(x – y)dx + xdy = 0. (x – 2y)dr + xdy = 0. (x² – y?)dx + 2xrydy = 0.

Q: 3 Figure 1: Graph of f 4. Each of the following is true EXCEPT: lim f(r) = 0 c. lim f(r) = +o∞ a.…

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Q: A true statement for the function f(x)=2x³-3x²+10 is.... Pernyataan yang benar dibawah ini untuk…

A: The given function is: f(x)=2x3-3x2+10 Now, f'(x)=2(3x2)-3(2x)=6x2-6x=6x(x-1)

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Q: y = [Arcsec(tan r)]ecsc 2r SC

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Q: x² +64 Using trigonometric substitution, given dx, the simplified form of the integral is= sec ede…

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Q: Using homogenous differential equation determine the particular solution of xy?dy - (x³ + y³)dx = 0…

A: differential equation

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Q: +00 (-1)" cos(g) = >. g²n for all g e R (2n)! n=0 Calculate by using the 4th degree of Maclaurin…

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Q: ax²-3 -,x > 1 х-1 Value of a and b that will make f (x) = continuous everywhere are .... (bx + 2,x…

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Q: Calculate the following limit: lim,→4 4 x-4 O -1/16 O4 O -4 O does not exist

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Q: dx e2x – 3e* 1.

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Q: Q3) Evaluate triple integral N S dz dx dy . x-y

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Q: Determine whether the following series is convergent or divergent 3- Vn (a) 2 n=1

A: The given series is: ∑n=1∞3-n4n34,an=3-n4n34, n≥1f(x)=3-n4n34

Q: log3 r + [Arcsin(5x)]³ 3

A: To find the derivative of given function.

Q: IV. Determine if the given is convergent or divergent. #3. S sin(2 tan¬1 n – n) Σ (2 tan-1n – 1) n=1

A: Solution is given below:

Q: Find the general solution of 2x². 2² + y? dx Find the general solution of (2x – y) dy 2y – x d.x dy…

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Q: EVALUATE THE LAPLACE TRANSFORM OF THE GIVEN FUNCTION USING APPROPRIATE THEOREMS. f(t) = t? cos 2t.…

A: Answer is in below steps.

Q: If f(x)=sin(sin x) then f'(0) is .. Jika f(x)=sin(sin x) maka f'(0) adalah ... 1. O -1 2. O 1 3. O 0…

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Q: Given cos(x) = (-1)" n=0 (2n)! -x2n for all x ER, Express the integral cos x dx as a power series.

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Q: m m 2m + 1. m=1 т m 2m + 1 m=1 Do the following converge or diverge?

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Q: Evaluate the Inverse Laplace Transform of the given functions. 4 1. F(s) 3s2+1

A: According to company rules, I need to solve first question.. Please repost second question

Q: Express the integrand as a rational function and then evaluate the integral. x - 4 dx Jo x² – 5x + 6

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Q: The thickness of the shell is a = 0.5 centimeter. Use differéntials to approximate the volume of the…

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Q: Given the differential equation xy y'=2 and the initial condition y(a) =3, what is the the value of…

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Q: A thermometer is removed from hot water at 100° C into a room at 20° C. The temperature difference D…

A: Answer should be 20.254°C.

Q: derivative of f(x, y, z) = x + z at P(6,5,-5) in the direction from P to Q(5,7, -4). NOTE: Enter the…

A: We can solve this as follows:

Q: z = If X – y show that: =D0

A: Given: z=xyx-y And x2∂2z∂x2-y2∂2z∂y2=0   As we know that; The Quotient rule; fg'=f'·g-g'·fg2 The…

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

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Q: State difference between Roll's Theorem and Lagrange's Mean value theorem.Is the Roll's theorem true…

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Q: Sketch the region in the plane consisting of points whose polar coordinates satsfy the given condi-…

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Q: Q3) Evaluate triple integral S S dz dx dy . x-y

A: ∫02∫0y∫x-yx+y dzdxdy ∫02∫0y [z]x-yx+y dxdy ∫02∫0y(x+y - x +y)dxdy ∫02∫0y 2ydxdy ∫02 (2y)[x]0y dy ∫02…

Q: 1 In solving the antiderivative of f(x) = 2- 3sin(x) by miscellaneous substitution, the substitution…

A: Given: fx=12-3sinx To find: ∫f(x)dx We know that, sinx = 2tanx21+tan2x2

Q: 2. Use integration by parts to evaluate the following. (a) Sx tan- x dx

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Q: 0/ using the test comparing the series Enas n?_2n-3

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Q: ********** . ...... Analyze and sketch a graph of the function. Find any intercepts, relative…

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Q: A mass on a spring undergoes an external forced vibration given by 6 d'x =-12x +3cos(2at). 32 dr…

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Q: GIVEN THE FOLLOWING POWER SERIES REPRESENTATION BELOW: x4 + 4! Cosx = 1 - + 6! .. 2! (-1)"x2n (2n)!…

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Q: y = log v2x + 5

A: i have provided this answer with full description in step-2.

Q: Find Duf at P. 1 1 f (x, y) = 5(4+ xy)3/2; P(3,4); i+ j и %3 V2 NOTE: Enter the exact answer. Duf =

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Q: 2 f(x) ; а3D0, Ь%3D1 1+ x %3D

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Q: 3. 2+ 1+ +++ ++ + 2m -2m

A: Answer : y=5sin(x/3)

Q: Find and d²y then simplify whenever possible. dx dx² 1) у %3D 3t5 — 2t x = 4t3 2) y = t-3 – 7 x = t²…

A: As per the request of student 4th and 5th answer has been provided. This question can be solved…

Q: ¥2/3 6. cos'x sin x dx 5.

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Q: ( 3x2 + 1, { if r 3 а. —8 b. -18 с. 18 d. does not exist

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Q: x² +64 Using trigonometric substitution, given dx, the simplified form of the integral is: x2 […

A: Use trigonometric substitution,

Q: I. Evaluate the following integrals. 1. / 20- dx 2 x)5/2" x(9 – In².

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Q: Evaluate the integral ſ xe²" dx; * dx; u=x, dv= e²ª dx using integration by parts with the indicated…

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Q: Using Lagrange multipliers, find three positive numbers whose sum is 6 and such that the sum of…

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