5. Compute and simplify the difference quotient f(x) = 3x² + 7x-2 f(x+h)-f(x) h 9 h = 0.

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A: Solution: We can directly use here Excel for regression, Step1) Enter data in Excel.

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A: 1) t3 sin(2t) 2) 1000 e2020t.

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A: We use Distance formula between points x1,y1,z1 and x2,y2,z2⇒d=x2-x12+y2-y12+z2-z12

Q: (-7)=|

A: Topic:- derivatives

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Q: Prove that square root 3 is not a rational number.

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A: Given function is fx=2x4-13x3-4x2+7x-5 We have to find f'''3

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A: find slope Given point ( 2 , 8 ) for x = 2

Q: 618 x 99 6182

A: using simple multiplication

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Q: (b) Find (f ¹)'(1) if f(x) = x² +5 sin " + cos2. (TTX) (X)

A: Solution to find the value of derivative of inverse of f(x) at x = 1 is as follow

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A: Frst is a third order partial, where we differentiate first with respect to r, then with respect to…

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Q: Consider the following functions. f(x) =x+7² g(x) x + 7 5x - 7

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A: We will find the required.

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Q: y (8x² + 11x-4) 1¹0

A:

Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

A: y=(2+x)2(1-x)3

Q: Let f(x,y) = 4√xy³²+ 4y + ex 1. Use local linear approximation to estimate. 4√ (0-1)(0-9)² + 4(0-9)…

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Q: If z is a differentiable function of x and y satisfying the equation sin(x²z+ny²) + 2x³ = yz² + 2,…

A: Let's find partial differentiation at given point.

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A: Given function, y=x2-1x

Q: SOLVE STEP BY STEP IN DIGITAL FORMAT PLEASE Derive the following functions 50. y=- 52. y=- 2-3x 5…

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A: Given data:- The given function, f(x)=Sinx     x=π

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A: This question can be solved using the concept of two point form of line and derivatives

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Q: The graph below is the function f(x) -5 -4 -3 -2 -1 -1 -2 -3 Find lim 2-2 Find lim z-2¹ 4 3 2 1 f(x)…

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A: Given; y=tan(x/3) at x=3.

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Q: 8. Sketch a possible graph of a function g, together with vertical asymptotes, satisfying all the…

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A: Topic:  Application of derivatives , rate of change     The answer is given below:

Q: y = 8e4x

A:

Q: What single deposit of size $X into a fund paying 5% compounded annually is required at t=0 in order…

A: What single deposit of size $X into a fund paying 5% compounded annually is required at t=0 in order…

Q: 1. Use deductive reasoning to show that the following procedure produces a number that is three…

A: Produce a number that is three times the original number

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A: Solution

Q: (cos x-cosy-cotx) dx-sinxsiny dy=0

A: Given :cosx cosy - cotxdx-sinx siny dy=0