Suppose that f(x+h) -f(x) = -7hx^2 +1hx - 3h^2x + 7h^2 +7h^3 find f'(x)

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A: Note: “Since you have posted multiple questions, we will solve first question for you. To get remain...

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A: We will find the equation of tangent line. 

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A: Use ratio test

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A: Here we have to prove that,  L1a-beat-ebt=1s-as-b

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A: Given query is to find the value of the integral.

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A: Let's find. 

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Q: Integrate: - da 9x2+16 O In (3x + v9x2 +16) + C O In (3x + V9x2 +16) +C ㅇ tan ' (뚜) + C 0 tan1 (부) +...

A: We will solve the integration. 

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A: Given differential equation, y''-4y'+13y=8e2xcos(3x)  

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A: Since you have posted multiple questions in this question which are not interlinked so I have solved...

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A: The objective is to solve the above question. 

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A: Given:    x = 8     dx/dt = 1.3  Ladder length = 10

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Q: 14. Find the linearization, L(x,y,z) of the function f(x, y, z) = x³Vy? + z? at the pointP, (2,3,4)....

A: We have to find L(x,y,z) and by use of that we have to find the value of 1.9833.012+3.972

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A: see below the answer and calculation

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Q: 11. Consider the equation x + y +e# = e dy using implicit differentiation. dx (a) Find (b) Find the ...

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A: Here we have to determine the coefficient of the term containing the variable h when f(x+h)-f(x)h is...

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A: As per our guideline we are supposed to be answer only one question you can repost other questions i...

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Q: 375 + 210 Now consider the geometric series 3n" + .... Find a and r for this geometric series. 22n 2...

A: 3π3/26 +3π4/28 +-----------+---  Find a , r and sum of the geometric series.

Q: How did he get the value inside the circle? (C 579 Sin ($/4)

A: Gamma(z) •Gamma(1-z) =π/sinπz Replacing z by 1/4