(3) A wire 10 cm long is cut into two pieces, one of length x and the other of length 10 - x. Each is bent in a shape of a square. a) Find a function that models the total area enclosed by the two squares as a function of x. ,- b) Find the derivative of the function formed in part (a).

Q: If g(x) = 3x2- 4x +5 ; G(x)=x3 – 2x2+ 5x , then G is the anitiderivative of f . A) True B) False

A: Let's find. 

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A: Solution: ∫x5-x3-6xdxx2+2  

Q: f(x) = -3x³ + 8x – 5

A:

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A: Given: y''=6xand tangent to the line y=5-3x at x=1To find y'(2)=?  

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A: We need to find profit.

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A: Topic:- calculus

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A: The given initial value problem is: y''+y'+0.25y=0 ;         y(0)=3,    y'(0)=-3.5

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A: This question can be solved using line of best fit(method of least square)

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A:

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A:

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A: Given:     y = 1/x    Limit: 1 to infinity 

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A: Given that: r(t)=12ti+5cost.j+5sint.k

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Q: 11) sin-1 2.

A:

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A: Here we have to find the arc length of the given function.

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A: Follow the procedure given below

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A: Find your answer below 

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A: We know that Dx ax = ax·ln(a) Dx af(x) = af(x)·ln(a)·f'(x)   ∫ax dx = axln(a)+C   Dx loga x = 1x·ln(...

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A:

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A: We have given a function f(x) First we find f'(x) by using the definition of derivatives.

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A:

Q: IDENTIFY THE CORRECT U

A:

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A:

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A:

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A: Follow the procedure given below.

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A: We can find the answer as below.

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Q: (-1)-1 n!/3 n=1 3.

A: In this question we have to find series is converges or not.

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A:

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A: Given query is to find the the exponential function from the table.

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A: Given that: A. Derivative is the same as slope.B. A function is continuous at a number a if limx→a-f...

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A: To find what it signifies

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A:

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A:

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A: Evaluate the integral 

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A: We know that; The expression for the area of the surface revolution of y=f(x) rotated about the x-ax...