Recent content by sp3

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    MHB Solving trig equation cos(x)=sin(x) + 1/√3

    thank you! i find the same thing but if i have to solve cos(x)3- sin(x)3 how do i get to one answer with this $$\pm$$ ? the answer is $$\frac{4}{3\sqrt{3}}$$. I thought about using the identity a3-b3 = (a-b)(a2+2ab+b2) as an alternative method with a=sin(x)+$$\frac{1}{\sqrt{3}}$$ and b=sin(x) ...
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    MHB Solving trig equation cos(x)=sin(x) + 1/√3

    Hello, I'm trying to solve the following equation : cos(x)=sin(x) + 1/$$\sqrt{3}$$ in order to find cos(x)3 - sin3(x) = ? i tried to slove for sin(x) using sin2 + cos2 =1 replacing cos(x) by the first equation and i end up with a second degree polynomial using x = sin(x) and there are 2...
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    MHB Find Dot Product Between Vector CD & Vector K

    Thanks for the reply, how did you find vector K?
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    MHB Find Dot Product Between Vector CD & Vector K

    Hi! I'm given 2 points C(2;6) and D(0;10), a vector A with its components = (-3, 2). I'm asked to find the dot product between vector CD and an unknown vector K, knowing that K is perpendicular to A, same norm as A and with a negative x-component. I know that perpendicular means the dot...
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    MHB Solve Statistics Exercise: 1500 in Biology vs Physics Pie Chart

    There's no device used so I thought some statistical calculations were involved... Thanks for the quick response!
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    MHB Solve Statistics Exercise: 1500 in Biology vs Physics Pie Chart

    Hello, I'm not familiar with basic statistics exercises using pie chart and I'd like to know how i can solve this one: in a faculty science of 3000 students, some are in biology, some in physics and some in chemistry as shown on the pie chart. I can for sure tell that 1500 students are in...
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    MHB Solving for an exponential equation using logarithms 16^{x}-5(4)^{x}-6=0

    Thank youu I suspected something was up with this decimal number... thanks a million times guys! :D
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    MHB Solving for an exponential equation using logarithms 16^{x}-5(4)^{x}-6=0

    Hello I'm having trouble solving for this exponential equation : 16^{x}-(5,4)^{x}-6=0 I used some logarithms properties but can't get anything close to the following solutions here I tried using log base 16 : log16(16^{x})-6=log16((5,4)^{x}) ; then x - xlog16(5,4)=6 ; factorizing x ...
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