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Do there exist primes #a, b, c# satisfying #a^2+b^3=c^4#?

Consider the sequence 1, 3, 3, 3, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, ... What is its 2016th term?

How do you solve #abs(xa)<=a#?

Question #e8695

How does the profile of the ground have to be, to be able to drive with triangular wheels (equilateral) and without bumps?

Can you use mathematical induction to prove that #t_n >= t_(n1)# for all #n in ZZ^+# for a sequence with the general term: #t_n=(3n+5)/(n+2), n in ZZ^+#?

Question #7cc9a

Does #int_1^oo1/root(3)(x+1)dx# converge or diverge? If it converges, what is the integral?

Question #29a12

Can you use mathematical induction to prove that the sequence defined by #t_1=6# , #t_(n+1)= t_n/(3n# for all #n in ZZ^+# can be written as #t_n=18/(3^n(n1)!# for all #n in ZZ^+#?

Suppose that #f:RR>RR# has the properties
#(a)# #f(x) le 1, forall x in RR#
#(b)# #f(x+13/42)+f(x)=f(x+1/6)+f(x+1/7), forall x in RR#
Prove that #f# is periodic?

How do you test for convergence of #Sigma (1)^n/sqrt(lnn)# from #n=[3,oo)#?

Can you use mathematical induction to prove that #2^n > 4n# for all #n in ZZ^+ n>=5#?

What is the LCM of #z^718z^6+81z^5, 5z^2405# and #2z+18#?

Question #2cc45

Question #93699

What is 30% of 400?

How do you find the nth partial sum, determine whether the series converges and find the sum when it exists given #(11/2)+(1/21/6)+(1/61/24)+...+(1/(n!)1/((n+1)!))+...#?

8 is what percent of 40?

Question #919b3

Answer is 4 which order to solve?
#3^0 (5^0  6^1 * 3)/ 2^1#
I don't know if I should bring the #6^1# down first or multiply by 3 first.

How do you integrate #int sqrtxlnx# by integration by parts method?

How do you test the series #Sigma 1/(nsqrtn)# from n is #[1,oo)# for convergence?

How do you integrate by substitution #int x/(sqrt(1x^2) dx#?

Question #85951

How do you find the product #(3c+4d)^2#?

#y_n=log x_n, n =2,3,4,...and y_n(n1)/n y_(n1)=1/n log n#, with #y_2=log sqrt2#, how do you prove that #x_n=(n!)^(1/n)#?

What is the derivative of #f(x)=e^(x^2lnx)#?

Question #b2dc7

How do you solve #sqrt(x+7) = x5# and find any extraneous solutions?

How do you find #dy/dx# by implicit differentiation of #x^2+y^2=36#?

How do you simplify #[(2xy^3)^2]^3#?

How do you prove that the limit of #(x+3)=5# as x approaches 2 using the epsilon delta proof?

Question #05911

Find the limit... ?

How do you prove that the limit #(x^2) = 4# as x approaches 2 using the formal definition of a limit?

Question #4d4db

How do you find the prime factorization on 75?

How do you find a polynomial function that has zeros 0, 10?

How do you solve by factoring and using the principle of zero products: #64v^2=36#?

What is the difference between an explicit and recursive formula?

Question #54f6a

Question #95828

How do you differentiate #y = e^(2x + x^2)#?

Question #c86dc

Question #c86dc

Question #a1e8f

Question #94a46

How do you solve and write the following in interval notation: #4+abs(3x+2) <=5#?

Question #0426c

How do you solve #lnxln5=0#?

How do you find the derivative of #y=sqrtx/x#?

How do you determine whether x1 is a factor of the polynomial #x^33x^2+4x2#?

How do you solve #5A+7=3A+7+2A#?

How do you use the epsilon delta definition to prove that the limit of #x^24# as #x>2#?

Prove?
#cscx(1+cosx)(cscxcotx)=1#

How do you solve #4^x=13#?

How do you add #\frac { x } { x + 3} + \frac { 6x  2} { x  3}#?

If #A= <5 ,3 ,3 ># and #B= <2 ,2 ,8 >#, what is #A*B A B#?

How do you differentiate #y=sin(e^x)#?

The sum of a positive integer and its square is 90. What is the number?

What is the length of side BC of the triangle? Explain how you arrived at your answer.

How do you solve #x^3>=9x^2#?

Question #5d572

How do you evaluate the limit #e^(x)/x# as x approaches #oo#?

Question #828cc

Question #828cc

How do you integrate #int sec^3xtanx#?

How do you find the range of #h(x)=x^2 4# for the domain (2,0,3,8)?

What is the difference between squaring #sqrt(x1)# and #sqrtx 1#?

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

Question #9ed58

How do you solve #2=4cos^2x+1# for #0<=x<=2pi#?

How do you integrate by substitution #int x^3/sqrt(1+x^4) dx#?

How do you integrate #int cos6x dx#?

How do you integrate #int sin2x dx#?

Question #6f533

Question #312d6

If #sum_(n=2) ^oo (1+k)^n=2# what is #k#?

Question #142c1

Question #d9dbd

Which number is equivalent to #3^4/3^2#??

Question #452a0

How do you find #\sum _ { n = 1} ^ { \infty } \frac { 15^ { n } } { ( n + 1) 6^ { 2n + 1} }#?

How can you the least find denominator for 1/8 and 2/9?

Question #0dedf

Question #aec5e

Using mathematical induction for integers n #>=# 1, prove a + (a+d) +...+ (a+nd) = 1/2 (n+1)(2a+nd)?

Question #fc10d

Question #b2380

Question #0857c

Question #e1ae5

Among all pairs of numbers whose sum is 100, how do you find a pair whose product is as large as possible. (Hint: express the product as a function of x)?

How do you solve #8^(2x5)=5^(x+1)#?

Question #afd88

Question #34d52

What is #\lim_{x \rightarrow 0} x^{2} \cos ( \frac{\pi}{x} )#?

How do you find the limit of #sin((x1)/(2+x^2)) # as x approaches infinity?

The #sqrt75# is between what two integers?

If #2x 5#, #x1#, and #3x 8# are all integers and #x 1# is the median of these integers, what is x?

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