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A particle moves according to the law d2y/ dx2 = 3x2 if y=3/4 when x = 0 and y = 2 when x = 1 find the value of y.
To ensure that funds will be available when needed, there will be a three month overlap period, and net proceeds from the new issue will be invested at 5% in the money market. Skyline's tax rate is 30%. Should the firm refund its existing debt?
Show that the osculating plane at every point on the curve r(t)= is the same plane. What can you conclude about the curve?
Find the small positive angle from the positive X-axis to the vector OP that corresponds to (3,3). Find the work done by the constant force 4i-2j if the point of application moves along the line segment from P(1,1) to Q(5,7)
The U.S. Postal Service reports that we open and read 78% of the junk mail that we receive. A sports instructional video tape company sends out 10, 500 advertising brochures. How many of the brochures can it expect to be opened and read?
Determine the slope of the tangent to each of the following curves:
If there 5 sections of Discrete Math with a total enrollment of 31 students, what is the smallest possible number of students in the section with the largest enrollment?
A thin wire has the shape of the first-quadrant part of the circle with center the origin and radius c. If the density function is ρ(x, y) = kxy, find the mass and center of mass of the wire.
Two sides of an isoceles triangle each measure 10 cm, and the vertex angle measures 132 degrees, Find the length of the altitude to the base. Find the length of the base.
Evaluate the maximum height of the firework from the given function - Evaluate the maximum height of the firework.
Determine the asymptotic stability of the system x' = Ax where. More specifically, what stability conclusion(s) can be drawn?
A colony of bacteria grows according to the law of uninhibited growth. If 100 grams of bacteria are present initially, and 250 grams are present after two hours, how many will be present after 4 hours? Note: Do not round the value of k.
Difference and relationship between correlation and determination as it applies to linear regression analysis
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