Find the slope of the tangent line to the curve defined by 4x² + 5xy + 3yª = 98 at the point (-5, 2). The slope of the curve at the point (-5,2) is

Q: A duck's flight is given by the following expression: y = x^2 + x + 4. X and y are coordinates of…

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Q: Find the distance of the line 4x + 7y+ 5 = 0 from the point (1, 2) along the line 2x - y= 0.

A: Consider the provided question, (21) First find the intersection point of the two lines,

Q: Determine the equation of the line tangent to the curve y = 3| : 3(x+4)² y = at the point (6,75).

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Q: Determine an equation of the line tangent to the graph at the point (3,8)

A: We find f'(x) using the quotient rule. And plug x=3 in it to find f'(3)

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

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…

Q: Line Tengent to X-2 y= X + 6 at point (-4,-3)

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Q: Find the distance from the point (5,-3) to the line 7x - 4y - 28 = 0

A: As we know that; The expression for the distance from the given point Px0,y0 to the line…

Q: Find the equation of the line passing through the point 4(2, 3) and making an angle of 45° with the…

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Q: Find the coordinates of the point on the line 2x + y = 3 closest to the point (2, 2)

A: Given equation of line is  Let the point on the line be (x,y) Then, distance between points (x,y)…

Q: Find the slope of the curve y = 8x – 3x2 at point (2, 4).

A: Explanation of the answer is as follows

Q: Find the distance from the point (2, 6) to the line 2x - 5y = 0. Distance =

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Q: Determine the equation of the curve whose slope at any point is equal to and which passes through…

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