Questions from General Calculus

Q: Prove the identity. cosh x - sinh x −= e

Prove the identity. cosh x - sinh x −= e-x

Q: A plane flying with a constant speed of 300 km/h

A plane flying with a constant speed of 300 km/h passes over a ground radar station at an altitude of 1 km and climbs at an angle of 308. At what rate is the distance from the plane to the radar stati...

Q: Prove the identity. Sinh(x + y) =

Prove the identity. Sinh(x + y) = sinh x cosh y + cosh x sinh y

Q: Prove the identity. cosh(x + y) =

Prove the identity. cosh(x + y) = cosh x cosh y + sinh x sinh y

Q: Prove the identity. coth2x - 1 = csch2x

Prove the identity. coth2x - 1 = csch2x

Q: Prove the identity. sinh 2x = 2 sinh x cosh

Prove the identity. sinh 2x = 2 sinh x cosh x

Q: Use implicit differentiation to find an equation of the tangent line to

Use implicit differentiation to find an equation of the tangent line to the curve at the given point. x2 + 2xy + 4y2 = 12, (2, 1) (ellipse)

Q: Prove the identity. cosh 2x = cosh2x + sinh2x

Prove the identity. cosh 2x = cosh2x + sinh2x

Q: Prove the identity. (cosh x + sinh x)

Prove the identity. (cosh x + sinh x)n = cosh nx 1 sinh nx (n any real number)

Q: Two people start from the same point. One walks east at

Two people start from the same point. One walks east at 3 mi/h and the other walks northeast at 2 mi/h. How fast is the distance between the people changing after 15 minutes?