Find the approximate area under the curve y = f(x) = x for 0 ≤ x ≤ 1. Definite integrals, growth rate problems

Find the approximate area under the curve y = f(x) = x for 0 ≤ x ≤ 1. Definite integrals, growth rate problems

find the instantaneous velocity at time t = 2

Find an equation of the line tangent to the graph of f(x) at the point (−1, 7): f(x) =x^2+ 2x+ 8

If y=ln(1-√1-x ) Prove 4x(1-x)y''+2(2-3x)y'+1=0

The number x of printer cartridges that a store will sell per week and their price p (in dollars) are related by the equation x^2 = 1680 − 5p^2 If the price is falling at the rate of $1...

Consider the curve C given by the equation: C · · · √ x + √ y = √ a, where a is a constant, a > 0. Let (x0, y0) with x0 > 0, y0 > 0, be a point on C. If (x1, 0) and (0, y1) are x...

The position of an object at time t is given by s(t) = -9 - 5t. Find the instantaneous velocity at t = 4 by finding the derivative

Given the piecewise function f(x) = {(x+1)2, x≤0 2x + 1,...

I'm confused on the steps of solving this problem. Any help would be greatly appreciated!

Find all values of x for which the function is differentiable. given f(x) = sin(|x|)-1, find all values of x for which the function is differentiable. How do I solve the question above...

Find all values of x for which the function is differentiable. given f(x) = cuberoot(3x-6)+5 find, all values of x for which the function is differentiable. How do I solve the question...

given f(x) = (x³-8)/x2-4x-5m find, all values of x for which the function is differentiable. How do I solve the question above? My teacher explained it today, but I was utterly...

Given the function y = 11 sin (7 pi x - 5 y) and the point (4,0). (A) Verify that the given point is on curve. (B) Find the equation of the tangent line to the curve at the given point. (C) Find the...