(i) Given that the line y=mx, where m is a positive integer, does not intersect the circle x2+ y2 -4mx +3=0, find the value of m. (ii) A line parallel to y=mx is a tangent parallel...
(i) Given that the line y=mx, where m is a positive integer, does not intersect the circle x2+ y2 -4mx +3=0, find the value of m. (ii) A line parallel to y=mx is a tangent parallel...
B is any point on the curve y2=2x and A is a fixed point with coordinates (2,6). Find the equation of the curve trace by the mid-point of AB. Ans: y2-6y-x+10=0 Thank...
A curve has the equation y=3e2x. Find the value of d2y/dx2 at the point where the gradient is 3. Ans:6 Thank You! :)
A curve has the equation y= (x-a)[√(x-b)] for x≥b, where a and b are constants. It intersects the x axis at the point A with x=b+1. Show that the gradient of the curve at A is 1. Thank...
Differentiate with respect to x. ln[ (x+3)3 cos3x / sin x ] Thank You ! :) Ans : 3/(x+2) -3tan3x -cotx
Find the value of q in the following system so that the solution to the system is {(x,y) : x - 3 = 4} x - 3y = 4 2x - 6y = Q Please Help I do not understand.
What is the domain & range of 1/sqrt x+4
if f(x)=x^2+3x+5 what is f(a+h) A.) ( a+h)^2 + 3(a+h) + 5(a+h) B.) a^2 + 2ah + h^2 + 3a + 3h + 5 C.)h^2 + 3a + 3h + 5 D...
The train from NY to Boston leaves every hour on the hour. Likewise, the train from Boston to NY leaves every hour on the hour. The trip takes four and a half hours each. If you were on the train...
Which of the following is a correct equation for the line passing through the point (-2,1) and having slope m=1/2 Check all that apply A. y=1/2x + 2 B...
This is a Mathematics word problem for my Maths Textbook, ' Mathematics for the International Student MYP 2 ( Grade 7 ) IB Middle Years Program Haese and Harris.
Here is a problem I have from my math class that I cannot figure out: From two towns, A and B, two cars left at the same time toward each other-one from town A, and the other from town...
A group of tourists travelled from one city to another in 3 days. On the first day they covered 60 miles plus 1/5 of the entire distance. On the second day, they covered 20 miles plus ¼ of the entire...
A triangle has two sidesof 25cm and 30cm. The angle between the two sides is 30°. Find: a) the area b) the length of it's third side c) the area using heron's formula Answers: a)...
2n2-3n2+n became 1/3-1/2n+1/6n2 6n3
2 hikers set out from the same campsite. One walks 7km in the direction of 043°T and the other walks 10km in the direction 133°T. What is the bearing of the first hiker from the second? I...
What is the domain and range of the following problem? y=(16-x^2)^(1/2)
what type of equation can be converted to Recurrence relation? examples needed..
mary read 58 pages of her book, if she has 3/4 of the book left to read, how many pages are in the book?
Ok the literary reference is possibly not part of this question. Is there a function to make x into the highest multiple of 8 the is lower than or equal to x? For instance, 13 would become...