5. Calculator activ dy %3D 3(sin 0 + de

Q: Sinx y dydx

A: Apply power rule∫xn dx=xn+1n+1 with n=1∫0sin xy dy=y22               =[y22]0sin x…

Q: Differentiate y = sin (x 2)

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Q: -y = sin Va

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Q: hpxp(₂h + x)us hx [V² [V² Find

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Q: Sin Y=

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Q: sin 3x dx 3-10cos3x 10.

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Q: Describe the technique for finding ∫ sec5 x tan7 x dx. Do not integrate.

A: Given ∫sec5x tan7x dx

Q: Differentiate sin y =a'

A: Consider  y=asin−1x2

Q: COs 2x cotx x – tanx %3D sinx · cOsx

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Q: Se** sin (4x) dx

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Q: 2. dx 2. Solue integra

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Q: Differentiate  (sin 2t)/t.

A: ft=sin2tt

Q: sec x tanx (1+sec'x)² + sec

A: substitute u= sec3(x)+1 du/dx=3sec3(x)tan(x) dx = du/(3sec3(x)tan(x)) put this in equation  1/3∫…

Q: Express the signal fla)=x?+3x f the sine as a serles and cosine in the inter val c0,2A)

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Q: Find dy. y=tan-1(ex^10)   dy=(______) dx

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Q: 6 lim Sinx ex -1

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Q: sinty

A: This is a basic integration problem

Q: Find if cot x +1 = sin y

A: Given, cot x + 1= siny

Q: Find and if dy dx² dy dx = 5 sec 0 and y = 5 tane

A: Given: x=5secθy=5tanθ

Q: Evaluate. (use C for aonstant of intgration) dx 2 X "- 3

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Q: sin6x 5. S 4sin?3xcos3x

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Q: Integrate x^3/sqrt(25-x^2) dx. use the substitution x=5sin(theta). Your final answer should not use…

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Q: Differentiate, hcx) = In (x-Vr

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Q: y = Secx ( sinx+ Cosx)

A: Given, y=secxsinx+cosx And we have to find the dydx.

Q: Describe some similarities and differences between y = cosx and y = secx.

A: Explanation of the answer is as follows