Sx² – 4, iƒ x > 1 -x – 1, if x < 1’ continuous at x = 1. If the function is discontinuous, state the type of discontinuity that exist. 7. Given the function f (x) = graph the piecewise function and determine if f(x) is

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A: Given that: f(x)=xx+5 and g(x)=3x-5

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A: Formula: Weight = mass×gravity ×hight  

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A: For the solution follow the next step.

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A:

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A: As per the guidelines we are supposed to answer only three Questions , 

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A: Orthogonal trajectory

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A: Using the Four‐Step rule in derivatives, to find dydx in each of the functionsgiven below.j y=xx-1k ...

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A: In this question , we can solve given integral by using substitution method. ∫un du = un+1n+1+C

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A: Here, the given function is: f(x)=x3-1  

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A: The Solution is given below-

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A: Let's find. 

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A:

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A: We can find the tangent equation and normal equation as below.

Q: COS TTX

A: As requested we can solve no 5 as below

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A: Given that:                              

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Q: 2x+

A:

Q: Calculate the work (in joules) required to pump all liquid out of a full tank. b Assume a = 4 m, b =...

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Q: IL Solve the linear differenhal equations 1.( D2+ GD+ 13)y 2. (D5-2D3_ 2D²-3D-2)y-o 3. d3y d+ +by 8 ...

A: Using method of linear differential equation.

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A:

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A: Given that: s(t)=17t2-2t3

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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:

Q: 10 -dx (x – 1)(x² + 9)

A: According to question,Given integral,Let I = ∫10x-1x2 + 9dx

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Q: Consider the function fcX) = Vx+8 Part A: us.ng a limit, s how thut f'l1)=- Part B: Find the eavatio...

A: Using definition of derivatives (limit form)

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A: