Answers edited by sente
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Determine the interval whereby 6x^2 + 44x + 70 ≥ 0?
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How do you find all solutions to x^5+243=0x5+243=0?
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Question #da791
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How do you simplify (x^(1/3) + x^(-1/3))^2(x13+x−13)2?
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If n = 1/4n=14, what is the value of (2n-5)/n2n−5n?
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What are the all the solutions between 0 and 2π for sin2x-1=0sin2x−1=0?
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What is 1 divided by 0.2?
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What is int_0^pi (lnx)^2 / x^(1/2)∫π0(lnx)2x12?
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Question #98d02
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How do you solve tan^-1(2x)+tan^-1(x)= (3pi)/17tan−1(2x)+tan−1(x)=3π17?
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Write the equation of a function with domain and range given, how to do that?
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In 1/6=1.6666..., repeating 6 is called repeatend ( or reptend ) . I learn from https://en.wikipedia.org/wiki/Repeating_decimal, the reptend in the decimal form of 1/97 is a 96-digit string. Find fraction(s) having longer reptend string(s)?
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How do you solve tan^2 x=tan xtan2x=tanx?
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How do you prove sec^2 x - cot^2 ( pi/2-x) =1sec2x−cot2(π2−x)=1?
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How do you differentiate p(y) = y^2sin^2(y)cos(y)p(y)=y2sin2(y)cos(y) using the product rule?
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How do you solve sin^2 x - cos^2 x=0sin2x−cos2x=0 for x in the interval [0,2pi)?
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What is the product of 2x^2+7x-102x2+7x−10 and x+5x+5 in standard form?
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Question #a71e9
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How do you find the number of terms in the following geometric series: 100 + 99 + 98.01 + ... + 36.97?
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What is the distance between (0, 0, 8) (0,0,8) and (9, 2, 0) (9,2,0)?
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How do you use DeMoivre's Theorem to find (1+i)^20(1+i)20 in standard form?
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The movement of a certain glacier can be modelled by d(t) = 0.01t^2 + 0.5t, where d is the distance in metres, that a stake on the glacier has moved, relative to a fixed position, t days after the first measurement was made. Question?
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How do you solve 2015 AP Calculus AB Question #1?
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How do you solve 120=100(1+(.032/12))^(12t)120=100(1+(.03212))12t?
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?How do you find the sum of the infinite geometric series 0.03, 0.03, 0.003?
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Question #d2752
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How do you perform inversions for y = x^2 and y = x^4?y=x2andy=x4? Is (dx)/(dy)dxdy from the inverse 1/((dy)/(dx))?1dydx?
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Question #9e52a
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Suppose there are m Martians & n Earthlings at a peace conference. To ensure the Martians stay peaceful at the conference, we must make sure that no two Martians sit together, such that between any two Martians there is at least one Earthling?(see detail)
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Find the area of the shaded region (green) knowing the side of square is s = 25 cms=25cm?
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How do you show that if a+b=0a+b=0, then the slope of x/a+y/b+c=0xa+yb+c=0 is 11?
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How to write the first four terms of the Maclaurin series
for the function f(x)=(x+1)e^(2x) given that ?
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How do you verify (cosX+sinX)/(cscX+secX) = (cosX)(sinX)cosX+sinXcscX+secX=(cosX)(sinX)?
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How do I graph the ellipse with the equation x^2+4y^2-4x+8y-60=0x2+4y2−4x+8y−60=0?
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How do I find the natural log of a fraction?
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How do you simplify (sina+tana)/(1+cosa)sina+tana1+cosa?
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How do you find the number of terms in the following geometric sequence: -409.6, 102.4, -25.6,..., 0.025?
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Among all pairs of numbers with a sum of 101, how do you find the pairs whose product is maximum?
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A composite geometrical shape is made up of a square, equilateral and right triangles. Calculate the area of hatched triangle?
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Is there a systematic way to determine the number of numbers between 10 and, say, 50, divisible by their units digits?
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How do you simplify ((2n)!)/(n!)(2n)!n!?
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How do I perform matrix multiplication?
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What is 0.09 (repeating) as a fraction?
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Is sqrt(2)^(sqrt(2))√2√2 rational ? And sqrt(2)^(sqrt(2)^sqrt(2))√2√2√2?. And sqrt(2)^(sqrt(2)^(sqrt(2)^cdots))√2√2√2⋯?
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Suppose that lim_(xrarrc) f(x) = 0 and there exists a constant K such that ∣g(x)∣ ≤ K " for all " x nec in
some open interval containing c. Show that lim_(x→c)
(f(x)g(x)) = 0?
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How do you simplify (2+2i)/(1+2i) and write in a+bi form?
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Question #0f6bd
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The center of a circle is at (0,0) and its radius is 5. Does the point (5,-2) lie on the circle?
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How do you solve log x + log (x-3) = 1?
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What is the Taylor series for f(x)= cosx centered on x= pi/3?
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How do you simplify cos (pi - theta)?
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Question #9c5a0
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What is (-7pi)/8 radians in degrees?
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How do you express sqrt(-4/5) as a product of a real number and i?
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What are complex numbers?Thanx.
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Question #5d611
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Question #c5432
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A 45-45-90 triangle has a hypotenuse of length 14 units. What is the length of one of the legs?
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Question #2b5bb
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Question #e07a4
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Does a_n=1/(n!) converge?
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What is the value of 1/n sum_{k=1}^n e^{k/n} ?
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How do you use the ratio test to test the convergence of the series ∑(2k)!/k^(2k) from n=1 to infinity?
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Question #db818
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How do you graph g(x)= log_6 x?
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6 equal circular discs placed so that their centres lie on the circumference of a given circle with radius (r), and each disc touches its 2 neighbours. What is the radius of a 7th disc placed in the centre which will touch each of the each existing ones?
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Does this word construction (a meditation on Exodus 3) count as poetry, and if so how would you classify it?
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Solve for x in RR the equation sqrt(x+3-4sqrt(x-1))+sqrt(x+8-6sqrt(x-1))=1 ?
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If the zeros of x^5+4x+2 are omega_1, omega_2,.., omega_5, then what is int 1/(x^5+4x+2) dx ?
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Question #a43bd
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How do you integrate 1/(1+e^x) using partial fractions?
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How do you solve 2/(x+3)-4/(x^2+2x-3)=1/(1-x)?
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What is lim_(x->0) (x^3+12x^2-5x)/(5x) ?
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What's the LCM of 6 and 8?
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Question #de166
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Question #b5ab2
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What is 1/3 of 18?
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How do you show that integration of x^m e^(ax)dx = (x^m e^(ax) )/a - m/a int x^(m-1) e^(ax) dx?
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How do you simplify -2/(3-i)?
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Question #6d8e6
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How do you convert (3, -3sqrt3) to polar form?
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In the triangle embedded in the square what is the measure of angle, theta?
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Find the matrix A for the linear transformation T relative to the bases B = {1,x,x^2} and B' = {1,x,x^2,x^3} such that T(vecx) = Avecx?
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What is the derivative of f(x) = (lnx)^(x)?
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Is sqrt33 an irrational number?
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What is the frequency of f(theta)= sin 3 t - cos 21 t ?
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