Find the linear and quadratic approximations to the following function about x = 0 :f (x) = (1 + x)5and so find approximations for 1.055
Question
Solution 1
Sure, let's start with the linear approximation.
The linear approximation of a function f(x) at a point x=a is given by the formula:
L(x) = f(a) + f'(a)(x - a)
Here, we are asked to find the linear approximation about x = 0. So, a = 0.
The function is f(x) = (1 + x)^5.
First, we need to find Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv
Similar Questions
Find the linear and quadratic approximations to the following function about x = 0 :f (x) = (1 + x)5and so find approximations for 1.055
A quadratic function ‒x2 + bx + c attains its maximum value at x = 4. If f(‒8) = 0, then find f(10).
one-to-one function f(x) satisfies f(0) = 0 and f(x) 0 If ∫a0f(x)dx = Afor a > 0, find an expression for ∫a0f( )f -1(x)dx.
f –4 is a root of the equation x² + px – 4 = 0 and the quadratic equation x² + px + k = 0 has equal roots, find the value of k.
Suppose f(x) is a quadratic function. The slope of f(x) at the extremum point is a.0b.infinitec.negatived.positive