61. Find the lines that are tangent and normal to the curve y = 2 tan( 7x/4) at x = 1. . %3D TTX

Q: 4. Determine the equation of the tangent line at the indicated point a) y = cos x at x = 7 b) y =…

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Q: Find the tangent line to the curve y = 2 tan (πx/4) at x = 1.

A: We first find y' at x=1 using chain rule

Q: 134 Find the slope of the tangent line to the graph at the given point. Cissoid: 4y2 – xy2 = x³ %3D…

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Q: 3n If the normal to the curve y = f(x) at the point (3,4) makes an angle with the positive x-axis, 4…

A: (a) Normal to the curve y=fx at the point 3,4 makes an angle 3π4 with the positive x-axis then we…

Q: If y = Vx2 + ell-x²), the slope of the tangent line to the graph of y at x = 0 is Answer:

A: Slope of tangent = y'

Q: What is the slope of the tangent line to the curve given by x=sin(y) at the point (0, 37)? O-1 O 1 O…

A: Given x= sin (y). Slope of tangent line is  = dx/dy Differentiation of sine is cos .

Q: 2. Determine the slope of the tangent line to the curve f (x) = sin (x)cos (x) at the point where x…

A: For any given function f, the slope of the tangent line m is given its derivative. Differentiate the…

Q: ) Find an CIuation of the line tangent to the graph of Gec)=6e3X x tal dou2 o the Point (0,6). at

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Q: Find the slope of the tangent to the curve at the point specified. x + 2xy + y? = 25 at (1, 4) %3D

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Q: Find the slope of the tangent line for the curve r = 8 – 6 cos 0 when 0 4

A: Consider the provided curve, r=8-6cosθ where θ=π4. Find the slope of the curve. First we converting…

Q: 4. A. Use the tangent line to find a linear approximation to the function f (x) = Vx near x = 64.…

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Q: Find the slope of the line tangent to the graph of f(x)= tan(x) at x=pi/6

A: Given function - f(x) = tanx           .............(1)Let the equation of the tangent line be - y =…

Q: Determine the slope of the tangent line of the curve y = x+4 at x = 7. O 14 O 28 O 21 0 7

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: What is the slope of the tangent line to the curve y equals x to the power of x at x equals 2.91

A: We will use standard method to find this.

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: What is the slope of the tangent line to the graph of y = cot-' /2x + Iat the polnt where r = 0?…

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Q: 57 Find an equation of the tangent line to y = 3 tan(x) at x =

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Q: If y =4 tanh x + sinh 2x, what is the slope of the curve when x = 2? Assume h = 0.5 and 0.01;…

A: The solution is given below

Q: [x € [0,x] T: sinx + cos (2y) = 1, y E 4: 4

A: Given equation of graph is sinx+cos2y=1 The slope of a graph at a point is given by the derivative…

Q: What is the slope of the tangent line to the graph of y = cot-1 V2x +Iat the polnt where z = 0?

A: Slope of the tangent is the derivative of y at x=0

Q: Find an eqaution of the tangent line to the curve at the given point. y = √x, (1,1)

A: We have to find the equation of tangent line to the curve: y=x at the point 1, 1 We know equation of…

Q: 3. y = ( lat x 1

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Q: What is the slope of the TANGENT LINE to the given curve 1 y = x + at point where x.= -2

A: Slope of tangent is    m=dydxdydx=1-1x2

Q: 13 Find all points on the curve y=x + x° where the tangent line is horizontal.

A: the tangent line is horizontal at the point dy/dx=0

Q: 2) Find the tangent to the curve y 2 tan at x 1.

A: A detailed solution is given below.

Q: 1. Write the equation for both the tangent line and normal line to the curve y = 3x² – x +1 at the…

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

Q: What is the slope of the tangent line to cos(æ – y) = xe" at the point (0, ). O 1 -2 O None of these…

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Q: 2. Find the slope of the tangent line to the curve x? + y? = 1 at the point ) %3D

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Q: 6. The slope of the line normal to the graph of y = 2 In(sec x) at x = is %3D

A: We need to find slope of normal line.

Q: 46. Show that the sum of the x- and y-intercepts of any tangent line to the curve Vx + Jy = \c is…

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Q: II FIND THE EQUATION OF THE TANGENT LINE AND NORMAL LINE TO THE FF. CURVES AT THE INDICATED POINT.

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Q: Find the tangent line to y = tan x + 9 cos x at x = n.

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Q: What is the slope of the tangent line to the curve y=x* at x=2.9 (use 3 decimal places, no space)

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Q: What is the slope of a line normal to the curve y=tan(x)/(1+tan(x)) at x=pi/4?

A: Given the equation of the curve y=tanx1+tanx To find the slope of the normal line to the given curve…

Q: 1. If Y= 4 cos x + sin 2x, what is the slope of the curve when x=2.

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Q: Find the slope of the tangent line to the unit circle at the point where /6 * cost and y sint (0SIS…

A: Given , a unit circle  We need to calculate the slope of a tangent line when t=π6 Calculating…

Q: 89. Find the equation of tangent and normal to the graph of y = at x = 2.

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Q: 2. Write the equation for both the tangent line and normal line to the curve y = (x – 1)/( + 1) at…

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Q: (14 Find the eguation of the tangent line for y = when x=1. x² +3

A: Given,            y=12x3+3 , x=1To find : The equation of the tangent line.We know that,…

Q: The x value(s) of the point(s) where the tangent line(s) to the curve y = ³ - 6x that have a slope…

A: Here we have to find the value of x.

Q: Find the slope of tangent to the curve y=sin 4x +3x at (5, 35). None O 7 O 3

A: Note :- Steps to find slope :- 1) Find the first derivative of f(x). 2) Plug x value of the…

Q: Find the slope of the tangent to the curve y-x cos 3x at *- O al o Ob) 1 Od) 3

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Q: x+2 3. y = ( X-2 at x = 1

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Q: Find the smallest positive value for 0 for which the tangent line to the curve r = 4e".00 is…

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Q: 4. Find the slope of the tangent line to r = cos 0 at 0 = 3 %3D

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Q: IL FIND THE EQUATION OF THE TANGENT LINE AND NORMAL LINE TO THE FF. CURVES AT TH INDICATED POINT.

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Q: What is the slope of the tangent line to the graph of y = at x =1 %3D x+1

A: Given expression of the curve, y=e-xx+1

Q: Find the values of x between 0 and 2π where the tangent line to the graph of y = sin x cos x is…

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Q: 5 7. Find the slope of the tangent line to the graph of y = x² at the point where x = –

A: