Determine the indefinite integral. Check your work by differentiation. dt [(-7 cos t) sin t +C 7 +C sin t -7sin t+C O -7 cos t+ C

Q: (9x8 - 2x - 6) dx

A: The given integral is

Q: d 5x+3 4. dx 7x+2

A: As we know that; The Power law: ddxxn=nxn-1 The Quotient rule: fg'=f'·g-g'·fg2 And c·f'=c·f' ; where…

Q: d 1 Use implicit differentiation to prove (arcsin a] %3D 1-a

A: The detailed solution is as follows below:

Q: In the given equation, find dy/dx by implicit differentiation. O (3x²+tan-ly)(1+y²) (1+y)e-x O…

A: Basic identities of differentiation is used.

Q: sin xV1 cos xdx

A: ∫sinx1-cosx dxSubstitute t=1-cosxt=1-cosxDifferentiatedt=sinx dx

Q: Regard y as the independent variable and x as the dependent variable and use implicit…

A:

Q: Verify the product law for differentiation, (AB)' =A'B +AB' where A(t)= To calculate (AB)', first…

A:

Q: The nth derivatives of sinªx is ㅎ4"cos(4x +

A: FALSE. SOLUTION IS GIVEN BELOW HANDWRITTEN DOCUMENT. nth derivative of sin^4x

Q: Using the parametric differentiation find dy, if x = 9t², y = 5t³ O 0.83t O 1.11t O 2.70t O 1.39t…

A: x=9t2 ,y=5t3

Q: dz Use implicit differentiation to find 3x2 1+2y 33y+z x+2yz 323y 1+2y %3D 1+2y

A:

Q: 2. Use the process of implicit differentiation to find given that sin(4x) + sin(2y) =

A:

Q: Calculate the derivative d da 34 dt using Part 2 of the Fundamental Theorem of Calculus. 34 d dx…

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Q: dy Find by implicit differentiation, where 2x7 + 7x³y – 6xy" = 4. dx dy dx

A: