3dy √1-4y² xdx cos² (x²) 2 4. Solve - 5. Solve - 6. sinx dx secx

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A: Given: we have ax=2n-1!2n+1!

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Q: Differentiate F(x)= = [²7 7t² +4 +1 dt.

A: Given   F(x)=∫1x7t2t4+1dtTo Find: F'(x)

Q: a) Use the method of Differentiation from first principle to prove that the derivative of the square…

A: Answer: As per guidelines we can do only one question at one time so please post other questions…

Q: 1. a) Compute each of the following limits. i ii ²-25 lim X-5 x+5 lim 5x²-3x+1 x-00 4x²+2x-7

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A: Inverse laplace

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Q: 2. Set up the triple integral to find the volume inside x² + y² = 9, above z = 0, and below x+z = 4.…

A: Solution is given below:

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Q: 54. Solve the following triangle. B= 20°, C = 10°, b=4 A≈ (Simplify your answer.) a (Type an integer…

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A: Topic -clock problem and linear equation

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A: Solution: True

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Q: Integrate: fx(2x - 1)7 dx

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Q: the

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Q: Let a R and b E R. Suppose that a > 0 and b>0. Give a counter example to show that the following are…

A: Given data:- a∈Rb∈Ra&gt;0b&gt;0 a ⌈a+b·a-b⌉=⌈a+b⌉·⌈a-b⌉(b) ⌊a-322⌋=⌊a22⌋-3a+5(c) ⌊a-b2⌋=⌊a2⌋-⌊b2⌋

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Q: 15. C. C xyet² xe dxdy

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Q: Find the limit. lim √√x+5 cos (x + π) X-IA O A. A. -√√5- B. √√5-T C. 0 O D. 1 OE. The limit does not…

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Q: Find the critical numbers for f(x) = 7x*eº. 0, e O 0. O alt Tla 20.-1 0,- .7

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