(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! :)
The number of crimes, C, in a particular country between 2000 and 2010 was given by the function C=11.9+ 0.1t + ln(t+1), where t is the number of years passed since 2000. Show that C...
A committee at of 5 is to be formed form a group consitstinf of 8 Democrats, 7 Republicans, and 2 Independents. Note: A committee is an unordered group. (a) How many committee choices are possible...
What is the result of isolating y^2 in the equation below? (x+6)^2 + y^2 = 1 A.) y^2 = -x^2 - 12x -35 B.) y^2 = x^2 + 12x + 37 C.) y^2 = -x^2 - 35 D...
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...
How many times does the quadratic function below intersect the x-axis? y= x^2 + 10x +25 A.) 2 B.) 3 C.) 1 D.) 0...
Need help solving.
width of the gap gets smaller. 16.8 millimeters wide at 10°C and decreases by 0.37Suppose that for some bridge the expansion gap is millimeter for every 1°C rise in temperature. 56...
The general population (Population 2) has a mean of 30 and a standard deviation of 5, and the cutoff Z score for significance in a study involving one participant is 1.96. If the raw score obtained...
A flat of plants contains 12 plants. Yoshi, wants a garden that has 3 rows with 10 plants per row.
It's math intergers
What are the factors of the expression below? -x^2 + 2x + 35 A.) -1(x-5)(x+7) B.) -1(x+5)(x-7) C.) (x-5)(x-7) D.) (x+5)(x-7) HELP ME!! PLEASE!!
don't know
I don't get it
Which of the following would be the most logical first step to solving this quadratic equation? x^2 - 4x + 16 = 2 A.) Subtract 2 from both sides. B.) Divide both sides...
Differentiate with respect to x. ln[ (x+3)3 cos3x / sin x ] Thank You ! :) Ans : 3/(x+2) -3tan3x -cotx
Differentiate the following with respect to x. cos(x+π)/sin3x Ans: [sin(x+π)sin3x +3cos(x+π)cos3x]/ sin23x Thank you! :)
Two variables x and y are related by y= ln(2+e-x) for x >0. Given that x is increasing at a rate of 3 units per second, find, in terms of e, the rate of change of y when x=1. Ans:...