towards west at a speed of 1800 km//h . What is the voltage difference developed between the ends of the wing 25 m long, If the Earth’s magnetic field at the location has a magnitude of 5 xx 10^-4T and the dip angle is 30^@ .

Find the equation of the tangent at t = pi/4 to the curve: x = sin 3t, y = cos 2t.

Find the equations of the tangent to the following curves at the given point: x = a sin^3 t , y = b cos^3 t at t = pi/4

Find the equation of tangent to the curve given by x = a sin^3 t, y = b cos^3 t at a point where t = pi/2 .

The point of intersection of the curve whose parametrix equations are x=t^(2)+1, y=2t" and " x=2s, y=2/s, is given by

If x = log t^2 , y = log t^3 , then (dy)/(dx) is