Use sum and constant multiple rules to differentiate the functions, indicate where the rules are used, and use proper notation f(x) = sin(2) + Vx + 5e*. 3 g(t) = 2° – V5 + cos(t) – 7V3 t5

Q: cosxdx 3T +Sinx

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Q: write sin(3x)cos(6x) + cos(3x)sin(6x) as a single trig function

A: This question is related to Trigonometric identities, we will solve it using given information.

Q: S(1 + sinx)-1sinxdx

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Q: Determine 3 sec(9x) tan (9x) dx

A: We have to determine the value of integral: ∫3 sec 9x tan 9x dx Solving given indefinite integral by…

Q: Evaluate sin dx

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Q: Evaluate tan (7x +1) sec³(7x +

A: Given that: ∫tan5(7x+1).sec3(7x+1)dx

Q: if xsinx=4.5, find(-x)sin(-x)

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Q: Explain why f(x)=sinx is an odd function.

A: We have to explain the given function is odd function: fx=sin x We know for odd function it must be…

Q: Simplify 3π2 sinh (πx) - π2 cosh (πx) - 3 sinh (πx) + cosh (πx) = 0 on the interval (0,1).

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Q: Explain how to transform sin x into the function f(x) = -sin x. 4

A: To transform the function sin(x) into the function f(x) =-14sin x, we can apply a vertical stretch…

Q: Find a suitable substitution for evaluating ∫tan x sec2 x dx andexplain your choice.

A: we have to integrate the following integral using a suitable substitution. ∫tanx.sec2xdx

Q: * Drive the following function for :(y) (5xy²z)²/³ * (sinxz) 20(sinxz) (xyz) 3(5xy²z)¹/3 A 10(sinxz)…

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Q: Find f sin ¹xdx -

A: Given query is to find the integral.

Q: Find the number of roots of the function f(x) = 1 (x+1)³ -3x+sinx.

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Q: t chawthat (1.1), C6.0), Gesz), (2,-8) are concyclic and find the cruabion of the côncle on which…

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Q: L{2tcos2t + sin2t}=

A: The Laplace transform of a function f(t) is given by;

Q: y = Secx ( sinx+ Cosx)

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