dy There is no need to simplify. dx 2. Find cos-(sin x) – sech(tan-1 x) ecosh z a. y=

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Q: lim(32x-3 + 5) X4

A: The given limit,        limx→432x-3+5

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Q: Consider the following planes. 5x + 6y - z = 132 x - 12y + 2z = 0 (a) Find the angle between the two...

A: Solution is given below:

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Q: 12) Find the volume of the solid bounded by x² +y² = 4 and z=x+y in the first octant.

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Q: Find the indefinite integral and check the result by 3/2 + 4x + 6) dx

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Q: -3x Evaluate (x" x" +T) dx Answer: Submit Answer

A: Given: I=∫xπ+π3xdx   We know that; The Sum rule: ∫fx±gxdx=∫fxdx±∫gxdx The Power rule: ∫xndx=xn+1n+1+...

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A: Given 

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Q: 6. y' – y = e* 8. 4x'y + x*y' = sin’x %3D

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Q: 9. Let a be a positive value. State the integral test, and use this to determine whether ). -an e n=...

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Q: 7. у' — х — у

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Q: Select the basic integration formula you can use to find the indefinite integral. dt du Va? - u? du ...

A: The given integral,∫61-t2dt

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Q: Every power series converges at x=0. True or false.

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Q: Evaluate the integral f cos x(1 – sin æ)-1/² dx. O In(1 – sin z) + C O In (sin z) + C O In (cos z) +...

A: To evaluate: I=∫(1-sin x)-12dx=∫(1-sin x)-12cos x dx

Q: et –1 t2 – 3t + 5 lim t-0 t t2 – 1

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Q: Prove using the formal definition of limit that lim c = c. xa

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Q: 2. Prove that g(x) = sinh x + x – 1 has a zero in [0, ln 2].

A: To prove that gx=sinh x+x-1 has a zero in 0, ln 2.

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Q: Write the expression as the sine, cosine, or tangent of an angle. 3 COS sin)sin() COS - 7

A: Note that: cos x cos y-sin x sin y=cos (x+y)

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Q: O Evalunte

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