Questions and answers by

s17

Questions (32)

Use Euclid’s algorithm and backwards substitution to determine themultiplicative inverse of 27 in Z40 . I've worked out; 40 =
1. 0 answers
2. 666 views
(i) Express the complex number z = 4i/(1-i√3)in Cartesian form.(ii) Determine the modulus and argument of z, and hence express
1. 2 answers
2. 1,565 views
Determine the vector equation of the line l in R^3 through the points Pand Q with position vectors p = (2, −1, 6) and q = (1,
1. 1 answer
2. 654 views
Let f and g be the functions defined byf : R^2 −→ R^2 (x, y) 􏰀−→ (−y, −x) and g : R^2 −→ R^2 (x, y)
1. 0 answers
2. 624 views
Consider the following subsets of R^2:A={(x,y)∈R^2 : x2 +y2 ≤9}, B={(x,y)∈R^2 : y≥2x+1}, C = {(x, y) ∈ R^2 : y ≥ (x
1. 1 answer
2. 490 views
In a study, info about 224 amphora was gathered. The locations where the amphora were found were recorded as, north, south or
1. 1 answer
2. 467 views
Ash, Kim and Josh meet every Wednesday to go for a run. If they all agree, they go for a long run rather than a short run. Based
1. 1 answer
2. 489 views
In the local boating pond there are 11 plain wooden boats, each with a different number. The owner decides that some of these
1. 1 answer
2. 753 views
How many positive integers less than 1000 are there which contain at least one 4 or at least one 9 (or both)?
1. 1 answer
2. 638 views
Let A1 = { 1 , 2 , 3 , 4 , 5 , 6 }, A2 = { 7 , 8 , 9 , 10 , 11 , 12 , 13 } and A3 = { 14 , 15 , 16 , 17 , 18 , 19 }.How many
1. 1 answer
2. 445 views
A particle of mass 4040kg moves in a straight line such that the force (in newtons) acting on it at time,t (in seconds) is given
1. 1 answer
2. 671 views
Which of the following equivalences is true?P(n), n is a multiple of 3 Q(n), n is even -P(4) and Q(3) -P(3) and Q(3) -P(3) or
1. 1 answer
2. 311 views
dy/dt = -t^3y^2-ty^2dx/dt=(sin t)/(cos t+10) dy/dx -3y/x =x^3cosx Which differential method should be used for each equation?
1. 1 answer
2. 503 views
For each of the following linear transformations, write down its matrix and describe the transformationa) g(x,y)=(4x,6y) b)
1. 0 answers
2. 602 views
With the matrixA = (0 6 4 12) I have calculated the inverse of (-1/2 1/4 1/6 0) I'm then asked to find the equation of the image
1. 1 answer
2. 396 views
Find the equation of the line that is the image set of the flattening,f(x,y)=(3x-3y, x-y)
1. 3 answers
2. 1,996 views
Let f be the linear transformation represented by the matrixA=(-2 3 4 -4) a=-2, b=3, c=4, d=-4 Find the point (x,y) such that
1. 1 answer
2. 600 views
A carton of mass 35kg is at rest on a rough plane inclined at an angle of 40 degrees to the horizontal.Calculate the magnitude
1. 1 answer
2. 601 views
A bucket hangs from two wires. The left-hand wire makes an angle of 60 with the vertical, and the magnitude of the tension in
1. 2 answers
2. 1,121 views
Let f be the invertible linear transformation represented by the matrixA = (-2 -3 2 -3) Find in terms of x and y the equation of
1. 0 answers
2. 508 views
A particle, which remains at rest, is acted on by three forces F, G, and H.The force F has magnitude 6N and is directed to the
1. 1 answer
2. 738 views
A basket of flowers weighing 2kg is placed on a flat grassy slope. The coefficient of static friction between the basket and the
1. 1 answer
2. 626 views
the position of a car in time t (in hours) is (-10+45t,40+70t) and a truck (40-40t,20+75t)find the distance between the car and
1. 2 answers
2. 332 views
Find the least residue of 7^5 mod 50 without using a calculator.so far I have 7=7 mod 50 7^5 = 7^5 mod 50 7^2 = 49 7^3=343 since
1. 0 answers
2. 478 views
Show that -3 is a multiplicative inverse of 17 modulo 26Started with 17 * -3 = -51 but doesn't seem right? help
1. 1 answer
2. 539 views
Use Euclid's algorithm to find a multiplicative inverse of 15 mod 88, hence solve the linear congruence 15x=20(mod 88)So far I
1. 0 answers
2. 640 views
The equation4x^2 +9y^2 -36 = 0 represents an ellipse in standard position. Find the coordinates of the foci and the equations of
1. 1 answer
2. 527 views
Two ships pursue straight-line courses at steady speeds. At each time t (in hours, where 0 less-than-or-equal t
1. 1 answer
2. 797 views
Find a parametrisation of the hyperbola that is obtained by translating the hyperbola with equation9x^2 - (y^2)/16 =1 by -2
1. 2 answers
2. 777 views
Taylor series:f(x)=(1/16 +x)^(-1/4) =2-8x+80x^2 -960x^3..... and through differentiation g(x) = (1/16 +x)^(-5/4)
1. 1 answer
2. 391 views
Solve the equation z^5=-1 giving the solutions in polar formI've got z^5 =1 but just not sure as its a negative
1. 2 answers
2. 534 views
Use the binomial series to find the Taylor series about 0 for the functionf(x) = (1 + x)−3/5, giving all terms up to the one
1. 0 answers
2. 589 views