Questions from General Calculus


Q: (a) Find an equation of the tangent line to the

(a) Find an equation of the tangent line to the curve y = 2x sin x at the point (π/2, π). (b) Illustrate part (a) by graphing the curve and the tangent line on the same screen.

See Answer

Q: The acceleration function (in m/s2 ) and the initial

The acceleration function (in m/s2 ) and the initial velocity are given for a particle moving along a line. Find (a) the velocity at time t and (b) the distance traveled during the given time interva...

See Answer

Q: What is wrong with the equation? /

What is wrong with the equation?

See Answer

Q: Differentiate. y = cos x / 1 - sin x

Differentiate. y = cos x / 1 - sin x

See Answer

Q: What is wrong with the equation? /

What is wrong with the equation?

See Answer

Q: What is wrong with the equation? /

What is wrong with the equation?

See Answer

Q: What is wrong with the equation? /

What is wrong with the equation?

See Answer

Q: A bacteria culture initially contains 100 cells and grows at a rate

A bacteria culture initially contains 100 cells and grows at a rate proportional to its size. After an hour the population has increased to 420. (a) Find an expression for the number of bacteria after...

See Answer

Q: Differentiate. f (θ) =  cosθ  sinθ

Differentiate. f (θ) =  cosθ  sinθ

See Answer

Q: Justify (3) for the case h < 0.

Justify (3) for the case h (3):

See Answer