In order to find the equation of a tangent line you must take the derivative of the original equation and then find the points that it passes through.
x + 2y = 7 so x = 7 - 2ySubstitute in the equation of the circle:(7 - 2y)^2 + y^2 - 4*(7 - 2y) - 1 = 049 - 28y + 4y^2 + y^2 - 28 + 8y - 1 = 0=> 5y^2 - 20y + 20 = 0=> y^2 - 4y + 4 = 0 => y = 2and therefore x = 7 - 2y = 3Thus the straight line intersects the circle at only one point (3, 2) and therefore it must be a tangent.
Slope is the tangent of the angle between a given straight line and the x-axis of a system of Cartesian coordinates
Points: (7, 3) (14, 6) (21, 9) Slope: 3/7 Equation: 7y=3x
480 volts is probably 3-phase (Line to line) voltage, so: 1500K / (480 x 1.732) = I = 1804Amps
In order to find the equation of a tangent line you must take the derivative of the original equation and then find the points that it passes through.
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That line is [ y = 2 cos(2x) ].
find the derivative to get the slope, then using the graph of the other line given to you, find a point on the graph that they share and plug it in to find the y-value. then use the point slope formulahttp://docs.google.com/gview?a=v&q=cache:P72siWJTFjwJ:gato-docs.its.txstate.edu/slac/Subject/Math/Calculus/Findting-the-Equation-of-a-Tangent-Line/Finding%2520the%2520Equation%2520of%2520a%2520Tangent%2520Line.pdf+how+to+find+the+equation+of+a+tangent+line&hl=en&gl=us&sig=AFQjCNFcYzt1d-PU9hE2gbQKngp4FeRw3Q
(a) y = -3x + 1
Calculate the derivative of the function.Use the derivative to calculate the slope at the specified point.Calculate the y-coordinate for the point.Use the formula for a line that has a specified slope and passes through a specified point.
Yes, the derivative of an equation is the slope of a line tangent to the graph.
y = 2(x) - (pi/3) + (sqrt(3)/2)
Given y=LN(x2). To find the equation of a tangent line to a point on a graph, we must figure out what the slope is at that exact point. We must take the derivitave with respect to x to come up with a function that will give the slope of the tangent line at any point on the graph. Any text book will tell you that the derivative with respect to X of LN(U) is the quantity U prime over U(In other words, the derivitive of U over U. U is whatever is inside the natural log). In this case, it is y = (2x/x2). To find the slope, we then plug in an x coordinate, 1. We get y=2. The slope of the tangent line at this point is 2. We now have m for the slope-intercept form y = mx + b. Now we must find b. B is the y intercept, aka where does the graph intersect the y axis. We use the slope. We know that the graph of the tangent line contains the point (0,1). We go down 2 and left one, to find that the tangent line intercepts the y axis at -1. We now have B. The equation of the tangent line of y = LN(x2) at X = 1 is y = 2X-1. Hope this helps!!!
equation 1: y = x-4 => y2 = x2-8x+16 when both sides are squared equation 2: x2+y2 = 8 Substitute equation 1 into equation 2: x2+x2-8x+16 = 8 => 2x2-8x+8 = 0 If the discriminant of the above quadratic equation is zero then this is proof that the line is tangent to the curve: The discriminant: b2-4ac = (-8)2-4*2*8 = 0 Therefore the discriminant is equal to zero thus proving that the line is tangent to the curve.
A tangent is a line that just touches a curve at a single point and its gradient equals the rate of change of the curve at that point.
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