Using f(x)= 3x-2x+2, find and simplify the difference quotient S(x+h)- f(x) 2)

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A: limx→-2x2-x-4x2-2

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A:

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Q: f(3) - f(-1) f(x) = 4x² - 3x +2

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Q: lim    (5e2x-3e-4x)/(6e2x+2e-4x) x → −∞

A:

Q: 2) f(x) = -5x² + 3x -7, find: f(x + h)- f(x)

A: According to the problem, we have

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A:

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A:

Q: lim (2 - Vx +2)

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Q: Find the limit L.

A: limx→-2 4x+5

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Q: lim (Vx2 +2x-x) ズ→

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Q: السؤال الثاني |4-x Vx-1 Find the domain of y = - 2 3+x| x+5

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Q: using f(x)=(3x)^2-5x-12, find f(-3)

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Q: Solve y''-y'=xex using reduction of order. do not use formula.

A: Given: y''-y'=xex To find: Solution of given differential equation using reduction of order method.

Q: lim r2 -7x-18 x-2 x+2 ||

A: To find: The limit of . Calculation: The limit of can be obtained as, Further simplify as follows:

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A: limx→1+1-x31-x2

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A: Given

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Q: Find y" for = x^2/x^2−2 , you must use quotient rule

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Q: Lim            [4(2x-1)2-196]/(x+3) x-&gt;-3

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Q: lim (x-7x – 2x+5) is infinity. |

A: Topic = Limits

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A: use L'Hospital rule to solve given problem...

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Q: lim ((6x + 2) (3x² – 3)) = x-6

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Q: Lim Nx-2 X→2_×<ー4

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Q: lim→−2 x^2+4x+4

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Q: lim *2+x-6. x²-4 2–4 is x-2

A: If we put the value of x as 2 in the given expression, The form will be 0/0 Because 0/0 is of…

Q: lim Vx3 + 5x2 -10x + 25 10. *-4

A: The given expression is limx→ -4x3+5x2-10x+254

Q: 2. lim f(x) = x2– 4x +4 X Use the domain [-9,6] to draw the graph. х -2

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Q: lim (Vx2 + 9 –

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Q: Use Chain rule; Differentiate  =x^2(x-1)^3(2x-5)^2

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Q: Lim メ、+x-2 -『 メ -→1 2ナ+ メャ2

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Q: Using the definition f'cx) = lin fCxth ) -fw find f'C4) when fex)=-ax² +3x -7 3. ニーa×

A:

Power Operation

Power operation is topic of algebra in Math. It is use to represent repeated multiplication. Very big number and very small number can be easily express using power operation. Power operation is useful in many fields. In space engineering, it helps in representing the distance or size of particular heavenly body. In medical field, it is used to represent very small size. In medical field it helps to mention size of bacteria or virus. 

Exponents

The exponent or power or index of a variable/number is the number of times that variable/number is multiplied by itself.