37. The graph of x²3 + yß = 2, shown in the figure, is an astroid. Find the equation of the tangent line at the point (1, 1). + y2 = 2

Q: 2 at the point ( 9, 2 is: The slope of the tangent line to the curve y The equation of this tangent…

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Q: The slope of the tangent line to the parabola 2x + 4x + 5 at the point (3, 35) is: The equation of…

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Q: Find the equation for the tangent line of the graph of y=x^4 at (2,16)

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Q: 8. Find all points on the graph of y = (x + 3)² at which the tangent line is parallel to the line…

A: The given graph is y = (x +3)2 To find the points on the graph at which tangent is parallel to the…

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: 5. Find the equation of the tangent line that passes through point (1,2) to the graph 8y3 + x²y – x…

A: Proceed as shown below...

Q: ズ Find an equation of the tangent line to the curve y= 8 arccos at the point (1, 7). 2

A: we have to find the equation of the tangent to the curve y at (1, π)

Q: 5. Find the equations of the tangent line and normal line to the parabola y = 2x² at the point…

A: Since, you have asked multiple questions , according to our guidelines we are supposed to answer…

Q: Find the slope of the tangent line to the curve cos(За — Зу) — ае -37/2 2 at the point (37/2, 27).

A:

Q: The slope of the tangent line to the parabola y = 2x + 5x + 7 at the point (- 4, 19) is: The…

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Q: What is the equation of the tangent line to the curve at the point (1, 2) The equation of the curve…

A: The given curve y3-xy2=4 at the point (1,2)

Q: Find equations for the tangent lines to the graph at the given points. 7ху + x %3D 8, (1, 1) and (8,…

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Q: The slope of the tangent line to the parabola y 2x + 3x +6 at the point (1, 11) is: The equation of…

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Q: The slope of the tangent line to the curve y = 4 at the point ( 3, 4 is: 6. The equation of this…

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Q: 2. Find the equations of both the tangent lines to the parabola y through the point (3, 16). :-

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Q: 2 at the point ( 2, 1 Find an equation of the tangent line to the graph of y = e y =

A: we have to find the equation of the tangent line to the given function. We know that slope of the…

Q: Find an equation of the tangent line to the graph of the equation x2+9xy +y2 =25 at point (0, 5)

A:

Q: Find the equation of the tangent line to the graph of x4y16=1 at the point (81,1/3) and at the…

A: We use slope point form to equation of tangent line.

Q: Find the equation of the tangent line to the curve at the given point.

A: To find the tangent at the given point on the curve, using derivatives

Q: The slope of the tangent line to the parabola y = 2x“ + 2x + 6 at the point (1, 10) is: The equation…

A: Given,            The parabola is y=2x2+2x+6 and the point is 1,10.

Q: 3. Find the equation of the tangent line to the graph of x y + 7xy = 30 at the point (-5, 2). %3|

A:

Q: 3 at the point 6, 2 The slope of the tangent line to the curve y |3| is: The equation of this…

A: Derivative y with respect to x and then substitute the given point to find the slope.

Q: 34 10- Find equation of tangent line at the point (0, T) for Cos (7x- y) %3D 4y

A: Solved below

Q: Find the equation of the tangent line to the curve y = 2 In (22 at the point (1, 2) . (Hint:…

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Q: 8. Find the slope of the tangent of the curve x² + y² = 10 at the point (1, -3).

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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: Find an equation of the tangent line to the curve x + y13 = 5 (an astroid) at the point (8, 1). 2/3

A: We find y' from the given equation using implicit differentiation  To find the slope of the…

Q: The slope of the tangent line to the curve y at the point ( 5, is: The equation of this tangent line…

A: Given curve is : y=3x To find the slope of tangent at the point 5,35 and equation of tangent in the…

Q: what is the equation of the tangent line to the graph of xsin(xy) = (√2)/2 at the point (1, pi/4)

A: iven:xsin(xy)=12

Q: 7. Find the slope of the line tangent to the curve at the point (2,1). x²y + xy² = 3x %3D

A: 7. The equation is given by x2y+xy2 = 3x                                                ......(1)…

Q: 3. (10) Find the equation of tangent line in slope-intercept form to the curve y-r'y+-3=0 that…

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Q: 5. Find the slope of the tangent line to the graph of r = 2-2 cos 0 when 0

A: Given equation of the curve - r = 2-2cosθSlope of the tangent to the curve is given by drdθ,drdθ =…

Q: 25. Find the equation of the line tangent to the curve x2 + y2 = 1 through the point (,).

A:

Q: The slope of the tangent line to the curve y 3 at the point 9, is: 3 The equation of this tangent…

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Q: 3. Find the equation of the tangent line to (x*+ y°)* +50xy = 0 at the point (2,-4).

A:

Q: 2 Write the equation of the tangent line to the graph of y =x at the point x = - 0.7.

A: Given equation is To find the equation of tangent line y=mx+b, we need to find out the slope m…

Q: 4. Find the equation for the line tangent to (persamaan garis şinggung) a. y= x2- 3 x + 5 at the…

A: The objective of the question is determine the equation of the tangent line.

Q: 1 Find an equation of the line tangent to y at point (0, -). X-3

A: Given y=1x-3 at point 0,-13 To find equation of line tangent:

Q: Find equations of the tangent lines to the curve at the given point: f(x, y) = 4x2+y? 2

A: Given:      fx,y=4x2+y2 at 32,1          4x2+y2=0            y2=-4x2 differentiating on both sides…

Q: 13) Find an equation of the tangent line to the 22 – 4 2a + 5 at the point (0, graph of y =

A:

Q: 5. Find the slope of the tangent line to the graph of r = 2-2cos e when 0 = に一2

A: We have given equation of graph r=2-2cosθ  We have to find slope of the tangent line to the graph…

Q: -1 Where on the curve Y (1+ x2)¯ does the tangent line have the greatest slope? NOTE: Enter the…

A: Given:- y = (1+x2)-1 To find:- Point where tangent line on given have greatest slope

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

A: Given: 3 x2+y22 = 100 x2 - y2  and the point (4, 2) To find: An equation of the tangent line to the…

Q: Find the equation of the tangent line to the curve y = (1 + 2x)² at the point (4, 81). ソ=

A: First find the slope of the tangent line with the help of derivative of the given curve than write…

Q: 4. Find the equation for the tangent line to the graph of y = VT at a = 2. Remember to keep every…

A:

Q: 6. Determine the equation of the line tangent to y = x+ tan r at the point (7, 7).

A: As per the company policy i can answer only first question for you, More than that leads me towards…

Q: 17. The line with equation y = 2x b where bis a constant, passes through the point (3, 6). What is…

A: When a line passes through a point then the coordinate  values of the point must satisfy the…

Q: 3 - at the point (3, 1) is: The slope of the tangent line to the curve y The equation of this…

A:

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

A: We find dy/dx at (2,4)