Find the limit. (a) lim x→3 Vx +6 – x x3 – 3x2

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A: Given query is to find the derivative of the function.

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A: f(x)=xx-3 , a=4

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Q: Consider the function f(x) whose second derivative is f"(x) = 10x + 10 sin(x). If f(0) = 4 and f'(0)...

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A: Follow the procedure given below

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A: Basic application of derivative problem

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Q: If {xn} is a bounded sequence on R. Prove: lim n→+∞

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A: Find maximum and minimum values of  y= 8√(x^2+1) -3x in interval [0,6] 

Q: Consider the following function. f(x) = Vx; x = 4 (a) Use any method to estimate the slope of the ta...

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Q: Evaluate the integral (@) = / cos (0) + sin(20) – 3 cos(0) sin (0) + 3 cos2(0) + 2 sin(0) COS de 3 H...

A: Evaluate the integral 

Q: Show how to use the Intermediate Value Theorem to show that the equation z – V4z = 7 has a solution ...

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Q: The number of females in law continues to show steady increases. The number of female lawyers in a c...

A: a. It is exponential function. b. F(30) =>F(30)= .834* x^1.297               =.834*30^1.297      ...

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Q: Some values for the function f(x, y) are given in the table below. x\y -3 -2 -1 1 3 7 6. 1 4 -4.1 2 ...

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Q: The equation of the plane through the point (2, 5, 7) that is parallel to the line 7(t) = 3î + 2 – 2...

A: Explained below 

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Q: Describe a function g(x) in terms of f(x) if the graph of g is obtained by reflecting the graph of f...

A: Given:- The function g(x) in terms of f(x) if the graph of g is obtained by reflecting the graph of ...

Q: Consider the graph a function f along with its inverse fI, The slope of the tangent line to the (1.)...

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Q: Find the derivative of:-6 sin(- 2x*). Hint: sin (x) [sin(x))*...so .so use the chain rule (twice!).

A: We will find the derivative of the given function.Below find the solution in the image.

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Q: Given that 2 + [* dt = 3x-1 find the function f and a value for a. (Hint: See what happens if you di...

A: NOTE: Refresh your page if you can't see any equations. . take derivative

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Q: Suppose that 5 J of work is needed to stretch a spring from its natural length of 24 cm to a length ...

A: NOTE: Refresh your page if you can't see any equations. . Natural Length=24 cm=0.24 m Extended Lengt...

Q: sec® tan Od® coso A) tane В sece sec?0

A: topic - indefinite integral

Q: Find the derivative of the function f(x), below. It may be to your advantage to simplify first. f(x)...

A: The detailed solution is given below Thank you 

Q: Find the average value of the function over the given interval. (Round your answer to three decimal ...

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