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How towrite out the first five terms of each geometric sequence here?
(1) #a_1 = 2, r = 4#
(2) #a_1 = 48, r = 1/3#

How do you find #int sinx 1/csc(x)dx #?

Is "betrayer" a word?

How do you find the domain of #f(x) = (x4)/(x+3)#?

How do you find #lim 1+1/x# as #x>0^+#?

What is #(pi)/12 # radians in degrees?

For #f(x)=x^3#, #a=1#, and #2.5\lex\le3.5#, find the following?

How do you integrate #(6x^5 2x^4 + 3x^3 + x^2  x2)/x^3#?

MacLaurin expansion from #f(x)=x^(tm)\sin^2(4x)#?

What is the domain of #f(x)= x/(x^2+1)#?

Sin2x+cosx=0 solve the equation on the interval 0,2pi?

Use series to evaluate the limit #\lim_(x\rarr0)(x^2/21\cos(x))/x^4#?

How do you evaluate the limit #sin(6x)/6# as x approaches #0#?

Find the integral below?

How do you use the direct comparison test to determine if #sume^(n^2)# from #[0,oo)# is convergent or divergent?

What is the antiderivative of #cos^2 x#?

Integrate the following (below) using infinite #\bb\text(SERIES)#?

How would you evaluate the following the indefinite integral? (use C for the constant integration)

How do you rewrite this Logarithmic problem in expanded form?

What is the improper integrals sqrtx ln 5x dx from 1 to e ?

How to integrate 2x sec^2 x dx?

The expression 1+cos2x/sin2x is equivalent to ?

What is # lim_(x>oo) x^2/(x^27) #?

Set up expansion formula for Taylor Series #f(x)=\root(3)(x)# centered round #a=1#?

The function #f:f(x)=x+1# is decreasing in the interval...?

How do you simplify #(3)^2#?

Determine the values of #p# for which the integral below is convergent?

How do you integrate #int 1/(x^2x20) dx# using partial fractions?

Find the first four terms of the Taylor Series: #f(x)=xe^x# given #a=0#?

What is the integral of #int sin^3xcos^2x dx# from #0# to #pi/2#?

Set up Taylor expansion #\bb\color(red)\text(formula)# for #sqrt(x)# around #a=2#?

Find the Taylor expansion #\color(red)\bb\text(formula)#... for #f(x)=1/x^2# given #a=4#?

Integration of ; ((1/X(4 + Inx))dx?

Is it possible to get some help? Thanks!

How do you solve: sin2θ + cosθ = 0 between 0 and 2pi?

Differentiate #(sqrt(x) + 1 )^2/ x# with respect to #X.#?

Can a continuous function have asymptotes?

What is the derivative of #f(x)=cos^1(x)# ?

How do you simplify #i^100#?

How do you integrate #(cscx)^2#?

If F (x)=x^21 then find f inverse?

Find the arc length of the function #y=1/2(e^x+e^x)# with parameters #0\lex\le2#?

How do you test for convergence #(sin(2n))/(1+(2^n))# from n=1 to infinity?

What is the Taylor series of
f(z) = #1+z^2+1/(1+z^2)# ?
Please save me! Thank you :)

How do you simplify #5!#?

Calculate the geometric series? Please

Find the arc length of the function below?

Dy/dx?
Ln(sin^1(x))

Evaluate the definite integral.?

Check for convergence or divergence in the following sequences?

How do you show whether the improper integral #int ln(x)/x^3 dx# converges or diverges from 1 to infinity?

Is the series indicated absolutely convergent, conditionally convergent, or divergent? #rarr\41+1/41/16+1/64...#

How do you integrate #int cos(3t)cos(4t)dt#?

Is the series #\sum_(n=1)^\infty\tan^1(1/n)# absolutely convergent, conditionally convergent or divergent?

#\sum_(n=2)^\infty ((x+2)^n)/(2^n\lnn)#?

How do you find the value of #costheta# given #sintheta=3/5# and in quadrant IV?

How does one verify #(secxcosx)^2=tan^2xsin^2x#?

How do you find a power series representation for # x^2 / ( 1  2x )^2#?

How do you find the derivative of #y= sin(sin(sin(x)))# ?

How do you solve this optimization question?

How do you find the domain of #h(x)= 1/(x+1)#?

How do you solve #2^(n+4)=1/32#?

How do you prove that the function #f(x) = (x + 2x^3)^4# is continuous at a =1?

If #sqrt(x1)=2#, what is #(x  1)^2# ?

A customer pumps $35.40 total in gas and pays with a $50 bill. What is the amount of change the customer should receive?

How do you find the derivative of #f(x)= 1/x^2#?

What is the derivative of #f(x) = ln(sinx))#?

How do you use the fundamental theorem of calculus to find F'(x) given #F(x)=int (csc^2t)dt# from [0,x]?

What is the solution to the equation #e^(53x)=10#?

How do you simplify #4/(sqrt(4x) + sqrt(4x))#?

The population of a town a town after t weeks is given by p(t)=1200(2^t).
a) what is the initial population of the town?
b) how many people are there after 1 week?
c) what is the rate of change of people after 1 week?

Help Please! A radioactive substance decaying so that after t years, the amount remaining, expressed as a percent of the original amount is a(t) = 100(1.1)^t. determine the function, a', which represents the rate of decay of the substance.?

As above, a particle has velocity v(t)= #3t^22t1# measured in m/s. Compute total distance traveled over [0,2] in meters?

How do you find the integral of # xe^x  sec(7x)tan(7x) dx#?

How do you find the 6th partial sum of the infinite series #sum_(n=1)^oo1/n# ?

This is a multiple choice question. A certain radioactive substance is decaying so that at time t, measured in years, the amount of the substance, in grams, is given by the function f(t)=e^t +10. what is the rate of decay of the substance after 1 year?

I don't know how this happen!!! Help me in fatorial?

What is the radius of convergence of the MacLaurin series expansion for #f(x)= sinh x#?

How do you differentiate #f(x)=sin(e^(3x)) # using the chain rule?

How do you find #intx^2 e^(1x)dx# using integration by parts?

How do you find #intsqrtx lnxdx# using integration by parts?

How do you find the value of #cot 0#?

Express using a single log 3logab  2logb  3loga?

Is the series #\sum_(n=1)^\infty((5)^(2n))/(n^2 9^n)# absolutely convergent, conditionally convergent or divergent?

Is the series #\sum_(n=1)^\inftyn^2/(n^3+1)# absolutely convergent, conditionally convergent or divergent?

Is the series #\sum_(n=0)^\infty n^n/(4^n n!)# absolutely convergent, conditionally convergent or divergent?

How do you integrate #int xe^(x/2)# using integration by parts?

How do you find the integral of #(x^2)/(16x^2)^(1/2)#?

What is 1/2 to the negative fourth power?

How do I find the derivative of #f(x) = sqrt(x+3)# using first principles?

I don't understand this explanation for #\sum_(n=0)^\infty((1)^n)/(5n1)#? Why test for convergence/divergence AGAIN, if the Limit Comparison Test
confirms that both series are the same?

Integration of cos(logx)dx?

Solve the equation for x : 2sinx+1=1 ?

How do you simplify #(cos2x+sin^2x)/cos^2x#?

Inverse of e to the power 2x?

How do you find the integral of #int4x^3 sin(x^4) dx#?

How do I find #sintheta# = #cos^2theta# 1 in radians from #[0, 2pi]#?

How do you solve #tan^2x/secx+cosx=2# for #0<=x<=2pi#?

Evaluate #int ( 8(e^x 1))/(7x) dx# as a power series.?

Are there any solutions for this equation within (0,2π)? [cosx=sinx] if so, what are they?

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