Given x = sin4t, y = -cos4t, then find at %3D t = 16 dx О a.3 O b. 2 O c.0 O d. 1

Q: Evaluate ∫y0ksin(kx−π)dx where y and k are independent of x, and y is given by the solution to the…

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Q: Given y = xva² – x² + a² sin¬1 (A. dx

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Q: Given æ = 11t – 10 and y = 121 sin t dy (i) dx dy (ii) dx? ||

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Q: If y = cos? x – sin? x, what is y? X - х, | dx

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Q: Given: [ Scos(cos2x) sin2x dx Find: du O 2cos2x dx O -2sin2x dx -2cos2x dx O 2sin2x dx O O

A: ∫coscos2xsin2xdxLet u=cos2x.So,     du=-2 sin(2x) dx

Q: ANSWER iv dx ANSWER S sin(ax) cos(ax) dx

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Q: Given that cos(2x+y）=4xsiny, where 0≤y≤π, find the value of y and dy/dx when x=0

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Q: ,sinx cosx dx 7. E e А. 2e С. е — 1 D. 1 – e В. е

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Q: The change in heat radiated by a body, detected by a pyrometer (non-contact temperature sensor), is…

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Q: Find  dy/dx, given ? = sin √x

A: Chain rule in differentiation: also,

Q: Given: x = 0 – sin 0; y = 1– cos 0 d'y Find: dx?

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Q: Given: x = 0 – sin 0; y= 1 – cos 0 d'y Find: da?

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Q: Which of the following is equal to J: x2 dx ? A. sin-1 (t) + € B. sin- (t) + € Option 1 O Option 2…

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Q: Given x2 + 11x + 30 dx 1 + cos?(x) At what value of t does the local max of f(t) occur? f(t) :

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Q: Consider solving dx using a suitable trigonometric substitution. After performing substitution with…

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Q: If z=In/x2+y2 +- tan 2 then the numerical value of + is equal to..... dy? dx

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Q: If y = sin?t+ tant, x=- In(- cost) - e sinr, find the value of y' when t==. 4 6 A 2 2 2/3 В 2-Vze 2…

A: Use dydx=dydtdxdt to simplify.

Q: TT/2 S,"/e cos?x.sint x dx in tegralinin bulunvz sonucunu

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Q: d'y Find for dr? y = 5x? cos(x) + 13 sin(x) d?y dz? ||

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Q: Find dy/dx for the given value of x y = tan-(In x) ; x= 1/e A. e В. е C. e D. Е. None of the above

A: To evaluate the derivative of the given function, apply the following formulas.

Q: +2% X Sin x dx Kt, then the value ofk is equal to

A: Introduction :

Q: If x = t +cos t, y= sin t, find d^2/dx^2

A: Given that      x=t+cost , y=sint  Here we have to find d2y/dx2 .

Q: O Find the inde frinite in tgal 曲 A cos (2¢) df

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Q: The position of an object attached to a spring is given by s (t) = cos(4t) — —sin(4t), - where t is…

A: The position of an object,st=14cos4t-16sin4t on the interval 0<t<3

Q: Given x = 2 cos 2t and y = 5 sin t. Find when t = dx

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Q: Given a sin 6t and y = cos 6t, find the following derivatives as functions of t. dy/da 1 d'y/dx² =

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Q: 6 3 oy sin (a? + 3²) dædy Find

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Q: Suppose y sin? x + 2sin a, Find dy/dx. Answer:

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Q: If y = sin?t+ tant, x= - In(- cost) – e sinr, find the value of y' when t= A 1 1 2+ V2e v7 2 D 2-Vze…

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Q: The appropriate change of variables for the dx is Vx²-4 x=2 cosØ O x=2 sec Ø O x=2tan Ø O x=2 sineØ

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Q: sin 2ax Given ſ cos? (ax)dx : Calculate the following definite integral f cos2 (0.5x)dx. 2 4а

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Q: Given x = sin3t, y = -cos3t, then find at t =. %3D dx а. 1 b. 3 с. О d. 2

A: We need to find dy/dx.

Q: The velocity of a particle moving along the x-axis is given by: v(t) = 1 cos(nt), t>0

A: Use the defination of velocity than solve the differential equation by separation of variables.

Q: Given: X = 4 cos 20 and y = 2 sin 20 What is the value of d y dx? in terms of

A: We have to solve

Q: The general solution of the DE dx = cos?y is A y= sec?x В y=tanx + C y=tan-1(x) + c y= cos os-(x) +…

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Q: Find dx implicitly, if e*(e♥ – 1) + sin(2x+ 5y) = In(v7) – dy 5 ·cot(2x - y+2

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Q: implicitly, if e*(e» – 1) + sin(2x + 5y) = In(v7) – · cot(2x) 8. Find %3D y+2

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Q: ar/ Find the Particalar fntegral Por the gue differestial アration te dzy + 16y= e + Cos 40 dx2

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Q: Find the given 5x? cos 2x dx. Using this: "uv – f v du"

A: NOTE: Refresh your page if you can't see any equations. . use integration by parts take

Q: sin z VI+ cos I

A: To evaluate: ∫sin x1+cos xdx

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

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Q: (ei-e) dx +x cosh udu = 0 when x = 0; u = 0 1. %3D

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Q: cos(xy) + sin(x/y) = 2y find dy/dx at point (pi,1)

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Q: 2. Given xy? =Sinlyz find dź/dk

A: We are given: x2+y2+z2=sinyz Differentiating both sides with respect to x, we have…

Q: If Xy +y'=1, find at the point Co,-1) 4P dx 2 5- the value of

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Q: If V) AT sin (2 Tf t)/(2 TfT), find the energy contained in v (t).

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Q: Find the general solution to the following equations: dy 2+ tan y dx

A: The given is the differential equation which can be solved as shown in step 2.

Q: 10. y = cos In 7x6

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Q: (b) If y = sin (m sinh¯x), find the value of (yn)o ·

A: Hi, you may find the answer in the form of hand-written note.