III. Find the equations of the tangent and normal to each at a given point. Show the graph. You may use GeoGebra App. 1. y = x³ - 3x² + 4x-12, (2, -8) 2. 4x² + y² + 8x + 2y = 20, (-3, 2) IV. Identify the critical points and find the maximum value and minimum value of the equation y = x² - 6x² + 12x.

Q: Find the equation of the line tangent to the graph of 2x³9x² + 2x 6 at x = 1. y = NOTE: Enter a…

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Q: Match the portion of the graph with the corresponding equation that represents the number of…

A: We know that the general equation of the straight liney = mx + bwhere m = slopeb = constant

Q: 7. (1 point) Find equations for two lines through the origin that are tangent to the ellipse 212 –…

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Q: Find an equation for the set of points equidistant from the point (0, 0, 2) and the x-axis.

A: To determine the equation for the set of the points.

Q: Find the equation of the curve that joins the following points. Hint: Use common differences. (a)…

A: As per company guidelines we are allowed to solve one question at a time so i am solving first one…

Q: type in y = 1x + 1 on a graph. Where does this line cross the y-axis?

A: Given query is to find the y intercept.

Q: b. Explain whether the point (5,1) can be drawn a tangent to the graph of this equation.

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Q: Find the slope of equation at the given point

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Q: Plot the points (1, –2) and (-2, 2) on a set of axes like the one below, and draw the straight line…

A: Given points  (1,-2)  and (-2,2) Plot the two points on the graph and join the points by a line

Q: Write equation of line that is perpendicular to x+5y=20 and passes through (3,19). Write in…

A: As we know that, The slope-intercept form of equation of the line is: y=mx+b Where m is the slope of…

Q: y = (x-5)(x+1)

A: Given equation of curve y=x3(x-5)(x+1)                   (1) We have to trace the curve of above…

Q: reflect the point (2, -4) over the y-axis

A: If we reflect a point over the y-axis then the formula is: (x, y)→(-x, y) Here x=2 and y=-4