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s17
Questions and answers by visitors named
s17
Questions (32)
Use the binomial series to find the Taylor series about 0 for the function
f(x) = (1 + x)−3/5, giving all terms up to the one
1 answer
510 views
Solve the equation z^5=-1 giving the solutions in polar form
I've got z^5 =1 but just not sure as its a negative
3 answers
463 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 answer
349 views
Find a parametrisation of the hyperbola that is obtained by translating the hyperbola with equation
9x^2 - (y^2)/16 =1 by -2
3 answers
719 views
Two ships pursue straight-line courses at steady speeds. At each time t (in hours, where 0 less-than-or-equal t
2 answers
744 views
The equation
4x^2 +9y^2 -36 = 0 represents an ellipse in standard position. Find the coordinates of the foci and the equations of
1 answer
450 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
2 answers
579 views
Show that -3 is a multiplicative inverse of 17 modulo 26
Started with 17 * -3 = -51 but doesn't seem right? help
1 answer
458 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 answer
432 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
3 answers
284 views
A basket of flowers weighing 2kg is placed on a flat grassy slope. The coefficient of static friction between the basket and the
2 answers
553 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
2 answers
633 views
Let f be the invertible linear transformation represented by the matrix
A = (-2 -3 2 -3) Find in terms of x and y the equation of
1 answer
446 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
3 answers
1,049 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
3 answers
533 views
Let f be the linear transformation represented by the matrix
A=(-2 3 4 -4) a=-2, b=3, c=4, d=-4 Find the point (x,y) such that
2 answers
516 views
Find the equation of the line that is the image set of the flattening,
f(x,y)=(3x-3y, x-y)
4 answers
1,921 views
With the matrix
A = (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 answer
344 views
For each of the following linear transformations, write down its matrix and describe the transformation
a) g(x,y)=(4x,6y) b)
1 answer
525 views
dy/dt = -t^3y^2-ty^2
dx/dt=(sin t)/(cos t+10) dy/dx -3y/x =x^3cosx Which differential method should be used for each equation?
1 answer
437 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 answer
272 views
A particle of mass 40
40kg moves in a straight line such that the force (in newtons) acting on it at time,t (in seconds) is given
2 answers
565 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 answer
395 views
How many positive integers less than 1000 are there which contain at least one 4 or at least one 9 (or both)?
2 answers
585 views
In the local boating pond there are 11 plain wooden boats, each with a different number. The owner decides that some of these
2 answers
688 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 answer
441 views
In a study, info about 224 amphora was gathered. The locations where the amphora were found were recorded as, north, south or
1 answer
409 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 answer
432 views
Let f and g be the functions defined by
f : R^2 −→ R^2 (x, y) −→ (−y, −x) and g : R^2 −→ R^2 (x, y)
2 answers
564 views
Determine the vector equation of the line l in R^3 through the points P
and Q with position vectors p = (2, −1, 6) and q = (1,
2 answers
579 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
4 answers
1,470 views
Use Euclid’s algorithm and backwards substitution to determine the
multiplicative inverse of 27 in Z40 . I've worked out; 40 =
2 answers
577 views