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K Line Curve Track Popular Q&A
Q: Why are there curving lines on maps for tracking space flights?
A: This is because we are trying to project a 3-dimensional orbit onto a 2-dimensional surface. All satellites and other space crafts do not orbit the Earth in the... Read More »
Q: What is k when the line is tangent to curve?
A: Take the derivative of y=x^3 first: y'=3x^2 Now you are given that the slope of the line tangent to the curve is 3, so: y'=3=3x^2 Which implies x=+/- 1 Thus: 3(... Read More »
Q: How do you find the values of k when the straight line y equals k...
A: By implication : x. 2.8x+7 = kx-2. Form a quadratic equation: x. 2.8x-kx+9 = 0. For a line to be a tangent to the curve it must have two equal roots and the dis... Read More »
Q: If the line is tangent in the 1st quadrant to the curve y=x^3+k, ...
A: yes, you re in the right track. if line 3x-4y=0 is tangent to the curve y=x³+k. 3x=4y, or y= 3/4 x. y' = 3x²=slope=3/4. x²=3/12=1/4. x=±√(1/4) ±1/2. x=1/2, y= 3... Read More »
Q: The curve c given by y = k(x^2 + 3), where k is a constant inters...
A: The curve C given by y = k(x^2 + 3) where k is a constant intersects the line L given by y = 2x+2. At the point of contact the y-coordinate is equal. This gives... Read More »