Find all points on the graph of 3x² + 4y² + 3xy = 36 where the tangent line is horizontal. y (Give your answer as a comma-separated list of points in the form (*.*). Express numbers in exact form. Use symbolic notation

Q: Determine the slope of the tangent to √1-x at the point (-8, 3).

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Q: Find an eqaution of the line tangent to the graph f(x) = 3x2 - 5x at the point (1,-2).

A: fx=3x2-5x Slope of the tangent line is the derivative of the given function at the given point. So…

Q: Find the points at which the graph of the equation has a vertical or horizontal tangent line. 81x2…

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Q: Find equations of the two tangent lines to the graph of f(x) = x² that pass through the point (-1,…

A: Given that f(x)=x2 To find two tangents that passes through (-1,-3)

Q: Please show step-by-step solution!

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Q: Find the points at which the graph of the equation has a vertical or horizontal tangent line. 64x2 +…

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Q: What is the value of the slope of the tangent line to the curve X-– 2xy - 2y=1 passing through the…

A: GIVEN CURVE : x2 - 2xy - 2y2 = 1             POINT : ( -3 , -1) TO FIND : SLOPE OF THE TANGENT TO…

Q: find the slope of the tangent line f(x)=9x-2x^2 at(-3,-45)

A: Slope of the tangent line is the derivative of the given curve at the given point. So…

Q: Find an equation of the tangent line to the graph of the function at the given point.

A: the given function is y=2-x. so to find the tangent at a specified point given (-1 , 2 ). it is…

Q: Find the equation of the tangent line at (3, f (3)) when f (3) = 20 and f' (3) = 4. (Use symbolic…

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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: Write the equation of the tangent line to the graph of y = x2 at the point where x = 2.5.

A: To find the tangent line to a function at a given point first find the first derivative of the…

Q: The line y = -4x + 16 is tangent to the graph of 100 y : x + 6 at the point help (points)

A: Given the equation of a tangent line:

Q: Find the slope of the tangent line that passes through point (1, 2) to the graph 8y³ + x²y O-2/97…

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Q: The slope of the tangent line to the curve at (x,y) point is defined by 3log3 (1- ) (k +1). If the…

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Q: Find an eqaution of the tangent line to the curve at the given point. y = 4x - 3x2, (2,-4)

A: The given function is y=4x-3x2 and the point is 2,-4

Q: ction defined by f(x) = x2 – 3x + 4 at (-1, 2). Write

A: we have to find the slope of the line tangent to the graph of the function defined by  f(x) = x2 –…

Q: Explain how to write an equation of the tangent line to the graph of f(x) = x2 at (2, 4).

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Q: Describe the tangent line at an arbitrary point on the graph of y = 2x + 8

A: we have to describe the tangent line at an arbitrary point on the graph of y=2x+8

Q: Find an equation of the tangent line to the graph of the equation 6x - 5x8y7 = 36e6y at the point…

A: In this question, we will compute the equation of the tangent line of the given curve.

Q: The slope of the tangent line to the graph of the function y = 9/ – 2 at (4, 16) is - -5.00 2.25…

A: To find the slope of the tangent line for the given function at (4,16)

Q: Find the slope of the tangent line to the curve y = 5x at the point (-4, 22).

A: Given curve is y=5x2 and the point (-4,22) find the slope of the tangent line Here we use the…

Q: Locate the point where the slope of tangent line to y=In 2x2 IS-1- O (-1, In 2) O (-2, In 8) 3 In 4…

A: Given; y= ln 2x2.

Q: Find the slope of the tangent line at (8, -8).

A: Given- Point 8,-8. To Find- The slope of the tangent line at the given point. Identity Used- tanθ=yx

Q: Find a positive number 0 such that the tangent of 0 degrees is less than -90000. 49

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Q: Find the slope m of the line tangent to the graph of the function f(x) = 5 - 6x at point (-1, 11)

A: Given:  f(x)=5-6x                y=5-6xDidderentating y=5-6x   with respect to 'x'  and substituting…

Q: Find an equation of a line that is tangent to the graphof f(x)= x3 -3 and Perpendicular to the line…

A: If two lines are perpendicular then product of their slope is -1. m1.m2= -1 Equation of a tangent…

Q: Use Intermediate Value Theorem to show that the equation

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Q: Find the equation of a tangent line to the graph of f(x) = x² – 2X at (-2,8). TYPE IN THE EQUATION…

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Q: Find an equation for the tangent line to the curve n = 4- 2 at (-1,3).

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Q: The slope of the tangent line to the graph of the function y = 8Vx – 2 at (4, 14) is 2.00 3.50 -3.50…

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Q: Give an equation for the tangent line to = 1 at the y2+1 point (5,2) and sketch it on the graph. -5-…

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Q: Find the slope of the tangent line to the graph at the given point. 4xcosy +1 = 5 at the point (2,)

A: Solve, as follows: 4xcosy+1=541cosy+x-sinydydx=0dydx=cosyxsiny

Q: Write the equation of the tangent line to the graph ofy = (7x2 − 6x + 2)(1 + 2x)atx = 1.

A: we have to find tangent line to f(x) at x=1first we will compute tangent point at x=1

Q: Find the equation of the tangent line to the graph of the function f(x)=x+5/x-4 at point (0,-5/4)…

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Q: Find an equation of the tangent line to the graph of the function f(x) = x2 + 3x +5 at point (-4,…

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Q: alculate the length of the tangent line, normal line, sub-tangent and subnormal from: a. x²+ 2² - 4x…

A: This is a problem related to derivative. Based on the general formula and concept we will answer the…

Q: Find the equation of the tangent line at (3, f(3)) when f(3) 17 and f' (3) = 4. (Use symbolic…

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Q: Find the slope of a line that is tanget to f(x)= sqrt(x+1) at the point (8,3).

A: Given: The slope of the line at point (8,3) is given by

Q: Write down the slope, of tangents of circle x +y2 =25 parallel to order 3x- 54 +8=0

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Q: Express the length l of a chord of a circle of radius 8 as a function of its distance x from the…

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Q: How many tangent lines to the curve pass through the point (1, -3)?

A: We know that slope of the tangent at any point on the curve is equal to the value of the first…

Q: Find the function whose tangent line slope is 3 and whose graph passes through (1,-1)

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Q: Find the slope and an equation of the tangent line to the graph of the function f at the specified…

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Q: Determine the slope of the tangent line to the graph of ƒ (x) =- at the point(4, -4).

A: Use differentiation for finding the slope.

Q: find the slope of the line tangent tothe graph of ƒ(x) = -5x + 1 at the point (1, -4).

A: We have to find slope of tangent line to the graph of fx=-5x+1 at the point 1, -4. We know that…

Q: Find the slope. g the tangent Line to FCQ)= X²-3x+1 When =3

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Q: FIND THE SLOPE OF THE TANGENT LINE TO THE GRAPH OF THE FUNCTION f(x) = 5- x2 AT (3,–4). %3D

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Q: Determine the area of the triangle formed by the tangent to the graph of the function y=3-x2 drawn…

A: Given,            y = 3 - x2 , and the point 1, 2

Q: Determine the equation of the line tangent to the graph of y 5 when x = 9. 2+ Va

A: Given Data The equation is y=52+x. The value of x is x9=9.   Differentiate the equation y=52+x with…