4. Find all real values of x such that x-1|> Ix+11. (-00,-1] (-00,0) O 1,0) O 1,1) O None of the above.

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A: We can solve this as follows:

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A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

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A: According to our company's guidelines I can only answer first question, since you have asked…

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A: Ara of the above bounded curve is given by

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Q: 5. Fill in the blank: For x, y ER. Equality in the Triangle inequality is satisfied, i.e. Ix+yl =…

A: x+y=x+ysquare on both the sides;(x+y)2=(x+y)2 x2+2xy+y2 =x2 +2xy+y22xy=2xyxy=xyis true only…

Q: B) Find the limits by using L.Hopital rule : 7x 1. lim x0 sin 2x x2-16 2. lim x-4 (Vx+5)-3

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Q: Q2) Find the integral value for the following functions 3x 1. S 2. S(sec(4x) – 1)² dx 3. S dx V1+3x2…

A: The integration of the integrals is  1) 3x/sqrt(1+3x2) 2) [sec(4x)-1]2 3)1/[1+(5x+1)2]

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A: Solving

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A: To evaluate the given integral.

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Q: f(x,y) = 25 - x^2 - y^2 at the point P(3, 4). Use the Partial Limit Dervatives

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Q: Find the limit. lim (t i - 7 j+1² k) t-5 lim (t i- 7j+? k) = i i+ i j+ i k

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A: LetI=∫3x1+3x2dxTake the constant out:  ∫a·fxdx=a·∫fxI=3·∫x1+3x2dxPut…

Q: 2 2 of

A: Please see the answer below.

Q: Use properties of logarithms with the given approximations to evaluate the expression. log 3x0.477…

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A: Given: (-5,4,-1) and (-3,-5,0)

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Q: 1(10,15) 2. An ant farm population is growing at a rate of g()=15e and declining at a rate of…

A: The rate of growth of an ant farm is gt=15e5t and  the rate of decline of the ant farm is dt=15e5t.

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Q: 1 Find Vf if f = 2 /x²+y² +z?

A: