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Consider the space curve F(t) = <(1/3)t3, t2, 2t>
a.) Find the unit tangent vector T(t) at the instant t = 1
b.) Find the vectors F→(t) and F→(t) at the instant t = 1. What is the curvature at t = 1?
c.) Find the unit binormal vector B(t) at the instant t = 1
d.) Find the unit normal vector N(t) at the instant t = 1
These short answer questions is basically belong to Mathematics. The 1st question is about sketching a graph for an absolute value. The 2nd question is about sketching an algebraic equation.
question a park in a subdivision is triangular-shaped. two adjacent sides of the park are 533 feet and 525 feet. the
IQ scores are normally distributed with a mean of100 and standard deviation of15. what percent of IQ score are within 9 points either above or below the mean?
A hollow cone is cut by a plane parallel to the base and the upper portion is removed. if the volume of the frustum obtained is 26/27 of volume of the cone. find at what height above the base the section is made, if height of the cone is 30cm
Considering window size w=2, design a Markov chain and evaluate how much improvement can be achieved. What is the tradeoff of the scheme in order to gain a better throughput?
question if 0.3kg mass is attached to a spring with an elastic constant of 250nm and moved 0.25m from the equilibrium
A set of numbers is defined recursively as follows - Which of the subsequent numbers belong to the set?
Find a polar equation for the curve represented by the given Cartesian equation. xy = 12.
If the sum of the areas of both gardens is 165 square yards, find the measure of a side of the square garden.
find the 90%coinfidence interval for the variance and standard deviation for the time it takes an inspector to check a bus for the safety if a sample of 27 buses ha standard deviation of 6.8 minutes. Assume the variable is nornmally distributed.
Explain why an Abelianization fo G is unique up to isomorphism. Construct an Abelianization of G as follows: Let G' be the subgroup fo G generated by all commutators [x,y] = xyz^-1 y^-1, where x, y are real members of G.
using a pair of compasses a ruler and a pencil. construct a triangle CDE in which DE=10cm, DC+8cm and CDE= 45 degrees. construct CF perpendicular to DE such that F lies on DE using a protractor, measure and state the size of DCE
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