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Problem 1 Find the equation of the tangent plane to the central conicoid x2 - 4y2 + 3z2 + 2 = 0 at the point (1,2,0).
Problem 2 Find whether the plane 2x + 3y + 2z =3 touches the central conicoid 2x2 + 3y2 + z2 = 1 or not.
Define f(x) = x if x is rational and f(x)=0 if x is irrational. Compute the integration 1top0bottom f dx and integration 1top0bottom f dx. is f integrable on [0,1]?
A bacteria culture starts with 7 bacteria which multiply simultaneously every three house. If the first generation is born fromt he initial group at 12 midnight
Consider an experimental procedure to measure the average volume of M&M Peanut candies. One hundred piece of the candy are poured into a graduated cylinder with a 30 diameter.
In a survey of 250 dancers, 167 knew the ballroom dances, 140 knew the Latin dances, and 106 knew the swing dances. Of these, 65 knew the ballroom and swing dances
A triangular sail has an area of x^2 + 5x + 6 square meters and a height of x + 3 meters. Find the length of the sail's base.
What is the probability that a randomly chosen employee is a manager and will gain promotion next year?
The equation for the mid-span deflection of a simply supported beam carring a uniformly distributed load can be determined from. Taking care with units, use this transposed equation to find the maximum length of beam that can be used if the midspan..
Sketch a graph of the given function C(h) - Where is the vertical asymptote? Does it play a role in this context?
Digital information can be represented through the use of Boolean algebra, which is an important concept to study if one wishes to understand how computers work.
Give the general steps for graphing a linear function. Give an example of a linear function and graph it.
State whether it is inconsistent or has infinitely many solutions. If the system has infinitely many solutions, write the solution set with y arbitrary.
If the speed ( in m/sec ) of a particle moving on the x-axis at time t seconds (t>0) is given by: V(t)=t^3-8t^2+15t+10 estimate during what time period the speed of the particle is less than 10m/sec.
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