Evaluate the following limits: x2 + 4x – 12 lim x2 – 2x

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A: Just I have make the substitution and solved the given integral.

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A: The statement is  If u &lt; 0 then ∫duu=ln(-u)+C

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Q: - (sin(Inx?))² Which of the following is equivalent to the integrand of | dx? A None of the given ch...

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Q: Match the function on the left to its appropriate antiderivative on the right. Prompts Submitted Ans...

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Q: Question 13 The integral csc(0.5) dx is equal to A None of the given choices B2ln|csc(0.5x) + cot(0....

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Q: –2x x- -dx x2+e-2r A (x-e-2r) x²+e-2x xp- B -2 (х—е -2) x²+e-2x xp- e -2r dx x²+e-2r x²+e -2x D E) N...

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Q: Solve the given differential equation (4x + y- 1) da + (x - y- 4) dy = 0

A: To solve the differential equation.

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Q: Solve the following (i) |10 - 3x |  ≤ 17  (ii) x² - 6x ≥ 13

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A: topic - indefinite integral

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A: Explained below 

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Q: Vx+4 -3 3. Evaluatelim Show your complete solution. x-5 x-5 x-1 4. Evaluatelim Show your complete so...

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Q: Name: Find the Dxy by implicit differentiation of the following 2.) x³ +y3=8XY

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Q: 1 2х

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Q: +. A 2. B. E) None

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A: ∫ ex/(4ex+1) dx

Q: tan( tan3x) dx Evaluate: cos²3x A - In|sec ( tan3x)|+C 3 B -In|cos( tan3x)|+C В 3 © In|cos( tan3x)|+...

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Q: Given Cost and Revenue functions C(q)=q3−8q2+57q+5000 and R(q)=−3q2+2400q​, at what production level...

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Q: In order to evaluate the integral expression sin using simple substitution, dv =f (x)dx_ Determine t...

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Q: Find an equation of the tangent line to the curve at the given point. (Round you y = x3 - 3x, (2, -1...

A: Given query is to find the equation of the tangent line t (2,-1).

Q: If two functions F and G are both antiderivative of the function f then F(x)= G(x). A) True B False

A: If F and G both are antiderivative of f then F can be made to equal G by adding or subtracting some ...

Q: Which of the following integration expression can be transformed into integral of power (Choose 2) @...

A: To find out the integration expressions which can be transformed into the integral of power. 

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A: Since (e^4-5^π) is constant term , therefore it will come out from sign of integration not integrate...

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Q: Find f'(x) and f"(x). f(x) = (x3 + 1)e* f'(x) = f"(x) Need Help? Read It Watch It

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Q: Find x' for x(t) defined implicitly by x +tx+t° - 5=0 and then evaluate x' at the point (- 1, - 3).

A: Follow the procedure given below.

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Q: 3x3-5xe* +2xcos(x) Evaluate: dx A x3 - 5e* – 2sin(x) + C 3x4 B 5e* +2sin(x) + C 4 © x3 - 5e" + 2sin(...

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Q: secytany In 4secy +9 -dy, the integrand is 4secy +9 A True B) False

A: Here ,          we have given an integration and it's              integrand also given. Now we have...

Q: Question 12 2x2 + 2x+1 dx. x+1 Evaluate: e x² +x +1 A x+1 n|x+1| +C e 1 В x+ + C X+1 * + In|x+1| + C...

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Q: tan - 15i sech(ekan-151) dt Evaluate: T+2512 A 2 tan ,tan -15t +C 5 B -tan -le tun -Ist 5 -151 +C C)...

A: Integration