Find an equation of the tangent line to the curve at the given point. 1 + sin(x) y = (п, — 1) cos(x)

Q: » Given : x - xy + y? = 4 a) Find dY by implict differentiation : b) Find the equation of the…

A: Given equation, x3-xy+y2=4 To differentiate the term, use the formula, xn=nxn-1

Q: 1 R(t) = 2 sin(t) – 4 cos(1)

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Q: 10. The slope of the tangent line to the curve y(cos x)+e' =5 at the point where x= is (5+In 5) In5…

A: The slope of a  tangent line of a curve at any point will be equal to the slope of the curve at that…

Q: find an equation for the line tangent to the curve at the point defined by the given value of t.…

A: To find: The equation of tangent to the curve and also find d2ydx2. Given: The functions are x=cos…

Q: O Find the equation of the line tangent to the curve at the given value of the parameter. x cost+…

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Q: An equation for the tangent line to the curve In(sec x + y?) = tan(x)+e2" – 1 at the point (x, y) =…

A: Given curveIn (sec x +y2) = tan x +e2x-1We have to find the equation of tangent line at the point…

Q: Question 24 The slope of the tangent line to f(x)= cos(x)· sin(x) at x = is ... ANSWER: Blank 1…

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Q: A) find the derivatives for the following: 1) y = In(In(sin¯'(e?r))) – 5-Inx 2) Y=sech-1(log, 93*) +…

A: Chain rule for differentiation: Let y=fghx then dydx=ddxfghx=dfghxdghx×dghxdhx×dhxdx Equation of…

Q: find an equation for the line tangent to the curve at the point defined by the given value of t.…

A: We have given parametric equation x=4sint, y=2cost  We have to find the tangent line of the given…

Q: 1. Find the derivative (dy/dx) of the following functions: a) xy = cot xy

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Q: -2x²+2x+1 Find the equation of the tangent line to the graph of F(x) ev dy at x = 0. sech z

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Q: QUESTION 11 Find an equation of the tangent line to the curve at the point corresponding to the…

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Q: If f '(1)=4, f(1)=2, and g(x)= f(x)·tan¬(x), what is the slope of the tangent line to the curve…

A: We can solve the problem by obtaining the tangent by doing derivative of the function given.

Q: Find an equation of the line tangent to the following equation at point x = 1. tan x f(x) =x What is…

A: Given : f(x) = xtanx

Q: Find the equation of the tangent line to r = sin3θ  at θ = π/6

A: The equation of the tangent line to a curve y = f(x) is: where m is the slope of the tangent line m…

Q: Find the equation of the tangent and normal to the following corce at the points indicated against…

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Q: Find the equation of the tangent line to the curve y = 4 sin x + 2 cos a at the point (0, 1/2). The…

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Q: 1 y = 5 sin x + 3 cos x at the point (0, 1/3). The equation of this tangent line can be written in…

A: Here a function is given and we have to find the equation of the tangent line in the form y=mx+b at…

Q: Question 2 Find an equation for the line tangent to the curve at the point defined by the given…

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Q: C) Find the equation of tangent to the curve 4x +9yi = 36 at the point (3 cos 0, 2 sin 0).

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Q: find an equation for the line tangent to the curve atthe point defined by the given value of t.…

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Q: L-1 (s² + a²y² (sin at + at cos at] 2a

A: Some of the properties of the inverse Laplace transform L-1aF(s)+bG(s)=aL-1F(s)+bL-1G(s)…

Q: find an equation for the line tangent to the curve at the point defined by the given value of t.…

A: Given equations - x = sec2t-1                                       x = tan2t         .........(1)…

Q: Find the equations of the tangent line and normal lines to the graph of the function f(x) = 3 sin x…

A: Given,  fx = 3sinx  We have to find the equation of tangent line and normal line at x = π2

Q: 1. Find the derivative (dy/dx) of the following functions: a) xy = cot xy b) x cos(2x + 3y) = y sin…

A: NOTE - (“Since you have posted multiple question with multiple sub-parts, we will solve first…

Q: 3. Find the derivatives of the following in two ways: -by evaluating the integral and…

A: This is a problem related to integration of the function. Please follow the procedure given below.

Q: find the equation of the tangent line to f(x)=12e^xcos^2(x) at x pi/4 use sybolic notation and…

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Q: The slope of the tangent line to the curve at (x,y) point is defined by (1+ k) e2a+e .If the curve…

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Q: Find an equation for the line tangent to the curve at the point defined by the given value of t.…

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Q: Find the equation of the tangent line to the graph of the given function at the given value of x. 2…

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Q: 1.) The slope of the tangent line to the wve y?= 5+-1 at PCi,e) 2.) Find the First denivative of…

A: Using derivatives.

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

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Q: A b. C find an equation of the tangent to the curve at the given point (T/6,1) 4 sin ² x y = + y =…

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Q: 1. a) Find the equation of the tangent line to the curve given by F(t) = (cos(nt), t, 1 + t2), for t…

A: First we find r(2) and r'(2). Then find equation of tangent line to given curve r(t).

Q: Let a function y(x) be given implicitly by the formula: y° - 3xy2 +y cos(x) – x = 10. %3D Find the…

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Q: Find the equation of the tangent line to the curve 1 y = 3 sin z + 4 cos a at the point (0, 1/4).…

A: Given:     y = 1 / ( 3 sinx + 4 cosx ) Point: ( 0 , 1/4 )

Q: find an equation for the line tangent to the curve atthe point defined by the given value of t.…

A: Given, To get the equation of the tangent line, finding slope is the first step. Here both x and y…

Q: find an equation for the line tangent to the curve at the point defined by the given value of t.…

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Q: .2). T Find the equation of the tangent line to the curve y 4 sin x at the point || The equation of…

A: Given: y=4sin x point (π6, 2)

Q: An equation of the tangent line to the curve y = sin(z) at x = 1/6 is y = -(z – 7/6) . An equation…

A: a.

Q: d. Show that sin ž is exists or not? e. Verify that the derivatives of sinh z. f. Solve the value of…

A: The solution are next step

Q: 2+ cos x 5 (b). Let g(x) = Find equations of the tangent and normal lines to the x sin x graph of y…

A: First find the point corresponding to given value of x then take the derivative of function to get…

Q: Find the exact length of the curve. y = (x-x2)1/2 + sin-1((x1/2))

A: The arc length formula is given as

Q: Find an equation for the line tangent to the curve at the point defined by the given value of t.…

A: Given,         x=t-sint , y=1-3cost , t=π3

Q: find an equation for the line tangent to the curve atthe point defined by the given value of t.…

A: We need to find an equation for the tangent line to the curve at a given point of t. Also, we need…

Q: Function 1 t h(t) = sin t+=e 5 Point πT 1 I, -e 5 (a) Find an equation of the tangent line to the…

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Q: Let a function y(x) be given implicitly by the formula: y3 − 3xy2 + y cos(x) − x4 = 10. Find the…

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Q: Find the derivative of the trigonometric function. Re) = e® sin(e) f (e) = -1

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Q: Find the derivative of the function at Po in the direction of A. 0. f(x.y) = - 5xy + 3y, Po(0,1), A=…

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Q: 7) Let x = t – sin(t) , y = 1– cos(t). Determine the equation of the line tangent at t = n.

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