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Find the unit tangent vector T(t). r(t) = t2i + tj +4k , P(9, 3, 4) Find a set of parametric equations for the line tangent to the space curve at point P.
a man invests 20000at an annual interest rate of 7%, and 12000 at an annual interest rate of 7.5%. what was his annual income in the two investments?
To buy a laptop, Susan receives a $2000 loan at a 6.5% annual interest rate on January 10. The loan is due May 15. The year is not a leap year. Round the answers to the nearest cent (nearest hundredths)
A piece of wire is 20 cm long. It is to be cut into two pieces (not necessarily of the same length). One piece is ti be bent into a square and the other into a circle. How should this be done so that the resulting sum of the areas of the two objec..
Find the slope-intercept form of a line that is the perpendicular bisector of a line segment connecting (-7,3) and (1,17)
Determine the volume of the solid generated by rotating about the x-axis, the region bounded by the x-axis and the function f(x) = 2cos(x) on 0
Two people must mow an area 500 feet long and 400 feet wide. They agree that each will mow half the area. They decided that one will mow around the edge in a path of equal width until half the area is left.
In a certain fraction, the demoninator is 4 less than the numerator. If 2 is added to both the numerator and denominator, the resulting fraction is equal to 7/5. Find the original fraction
How much red paint needs to be added to 6L of white paint to create the same shade of pink ( Explain you're work and solve.)
Find the volume of the largest rectangular box with edges parallel to the axes that can be inscribed in the ellipsoid
an archaeological sample has only 25 of c-14 as much as in a living sample.knowing that the half-life of c-14 is 5800
integrating a differential equation given the initial values.a --0.0001275204323b 0.033810412806466when timet is zero
A manufacturer of chocolate candies uses machines to package candies as they move along a filling line. Although the packages are labeled as 8 ounces, the company wants the packages to contain 8.17 ounces so that virtually none of the packages con..
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