1 dx cos² 2x 3. 4. x² sin (x³) dx S elnvx+1 dx 5.

Q: x² - 25 The antiderivative of - dx is x2 -25 - sec-lx+ C. A True (B False

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

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

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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: xsin(x³) dxdy

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Q: Solve for the following integral: 1 -dx (e2x – 4)5/2

A: I=∫1(e2x-4)52  dxu=-2xdx=-12 duI=-12 ∫due-u-452v=e-u −4dv=-e-u du-dv(v+4)=duI=12∫1v52 (v+4) dv

Q: C.) approximate derivative; 5.) y = 2x 6.) y = x +34x + 4000

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 62" cos (2") . 6x° cos

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Q: x2+2x+17 If f (x) = then f continuous on the intervals... x²-1 (-0, –1); (–1,1); (1, 0) (-0, –1);…

A: Let's find.

Q: Write the integral that would be used to find the area of the region bounded by x = 1, y = vx and y…

A: Given: y=x, y=-x+6, x=1   From the given curves and line the bounded region is as shown below; Now…

Q: (2.) (1-(In))^ (3.) yn + sin ()

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Q: +oo Consider the power series 22n (2x – 1)". n=1 Determine the radius and interval of convergence of…

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Q: Given: an = In(n + 1) – In(n) for n e N Determine if the following is convergent or divergent. (a)…

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Q: Integral

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Q: 7. y = y5 +6y* +35x³ –5x² –100 8) y= /2x

A: We have to find the 3rd derivative of given functions.

Q: 2.x3 – x² + 2x – 2 dx x² (x² – 2x + 2) -

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Q: d -sin 6 if0 is given as dx What modifications would have to be made to find the derivative an angle…

A: We have to find derivative of given function.

Q: 6a2 + 23.x – 9 The antiderivative of f (a) = is F (x) = a ln (æ + 3|) + bln (lal) +d In (r – 1|) +C…

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Q: Evaluate: /4 * 2 sin-1 (플)-zv4-H + C A | f (x) = (В f (x) = 4 sin- (5) + xV4 – a² + C © f (2) = 2…

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Q: Integral Calculus: Trigonometric Function (3

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Q: 1Evaluate the ff. integrals using either integration by pants, trigonometric integrals , trig on o…

A: As per guidelines of bartleby, we are instructed to solve only first 3 subparts of a problem.

Q: The tangent line equation of x++y“=32 at point (2,-2) is... Persamaan garis singgung kurva x++y*=32…

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Q: 10. [ tan 0 de 12.f cos do 3

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Q: Which of the following vectors are linearly independent?

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Q: Consider the parallelepiped with adjacent edges u = 3i + 3j + k v = i+j+ 8k w = i+ 9j + 5k V Find…

A: Given;  u=3i+3j+k v=i+j+8k w=i+9j+5k.

Q: Using exact differential equation, determine the solution of: dy y-- 2x = 3y2 – 2 when y = 1 and x =…

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Q: Solve for the third degree Maclaurin polynomial of f(x) = tan(3x). Use this to estimate the value of…

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Q: 4. Find the Laplace transforms of the functions: (a) f(t) = t² (b) f(t) = t – 2e3t

A: a) f(t)=t2b) f(t)=t-2e3t

Q: Given: a, = In(n + 1) – In(n) for n e N Determine if the following is convergent or divergent. (a)…

A: Given that an =ln(n+1) - ln(n) We have to find whether the sequence ann=1∞  is convergent or not. A…

Q: бх — 8г2 — 5 dx (2л — 1)(4г2 + 1) -

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Q: full

A: We have to determine the given series is converges or diverges according to the given information

Q: Determine if the improper integral (1 e" )2 dx converges or diverges. If it converges, find its…

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Q: I. Evaluate the following integrals. •ln 2 #3. e2" sec-(e")dx

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Q: I. Evaluate the following integrals. Зx3—2х2-4х-3 dx x² (x²+x+1) 2.

A: Given: I=∫3x3-2x2-4x-3x2x2+x+1dx   As we know that; The Power rule: ∫xndx=xn+1n+1+C ; n≠-1 And…

Q: Solve the following equation: 16ª = 8ª+1 O 3 O-3 O 1

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Q: Which integral that cannot be solved by the substitution method? Integral mana yang tidak dapat…

A: Which of the integral is not solved by substitution.

Q: Find the integral ſ cos³0 sin 0 d0 . Tentukan integral f cos³0 sin 0 de. 1 cos*0 + C 4 1. O 1 -coste…

A: Let's find.

Q: Determine if the improper integral La dx converges or diverges. If it converges, find its -1 (1-e*)2…

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Q: Q3) Evaluate triple integral * dz dx dy. リェーy

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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: eries 1)" 2 + 5 rmine if the resulting series of constant terms wh ely convergent, conditionally…

A: We have to find the following conditions according to the given information

Q: 4. A1 y = 2x 2+ A1+ A2 = A3 1+ y= x2 482

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Q: Determine whether the following series is convergent or divergent full solution pls and write what…

A: The given series,          ∑n=1∞3-n4n34

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)

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

A: Use trigonometric substitution,

Q: Determine whether the following series is convergent or divergent. Vn3 n=1

A: Given problem:-

Q: Let function f interpreted as a picture below. True statement for function fis ... Pernyataan yang…

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Q: 2n + 1 n=1

A: We have to check sequence convergence.

Q: + inf 1 п2 — Зп + 2n n=3

A: