ut. AW O Lim tanx Lim X: CSc Jzx メラ。 メーラク のLim 5→の 6 Lim 16-X + 1x1 メーラマ Sinx 3 Lim 3-→ yテンネマ4 のLm( メっを COSX CosX Lim1+ Cos文 (8) Livm a-a-スナa メーd メ→の メー 4

Q: Solve for x. 7 49°

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A: I have given the answer in the next step. Hope you understand that

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Q: ース e-*dx |4+e-2x

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Q: 4-x lim,.

A: The given limit is limx→∞4-xx

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Q: 4. A line segment L passing through the point (1, 1) has its endpoints lying on the x-axis and…

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Q: (26ー1) 不t8

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Q: Limit メ+5 メ→-5 |Jx-っ-4

A: To findlimx→-5x+5|x2-9|-4

Q: etch ソ=+2 エー1 2) y=ド--2

A: We have to sketch the given functions.

Q: Lim X:ċśc JzX メー。

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Which equation has the same solution as x² - 10x - 14 = 4? O(x - 5)² = 43 O(x + 5)² = -7 O(x + 5)² =…

A: The quadratic equation is given as x2-10x-14=4 Simplifying this we get  x2-10x-18=0

Q: 1- yli+zy=2e

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Q: In writing your final answer, follow the format 2x^5y-3x^3ye^(x)+x^3-2y^2=0. Strictly no spaces…

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Q: Using the Determination of Integrating Factor, find the general solution of the differential…

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Q: Qu/Find 1.00 e 2.00 e ス→」 メ-」 2-lim メ-> 3.00 e 2X +4 4.00 e lim Sinex 3 - メーラ x+3X 5.00 O

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Q: Which equation is the general form of (x−2)2−(y+5)2=18?   x^2−y^2−4x−10y=1   x^2−y^2−4x−25y=11…

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Q: 9. Simplify sec² x - 1 sec² x

A: secx=1cosxI=sec2x-1sec2xsin2x+cos2x=1

Q: ツ End ly rー tanx Dソ= (mnx) cotx ナ (cotx) %3D

A: We differentiate the function using logarithms.

Q: fim Sin (x-1) メキX-2 2

A: We have to evaluate limx→1sinx−1x2+x−2. If we substitute the limit then it is of the form 00, which…

Q: 04 Evaluat the allowing Limits メニ1 Lim メー→」 メート Lim 4メー2x+ 3x-5 メー

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Q: 4. Zero of more of the following statements are true for all real numbers a, x, and y. For each…

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Q: sInx sint de 2.

A: Indefinite Integration

Q: lim ×ャ6x+ メー

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Q: Let F = (2yz – 3x) i + (3xz + 3y) j – (2xy+ ∞z) k. Find div F and curl F.. |

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Q: y" – 25y = 0

A: Given: the given differential equation is y'''-25y'=0

Q: -limx¬o 6x cot3x

A: Explanation of the solution is given below...

Q: Using the method of the Determination of Integrating Factors, what will be the function M(x,y) when…

A: The given equation is    [3x^2e^(y)-2]dx + [e^(y)+2x]dy = 0 . . . . . . . (1)  Comparing with the…

Q: Let A = {1, 2,...,: 10}. Find the closure and the interior of A in the following topo- logical…

A: In mathematics, topology is the study of the properties of spaces that are preserved under…

Q: 5. Lin メキa メー→へ メ-a

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Q: Ql Find the Ligit hor the hollowing fun drogs mlim -2x-4 メ→-2 ×3+2メー 2 lim 4-x メ→タ 5- g to

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Q: Find the GCF and LCM for the following terms: 15x*y°, 24x*y°, 3x°. O LCM: 42x1y GCF: 6y O LCM: 6y?…

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Q: 2. y=2 x - x+ 3 x' + x? + 5 - 2x- 3. y

A: solution:-(2) y=2x2-x+3x-1+x-2+5dydx=ddx2x2-x+3x-1+x-2+5     =ddx2x2-ddxx+ddx3x-1+ddxx-2+ddx5…

Q: For each ODE with non-constant coefficients, use the given homogenous solution to find a particular…

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Q: スメ x -x X+ -X-x スX-2y X-1 dx-1 う- X X-1 うX 1よ も 4x 4x X ー× X-1 ヒ う ーり う ー2メ a.) Find 21 p) find vi2.

A: