Match the Integrals on the left side with the appropriate techni Prompts dx 3+5 cos x sec'x dx dx x(1+x4) 3/4

Q: find dy/do by implicit differentiation. x^3+y^3=12xy-8

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Q: find the general solution of  xdy/dx+4y=(sinx/x)*(sqrt of y)

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Q: Find dy/dx and simplify results: 4xy-2x^3+3/4

A: Given: y=4xy-2x3+34 To find dydt

Q: find y'. (show all the steps please) cos(xy) = x-y^2

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Q: If f(x) = 5 sin−¹(x³), find ƒ'(x). 15x² cos(x³) sin(2³)² x3 Find f'(0.4). X

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Q: (x^2 -1) dy/dx +2xy =x

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Q: Use implicit differentiation and solve for dy/dx if 6x+(x^3)y+3y^2=10.

A: The technique of implicit differentiation allows us to find the derivative of y with respect to x…

Q: Find f. Note that the coefficients and the constants must be exact values (no decimals).f^II (x) =…

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Q: Integrate: ∫ 3cos(2πx) dx

A: The given integral is ∫ 3cos2πxdx.

Q: Differentiate while showing the necessary steps. y=f(x)=x^2(cos⁡(x))

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Q: Find the following antiderivatives. a. ∫(3x^4-cosx)dx b. ∫(5^3sqrt(x^2) + 2x-1)dx c.…

A: ∫xn dx = xn+1n+1+C. ∫ax dx = axloga+C

Q: cos x )y+y'= e^(-sinx) solve the dif eq for the problem above  thanks

A: Given that  (cos x )y+y'= e^(-sinx)

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

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Q: Find (d^(2)y)/dx^2 if y=sin(x)cos(x)

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