Find dyldx for the following functions at x=pi/4 : y= In(Cosx) -1 O 2 -2

Q: Q5: Find d for the following functions: dx (1) In(x - y) = xy + y³ ; (2) y = tan³ √cot(7x) ;

A: We can solve the answers as below by finding the derivatives.

Q: For the function f(x.y.z) = sin'(5xyz), find fy. fy. and f (Type an exact answer, using radicals as…

A: f(x,y,z) = sin-(5xyz) fx = derivative with respect to x fx = 5yz/1-25x2y2z2 fy = 5xz/1-25x2y2z2 fz =…

Q: Given x2 + 11x + 18 f(t) = | 1+ cos? (x) At what value of t does the local max of f(t) occur?…

A: Find f'(t) using first fundamental theorem.

Q: Differentiate the following function. y= e x6 to d y' = %3D dx Teto %3D

A: Given : y = ex6

Q: Find y" for the following function. y = 4 cos x sin x y" = У'-‑

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Q: Find for the following function. xp y= 3x cos x sin x dx

A: Given the functiony=3x2cosxsinx

Q: dy Find for the following function. xp y = 6 sin x + 2 cos x

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

Q: The domain of the function y tanh z is 1, +∞). Select one: a. False Ob. True

A: To find the domain of this function, we use the fact that for any one-to-one invertible function f…

Q: Show that the following functions are harmonic: u(x, y) = tan−1 y/x

A: u(x,y)=tan-1yx

Q: Consider the following function and express the relationship between a small change in x and the…

A: Given f(x)=cot 8x

Q: Where is the shift of the graph of y = cos ( – x) that is obtained from the function y =cos x? A. to…

A: Given y=cos(π-x)y=cos(-(x-π)) Compare it with y= A cos(B(x+C))+D Here C is the horizontal phase…

Q: Q7) Set up the integral representing the length of the curve (sint, cos² t), cos"e). - – s1s. <t< 2

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Q: b) 5y = 2x? + sin (y) %3D

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Q: 04) Find dy /dx for the following functions: a) y².cotx= [sin(x.y)]-¹ b) y = (lnx + x)tan

A: See the answer below

Q: dy Find of the following functions. dr (a) y = sec(4r?) (b)y = sin4x + cos7x (c) y = cot (v4– 2²)

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Q: Graph the curve described by the function, indicating the positive orientation. r(t) = (2 cos t)i +…

A: The given function is- r(t) = (2cos t)i + 3j + (2sin t)k, for 0 ≤ t ≤ 2π

Q: Given the equation x In(y) dz = z Arctan(3y). Assuming z as a function of variables x and y, find ar

A: To partially differentiate the function z with respect to x.

Q: Find the domain and range of each fuction f(x)=V sin x– cos x -

A: f(x) =sinx-cosx The number inside the radical must be greater than or equal to 0.    sinx-cosx≥0…

Q: Evaluate the given function using homogeneous ydx = (x + Vy? – x² dy A. Arcsin (-) = In (A B.Arctan…

A: In this question we have to evaluate the given function using homogeneous.

Q: Find the most general antiderivative of the following functions. (d).r(θ) = (sec θ − tan θ)^2

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Q: a²z B. For each of the following functions z, find azz and ду? a2z дx? дудх' дхду' 1. z %3D2x? — 5ху…

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Q: Q5: Find for the following functions: dx (1) In (x - y) = xy + y³ ; (2) y = tan³√/cot(7x);

A: Given :lnx-y=xy+y3y=tan3cot7x Following formulas are used- ddxxn=nxn-1. ddxlnx=1x…

Q: Find aw/as and ôw/at using the approprilate Function Values sin(4x + 5y) X = s + t, y = s - t TT S =…

A: w=sin(4x+5y) x=s+t,y=s-t replace values w=sin(4(s+t)+5(s-t))=sin(4s+4t+5s-5t)=sin(9s-t) w=sin(9s-t)…

Q: The amount of daylight in a town can be modelled by the sinusoidal function d(t)= 4.37 cos 0.017t +…

A: Solution of given question is written in below steps.

Q: Find for THREE of the following functions: dx 1-y()+In(cos(x)) + √2-y=2(cos(x))*(x)

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Q: Find the lengths of the following curves: e. x = 8cost + 8t sint and y = 8 sin t – 8t cos t, 0stsn/2

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Q: Determine the length of the curve of the following functions (x²*+ 1)} a, y=- from x = 1 to x = 4 b.…

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Q: Find JW and when s-1 and t= 2T for the function given by w= xy +Y2 txz nhere x S Cos t, y = s sint,…

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Q: Given the equation r In(y) = z Arctan(3*y). Assuming z as a function of variable dz and y, find

A: The given equation is xln(y)=ztan-13zy ........................................ (1)  Here z =…

Q: dy Find dx or y' of the following functions and make any obvious simplifications: a. Y = cot(Ve" )…

A: Solve for derivative

Q: dy Find y' of the following functions and make any obvious simplifications: or dx a. Y = cot ' (Ve)…

A:

Q: Consider the following. x = 2 sin(t), y = 3 cos(t), 0 <t < 2n dy d?y Find and dx dx2 dy dx d?y dx2…

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Q: Find the first order derivative for the following: cot(e(+M)y) sin(My²) + Vx4 + Mex %3D

A: We will find  ∂T/∂x,    ∂T/∂y

Q: Let z be defined implicitly as a function of r and y by the equation dz 4+ In (xy?) – cos (xy – z) =…

A: We know that (u·v)' = u·v' + v·u' ddxtanh-1x = 11-x2 ddxfu(x) = dfdu·dudx      (chain rule)   Given…

Q: Find dx for the following function. 8 cos x y = 9-7 cos x xp

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Q: t+1 e i+ sin 2t lim 花1=?

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Q: Find the slope of the curve r = at 0 2+cos 0 O -1.155 O None of these O-1.551 O -1.515 2.

A: I am attaching image so that you understand each and every step.

Q: Differentiate the following function. -t r(t) = (5t e,3t In t,t sin r (t) = %3D

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Q: Find the arclength of the following function from x = 0 to x = 2 (x² +2)Wx² +2 f(x)=. 3

A:

Q: Q4/A/Find for the following functions dy dx X 1. y = cot 2. y = sinxtanx

A: Sol 1) ddxarccot1+x1-x=-11+x1-x2+1ddx1+x1-x=-11+x1-x2+1·21-x2=-1x2+1

Q: Q4) find at t=- from the following functions, X= sec't-1. y= tant

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Q: : Find the Lablacion of the following function z = f(x, y) = ye* cos y

A: Follow the steps.

Q: Find of the following functions. Do not simplify. dy da (a) y = x³ cos(Tx) (b) у (3x–10)² sin(x) Y =…

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Q: Find the tayler seris of f(x)=cos(x+pi/6) centared at a=pi/3

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Q: Match the functions with their periods. y = sin(z - T) y = -csc2r y = 5cot -8 y = -6cotr – 10 y =…

A: Given: y=25sinx-πy=-13csc2xy=5cotπ--8y=-6cootx-10y=5sec(2x+2π)y=-3tanx2

Q: Find the arclength of y = 2x/2 3/2 on 1 < x < 3

A: We know that the arclength of a curve y=f(x) on a≤x≤b is given by L = ∫ab1+f'(x)2 dx

Q: dy Find dx or y' of the following functions and make any obvious simplifications: a. y = arctan(e")…

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Q: b. Find y' of the following function using MATLAB y = sec(In(2M * x))e5x + cos(2Nx)

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Q: find Laploce trans form of function f (t) =t et (Sinh 3t - 7t )

A: Given below the answer in detail