Find the limit of the following functions x 5 +3 x3−2 as x→2 X3 +4/X-4  as x→4

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A: To find:- Differential Equation of parabolas with axis parallel to x axis

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A: Plot the function:f(x,y)=2(x+y)2-(x+y)4+(x-y)24

Q: 5) Determine whether each integral is converge 16 1 a) xp= 1 b) Vx-1

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Q: . The differential equation (2x³ – xy² – 2y +3 )dx– (x²y+2x }dy = 0 is exact because ƏM ƏN %3D ôx

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Q: Ch 3.5 #10 Can you show me how to do this

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Q: Solve the following rational equations and state all non-permissible values. 3k +2 =3- 19. k+1 k-1 %...

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Q: The unemployment rate of a certain countr 5t + 301 f(t) = (0 <t < 4) t2 + 23 percent in year t, wher...

A: NOTE: Refresh your page if you can't see any equations. . here t= number of years after 2010 so for...

Q: 2) Sketch the graph of the curve with the polar equation: r=2- sin(20).

A: Polar equation of the curve is r=3-sin(2@)

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Q: On a morning of a day when the sun will pass directly overhead, the shadow of a 95-ft building on le...

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Q: 4. Homogeneous Diffe rential Equation: (r+2ry-4y kdx-(x² -8.ry-4y kdy= 0 y Use the substitution y wx...

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Q: Note: If the f(a) and lim f(x) does not exist write DNE. 1. lim f(x) = a-2 2. f(-5) = 3. lim f(x) = ...

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Q: Exact Diffe re ntial Equation: x(3xy – 4y' + 6 kdx + (x³ – 6x°y² –1\dy = 0 |

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Q: 13. (a) State the definition of the derivative of a function as a limit. (b) Use the definition abov...

A: First we define definition of the derivative of a function as a limit then find f'(x)  Equation of t...

Q: 3. Separation of Variables: x(y+1)dx+ dy = 0

A: Differential equation  Separation of variables

Q: Implicit differentiation x^2+2y^2-4=0

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Q: 7. There is a removable discontinuity at x = 1 and f(1) = 4 8. There is a jump discontinuity at x = ...

A: follow next step 

Q: x?y? dy (xdy+ydx)%3D8y%

A: Let's find. 

Q: Separation of Variable s: x(y+1)dx+ 2| dy = 0

A: Given, x(y+1)dx+(y/x)2dy=0 Separation of variables means, Seperate x  variables on dx side and y var...

Q: 69. Suppose that f(1) = 2 f'(1) = 3 f(2) = 1 f'(2) = 2 13D %3D g(1) 3 g'(1) = 1 g(2) = 1 g'(2) = 4 %...

A: By Given conditionSolve only question 69 (d)Given :c(x)=f(g(x))f(1)=2, f'(1)=3, f(2)=1, f'(2)=2g(1)=...

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Q: The velocity of an object was measured using a laser radar gun. The following data were collected. t...

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Q: SOWE THE PIFFERENTIAL EOMATIONS 3(x+ 3y-4) dy t (x -3y +z) dx = o %3D

A: First we made a homogenous equation for this we put x=X+h and y=Y+k Then we get homogenous equation ...

Q: (D3 + 6D? + 12D + 8) y = 0 when y (0) = 1, y (0) = -2 and y" (0) = 2

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Q: Direction: solve and analyze each of the following problem in neat and orderly manner. Do this in yo...

A: 7). Given: D4-81y=0 So, The auxiliary equation is: m4-81=0

Q: The equation ? + sin(xy) + C = 0 is the general solution of O y' + cos (xy) = 2 (x + y) 2 (ydx + xdy...

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Q: 2. An object is launched upwards moving on a straicht line Its height in metres, i5 given by the equ...

A: Topic = Algebra As per guidelines , At a time only three sub-parts can be answered.

Q: 40 -2 3 --10 Given the function f(x) shown above, f(x) > 0 over which intervals? Ox 2 -3 2 Ox 1

A: Given:-

Q: dx 2. Evaluate f 7+x2

A: To evaluate: 2) I=∫dx7+x2...(1)  

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Q: 5. S[(3xcos(4 – x²)) – (8x V4 – x²)]dx

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Q: +1 2+2x+x+2 20 points) Answer the following questions for the function g(x)=- a) What is the domain ...

A: a) what is domain of g?The domain of a function is the set of input or argument values for which the...

Q: 6. Find the limit of lim -3r+2x-6 Xx-4+6x+9 using table

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

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Q: o y The order of the differential equation 5x- ôʻy + 3x + w²y = 0 is ôx

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Q: 4л — 6, 2 <г -

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Q: Gra ph the following fuctions and Show domains and ranges oF them ノ- ソ= 4Cos2x 文 MiS= R-て 3. %3D 3- ...

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Q: Find the derivative of the given function. t q= tan Vi+2 dq dt

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Q: ded. Give your answers as intervals in the form (*, *). Use symbol iate type of parenthesis " (", ")...

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Q: In(rºs² Vr*s° is equal to A lnr + Bln s where A = and where B

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Q: Determine whether the series converges, and if so find its sum. 4k+2 Σ 7k-1 k=1 1) This series can b...

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Q: find all of the critical points and local maximums and minimums of each function. (d) f(x) = |æ+ 5|....

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Q: 27. y y- 1. (2. 1) (hyperbola)

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Q: nd the derivative of the function: y = 3x (6z – 5. elect one: y' = 36x – 45x² y' – 18z – 30z² y' - 1...

A: y=3x(6x-5x2)