For cos x-sin y 2 find the value of k so that ky" -1 at y: 6. 4 3. 4.

Q: If y=sin²r+ tant, x=- In(-cost) – e sinr, find the value of y' when = 6 2+ Vze VE 2/3 V2-e ? 2-Vze 2

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Q: Find y' for y = ecos x + tan-1(5x) + (5x² + 1) ?

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Q: For cos (xy) =, evaluate y when x = 1. A 3 B 3 D

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Q: For cos (xy) = evaluate y when x = 1. COS - 4 3 O O

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Q: The function f (±) = 4 cos r+ 10z has a removable discontinuity at r 0. To remove the %3D z sin z+2r…

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Q: Given f(x,y) 5x sin(5xy). Find f,(3,3). Give you answer correct to two decimal places. Answer:

A: Explanation of the answer is as follows

Q: For cos2(xy) =-, evaluate y' when x = 1. 4

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Q: Given f(x, y) = 3x* cos (y), find COS

A: Givenfx,y=3x4cosy5

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

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Q: Given f(x,y) = 3x sin(4xy). Find f,(4,4). Give you answer correct to two decimal places. Answer:

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Q: If y = sin?t+ tant, x= - In(- cost)-e sinr, find the value of y whent=: 4 3/2 (B 2- Vze ? 6. (C) 2+…

A: Given y=sin2t+tant and x=-ln(-cost)-esint

Q: If (x) = tan(e"), then f"(x)= %3D A. 2e sec (e") B. 8e tan(e") C. 4e sec (e") D. 8e" sec (e*)tan(e")…

A: Given, f(x)=tane2x

Q: For cos (xy) evaluate y' when x = 1- 4 3 3.

A: Given:- cos2(xy)= 1/2 To find :- y' at x= 1

Q: Ex(i) Find the aln Ja that Mles fcas is Contincnity at X= I , where Cos X x to ーメ2 そa-3a+4 X =0

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Q: For cos2(xy) = , evaluate y when x = 1. 4 6 3 3 O O

A: Given query is to find y'.

Q: Veridy that x - T -Ž ?I ti) e -n4 sin (nx) and 00 -n sin (nx) are equivalent .

A: The Fourier series expansion of x3-π2x in the interval -π to π is given by…

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: For x=cos(3t), y=cos(6t), 0<t<n find and simplify dy dy COS and dx

A: Given: x = cos(3t),    y = cos(6t)     0&lt;t&lt;pi     To find:

Q: Q2\ Answer TWO branches only A- Prove that sin(tan¬1(x)) V1+x? sin-1(x2) ) B- Find for y = sech ( dx…

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Q: 1 For cos2(xy) = , evaluate y' when x = 1.

A: The given equation is cos2xy=14. Calculate the first differentiation y' of the given equation at…

Q: For cos2(xy) =, evaluate y' when x = 4

A: Given that: cos2(xy)=14

Q: Find y' for the following 1- y5 + x?y3 + 18 = ye** | 2- Sin(x + y) = y² Cos x

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Q: For cos2(xy) = L. For cos2(xy) =-, evaluate y' when x = 1. 4 3

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Q: Given f(x,y) = 4x sin(5xy). Find f,(5,3). Give you answer correct to two decimal places.

A: Given: f(x,y)=4xsin5xy To  find: fx(5,3)

Q: Given f(x,y) = 4x sin(5xy). Find fyy(4,5). Give you answer correct to two decimal places. Answer:

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Q: For cos (xy) = evaluate y' when x = 1. 4 3 6. O O

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Q: For cos2(xy) 4. evaluate y when x= 1. COS 3. 6.

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Q: e cos xy [ydx + (x + tan xy) dy] = 0 %3D

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Q: For f(x, y) = sin(9ry), evaluate fa at the point (2,-). %3D -9 O s(2) -18 O (2=) - 97 o s.(2) =0 97

A: Given f(x,y) = sin(9xy) To calculate :   fx = ? At

Q: For each of the following, find dy: cos (e-*)+1 1. у 3 1-cosh (1–x) 2. y = 21+x'Arctanx

A: we have to find derivative

Q: Q5. (a). Simplify the following by using Demoiver's theorem. (1– cose +i sin 0)6 (b). Examine the…

A: a) Consider: 1-cos θ+isin θ6. Let z=1-cos θ+isin θ Since 1-cos 2x=2sin2 x and sin 2x=2sin xcos x.…

Q: The domain of y = cos-1 x is______ and the range is_______.

A: Let the given function be y - y = cos-1xTo find value of y, we have to represent the function in the…

Q: For 1, eliminate the parameter and write an equation in x and y 1) x= 4 cos (2t), y=-4sin (2t) し Cos…

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Q: G:2 Approximate the sel of K= Sin xo upto 4 decimal places by using Nedu'ton methed

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Q: At which of these x-values is the value of y=cos x greater than the value of y=sin x? Select all…

A: From above we can see that when x=π6, (cos x,sin x)=32,12 here cos x&gt; sin x From above we can see…

Q: For cos^2(xy)=1/4, evaluate y’ when x=1

A: We have to solve the problem

Q: Consider (D² + 1)y= se = sec x . If y, = f cos x + g sin x, what is f and g ? A = In cos x|, g = x f…

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Q: Solve the equation for x, where x is restricted to the given interval. y = 3 tan (2x - 1), for x in…

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Q: Q5-Find2 for + cos(xy) y

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Q: Given that f(x, y) - cos(x²) + 6e* sin y . Find fxyxyx · %3D

A: fx, y=x61+6y-cosx2+6exsiny Partially differentiating with respect to x, we get…

Q: 3 cos(wt - a), where w and a are constants

A: We find the Laplace transform

Q: How many points lie on the intersection of the horizontal line y = c and the graph of y = sin x for…

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Q: given dy=x+coS X find yuhere y( -1.

A: Using variable separable.

Q: Given f(x,y) = 3x sin(4xy). Find f,(4,5). Give you answer correct to two decimal places. Answer:

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Q: Given: = 0 – sin 0; y=1– cose Find: dz2

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Q: For sin y=- find the value of so that (y+y")= - 1 at 1 at x=0 Cos X-

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Q: For cos x– sin y= , find the value of k so that ky"= – 1 at y=- 2 2 4 2

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Q: If y= sin?r+ tant, x=- In(-cost) - e sinr, find the value of y' when t=-. 6 (A) -Vzle? 2/3 B Vz-e ?…

A: Given that: y=sin2t+tan tx=-ln (-cos t)-esin t We have to find the value of y' when t=π4

Q: Given f(x,y) = 3x sin(3xy). Find f,(3,4). Give you answer correct to two decimal places.

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Q: H.W Find y' for y = ecosx tan- (5x) * (5x² + 1)? COS

A: Given,           y=ecosx*tan-15x*5x2+1