2. Answer C/DC a. lim f(x) x2 b. lim f(x) X-2+ c. lim f(x) -3 -2 -1 -1 X-2 d. lim f(x) -2 X-5 -3 e. lim f (x)

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A: We know domain of log(x) is (0, infinity)

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A:

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A: We know that, Distance= √((x2-x1)²+(y2-y1)²) Mid-point= ((x1+x2)/2,(y1+y2)/2)

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A: Basic application of derivative problem

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A: Given; ? is the branch of science that deals with the collection, organization, analysis, interpreta...

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A: Given: V= 500(0.04 - x2 ) for 0≤x≤0.2

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A: Given:

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A: D'(x)=-2200x25-x2Integrating ∫D'(x) =∫-2200x25-x2dxD(x)=2200∫-x25-x2dx=1100∫-2x25-x2dxusing formula ...

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A:

Q: 2. Find the volume of a cylinder with a radius of r and height h by integration.

A: Radius : r Hight : h

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A:

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A:

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A:

Q: п — 1 - sin" xdx sin"-2 xdx. n

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Q: ne integrals might seem complicated. But they will simplify significantly if you look at m in the ri...

A: Numerator Cos3 θ+ 2 Cosθ sin θ  - 3 cos θ Cos θ(Cos2θ + 2 Sin θ - 3) Cos θ(1-Sin2θ + 2 Sin θ - 3) Co...

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A:

Q: On the graph of f(x) = cot x and the interval 27,47), for what value of x does the graph cross the -...

A: We can find the answers as below

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A:

Q: 2 Can the Fundamental Theorem of Calculus be used to find /. L dx? 6-x 6-x O Yes, f(x) = is continuo...

A:

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A: Volume=13π15 cubic units

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A:

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A:

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A: The given differential equation is y''-8y'+16y = 24x+2 We have to solve differential equation by met...

Q: Integrate the function. S dt o. O. V6-R+ sin'1 6t + C 6t o. + C 612 o. 6t 16-12

A: We can find the integral as below.

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A:

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A:

Q: 5. Some integrals might seem complicated. But they will simplify significantly if you look at them i...

A: We know that the trigonometric identities; 1). sin2θ+cos2θ=12). sin2θ=2cosθsinθ And ∫1ax+bdx=1alnax+...

Q: What is the critical point of the function f (x) = cos x?

A: what is the critical point of f(x)=cos(x)? for critical point, f'(x)=0

Q: The count in a bacteria culture was 800 after 15 minutes and 2000 after 35 minutes. Assuming the cou...

A:

Q: 6

A: 15×6This is a multiplication of two numbers 15 and 6.

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A:

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A:

Q: For the differential equation: (D³ + D² + 4D + 4)y = 0 when x = 0, y = 0,y' = -1, y" = 5 %3D %3D %3D...

A: Here we have to find the solution of differential equation.

Q: Draw the graph of the following functions and give the domain  and range of each.

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Q: Find the value of Q – 7.65 = (0.002083)(10) (00,1.85(0* 4.6 14.8665

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Q: Solve the non-homogenous differential equation below dy 2y + x - 3 dx y + 2x – 3

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Q: solve

A:

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A: To find the equation of the tangent line at the point (a,f(a)).

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A: We are asked to find the which one odd

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A: Given: f(x,y)=1x+y

Q: - 10 тх — 12 x2 + 3x – 2 if x > if x < Let f(x) = -10 If f(x) is a function which is continuous ever...

A: