Use linear approximations to estimate the following. 1. sin 9/4

Q: Find the slope of the tangent line to the curve given in the specific value of x x²y3 – 2xy = 6x + y…

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Q: find an equation of the tangent line to f(x)=3 cos(x) at x=2pi/3 Let y=f(x) and express the…

A: At x=2π3, f(x)=3cos(x)f2π3=3cos2π3f2π3=-32So, the point is 2π3,-32

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: sin(5лz) dx

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Q: t cosh (t² – 1) dt f(x) = Ji+in (1) tan-'t

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Q: 1. Write the equation of the line tangent to f (x) =1 + e*sin(2x) when x = 0. %3D %3D

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Q: For x^2 tan(y)+6x=12 Find the equation of the tangent line at (2,0) and find the equation of the…

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Q: ind the equation for the tangent lin to y- fcx) at the specified point. fcx) where x=1 x2

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Q: Use linear approximationn to approximate /81.1 as follows: Let f(x) = Vx. Find the equation of the…

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Q: Find the tangent line to g (x) 16 4T at z = 4.

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Q: Find the equation of the tangent line to f (x) = ex at x = 2. Give answer in exact form. x²-1

A: Given : fx=exx2-1

Q: Use differentials (or equivalently, a linear approximation) to approximate sin(40°) as follows: Let…

A: Given, f(x)=y= sin 40° Therefore, f'(x)= y'= dy/dx= d(sin 40°)/dx f'(x)= cos 40°

Q: f(x) = t cosh (t² – 1) dt 1+ln (x) tan-lt

A: From the Fundamental theorem of calculus, If…

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

A: We have to find equation of tangent line.

Q: What is the sloe of the tangent line to the curve x = 3 sin y at the point (0, 2π)? 3. O O ا انت 3…

A: What is the slope of the tangent line to the curve x= 3siny at the point (0,2π) ?

Q: Find the exact equation (without decimal approximations) of the tangent line in the form y = mx + b…

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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 the approximate value of cos59 with the help of differential. w

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Q: Use a linear approximation (or differentials) to estimate the given number to the nearest hundredth.…

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

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Q: Use linear approximation, i.e. the tangent line, to approximate 2.8' as follows: Let f(x) = x". The…

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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: Find by implicit differentiation. 3+ 6z = sin(zy') dy Answer: dz

A: Solution is in step 2

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: Use Property 8 to estimate the value of the integral.

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Q: Find the equation of the tangent line for f(x)=sin-1(1/4x) at the point (2,pi/6).

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Q: 9. What is the derivative of cos(at5 + b) with respect to t?

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Q: 8. Find a parameterization of the tangent line to r(t) = (cos(t), sin(2t)) at the point

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Q: Find the points on the given curve where the tangent line is horizontal or vertical, where:…

A: Consider  the given information: Let  r=1-sin(θ)  ,0⩽θ⩽2π To find the points where the tangent line…

Q: Find a point of the following curve at which the tangent line has equation = x + T. .2 2.xy –…

A: Given equation of tangent  is     y=x+π⇒ slope of tangent  =1

Q: Find the slope of the tangent line to the function f(x) = tan(cos(ax)) at x =π/2a. Leave your answer…

A: According to chain rule of differentiation ddxfgx=f'gx·g'(x) . Now using this rule differentiate the…

Q: Find the equation of the tangent line to the following equation at the specified point y= cos-1(x)…

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Q: Compute the following derivative. [(6?i+ Vij- 6t 'k) • (cos t i+ sin 2t j- 6tk)] dt [(6*i+ Vij- 6t…

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Q: Find the equation of the tangent line to the graph of f(x) = 7 sin(x) + 6 cos(x) at x = in the form…

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Q: Find the equation of the tangent line of the function tan (xy²) = 2xy, a J absoleto 700 nu at x = π.

A: Let's find equation of tangent line of given curve at x = pi.

Q: Determine the equation of the tangent line to (a) r = 2 sinθ at θ =π/6 (b) r =1 + cosθ at θ =π/2

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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: 8. Find the equation of the tangent line to y = sin (r) cos(r) at

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Q: 20. r = 3 cos 0 %3D

A: The given equation is; 20.       r= 3 cos(thetha). Repost the 21 and 22.

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

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Q: 3. Find Hhe to the (1,2) slope of the tangent live r=2-sin@ at the point curve

A: Then we plug this in the slope formula of the polar curve

Q: Find the equation of the tangent line to the curve a(x) = 3 sin-x+ In(x² – 5x +1) – e**-6x at x = 0

A: Point -slope form : y-y1=m(x-x1) ; where 'm' is slope and (x1,y1) given point.

Q: Find the equation of the tangent line at =n/6. r tan O

A: We Have to find

Q: Find the equation of the tangent line to the graph of F(x) = c2x²+2x+1 sech a ev dy at x = 0.

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Q: Find the slope of the tangent line to r = 3+8 sin(0) at 0 = %. %3D 2/2 3 2/5 7 3/7 O 11/3 5/3 13…

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Q: 2. Use implicit differentiation to find the tangent line to the given curve at the given point P (a)…

A: To find the tangent line on the given curves at the point given

Q: Find the equation of the tangent line to the function y=sin(x)cos(x) at x=4pi/3

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Q: Determine the largest value where Y = cos(3x) – 3x has a | horizontal tangent on 0 <x < 2n? Answer…

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Q: Use an appropriate local linear approximation to estimate the value of sin(31°).

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