+0 (-1)"n" sin' Σ n 2n n=1

Q: Find y' if 3x2- (ry?) = 2y.

A: y' = ? 3x2 -(xy2)1/2 = 2y3 3x2 - x1/2y = 2y3 differentiate with respect to x 6x - y/2x - xdy/dx =…

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Q: 6. Find dy/dx and simplify y sin = - х

A: According to our policies we are allowed to solve one question at a time so kindly repost other…

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A: Please see the answer below.

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A: Let's find.

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Q: (x+ 1)" of constant terms when x= 0 cent.

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Q: Show clear and detailed solutions • Determine and draw the graph of the following equation in R3 :…

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Q: A rectangular poster is to contain 338 square centimeters of print. The margins at the top and…

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Q: 4x + 1 dx Jx3 + 3x2 - 6х -36 2.

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Q: 4 En=1 3 3n

A: The summation of 4/(3n-n1/3) , n from 1 to infinity.

Q: In(arctan(x)) dx 1 + x2 1

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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: 1-5 by Partial funtron x-16

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Q: 4х —Зx2+2х-1 Solution of lim is .... хэ0о 5x3+14x2—7х+2 4x5—3х2+2х-1 Nilai dari lim adalah .... х>0о…

A: The given limit is: limx→∞4x5-3x2+2x-15x3+14x2-7x+2

Q: I 3n O The region bounded by y = sin x and x- axis on the interval [-

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Q: The task is to evaluate the function using reversed order of integration. •1 eee-x dx dy 1 Jlny

A: Change of order.

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

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Q: Consider h(x)= {3x^2 +1, if x3. What is h'(3)?

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

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Q: y = (cos COS T 4x5

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Q: A. LIMITS Limr - 25 1.) lim VE – 2 2.):-4t-4 x-5 x-5

A: Here we have to find the limits.

Q: Silerch the graph of the . given polarequations

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Q: п(х — 2)" 3" (2n – 1)3* VI. Consider the power series n=1 a. Show that the power series converges…

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Q: Solution of lim (Vx² +1 – x) is ... x→ 00 Tentukan lim (vx² + 1 – x) x→00 1. O 1 2. O infinite 3. O…

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Q: Let g be a differentiable function of x, and let the range of g be an interval [a, b]. Let f be a…

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Q: 8. Find the derivative of (logsx?). dx 2 A. x In 5 1 В. x In 2 С. x In 5 D. 2x In 5

A: Solving the problem by finding the value of the derivative. For the question no 8. Option A is…

Q: The plane N contain the points P(1,–4, –5) and Q(2, 1, –3). Moreover, it contains the line 1 3 -x =…

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Q: 6. Use Laplace transforms to solve the initial value problems: (a) x" + 9x = 0; x(0) = 3, x'(0) = 4…

A: Given x''+9x=0, x0=3, x'0=4

Q: x2-9 If f(x) = then f (x) discontinuous at x= 3 because..... x-3 x2-9 Jika f(x) = fungsi f (x)…

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Q: 0 e1/x dx

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Q: etermine if the given is convergent c sin(2 tan-1n – T) Σ (2 tan-1n – Tt) n=1

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Q: + inf 1 Σ п2 — Зп + 2 n=3 W

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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: Solve for the general solution of the following differential equation and determine whether it is…

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Q: = > Σ 5. For all x E R, e* п! Express f (x) = x²e* as a power series. b. Find the third-degree…

A: We have to solve questions based on Series .

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Q: If xy? + yx2 - 2= 0, then dy/ dx =.... Jika xy2 + yx2 - 2= 0, maka dy/ dx =.... 1. О…

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Q: .. ...... .. .. ... .... The formula for the volume of a cone is given below. Find the rate of…

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Q: The region R is bounded by the curve with equation y = sin 2x, the x-axis and the lines TT x = 0 and…

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Q: Determine if the improper integral converges or diverges. If it converges, find its value. In dx

A: Here we have to integrate the given problem.

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

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Q: Find the sum of the convergent series. 1 n vn + 1. n=16

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Q: Find the general solution of the given system. dx бх — у dt dy = 5x + 2y dt (x(t), y(t)) =

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Q: x3 + 4x2 - 2 dx Ix? (x² + 2x + 2)

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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: Determine the third degree Maclaurin polynomial of f(x) = tan 3x. Use this to approximate the…

A: The given function is; f(x)=tan(3x).

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

A: