A) Find in terms of x and y dx B) Write the equation for the tangent line where x = 2 and y = 1.

Q: Find the point at which the tangent line to the curve r= (1+sin e) is parallel to the Х-аxis?

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Q: b. If B(x) = /g(x), what is the equation of the tangent line drawn to B(x) when x = 1? %3D

A: b) if B(x)=g(x)we have to find the equation of tangent line drawn to B(x) when x=1   differentiate…

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

A: The objective is to find the equation of the tangent line to the curve at the given point.

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: Find all values of x where the tangent lines to y = x² and y = x³ are parallel.

A: Slope of both curves are equal

Q: H.W 2-Write the tangent line equation. (1) x+y= 4 P(JE. V2)

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

Q: 1. Find the equation of the tangent line to x? + y? = 9, at the point (2, v5). %3D

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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)=3x2-5x+7, x=2, x=4

Q: Find the equation of the tangent line of the curve y = sin r + cos a at the point A(, v2).

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Q: Find the equation of the tangent line to the curve y? = xy + 6a? at the point (1, -2).

A: Given The curve y2 = x3y+6x2 and the point (1, -2)

Q: Find the exact length of the curve. y = Vx - x2 + sin

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Q: Find the equation of the tangent line at (1, Tt) of 6x²y– ncos(y) = 71

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Q: a) Find an equation of the tangent line: x' +y' + 9xy = 27 at (x, y) = (1, 2)

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Q: Plot the astroid x = cos3 θ, y = sin3 θ and find the equation of the tangent line at θ = π/3 .

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Q: Find the equation for (a) the tangent plane and (b

A: Given, the surface                      4z-x2=0 and the point P0(4, 0, 4).

Q: verify that the given point is on the curve and findthe lines that are (a) tangent and (b) normal to…

A: We plug x=1 and y=π/2 in the given function  Since both sides are equal so (1, π/2) is on the curve…

Q: 1- Find the equation of the tangent to the 2(x2 + y?)2² = 25(x² . y?) %3D at (3,1)

A: To find the equation of the tangent

Q: Find the equation of the tangent line to x? – y + y? = 21 at the point (1,5).

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Q: Find the equation of the tangent line at (1,2) for x'+2y = 9 y- A= B(x - C)

A: point (1,2)  ; x3+2y2=9 In the given point x is 1, y is 2

Q: Find equation of the tangent an ine to the carve ad X= Xo, ' line

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Q: ind an equation of the tangent line at x = a. y = x2 + 3; a = -2

A: Given: y = x2 + 3; a = -2

Q: 1 y = x² +1 at x = 2

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Q: Given x = y1/y , find its tangent line at (1, 1)

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Q: The equation of this tangent line can be written in the form y = mæ + b where: m is: b is:

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Q: What is the equation of the line tangent to the curve e + cos(x) = 1 at the point ,0|? y=x+ y=0 TT…

A: Given that the curve is ey+cosx=1 and the point is π2,0. It is required to find the equation of…

Q: Find the equation of the line tangent to y = x sin(x) at the point where x = π.

A: Given:y = x sin(x) at the point where x = π.At x = π, y = π sin(π) = 0

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: (2) At what point(s) will the tangent line to y = x? - 4x +3 be horizontal

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Q: Find an equation of the tangent line to the curve at the given point. y = sec(x), (7/6, 2/3/3)

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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: Find an equation of the tangent line to the curve xe' +,ye = 5 at the point (0, 5).

A: Topic:- application of derivatives

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: Find the equation of the tangent line to the curve y 2x cos x at the point (п, — 2т). The equation…

A: We will find the equation of tangent line.

Q: Find the equation of the tangent line to the curve y = 2x cos x at the point (T, -27). The equation…

A: Using formula of equation of tangent.

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

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Q: Find all values of x where the tangent lines to y=x^2 and  y=x^3 are parallel. x=

A: To find the slope of the tangents we find dy/dx for both equations

Q: Find the point at which the tangent line to the curve r= (1+sin e) is parallel to the х-аxis?

A: Solution: We know that, the slope of the x-axis is 0, therefore any line parallel to x-axis must…

Q: The equation of the tangent line to the curve x? + y² = 64, at (5,-18) is

A: The given equation is x2+y2=64 Differentiate both sides w.r.t. x, 2x+2ydydx=0 dydx=-xy evaluate dydx…

Q: Find the equation of the tangent line to the curve given by y= e° sec e when 0 = .

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

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Q: Find the slope of the tangent to Ax) = x²e* at the point (1, e). a) e b) 1 c) 3e d) 2 + e

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Q: Find the equation of the line tangent to xe' + ye = 1 at the point (0, 1).

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Q: Find the point of tangency and write the equation of the tangent line at this point. B

A: The tangent to a circle is defined as a straight line that touches the circle at a single point. The…

Q: Find an equation of the tangent line to the y = sec(x) – 6 cos(x), P = 3 y =

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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: Find the equation for the slope of the tangent line to the curve below at any point (x,y). 2x + 5y =…

A: Given, 2x+5y=3y

Q: Find all values of x where tangent lines to y=x^5 and y=x^6 are parallel.

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Q: verify that the given point is on the curve and findthe lines that are (a) tangent and (b) normal to…

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