Differentiate with respect to # the following functions. 10. (2 – 1)/(2² + 1\. 9. (1 – z*941 – 2°),

Q: Find the slope of the tangent line to the curve r = 5 cos(0) at the point specified by 0 = 3.

A: We have to find the tangent equation.

Q: The temperature in Edmonton, over the course of a year, can be approximated using the sinusoidal…

A: The given sinusoidal function is: Tx=16.11sin0.51x-1.75+9.14   ......(1)where T is the temperature…

Q: 5. Determine the equation of the tangent line to (a) r=2 sin 0 at 0 6 (b) r=1+cos 0 at : 2

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Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

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Q: 8. Find the equation of the line tangent to the graph of y tan (sin) when z= V2/2.

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Q: 7. The velocity of an object traveling along a straight line is v(t) = cos(t) + 4t + 1 meters per…

A: Solved below

Q: Find the slope of the tangent line for the curve r = 4 – 5 cos 0 when 0 6 %3D -

A: r=4-5cosθ

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: Find the equation of the tangent to the function y = cos(2x) at the point where x = л/4.

A: equation of a tangent line

Q: 2. use implicit differentiation to find an equation of the tan- gent line to the curve r+2r'y+-50 at…

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Q: If tanh x = 12/13  find the values of the other hyperbolic functions at x

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Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

A: Corresponding to θ=0, the x and y coordinates will be,

Q: What is the equation of the line tangent to the curve ev + cos(x) = 1 at the point %3| 2 y = x + y =…

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Q: As a particle moves through the first quadrant, itsxandycoordinates are functions oftimet, and its…

A: The given relation is,  tanθ=yx. Here, x, y, and θ are functions of t. The objective is to find the…

Q: Find the slope of the tangent line to the given curve at the point corresponding to the specified…

A: Solve by converting polar form into coordinate form

Q: Find an equation of the tangent line at the given point on the curve. (a) x = 2 – 3 cos 0, y = 3+2…

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Q: Find the slope of the tangent line for the curve r = - 6 – 5 cos 0 when 0 2

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Q: What is the equation of the line tangent to the curve e" + cos(x) = 1 at the point (6,0)? A y = x -…

A: Given, The equation of the curve ey+cosx = 1 We have to find the equation of the line tangent at the…

Q: Find the derivative of the following functions: [1 mark 1 12+5 (a). f(z): [0.25 Mark] T2 - 5 (b).…

A: f(x)=x2+5x2-5differentiate…

Q: The slope of the tangent line to the graph of the function y = 8VI - 4 at (16, 28) is O 1.50 O -1.75…

A: Given function is, y=8x-4

Q: Find the equation of the line tangent to the curve y = cos(2x) at the point where 3

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Q: Find the equation of the tangent line to the graph of the function f (r) = -4 z+3 at the point (0,-)…

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Q: Find the slope of the line tangent to the curve at the given point. y = 3 cos x; x = 3 3/2 2

A: 1) Find the first derivative of f(x) 2) Plug x value of the indicated point into f'(x) to find the…

Q: Q8/ Use implicit differentiation to find of the following curve at the point (2, 3). dx2 2x3 – 3y2 =…

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

A: Solved below

Q: Q1: a) Find the directional derivative of S = In(2x +3y) at point (-1,1) in the direction of 4i – 3j…

A: (a) Given S=ln(2x+3y) Differentiate S partially with respect to x and y Sx=22x+3y…

Q: What is the equation of the line tangent to the curve e' + cos(x) = 1 at the point (,0

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Q: Find an equation of the tangent to the curve at the given point by two methods: without eliminating…

A: The given curve and the point is x=sin(t), y=cos2(t) ; 32,14

Q: Find the slope of the tangent line to the graph r=2sin(0) at the point V3, 3 11.

A: We have to find

Q: Q4: Find an equation for the line tangent to the curve 2y cos x = 4x sin y , at the point where x =…

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Q: Find the slope of the tangent line to the curve cos(3x−3y)−xe−x=−7π2e−7π/2 at the point (7π/2,3π).

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Q: Find an equation of the tangent line to the curve at the given point. y = 8ex cos(x), (0,8) y =…

A: Here y is given find.slope.from.it then solve as below

Q: Find the equation of the tangent line to the graph of the functionf (z) = sin (7/z) at the point…

A: Given equation is                                              f(x)=sin7x we have to find tangent at…

Q: Find an equation of the tangent line to the curve 2(a2 – y²)² = 25(x² + y²) at %3D (3, 1)

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Q: 2. Find the derivative of each of the following: (a) f(x)= 3" cos² (}x) %3D (b) h(x) = Vrd – 4x + 1…

A: (a) Consider the given function, fx=3xcos212x Here the objective is to find the derivative of the…

Q: Determine the points in the interval [0, 2π) at which the graph of the function f(x) = √2x + 2…

A: We find point of tangent on given curve.

Q: . Find an equation for the tangent to the curve x sin 2y = y cos 2x at the point (T/4, 7/2). %3D

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Q: Find an equation of the tangent plane to the graph z = Væ + y³ nt (8, 2, 4).

A: We know that equation of tangent plane to the graph z=f(x,y) at point (a,b,c) is…

Q: Find the equation of the fangent line to the graph of the function f (z) sin (3,/7) at the point…

A:

Q: In(4z+10) Find the derivative of the function f(z) = z'sin(9z + 12) + %3|

A: Given:- f(x)=x4sin(9x+12)+ln4x+10x3 To find:- Derivative of given function

Q: tanh" (cose 3x

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Q: Q3)B/ Find the slope of the tangent line to the graph of x² cos(y) = 2y- eš* at the point (1? %3D 00…

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Q: #4. Find the equations of the tangent lines to the relation 3y = x² - 4y when x 2.

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Q: Find the slope of the tangent line to the path of a carnival ride x 7 cos() + sin(7t), y = 7 sin() +…

A: Given  x=7cos(t)+sin(7t) y=7sin(t)+cos(7t) We need to find the slope of tangent at t=0

Q: Compute the derivatives for the following functions. Be sure to show all your work. (a) C(q) = sec…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Find the equation of the line tangent to the curve y=x+cosx at the point (0,1)

A: Given, curve and point

Q: Find the slope of the line tangent to the curve r = cos(30) at 0 4

A: To determine the slope of the tangent lines.

Q: Find the equation of the line tangent to the graph ofy = 3 sin x + cos 2x at x = π/2

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Q: 8. Find the tangent to the Witch of Agnesi, f(x) = at the point (2, 1) x²+4

A: