For the curve y = ax3 + bx2 + 12x - 7, what values of a and b will make the tangents to the curve at x = 2 and x = 3 horizontal? @ --- 15 b= - - 2 a=-, 2 В b= - 5 a=-, 3 3 b=- 2 a = - - 2 a = - -, b=-1 3

Q: What is the horizontal of line through the point (4,-6)?

A: Solution: In the XY coordinate system, the point notation is always written as (x,y) And, x…

Q: Identify an equation in point-slope form for the line perpendicular to --x-6 that passes through…

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Q: Parallel to y + 8x = 4, through (3, 4); slop- intercept form

A: The line is parallel to y+8x=4, passes through 3, 4

Q: 33. y 6. Line q intersects the parallel lines p and l. What is 3 A. 3 В. х C. D. 3

A: We have to find the value

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A: Solution:      Equation of any parallel line to y = 2x is      y = 2x + c where c is constant.

Q: Give the slope-intercept form of a line perpendicular to y=2/3x+1 passing through (-2,3)

A: Given equation of line: y = 23x+1and Point (-2, 3)

Q: Find an equation of the line tangent to the graph of y = at the point (4, 6/2). Answer: y = 이별

A:

Q: Write an equation for the line through the point (-1, 2) that is (a) parallel, and (b) perpendicular…

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Q: Find the equation for the horizontal line passing through the point (15, 9)

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A: The equation of line in standard form is ax+by=k where k is a constant. Since the equation of the…

Q: Find equation of two different lines l2 and l3 through the point (6, -4) that are perpendicular to…

A: According to the Question , l2is prependicular to l1 (2x-3y=5) Now, 2x-3y=5⇒3y=2x-5⇒y=23x-53 ⇒Slope…

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Q: From the point (0, –5), tangent lines are drawn to the circle (x – 7)2 + y = 4. Find the slope of…

A: Equation of line passing through point (x1,y1) and slope m  (y-y1) = m (x-x1)

Q: Find the distance between the points (3, 8) and (-1, 11) and the slope of the line containing them.

A: We need to find the distance between (3, 8) and (-1, 11). Compute the distance between x1, y1, x2,…