06/29/21

Calculate the parametric equations given two points
Jake and Paul start moving on the xy plane at the same time. Jake starts from (-2,5) and heads to (4,-3) on a straight path. Jake gets to his point in 5 seconds.Paul begins at (-5, 3) and goes... more
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06/27/21

Solve the differential equation by using Laplace Transform
Solve the differential equation by using Laplace Transformy''+4y'=15et y(0)=5,y'(0)=-2
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06/26/21

Find pair of 3D points given distance.
In a problem, I was given two lines AB going through A(5, -1, 2) and B(2, -1, 4) and CD going through C(1, 2, 6) and D(0, 1, 2). The distance between these lines is 38/sqrt(209). I am supposed to... more
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06/25/21

Find the position vector of a partical

Find the position vector for a particle with acceleration, initial velocity, and initial position given below.ä(t) =(3t, 6 sin(t), cos(4t))v(0) (-2,4, 2)r(0) = (1,4, -3)r(t) =
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06/25/21

Rational function 4x^4-2x+3/2x^3-6x^2+1
4x^4-2x+3/2x^3-6x^2+1I need to find the vertical asymptote, horizonal asymptote or slant asymptote. I graphed it using a online graphing tool and it looks really weird, cannot figure out the... more
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06/24/21

Coastal city question

At this one coastal city, the tides vary greatly during the day. During May, the predicted height of the tides are 3.0 m at 4 AM, 11 m at 10 AM, 3.0 m at 4 PM and 11 m at 10 PM. Assume we start the... more
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06/24/21

Trigonometry question
Elli decided to ski to a friends cabin. She skied 10km in the direction N40°E. She rested, then skied S45°E and arrived at the cabin. The cabin is 14.5km from her home, determine the distance she... more
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06/23/21

geometry proof and proven

The management of Faculty of Science and Mathematics intends to build a simple garden pond at the car park area in front of Block 1 building. The pond would be in the form of a regular hexagonal... more
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06/23/21

Initial value problem

Determine the first 4 coefficients (a0, a1, a2and a3) of a series solution around to=0 for the initial value problem below(d/dt y(t)) +(-2t - 1) y(t) = 0, y(0) = −1 Tip: express the solution in the... more
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06/22/21

Differential Equation
Find the particular solution to the differential equationd2y/dx2 = -3/x4given that y = 1/2 and dy/dx = −1 when x = 1.
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06/21/21

I got this question in my math exam and I got it wrong so, I would like to know the right solution; Finding an Euler brick whose space diagonal is also an integer.
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06/20/21

Calculus question related to series please help asap!
f(x) = summation from n equals 1 to infinity of the product of the quotient of the quantity n plus 1 and 4 to the n plus 1 power and x to the nth power with an interval of convergence, –4 < x... more
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06/19/21

How to write as an algebraic expression

We have cot(cos-1 √x2-1/x) For x > 1I drew a triangle and used the Pythagorean theorem. However, I did x2-(√x2-1)2 = b2 and I got x2-x2-1 = b2 where am I going wrong? Thank you!
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06/19/21

Question related to the mean value theorem and increasing and decreasing functions
Let L be a differentiable function on (0, ∞) such that L'(x)=1/x and L(1) = 0. Prove that for any two positive numbers a and b, L(ab) = L(a) + L(b). HINT: Begin by showing that, for any x > 0,... more
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06/18/21

Determining degernerate conics
How can I tell the type of this conic, and determine if it is degenerate or not?x2 + 4xy + 2x + 2y2 - 1 = 0
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06/17/21

Calculus series question please help asap!!!!!!!!!!
What is the maximum possible error generated in using the 5th degree Maclaurin polynomial for sin(x) for x in the interval [−0.3, 0.3]?a). The absolute value of 0.3 raised to the 7th power over 6... more
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06/09/21

Determine the scaler equation of a plane that is parallel to the line l: (x,y,z)=(-1,3,5)+k(2,4,1) and passes through the same x and y intercepts from the plane 3x-4y+2z-24=0

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