Answers created by Luke Phillips
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How do you find the limit of #(1  1/x)^x# as x approaches infinity?

#lim_(xto1) (sinpix)/(x1)# ?

Question #23877

How do you use substitution to integrate # x/sqrt(x+4) dx#?

A solid is formed by attaching a hemisphere to each end of a cylinder. If the total volume is to be 120cm^3, find the radius (in cm) of the cylinder that produces the minimum surface area. Express your answer correct to 2 decimal places.
Help!?

Integrate 1/(1+bcotx)?

What is the derivative of #tan^2(sinx)#?

How do you solve this ?
#lim_(x>0^+)(1+sin(4x))^cot(x)#

What is the derivative of this function #y=(cos^1(4x^2))^2#?

Question #d6553

Question #5b41a

Question #baaae

How to stay motivated to study maths and what are some good websites for practice (High school level)?

Question #ea9c6

Show that #sum x/2^x = 2# summation running 0 to infinity ?

Question #5fb99

Question #d76e9

Find the derivative implicity if x = tan xy.
Help!?

Can a complex number be written Cartesian form in terms of i to a power other than 1? And if so...

Question #2d31f

How do you find the probability of no successes when #n# independent Bernoulli trials are carried out with probability of success #p#?

If we were to toss a single die (singular for dice) 1000 times, how many 6s could we expect over the long run? What is the standard deviation?

How do you solve #\sin \frac { 2x + 1} { x } + \sin \frac { 2x + 1} { 3x }  3\cos ^ { 2} \frac { 2x + 1} { 3x } = 0#?

What is the period of #f(theta) = tan ( ( 17 theta)/12 ) cos ( ( 3 theta)/ 4 ) #?

Question #7cb01

Question #297a6

Evaluate the integral #int \ sqrt(xx^2)/x \ dx #?

How do you find the derivative of #2^arcsin(x)#?

How do you find the derivative of #log_5(arctanx^x)#?

What is the Maclaurin series for #ln(5x)#?

Question #4d1ca

If #a_k in RR^+# and #s = sum_(k=1)^na_k#. Prove that for any #n > 1# we have #prod_(k=1)^n(1+a_k) < sum_(k=0)^n s^k/(k!)#?

What is the purpose of the Gamma function?

How do you integrate the following integral?

Question #ededb

Evaluate #int \ (1+sqrt(x))^9/sqrt(x) \ dx #?

How do you integrate #int x^3/sqrt(64+x^2)# by trigonometric substitution?

Question #caa80

Let F(x) be the cdf of the continuoustype random variable X, and assume that F(x)=0 for x<=0 and 0<F(x),1 for 0<x. Prove that if
P(X>x+yX>x)=P(X>y), then F(x)=1#e^(lamdax# , 0<x ?

We have #f:RR>RR,f(x)=1/(1+x^2)# and #I_n=int_0^1f^n(x)dx,ninNN#. Prove that #2nI_(n+1)=(2n1)I_n+1/(2^n),ninNN#*?

What's the integral of #int tan(x)^4 dx#?

Question #30055

Question #53d06

How do you find #lim sqrt(x^2+1)x# as #x>oo#?

How do you find the derivative of #u=e^(e^x)#?

What is #int (x^32x^2+6x+9 ) / (2x^2 x +3 )#?

Question #cc2a5

Question #a39e8

How do you calculate #abs(3+2i)#?

Question #7e404

What is the derivative of #x^(3/x)#?

What are the critical points of #f(x) =1/(xe^x)e^(2x)/x#?

Question #800f5

Question #518f9

How do I solve this using l'hopital's rule rule ?
#y=(sin2x)^(tan3x)#

How do you find #\int _ { 0} ^ { x } \frac { \sin ( t ) } { t } d t#?

How do you find vertical, horizontal and oblique asymptotes for #[(e^x)(x^5) + 2] /[ x^5  x^4 x +1]#?

How to determine complex numbers that satisfy relation:#abs(z)^22iz+2a(1+i)=0;a>0#?

Question #dbf40