The slope of the tangent line to the curve C at the point (1, 2) is A) 4 B c) 2 D - 4 2.

Q: The slope of the tangent line to the graph of y = In(xy) at the point (e, 1) is :Select one -e-l.a…

A: Given equation is Differentiating both sides with respect to x, we get.

Q: (a) Find all the points on the graph of (x² + y? + y)2 x² + y? that have horizontal tangent line.

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Show that an equation of the tangent line to the graph of =D2 at the point (a, b) is given by 2. b…

A: It is given that, Now take the derivative of the given function with respect to 'x'. Therefore,…

Q: Find the tangent plane to the equation 5e*- öy at the point (12, 24, 5).

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Q: Find a point in the second quadrant on the curve 3x2 + 4y? + 4xy = 24 where the tangent line is…

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Q: Show that there is a line that is simultaneously tangent to both the curves y = ex and y = lnx.

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Q: Find the length of the curve y2 = x3 from the origin to the point where the tangent makes an angle…

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Q: Find the slope of the tangent line to the curve (a lemniscate) 2 (z? + y?)° = 25(x² – y²) at the…

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Q: Find the equation of the tangent line to the curve y = IVI at the point (9, 27). %3D y = 9x(sqrt(27)

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Q: (a) What is the equation of the line that is tangent to the circle of radius 9 at (0, – 9) and whose…

A: Given:  A circle x2 + y2 = 92.  ---------------------------------------------------------…

Q: find equation for the lines that are tangent andnormal to the curve at the given point. ex + y2 = 2,…

A: Given: Equation of curve ex+y2=2 and the point 0,1, To find: Equation of tangent and normal line to…

Q: The slope of a tangent line at (1, 4) is 2. What is the equation of the line? Select the correct…

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Q: Prove that the tangent lines to the curves 5y – 2x +y³ – x²y = 0 and 2y + 5x +x* – x³y2 = 0…

A: Given: - The statement is, The tangent lines to the curves 5y-2x+y3-x2y=0and 2y+5x+x4-x3y2=0…

Q: At what point/s is tangent line to the curve given by ?(?) = ?4 − 8?2 + 3 horizontal?

A: We have to find the points where the tangent line is horizontal for the given curve fx=x4-8x2+3

Q: [10] At what point on the curve y = e*is the tangent line parallel to the line y = 2x? Give answer…

A: Given curve y=ex   and line y=2x

Q: sketch the curve ƒ(x, y) = c, together with ∇ƒand the tangent line at the given point. Then write an…

A: sketch the graph of x2-xy+y2=7

Q: Find the tangent plane to the equation 4x2 + 3y2 – y at the point (-4,-1,68) Z =

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Q: Find the lines that are tangent and normal to the curve y = tan x at the point (, 1)

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Q: Find the coordinates of the point Pin Figure, at which the tangent line passes through (5, 0).

A: Given figure is  where suppose that the coordinate of point P is P=a,b

Q: The line that goes through the point (0,0) so that the tangent of the angle it make with the x-axis…

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Q: Determine the tangent line(s), in standard form, to the curve y = (x- + 1) (x – 9) that are…

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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: 9. 15 16

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Q: Show that an equation of the tangent line to the graph of = 2 at the point (a, b) is given by a b.…

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Q: a, given that the line ax+y+1 = 0 is tangent to the grapl

A: We have to find the value of a according to the given information

Q: 6 8 10

A: if this line is tangent then in this triangle we  can use pythagorean theorem C

Q: A curve like Y = is called a serpentine. 1+2x2 3 n equation of the tangent line to this curve at the…

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Q: on of the tangent to y = 3e" + 3ex that is parallel to

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Q: Find the point (in the first quadrant) on the lemniscate 2(x2 + y²)² = 25(x² - y²) where the tangent…

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Q: Find a point on the curve y=√x, where the tangent makes an angle of 45 degrees with the positive…

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Q: What are the values of m and c if the equation of the tangent line is given by y = mx+ c?

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Q: An airplane is traveling at a speed of 130 km/hr with a bearing of 10° at a fixed altitude with…

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Q: What would the slope of the tangent line be at the point 3,3 on the folium of Descartes x^3+y^3=6xy…

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Q: At what point is the tangent line to the curve y = 2x to the line x - perpendicular – y – 8 = 0?…

A: Let the point is (a, b), so the slope of the tangent line to the given curve can be determined as,…

Q: At what point is the tangent line to the curve y° = 6x² perpendicular to the line 2x – y – 1 = 0?…

A: Given: y3=6x2..(1)2x-y-1=0y=2x-1...2   As we know that, iI two lines are perpendicular to each other…

Q: Let point E lie in the exterior of OP. How many tangent lines can be constructed to OP from point E?

A: two tangent line can be drawn to a circle from a point E outside of the circle.

Q: Determine the Cartesian equation of the tangent line to C1 at the point where θ = π/2 .

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Q: Show that the line y = mx + b is its own tangent line at any point (x0, mx0 + b).

A: Given:Show that the line y = mx + b is its own tangent line at any point (x0, mx0 + b).

Q: Find the equation of the tangent to y = 3ex + 3ex that is parallel to y = 6ex + 5.

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Q: Find the equation of the line that is tangent to this cardioid at the point (–112, 15) answer in…

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Q: Find the slope and y-intercept of the tangent line, in the form y = mx + b, to the curve at the…

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Q: The slope of the tangent line to the graph of y = In(ry) at the point (e, 1) is .2 Select one: a.-e…

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Q: Find the slope of the tangent line to the curve (a lemniscate) 2(a² + y?)' = 25 (æ² – y²) at the…

A: The given equation of the curve: 2x2+y22=25x2-y2

Q: Find the tangent plane to the equation 5e* бу at the point (12, 24, 5) Z =

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Q: The equation of the tangent line to the curve z? + y² = 49, at (9,-15) is , %3D 15 - (z – 9) + 15 15…

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