Determine the value of the constant real number k so that the tangent lines to the curves 16x - 5y = 0 and 15x + ky = 16k + 375 at the point (5,4) (on both curves) are perpendicular. ..... k= (Simplify your answer.)

Q: The slope of the tangent line to the graph of the function y = 2/x – 6 at (36, 6) is 6 -0.50 0.17…

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Q: 59. Find an equation for the tangent line to the graph of y = xV2x + 3 at the point (3, 9).

A: Given that the function is y = x2x+3 To find the equation of tangent line at point (3,9). To find…

Q: 1. Determine the points where the slope of the tangent to the curve: a. f(x) = 1- 3x² is equal to 5…

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Q: Find a number a such that the tangent line to the graph v= 3x at x = a is parallel to the tangent…

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Q: Find (a) the equation of the secant line through the points where x has the given values, and (b)…

A: Given: f(x)=2x-1 x=5 and x=10. (a) Determine the value of f(x)=2x-1 at x=5. f(x)=25-1=24=4…

Q: 2. Find the equation of the tangent line to the graph of the function at the indicated point. (a)…

A: Explanation of the answer is as follows

Q: 5. Find the equation of the tangent line to the graph of the function f(r) = 5- z at the point where…

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Q: The product of all the values of x for which the tangent lines to the graph of y= are parallel to…

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Q: Find the coordinates of the point on the graph of y = x^2− x + 3 at which the tangent is parallel to…

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Q: 2. The slope of the tangent line to a curve at any point (x, y) on the curve is. What is the…

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Q: a) Determine the equation of the tangent plane of the graph of the function f(x, y) = 3x²y - 2y³ In…

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Q: Find all points (x,y) on the graph of y = X-4 with tangent lines perpendicular to the line y = 4x-…

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Q: The equation of the tangent line for the function f( O y = -7 O y = -7(x – 4)+35 %3D O y = -7(x+ 4)…

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Q: 3. Find the slope m of the tangent lines to the parabola y = -x+ 5x+ 6t its point of intersection…

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Q: Find the equation of the tangent line to the graph of the function f (x) = v 4,4 + 12 at the point…

A: Consider the equation

Q: Find equations for the tangent lines to the graph at the given points 3xy + x2 = 4, (1, 1) and (4,…

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Q: 1. Consider the function f (x) = 2(3x³ – 2x²)5. %3D a. Differentiate the function. b. Find the slope…

A: 1) Given: the function fx=23x3-2x25.

Q: 3 Find the equation of the tangent line to f- at the point P (-3, 1) for f(x) = :-1 %3D 1- 2x…

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Q: 22. Find an equation of the tangent line to the graph of f(x) = 4 - x² at (a) (-1,3); (b) (0, 4);…

A: Given: f(x)=4-x2 To Find: the equation of the tangent line to the graph at a) (-1, 3) b) (0, 4)…

Q: Find all points (x,y) on the graph of y = X-4 with tangent lines perpendicular to the line y = 4x-3.

A: The graph of y=xx-4 with tangent line perpendicular to the line y=4x-3

Q: 5) Find all points (x, y) on the graph of y = - with tangent lines perpendicular to the (x - 4) line…

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Q: Find the points on the graph of x^2+2x+4y^2=4+y where the tangent line is horizontal

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Q: Find all values of x at which the tangent line to the curve 2x + 11 is perpendicular to the line y =…

A: Graph and tangent line

Q: 8. The line y = -4x + b is tangent to the curve f(x) = 2x² – 8x + 12. Determine the value of b. %3D

A: The equation of the tangent at a point h,k on a curve y=f(x) is given by, y-k=f'(h) (x-h)

Q: Find the equation of the tangent line to the graph of x2y2+ 2xy = 24 at the point (-3, 2).

A: givenx2y2+ 2xy = 24      and point (-3,2)diffentiate this equation for calculating slope of tangent…

Q: Find a number a so that the tangent lines to y= x° + 11x +x + 13 at x = a and at x = a+ 1 are…

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Q: a) Find the equation of the tangent plane to the graph of the curve f(x,y) = x² + y² at the point…

A: Mentioned below is the answer

Q: Find the slope of the tangents to the curve at the points (P1 and P2) where it crosses (the x-axis.…

A: The curve will cross the x-axis when it's y intercept become zero.   Slope of curve at any point is…

Q: 3. Find the equation of the curve at every point of which the tangent line has a slope of 4.x. (a) y…

A: Topic = Differential equation Correct option = d

Q: 12. Find an equation of the tangent line to the parabola y = x2 – 1 at the point (2 ,3 ).

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Q: 6. Determine the equation of the tangent to each curve at the indicated value. a) f(x)= (x2- 3)(x² +…

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Q: Find the equation of the curve which passes through (1,8) and at any point (x.y) on th curve the…

A: To find: Equation of curve which passes through (1,8) and at point (x,y) the tangent line has slope=…

Q: 4) Find a formula for the line tangent to the curve at the point (4,4).

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Q: Determine the value of the constant real number k so that the tangent lines to the curves 36x - 11y…

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Q: Find all points (x, y) on the graph of y = with tangent lines perpendicular to the line y= 4x - 3.…

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Q: VI find the tangent lines to the curve y= x-14x+17x+40 perpen dicular to the line x-7y = 4

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Q: 1. Find the slope of the given curve at the indicated point a. y = x³ – 4x? + 3, at x = 2 b. y =, at…

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Q: Find two integer values of b so that y = -x +b is an equation of a tangent line to the graph of y =…

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Q: Find the slope of the tangents to the curve at the points (P1 and P2) where it crosses the x-axis.…

A: First find points P1 and P2 and than find the derivative at that points.

Q: Find the equations of the two tangent lines to the graph of f that pass through the indicated point.…

A: Given that f(x)=8x-x2 find the equation of two tangent lines

Q: Find all points (x, y) on the graph of y = with tangent lines perpendicular to the (x- 6) line y= 6x…

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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: - Find the value of 'a' for which the tangent to the curve f(x) = (a + 2) x³ − 3ax² + 9ax − 1 never…

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

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Q: b) Let f(x) = 4x - 2x - 5. %3D Find the intersection of the tangent line at c = 2 with the x axis.…

A: Given: The function fx=4x3-2x-5, To find: The intersection point of the tangent line at c=2 with…

Q: Find the point on the curve y=x³ at which the tangent is parallel to the tangent at the point on the…

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Q: 6. Given the curve y = x/x at what point on the curve is the tangent parallel to the line 4x – y + 6…

A: We will use differentiation and slope of line to solve this.

Q: Find the value of 'a' for which the tangent to the curve ƒ(x) = (a + 2) x³ − 3ax² + 9ax − 1 never…

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