Using Reciprocal Substitution * dz . For S: zv4z+z³ Option 1 Option 2 Option 3 NONE OF THE CHOICES

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A: We need to choose correct option for limit.

Q: 6. f(x) = x* – 3x³ + 2x2 – 5x – 7 at x = - 1 8. f(x) = V3x - 10 at x = 2 10. f(x) = 6x –6 at x = 0

A: For function to be continuous  at a point x=alimx→af(x) =f(a)6) f(x)=x4-3x3+2x2-5x-7    at x=-1 limx...

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A: This is a problem of indefinite integral. Based on the general formula of trigonometry we will evalu...

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A: Explanation of the answer is as follows

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Q: dy For f vỹ+'Y = vy+/ O y = u^2 O y = u^4 O y = u^(1/2) O y = u^(1/4)

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A: Topic  =Derivative

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A: Find out the correct power substitution. 

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A: Topic = Functions

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A: Given query is to find the correct graph for the properties.

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A: We will find the exact length of the curve as shown below

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Q: c) p(n)= (5n+1)(-n² + 3) %3D d) Alr) =(1+ 2r)(2r2 – 6)

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

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A: ∫ 7e-xdx/ex ∫ 7dx/e2x ∫7e-2xdx 7e-2x/(-2) +c -7e-2x/2 +c  

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A: Find your answer below 

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A: We need to choose appropriate substitution.

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A: Given that a integration and we solve this problem by using general formula of integration.         ...

Q: Find all possible functions with the given derivative. 7) y' = 5x2 + 1 %3D

A: solution = y' = 5x2 + 1  y' = dy/dx dy/dx = 5x2 + 1 ∫dy = ∫(5x2 + 1 ) dx + c  [ yn dy = yn+1 ] y =5x...

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Q: Given f(x) = 2x and g(x) = 4x + 5, evaluate each expression. %3D (a) fg(0)) (0) r(o(글) (c) g(f(0)) (...

A: Given; fx=2x3 &amp; gx=4x+5   (a). First, we have to find g0. So, g0=40+5=0+5=5  

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Q: Given cost and price (demand) functions C(q) = 120q + 44,200 and p(q) = - 2.1q + 890, what is the ma...

A: Given: C(q)=120q + 44,200 p(q) = -2.1q +890  

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A: I am attaching image so that you understand each and every step.

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 9e dx 1+e2= +...

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