At the two points where the curve x2 - xy + y2 = 36 crosses the x-axis, the tangents to the curve are parallel. What is the common slope of these tangents? 1 -1 -2 O 2

Q: At what points on the graph of ƒ(x) = x3 + 12x2 + 55x + 14 is the slope of the tangent line 7?

A: We have given function fx=x3+12x2+55x+14 Slope of function at any point given by derivative of…

Q: [3] If the curve is defined by y = x* – 8x3 + 22x2-24x+9, then what are the value/s of x for which…

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Q: The slope of the tangent line to the graph of the function y = 7V-3 at (9, 18) is

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Q: Find the points on the graph of y = x2 + 3x − 7 at which the slope of the tangent line is equal to…

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Q: At what points does the equation of the line tangent to the curve y=1/x have a slope equal to −1?

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Q: Find an equation of the tangent line to the curve at the given point. y = x* + 9x? - x, (1, 9) %3=

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Q: For what value of x does the tangent line to the curve y=7+3e^x−6x  is parallel to the line 8x−8y=9?

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Q: For what point on the curve of y=5x^2+9x is the slope of a tangent line equal to -21?

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Q: Find the slope of the line tangent to the graph of x^2+2xy^2+3y=31 at the point(2,-3)

A: The slope of the tangent line can be calculated by using the derivative of the function at the point…

Q: What is the slope of the tangent line of y = 3x- 2x2 + 2x -5 at x = 0? A. 2 B. -5 C. D.

A: Given equation of the curve is y=3x3-2x2+2x-5   x=0 find slope of the tangent

Q: A coordinate of the point on the curve of y=2x3−3x−6, where the tangent at the point is…

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Q: 1. Find the equation of the lines tangent and normal to the curve 3x?y2=4x2-4xy. at the point…

A: Since you have asked  multiple questions in single request  so we  will be answering only first…

Q: Find the slope-intercept equation of the tangent line to the graph of f(x)=√xat (4, 2).

A: fx=x    at 4,2 slope intercept equation:y=mx+cNow we find slope…

Q: Find the slope m of the tangent line to the graph of the function at the given point and determine…

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Q: 4. At what point on the graph of y = ÷x² is the tangent line parallel to the line 2x – 4y = 3? A.…

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Q: 2. At what point is -3 the slope of the tangent line to the curve y x+3x -7.

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Q: 3. Find the slope of the graph tangent to the curve y =x* - 2x3 +x that passes through the point (2,…

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Q: Find the slope of the tangent line to the curve - 4x – 3ry + 4y° = = 14 at the point (- 3, 2).

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Q: At what points on the graph of ƒ(x) = x3 + 6x2 + 17x + 15 is the slope of the tangent line 5?

A: Given: fx=x3+6x2+17x+15 To Find: The points at which the slope of the tangent line is 5.

Q: The equation of the tangent line to the curve 교+f -25, at (8,-12) is

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Q: Find the slope of a line tangent to the curve of the given equation at the given point. y = x2 - 3;…

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Q: By definition find the equation of the tangent line to the graph of y = (0, -2) at the point X-6

A: in this question, first we will find the slope of the line at given point and then find the equation…

Q: Find the equation of the tangent line to the graph of 3x- xy + y - 9 = 0 at the point (2, -3).

A: The graph of 3x3-x2y+y3-9=0 at the point 2,-3

Q: 7. Find the slope of the tangent line of the graph of 2ry+ y? = 3.x² – 4 at the point (-1, 1).

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Q: Find the two points where the curve x2 + xy + y2 = 7 crosses the x-axis, and show that the tangents…

A: To determine the x-intercept of the curve and slope of the tangent at the intercept.

Q: Show that the tangent line to the curve y = x3 at any point (a, a3) meets the curve again at a point…

A: Proof: The given curve is y=x3. Obtain the derivative of the function as follows: dydx=ddxx3…

Q: 4. Find the equation of the curve for which y""= 2x³. The slope of the inflectional tangent at (-1,…

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Q: Find the exact value of the slope of the tangent line to the graph of −2x2−3xy+3y3=13at the point…

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Q: Find an equation of the curve whose tangent line has a slope ofƒ′(x) = x2/3,given that the point (1,…

A: Given: f'x=dydx=x23 For finding equation of curve, we will use variable separable method So,…

Q: What is the slope of the tangent line that touches the graph of In y + e2a-1 = 3y – 4x at the point…

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Q: B. Find the slope and the equation of the tangent line to the curve 1. y = 4 - 3x at (- 1, 1) 2. y =…

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Q: at the indicated point, find the slope of the tangent to the curve c(x) = 3x^2 - 5 at (3, 22)

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Q: The slope of the tangent line to a curve is given by f'(x) = 2x +9x-8. If the point (0,6) is on the…

A: Explanation of the answer is as follows

Q: 7. Find the slope of the tangent line to the graph at (1,1): x2y? - 9x2-4y2 = 0 x-9-4-0 (-4, 2/3)…

A: x2y2−9x2−4y2=0 Use implicit differentiation to find the slope of x2y2−9x2−4y2=0 Implicit…

Q: At what values of x on the curve y= 2x³+13x²+5x+9 does its tangent lines pass through the origin? In…

A: Given equation of curve: y=2x3+13x2+5x+9……1

Q: For what point on the curve of y = 9x - 2x is the slope of a tangent line equal to - 38? The point…

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Q: Find the equations of the tangent lines to the graph of x2(x2 +y?) = y2 when x =

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Q: For what point on the curve of y = 5x + 6x is the slope of a tangent line equal to - 44? %3! The…

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Q: For what point on the curve of y = 7x + 4x is the slope of a tangent line equal to - 66? The point…

A: y = 7x2  +  4x     ..........................................(1) slope of tangent line = -66 slope…

Q: If f(x)=x²+ax+b and the slope of tangent at x= -1 is 4 and the curve passes the point (2,4) Find…

A: I have stated the used formula in the solution

Q: At what point on the graph of f ( x ) = 2x 3 - 3x 2 - 8x is the slope of the tangent line equal to…

A: The function is f(x)=2x3-3x2-8x and the slope of the tangent line is given as 4. By definition, the…

Q: Find the slope of the tangent line to the graph at the given point. (x² + 4)y = 8, (-2, 1) Witch of…

A: Please see the answer below.

Q: What is the slope of the tangent line to the graph of y = x3 – 4x + 2 at point (2, 2)? %3D А. 1 В. 4…

A: Given function, y=x3-4x+2Diferentiate w.r.t.…

Q: 1. Find the equation of the tangent line to the graph f(x) = 2x² + 5 at P(-1,7) 2. Find the equation…

A: The solution to given questions is explained below.

Q: Find all the points of the graph of y = (x - 2)2 at which the tangent line is perpendicular to the…

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Q: At what point (s) is the tangent line to the curve y²=2x³ perpendicular to the line 4x-3y+1=0

A: Given y2=2x3⇒ y=2x3

Q: If f(x) = 2x2 - ax - a, b, c ER, then a +b – c=? 4 and the equation of the tangent line to the curve…

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Q: 4. If the slope of the tangent line to the curve at the point (-1, 2) is 4, find a. " y = ax? +3 O…

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Q: find an equation for the line tangent to given curve at the given value of x. y=x-x2 ;x=-2

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