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sin^2x-5sinx-3=0 |
2004-08-02 |
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From Kerri: hey my name is kerri i'm a college students and i was wondering if you could help in with this problems
sin^2x-5sinx-3=0 Answered by Penny Nom. |
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A tangent to a hyperbola |
2004-08-02 |
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From A student: The equation of a hyperbola is 32x*2 -18Y*2-64x +72y +248=0. The equation of a tangent line to this hyperbola is y= (16/15)X + 10/3 I have been trying to find the point where this line intersects the graph. What I did was solve for x and then plugged in the result into the equation of the hyperbola, but I am getting two answers and I am supposed to get only one because the line is tangent to the graph. For this reason, I would like to know what I am doing wrong or what I have to do to know which answer is correct. Answered by Penny Nom. |
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Two problems |
2004-08-02 |
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From JJ: A question on my homework assignment about logs says "suppose that x=logA and y=logB & write the expression in terms of x and y"
log(A - B)
Is this even possible? It seems like a typo.
Another is: "solve for t."
12(1.221)^t = t + 3
Is this one possible? If it is, I cant figure it out. Answered by Penny Nom. |
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A trig problem |
2004-08-02 |
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From A student: Given that the maximum value of [sin(3y-2)]^2 -[cos(3y-2)]^2
is k. If y>7, Find the minimum value of y for which
[Sin(3y-2)]^2 - [cos(3y-2)]^2 =k. Answered by Penny Nom. |
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Domain and range |
2004-08-01 |
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From JJ: I'm checking domain and ranges of these functions. Are these right? Answered by Penny Nom. |
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The law of sines |
2004-08-01 |
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From Joy: How do you solve this? Do you solve this triangle using the law of sines of the law of cosines? (ASA)
A=120DEG. B=40DEG c=35 cm
I keep getting different answers. Answered by Penny Nom. |
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Rate of change problems |
2004-08-01 |
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From Jim: I just want to check a couple average rate of change problems because i just guessed on how to do them. Can you tell me how to do them?
the question says if f(x) = sqrt(x + 3), find f( x + rx). I got sqrt( x + rx + 3)
the other two are : f(x)= 3x-1 (f(x) - f(1)) / (x-1) ... I GOT 3 &
f(x)= x^3 - x (f(x) - f(1)) / (x-1) ... I GOT x^2 + x Answered by Penny Nom. |
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Combien de litre y a t'il dans un M3 |
2004-07-30 |
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From Un eleve: j'aimerais savoir combien de litre y a t'il dans un M3. car je dois mettre un produit spécial dans une piscine. Answered by Claude Tardif. |
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A parallelogram |
2004-07-30 |
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From Keith: I'm a high school student and have been having trouble with this problem , which is based on one pair of parallel sides of a parallelogram: If AD = 6x-5 and BC = 3x+7 find x. Of course both sides have to be equal. Now I know the value of x is 4 So my question is how do you get 4 from the given information. Answered by Penny Nom. |
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Extraneous solutions |
2004-07-28 |
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From Nicole: When I have a problem like (2x + 3)/5 = (x + 1)/6 and the question asks to check for extraneous solutions, how do you solve that? Answered by Penny Nom. |
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Water in a cone |
2004-07-28 |
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From A student: A vertically inverted cone( i.e. vertex down) has a radius 7
inches and height 24 inches. Water is filled to one third of its
height .Find the ht of water when cone is turned upside down Answered by Penny Nom. |
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The third side of a triangle |
2004-07-28 |
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From Annette: How do you find the length of a triangle side if you know two sides? Answered by Penny Nom. |
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Factoring |
2004-07-28 |
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From Nicole: Can 4x2 + 19x + 12 be factored? i have tried but i cannot figure it out. Is there a way to find out if it cannot be factored before i try to work out the problem? Answered by Penny Nom. |
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The intersection of two graphs |
2004-07-28 |
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From JJ: Is there a way to find the intersections of these graphs algebraically?
x^2 + y = 4 & 2x - y = 1
I got (1.45, 1.9) and (-3.45, -7.9) with a graphing calculator.
AND THESE...
y = 3.29x & y = 5.5(x^0.5)+ 10000
I got x at 3133 with a graphing calculator.
Answered by Penny Nom. |
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x^2 = x + 2 |
2004-07-26 |
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From A parent: x2 = x+2
My daughter came home with this equation today and although I know the answer is x=2, i have no way of proving it by showing any working out. Answered by Penny Nom. |
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