Mathematics

Intergrate or to not to integrate

Ok so when you integrate (e^(-x^4))(-4x^3)you get e^(-x^4)due to the u substitution of du = -4x^3 dx....but after you sub in you dont integrate thee^(-x^4)..why is that? I found a problem (e^-x)/(1-e^

Find the area of the region that is bounded by the given curve and lies in the specified sector.

r = e^(θ/2) pi/4 ≤ θ ≤ 7pI/6 COMPLETE DETAILED ANSWERS ONLY-Area bounded by polar curve: A = 1/2 ∫ₐᵇ r² dθ A = 1/2 ∫{π/4 to 7π/6} e^θ dθ A = 1/2 e^θ |{θ = π/4 to 7π/6} A = 1/2 (e^(7π/6) - e^(π/4))

Find the Maclaurin Series for f(x) using the defination of a Maclaurin Series

f(x) = (1-x)^-2 f(x) = ln(1+x)-1) f(x) = (1 - x)^(-2) f (x) = 2(1 - x)^(-3) f (x) = 3 * 2(1 - x)^(-4) f (x) = 4 * 3 * 2(1 - x)^(-5) ... f^(n)(x) = (n+1)! (1 - x)^(-n-2) for all n = 0, 1, 2, ... ==> f

Solve –8 – 3x = 19 for “x”.

x??-–8 – 3x = 19 -3x=27 3x=-27 x=9

Of the calls a directory assistance operator received, 188 were requests for telephone numbers listed in the c

25 Of the calls a directory assistance operator received, 188 were requests for telephone numbers listed in the current directory. This accounted for 94% of the calls for assistance that the operator

What's 1 m - 9 cm in the metric system

And also what is 2 km - 100 m in the metric system? 8 cm - 12 mm in the metric system?-1 m = 100 cm, so 1 m - 9 cm = 100 cm - 9 cm.Answer:91 cm 2 km - 100 m = 2000 m - 100 m.Answer:1900 m 8 cm - 12

How to calculate sum of general series

How to calculate the sum of a general series like.. Sum of n(n+2) from n=1 to n=30??-The sum of n terms is simplified by induction to be n(n+1)/2. Likewise, the sum of n^2 is simplified to n(1+n)(1+2

Word math problem......................

tried it !! but i kept getting the wrong answer Two bicyclists head toward each other from the opposite ends of Main Street, which is six miles long. The first biker started at 2:05 going 12 mph. The

An entry wound is found to be 0.36 inch in diameter. Which of the follow guns was likely to have been used

9 mm Beretta 12 mm Uzi 200 mm Howitzer 0.5 cm pellet gun-Judging by the fact that 0.36in is about 0.9cm or 9mm, I would say the Beretta is the prime candidate

How to find the exact values of an equation

Find the EXACT value without using a calculator: tan(4π/3) = ? tan(3π/4) = ? cot(5π/3) = ? sec(π/3) = ? csc(5π/6) = ?-3^(1/2) -1 -1/3^(1/2) 2 2-Use the Unit Circle to get the sine and cosine values

Trig help.. i need please

Write the complex number in polar form. 5 + 2j-For any complex number in the form a + bi:convert to polar form r(cos(x) + i sin(x)) as follows. r = sqrt(a^2 + b^2)and x = arctan(b/a)(from this, you

S2 EXAM QUESTION HELP

A six sided die is biased. When the die is thrown the number 5 is twice as likely to appear as any other number. All the other faces are equally likely to appear. The die is thrown repeatedly. Find th

Why does this pre-algebra problem come out this way

(2/3) ^ -2 = 1/(2/3) ^ 2 = 1/ (4/9) = 9/4 Why can the nine just move to the numerator of the equation at the end? What are the actual steps for that to happen?-Hi there.The easiest way to explain it

How do I integrate 1-|x| from -1 to 1

integral[-1;1](1-|x|)dx=? where |x| is the absolute value of x. ---------------- I tried |x|=x for x>=0-x for x sointegral[-1;1](1-|x|)dx = integral[-1;0](1-x)dx + integral[0;1](1+x)dx= =-1-1/2

Need help in Poisson Distribution problem

This is the original problem. California is hit by approximately 500 earthquakes that are large enough to be felt every year. However, those of destructive magnitude occur on the average once every y