Question

Asked Jan 24, 2020

14 views

The approximation ex = 1 + x + (x2/2) is used when x is small. Use the Remainder Estimation Theorem to estimate the error when|x|< 0.1

Step 1

The given approximation is a second order Maclaurin polynomial for e^{x}. We get an upper bound for R_{3}(x) given that |x| < 0.1

Step 2

For |x|< 0.1, the largest value of ...

Tagged in

Find answers to questions asked by student like you

Show more Q&A

Q: Use the theorems of Pappus to find the lateral surface area and the volume of a right-circular cone.

A: To determine the lateral surface area and volume of right circular cone.

Q: Suppose that a certain population satisfies the initial value problem dy/dt=r(t)y−k,y(0)=y0,dy/dt=r...

A: Given:

Q: The quotient (log4 x)/(log2 x) has a constant value. What value? Give reasons for your answer.

A: Given:

Q: solve the initial value problem x dy - (y + sqrt(y)) dx = 0, y(1) = 1

A: We know :

Q: Derive the formula for the volume of a right circular cone of height h and radius r using an appropr...

A: Given information:

Q: Let ƒ be a function that is differentiable on [a, b] . we defined the average rate of change of ƒ o...

A: Yes, this is the case. i.e. ƒ(b) - ƒ(a)/( b - a) is the average value of ƒ′ on [a, b].The reasoning...

Q: A solid is generated by revolving about the x-axis the region bounded by the graph of the positive c...

A: Given information:

Q: In Exercises 5–10, find the orthogonal trajectories of the family of curves. Sketch several members ...

A: Note: We’ll answer the 5th question since we answer only one question at a time. Please submit a new...

Q: Find the center of gravity of the region bounded by the x-axis, the curve y = sec x, and the lines x...

A: Consider the given question,The graph of the curve y = sec(x) and the line x = -pi/4, x = -pi/4 is d...