Find the maclaurin series for given function

Assignment Help Mathematics

Reference no: EM131012518

1. Use Maclaurin series to approximate the following integral to three decimal place accuracy:

₀∫^½ tan^-1 (2x²) dx.

2. Find the Maclaurin series for f(x) = (1+x) / (1+x²), writing out at least the first six terms of the series.

Reference no: EM131012518

Questions Cloud

What is the maximum average bac during first two hours : The function C(t) = 1.35te-2.802t models the average BAC, measured in mg/mL, of a group of eight male subjects t hours after rapid consumption of 15 mL of ethanol. What is the maximum average BAC during the first 2 hours?

Description of what you see in your assigned patient x-ray : A description of what you see in your assigned patient x-ray. Then, explain whether the patient has an enlarged heart, enlarged blood vessels, fluid in the lungs, and/or pneumonia in the lungs. And explain your rationale behind your diagnosis

What is the foot-in-the-door technique : Give an illustration of the four different forms of extended self. How might marketers or advertisers use these forms?

What is the tension in the cable : The frame ACD is supported by ball-and-socket joints at A and D. The blue cable passes smoothly through the ring at B. If you assume the frame is weightless and P = 75 lbs. what is the tension in the cable?

Find the maclaurin series for given function : Use Maclaurin series to approximate following integral to three decimal place accuracy: 0∫½ tan-1 (2x2) dx. Find the Maclaurin series for f(x) = (1+x) / (1+x2), writing out at least the first six terms of the series.

What is friction slope in channel : A rectangular open channel (base = 10', n = 0.013) is conveying 900 CFS to a lake. The water depth in the lake is 8-ft. If the channel continues into the lake at a slope of 0.0005ft/ft what is the friction slope in the channel when the flow depth ..

What is the critical depth in the channel : A rectangular open channel with base width of 6-ft conveys 200 CFS. If the slope of the channel is 0.01 ft/ft and n= 0.015, what is the critical depth in the channel?

What angle will give maximum distance : Show that a projectile fired at an angle of theta with initial speed v0 travels a total distance (v02/g) sin 2θ before hitting the ground. What angle will give maximum distance?

Simplify the given expression : Simplify the given expression - Write each number in scientific notation.

User Account

All Pages