2. Using midpoint approximations find L,h(x)dx given the table below: -2 -0.5 1 5 7 9 h(x) 4 7 1 6. 3 2. 3.

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A: To find- slope of the tangent line.

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A: We have to find the equation of the tangent line to the graph of F(x)=∫sechx2x2+2x+1eydy at x = 0.

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A: The solution is given as

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Q: Now recall the general version of the power rule, where n is any real number. d = nx" – 1 dx…

A: Basic derivative problem

Q: I FIND THE INDICATED DERIVATIVE IN ITS SIMPLIFIED FORM: 3x-2 1. Z=. ;d'z/dx? (x-1)2 2. Y= (2 – x³ )5…

A: Given: 1. z=3x-2x-122. y=2-x353. y=2x+125

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A: Differentiation: A.An antiderivative of y=-3That means integration of -3Therefore that will…

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A: Given:- 4x2+xy+2y2-14=0 To find:- dy/dx at point (1,2)

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A: Given,x=t+ety=1-et

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A: Given, y=x2+13 We can write given function as, y=x2+12x2+1 Now by using the chain rule,

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A: Given- 3x2+xy+2y2-39=0 To Find- The value of dydx at point 1,4.

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A: Numerical differentiation: Numerical differentiation is the method of evaluating the derivative of a…

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A: Question- Assuming that the equation below defines y as a differentiable function of x, find the…

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Q: Using the Power Rule Find the following derivatives.

A: Consider the following expressions: ddx9x5=ddx9x-5=9×-5×x-5-1=-45x-6=-45x6…

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A: A detailed solution is given below

Q: ンポー、さーポナス 2 an equction of the line tangent too X=t-1 y=t+t the point corresponding Find at to t=2,

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Q: 2. Using midpoint approximations find L,h(x)dx given the table below: -2 -0.5 1 3 7 9 h(x) 4 7 1 2 3…

A: Formula : The midpoint approximation uses the midpoints of a subinterval…

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Q: f(x+h)-f(x) = lim 1. Use the delta method, dx for the following: dx to find h0 2 BONUS MARKS y = 5x2

A: We will use the definition of derivative as defined in question.

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Q: 3) Find the slope of the curve defined by f (x) = x° sin x at x = T. 4) Differentiate g(x) = e* .

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A: Solution:

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Q: 3 dK Use the definition of the derivative to find for the function K(z) %3D dz 6z + 1"

A: