Calculus — popular questionsPage 7

The equation of a circle is $(x-a)^2+(y-3)^2=20$

Solve an inequality involving powers of one quarter

How to find the interval of convergence of a power series quickly

Derive the binomial series for square root from the generalized binomial theorem

Find parameter values that make a trig inequality hold on a given interval

Taylor series of 1 over 1 minus x around x=10 and radius of convergence

Area between two curves in the first quadrant

How to evaluate an arctangent-type definite integral

How to prove the maximum displacement of a spring motion function

When is the distance between two moving objects smallest?

How to minimize the cost of an open-top box with a square base

How to maximize a cubic profit function with derivatives

How to sketch transformed graphs from asymptotes and intercepts

Examples of power series with prescribed convergence behavior

Find the radius of convergence of two power series

Find the minimum and maximum of an exponential function on a closed interval

How to analyze the limit-defined function and compare its values and derivative ratios

Find a quadratic function from two points and solve a one-intersection condition

Solve $x^2+19x+90=0$ using the quadratic formula

Find the step where the circle-equation work goes wrong