Calculus Answers

the acceleration due to gravity on the planet Calcllceara is -10m/s^2. A stone is thrown downwards with a speed of 5 m/s from the upper observation deck of the Base Camp Alpha Tower, 150 m above the ground

Find the asymptotes parellel to the x and y axis of the curves ( x^3+y^3)y=bx^3

Find the volume of the solid inside the sphere x^2+y^2+z^2=9 and inside the x^2+y^2=1clinder

Using the ε-N definition of convergence of sequences, prove that limit of (2/n) when n goes to infinity is 0.

Determine the limit of (1+2+...+n)/(n^2) when n goes to infinity.
Can I solve this by taking the sequence to n brackets?

We know that limit of (3n/(n+4)) when n goes to infinity is 3. If the definition of convergence of sequences, ε=10^(-5) then determine the cutoff index N.

Determine, with proof, the supremum and infimum of the set A={(n+1)/n | n ∈ N}

Determine the monotonicity of the sequence if (an) satisfies the equality (an+1)-(an)=-3 for all n.