Q4\ Find an equation for the tangent line drawn to the circle (x- 3)2 + (y + 3)2 = 50 at the point P (10, -4). %3D OSL The Figuna (1) 2 Weita Gameti ofu

Q: Use the graph to estimate the slope of the tangent line to y = x" at the given point. Verify your…

A: We have to tell the slope of the tangents through the graphs. So, for that, we will differentiate…

Q: Find the points on the curve  y = x3 + 3x2 − 9x + 2 where the tangent is horizontal.   smaller…

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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: Find the equation of the line tangent to y = 2sin x at x = p>2. Graph the function and the…

A: Given: Function y = 2sinx To Find: The equation of the tangent line at x = p  Concept Used: The…

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

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

Q: Find the points on the curve  y = 2x3 + 3x2 − 12x + 5  where the tangent line is horizontal. (x,…

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Q: Find slope of the tangent line to the elipse x^2/36 + y^2/16=1 at the point (x,y) slope=

A: Given ellipse equation is x236+y216=1 find the slope of the tangent line at the point (x,y)

Q: Find an equation of the tangent line to the curve: 4x^2 - 24xe^y + y = 13 @ the point (-1/2, 0).

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Q: 25. Find equations of all lines having slope −1 that are tangent to the curve y 1/(x − 1). = 1/4…

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Q: Find the tangent line to y = x -x+7 at x = 7. ,2 The tangent line to y = Vx -x + 7 at x = 7 is y =

A: We have to find tangent line

Q: # 3 Find the slope of the tangent line to the curve -3x²-3xy + ly = 33 at the point (- 2, 3).…

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Q: 9. Find the equation of tangent and normal for the curve xsin2y = ycos2x at 4'2

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Q: 3. What is the equation of the tangent line to the curve x3 + x² = y which is parallel to the line…

A: Given the equation of the curve y=x3+x2 and the tangent line is parallel to 3y+x-5=0

Q: Find the equation of the tangent line to the curve y = (5 In(x))/x at the points (1, 0) and (e,…

A: Formula of equation of tangent is y-y1 = m(x-x1)

Q: Find the equation of the tangent line in the given place. complete solution 1.) Tangent to the…

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Q: Find equations of the tangent line and normal line to the curve y = 5x-32T at = 4. %3D

A: This question is based on straight line.

Q: Find the points on the curve y= x 4-6 x2 +4  where the tangent line is horizontal.

A: Find the points on the curve y=4x-6x2+4  where the tangent line is horizontal.

Q: Find the points on the curve  y = 2x3 + 3x2 − 12x + 5  where the tangent line is horizontal. (x,…

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Q: what points on the given curve  x = 2t3, y = 5 + 50t − 10t2  does the tangent line have slope 1?…

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Q: 2. Find the equation of tangent and normal for the curve xsin2y = ycos2x at

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Q: Find the point where the tangent to the curve y = x +6x + 9x + 7 is parallel to the x-axis. 37.…

A: topic - point at which tangent line is parallel to curve. note : As per bartleby guidelines, we are…

Q: Find the points on the curve y = 2x3 + 3x2 – 12x + 8 where the tangent line is horizontal. (х, у)…

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Q: 45. Find all points on the curve z'y +ry% 2 where the slope of the tangent line is -1.

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Q: Find an equation of the tangent line to the curve 2(az² + y³)² = 25(x² – y}) - (a lemniscate) at the…

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Q: y = xv16 + x², (0,0)

A: Topic:- application of derivatives

Q: A point of inflection on a curve is a point where y" is positive on one side and negative on the…

A: A point of inflexion is a point at which  y'' changes its sign. It is positive on one side and…

Q: 2. Find the coordinates of the points on the curve y = r' - x² – x +1 where the tangent line is…

A: Solution:- step-by-step solution of above  question is given below.. The given curve is  y=x3-x2-x+1…

Q: What is the slope of the tangent line to the graph of y= x*-3x2 + x +2 at x-17 [a) What is the…

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Q: find the x-coordinates of the point on the curve y=2x^3-3x^2-36x-1 where the tangent is horizontal.…

A: For finding tangent is horizontal take slope 0

Q: Find the slope of the curve x^3=(y-x^2)^2 at (1,2). If q-p=Inq+Inp, find dq/dp.

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Q: (5) Find all the points on the curve y = 1/x where the tangent line is perpendicular to the line y =…

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Q: The equation of the tangent line to the curve: y + 5 = 2x at x = 5.

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Q: find the equation of the line tangent to the graph of y=3ln⁡(x) at x=3. Tangent Line:…

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Q: 2. Find the equation of the tangent lines and the normal lines to the curve y = 2x² +3 at the point…

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Q: At what points on the given curve x = 2t3, y = 4 + 8t - 11t2 does the tangent line have slope 1?…

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Q: 8ex 3x 2x3 has no tangent line with slope 2. Show that the curve y y' = y'? 2, so no tangent line…

A: The given curve is:

Q: Solve for the equation of the tangent line to the curve y=3x2-4 that is parallel to the line 3x+y=4…

A: The slope of two parallel lines is equal. The product of slopes of lines normal to each other is -1.…

Q: 2. What is the slope of the line tangent to the curve 8x3-y²=4 at the point (1,-2)? CAL normal line…

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Q: 9. Find the equation of tangent and normal for the curve xsin2y = ycos2x at A

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Q: 45. Find all points z'y+ ry = 2 where the slope of the tangent line is -1. on the curve Answer +

A: Solution:-

Q: 13. BONUS: Find the coordinates of all points on the graph of y=1-x at which the tangent line passes…

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Q: Find the slope of the tangent line to the curve defined by 9a – 8zy – y* = -18 at the point (-1,…

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Q: At which point on the curve y = 1 + 2e^x -3x is the tangent line parallel to the line 3x - y = 5…

A: The given curve is y = 1+2e^x-3x.In order to compute the slope of the tangent line of the curve,…

Q: Find an equation for the tangent line to the curve + xy - y = 1 at the point (2, 3). %3D

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Q: What’s the equation of the tangent line to the curve y = 5ln(x^3 - 7) at the point (2,0)

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Q: Find all​ x-coordinates of points​ (x,y) on the curve y=(x−2)4(x−5)-3 where the tangent line is…

A: Given,          y=x-24x-5-3 where the tangent line is horizontal.

Q: Find the slope of the tangent line to the curve x y-y = 10 at the point (3,2). -5/3 0 1 0 4 O 1/4

A: Given a curve x2y - y3 = 10  So here slope of tangent will be dydx  at given point 3 , 2 Now…

Q: roblem 5. Find the equation for the line tangent to the curve y√ = 3x√√y - 10 at x =

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Q: 6. Find the equation of tangent and normal for the curve xsin2y = ycos2x at

A: Given that: x.sin2y=ycos2x

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: