(b) Find, where y= cos ecx- dx -4x+7

Q: Approximate (a) cos 0.8 and (b) cos 1/2 using the linear approximation technique

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Q: -3 Evaluate: ²¹²² ²³ y cos(z³) dx dy dz

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Q: y = C,e²x cos(3x) + C2e2x sin(3x)

A: y=c1e2xcos3x+c2e2xsin3x  differentiate with respect to x…

Q: dx- B- If y = cos*x – sin*x , prove that: - d²y = -4cos2x dx²

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Q: COS V4- x2 dx -2 1/2

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Q: Q. It sin x Cos X XCOS xQ /- sin xd 3.

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Q: (2) Find it -ソ= x(lue) 2- Y=lu(Cosx )

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Q: Using Variation of Parameters 4y''+4=cos-1x

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Q: |3 cos 2.r dx 3.

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Q: cos z16 x17

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Q: Find y' and y". y=2sin4x-cos(8x-1)

A: Let's find.

Q: fo (9 cos(x) – 2 sec²(x)) dx

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Q: 2z2 cos 5z dz EVALUATE.

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Q: y= cos (1-t) and x=V2t - t2

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Q: cos2x a) -.dx,b) xe*. dy Į sin2x. [In(sin2x)]² + sin2x 0.

A:

Q: y cos x- sint x %3D

A: Given: Y = cos4x -sin4x

Q: y=cos(4x) /cos22x-4sin2x cos2x differentiate?

A:

Q: Q: Evaluate: 2х -1 cos dx (1+x²

A: Solved below

Q: (D³ + 3D + 4D³ + 12D²) y = 32 cos (2x) +3e3 – 16 sin (2) -

A:

Q: y = 5 cos (x*), -1sxs1

A: Here we use differentiation to solve this question.

Q: Find y' cos(xy) - y^4 = 5 - 3x

A:

Q: Find the derivative.

A: given,         y=cos-1t-1-sec-1t

Q: (D² – 2D- 3)y = 2sin x a. y, = -cosx – 2 sinx =csx COSX b. y, = --cosx - - sinx COSX c. Y; = - cosx…

A:

Q: find δƒ/δx and δƒ/δy. ƒ(x, y) = cos2 (3x - y2)

A: Consider the provided provided function, fx,y=cos23x-y2 Find the partial derivatives of the function…

Q: y = (cos(3x))*

A:

Q: 5-2x dy if y = cos Find dx %3D 5+ 2x

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Q: I3Jsin'x cos x dx .6,

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Q: Find the value of zrr at the point (0, 3, 2) where x?y? + z2 – cos(xyz) = 10. -

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Q: 2-+x* cos y = 0 dy y

A:

Q: dx is equal to 1+cos x O - cotx + cscx +c O - tanx + cscx + c O - cotx + secx + c O cotx + cscx + c

A: We have to find the integration and also find the limit in the second question.

Q: - 24) fx cos (x*) dx 26) dx

A:

Q: -r°(1-cos2x) 1- dx 2

A: 1). To evaluate the integral: ∫π01-cos2x2dx Solution: Evaluating the given integral.…

Q: 3- dx for y x sinx is equal to: a)2x cosx b) 2x sinx + cosx 2x c)x cosx+ sinx 2x

A:

Q: Use Method of Undetermined Coefficients: y" - 2y' + 5y = 4e*cos2x +x?

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Q: y = cos x, y= sin 2x, x = 0 and x = 2

A: Solution

Q: Find y' and y". y = cos(x?) y' - -sin (x²) ( 2x) y" =

A:

Q: The solution of Sinx dx - x sinx+ y cosx= 0 is (y– 1) sinx =? A C-x sinx B C+ x cosx с-х cosx D C+ x…

A: sinxdydx-xsinx+ycosx=0sinxdydx+ycosx=xsinxddx(ysinx)=xsinx

Q: f Cos 6 x dx 2 Cos ²3x

A: Solving the problem by finding the value of the problem.

Q: d (cos² 2x)=-2sin 4.x dx 12 Show that %3D

A:

Q: y = cos(x),

A: Given data:     The given function is: y=cos(x).       (a) The cosine function is an even function…

Q: 2. cos x dx - 67

A:

Q: find δƒ/δx and δƒ/δy. ƒ(x, y) = sin2 (x - 3y)

A: Given: fx,y=sin2x-3y  To find: ∂f∂x,∂f∂y

Q: y = In(cos“ x ) %3D

A:

Q: y = 15x cos X COS X %3D

A: Given that - y = 15xcosxDifferentiating on both sides with respect to x - y' = 15ddxxcosxy' =…

Q: sec x dx cos(2x +a)+ COS a

A: Introduction :