Integrate (three) of th 1) f sin6x cos3x dx 4) [x² (1+¹)4 dx

Q: 5 -5 g(x) dx

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Q: Evaluate the iterated double integral √1-x² _L [ ³²-x² sin (x² + y²) dz dy dx

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Q: Determine the thirteenth term in the sequence whose nth term is an= -6n a. -66 b. 19 c. -78 d. 94

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Q: Evaluate the integral dx (x + 1)(x² + 1) Sz

A: The integrand can be written as:…

Q: 2. Find the Maclaurin series of f(x) = tanh ¹x

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Q: Q3: Find the solution of the Laplace transforms of the following functions: -3s²-12s-87 1) L-1…

A: Given problem:- Find  L-1[(-3s2 -12s-8)/(s+2)3]

Q: 1. Evaluate the following limits: 4. lim x→2 sin(4x-8) 4x-5x-6

A: Ans - In this question, we will find the limit of the given expression.

Q: Use polar coordinates to find the volume of the given solid: Insider the sphere x² + y² + z² = 16…

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Q: Integrate the given series expansion of f term-by-term from zero to x to obtain the corresponding…

A: Integrate the given series expansion of f term-by-term from zero to x to obtain the corresponding…

Q: Using Ratio Test the following series +∞ (n!)² Σ 3n n=1

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Q: y = 2 sin (20+ 4π 3 ^

A: Given query is to find phase shift.

Q: Let f(x, y) = 2x and C be the line segment on the plane from (0, 0) to (3, 4). Evaluate the line…

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Q: What is the subtraction of Vector M from Vector T? M = 5 units T= 4 units

A: Solved below

Q: Determine the equation of the ellipse with center (7, 1), a focus at (2, 1), and a vertex at (-6,…

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Q: 1 Find the first five non-zero terms of the Taylor series for f(x) = - X Written compactly, this…

A: Taylor Series for f(x) centered at x=a is given by f(x) = f(a) + f'(a)1!(x-a) + f''(a)2!(x-a)2 +…

Q: Find the average of the given function on the given interval. (a) y = cos x, [0, 3π/2] (b) y = x² +…

A: a) y=cos x, 0, 3π2b) y=x2+x+1, 0,1

Q: 3.4, 4.1) 1. Let f(x)=x²+2x+10. (a) Find the average rate of change of f with respect to x on the…

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Q: B. For the figure shown below, find the sum of the areas of all the semicircles. 47

A: I am attaching image so that you understand each and every step. Answer is 227π512 square unit

Q: Consider the series an +∞ n=1 and Et bn where cos(+) an = and bn = n3 n3 Since an 2 b₁ and 1 b₁…

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Q: Determine all the critical numbers of f(x) = sinxcosx.

A: Determine all the critical numbers of   f(x) = sin(x)cos(x)

Q: O -2 -2 Convert the given polar coordinates to rectangular coordinates. (x, y) = (b) Graph the point…

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Q: Evaluate the iterated integral. 14 Sxy ex dy dx 03 14 SSxy ex dy dx = [ 03 (Type an exact answer in…

A: Topic = Integration

Q: What is the equation of the given ellipse? Y (-3, 2) (-1,-1.5) X

A: Graph of the ellipse is given, we have to find its equation.

Q: A geometric series has S3=37/8 S6 = 3367/512 Find the first term and common ratio

A: Given, S3=37/8  S6 = 3367/512

Q: An object is placed outside on a cold day at time t = 0 minutes.  The temperature of the object T(t)…

A: Given, An object is placed outside on a cold day at time t = 0 minutes.  The temperature of the…

Q: 5 2 To-4x 1-1/1/2 5-2x (67²) dz dy dx

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Q: 21) f(x)=47x A) (4 ln 7)47x Write summation notation for B) (7ln 4)47x x(In 2) C) (In 4) 47x x(In x)…

A: Finding the derivative of f(x)

Q: (d) √ ² (3 (3 − z)(3z + 1) dz. 0

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Q: Solve the problem. The velocity of water ft/s at the point of discharge is given by v- 12.80/P,…

A: Given; v=12.8√p, pressure=20.00 lb/in^2

Q: A company produces a special new type of TV. The company has fixed costs of $454,000, and it costs…

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Q: Convert x = = ln(2t) and y = 1² from parametric to rectangular form. 2

A: Given,  x=ln(2t) and y=12t2

Q: The trough in the figure below has width = 4 ft, length L = 10 ft and height h = 5 ft. (Click on the…

A: We need to find force and work.

Q: Q3: Find the solution of the Laplace transforms of the following functions: -3s²-12s-87 L-1 1)…

A: Let's find inverse laplace 9f given function.

Q: 4- XLnx dy dx +y=zLnx

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Q: Given the graphs determine the integral to find the volume, if it is rotated about the x- axis (1,…

A: We have to find the volume.

Q: If a parabola's focus is at (-2,5) and directrix is at y = -1, what is the vertex form of the…

A: The correct answer is option (2).

Q: Prove that x + 3 is odd if and only if x² is even.

A: Proof: x+3 is odd  Let x+3 = 2k+1

Q: A boy is pushing a box with a force that can be described by the function: (x) = x³ — sin 2x + 1,…

A: The answer is given below using the formula:  W = ∫abF(x) dx where W is work done and F(x) is force…

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) cos(In(5t)) dt t

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Q: Integrate the given series expansion of f term-by-term from zero to x to obtain the corresponding…

A: We have to find the series.

Q: its wrong please re-provide

A: This question can be solved using integration by substitution.

Q: Find the general solution. ورم

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Q: Find the area of the region bounded by y = x³ - 8 the x-axis and the y axis.

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Q: 8 = sin² shown in = Which of the following expressions gives the total area enclosed by the polar…

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Q: State what the dot product of two non-zero perpendicular vectors is. Justify your response.

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Q: drug is administrated intravenously of the object iver 1. the time interval [3,8] Use definition of…

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Q: Work through the following steps to evaluate S. ( (x² + 4) dx. a) We know that a = and b = b) Using…

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Q: 3) Find dz dy for z = e

A: Solution: As per given date   z=exy  For finding dz/dy , we assume that 'x' is a constant.

Q: 36. If cos(30+y)-- A) B) which would be sin(30-y)? C) pr D)

A: Topic:- trigonometry Note:- as per our guideline if more than one question uploaded than only first…

Q: Using Integration by Parts. [x¹e xn ex dx is equal to xnex +nfx-1e* dx xnex - nf x¹ ex dx the above…

A: The integration by parts formula is,    ∫u v' =uv - ∫v u'