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The position vector of a particle at time t is
r(t) = 2 cos ti + 3 sin tj + tk.
Determinr the tangential and normal components of acceleration at t = π/4, and make a sketh depicting the particle's path. Indicate the direction of the velocity vector and acceleration vector when t = π / 4.
Using the given data prepare a line chart, and answer the following question. Does the data reflect any trend during the period
What is the difference between prime numbers and composite numbers? How are prime numbers and composite numbers related? Prime numbers are often used in cryptography.
Find the vertices, foci, length of the major axis and length of the minor axis of the elipse ((x-1)^(2))/(4)+((y-2)^(2))/(9)=1
a triangle drawn on a map has sides of lengths 8 cm, 11 cm, and 14 cm. The shortest of the corresponding real-life distances is 105 km. Find the longest of the real-life distances.
What four steps should be used in evaluating expressions? Can these steps be skipped or rearranged? Explain your answers.
in the 2010 winter olympics germany canada and the united states won a combined total of 93 medals. germany won seven
Suppose that V is a complex (i.e. F = C) inner-product space. Prove that if N, an element of L(V), is normal and nilpotent, then N = 0.
Last week was a basic introduction to Matlab. This week you will learn how to use three built-in functions (laplace, ilaplace and dsolve).Using the syms function
Use the root test to show that a geometric series converges only if its ration has absolute value less than 1, or its initial term is 0
An apple orchard has an average yield of 32 bushels of apples/tree if tree density is 24 trees/acre. For each unit increase in tree density, the yield decreases by 4 bushels/tree. How many trees should be planted in order to maximize the yield?
Find 5th Taylor Polynomial for function f(x) = sin(x) - x. Using known Taylor series for sin(x): sin(x) = x - (x3/3!) + (x5/5!) - .......+ ((-1)n x2n+1/(2n + 1)!) + O(x2n+3).
Find the sum/difference as a product of sine’s or cosines.
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