2log, x-log, y+log, z

Q: The following integral will be evaluated using integration by parts with the indicated choices of u…

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Q: (5) Σ.1 η=1 η! 102n-1

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Q: Calculate the volume of solid of revolution when the region bounded by y = sin 2x and x² - y2 = 0 is…

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Q: T -2 -1 4 3 2 - -3 1 3. From the above graph of y = f(x), find the following limits: (a) lim f(x) =…

A: (a)  limx→-4f(x)=2   (b)  limx→-3f(x)=-2   (c)  limx→-2f(x)=-3   (d)  limx→1f(x)=infinite

Q: Find the volume of the region bounded above by the plane f(x,y) = 6x +2y + 25 and below by the…

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Q: y = lnx and x-y-4 = 0

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Q: find the centroid of volume if the volum is equal to 7/15 π

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Q: Evaluate the integral. 1³w² in w² In(w) dw

A: We will solve the integration

Q: Find the unit tangent vector T(t) at the point with the given value of the parameter t. r(t) = 4√ti…

A: To find the unit tangentvector Tt at the point with the given value of the parameter t.rt=4t i+3t2…

Q: arbor during a certain 24-hr period is approximated by the function 2]. + 7.9 (0 ≤ t ≤ 24) esponds…

A: The rare of change of a function f(x) at x=c is f'(c)

Q: Sketch the region enclosed by y = 3x and y = 5². Find the area of the region.

A: find intersection

Q: Find an antiderivative F(x) of the function f(x) = 4x² - 6x +5 such that F(1) = 14. F(x)= (Hint:…

A: Solution is given below:

Q: Given cos(x) = 2 on the interval [0, 2π], what is the value of x?

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Q: Find dy/dx of the following: a. y=sinh-5x b. y=sinh-e* c. y = cosh¹ √√x

A: To find dydx for the given y.

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: Question 13 Find the area of the region between the graphs of y=10-2² and y=-3z-30. The area is

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Q: Let C be any curve from (0, 0, 0) to (4, 7, 2) and define a vector field F(x, y, z) = (y cos xy, x…

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Q: 2 cosh x +losion2x = 5

A: I am attaching image so that you understand each and every step.

Q: Evaluate the definite integral. 1 ex dx 0 1 + e²x JO

A: We will solve the definite integral.

Q: 10 d sinhx = coshx Q3: A. By power series, prove that: dx

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Q: 412 Evaluate the integral (x² + y² + z²) dz dy dx. SSS 000 412 SS S (x² + y² + z²) dz dy dx = [ 000…

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Q: find differential equation of the following equation 1) y' = -x y+x

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Q: Differentiate and simplify this function h (z) = (ez - 1)1/2

A: Given function is: h (z) = (ez - 1)1/2

Q: The price per square foot in dollars of prime space in a big city from 2010 through 2015 is…

A: According to Bartleby guidelines I can only answer the first three questions given.

Q: The components of vectors A and B are given as follows: A=5.1, A = -5 X y B-2.6, B = -4.3 X y What…

A: We have to find magnitude of vector sum A+B.

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: 8 Find the area bounded by y=-, y = 2x, y=0 and x = 3. X Using vertical element, what is the…

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Q: √√3+ rdr then 0 (2)=√√3+230 I X

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Q: Find an antiderivative F(x) of the function f(x) = - 2x²5x + 2 such that F(0) = - 15. F(x) = Now,…

A: On solving this we will get

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

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: Determine the equation of the ellipse with center (-2,-4), a focus at (-2,5), and a co-vertex at…

A: Given:        center =-2,-4        focus =-2,5        co-vertex 10,-4 Equation of Ellipse is…

Q: 1. f(3x + 1)¹5 dx 2. f(8x³ + 2x² - 1)7 (6x² + x) dx x-2 3. f dx √50-5x3

A: LetI=∫(3x+1)15dx put  u=3x+1differentiate du=3dxdu3=dxThereforeI=∫u15du3Take constant…

Q: 1.) Use Green's Theorem to evaluate the triangle with vertices (0,0), (1,2), and (0,2). $4x² ydx +…

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Q: D is the region enclosed by the parabolas z = y²-9 and 2 - y² +9.

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Q: et the vector v have an initial point at (-6, -2) and a terminal point at (-6, 2). etermine the…

A: Finding the vector V

Q: Find the derivative of_h(x)= (3x+4)³ (-3x-2)

A: NOTE: Refresh your page if you can't see any equations. . take derivative use the quotient rule…

Q: Question 4 A 3 2 1 2 3 4 To find the blue shaded area above, we would calculate: [ f(x) dx = area…

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Q: Differentiate and simplify this function g (y) = y3 / ln(2y)

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Q: Find and sketch the domain for f(x, y) = ² 2x-14y²

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Q: EXAMPLE 1(DISK METHOD) Find the volume of the solid generated by revolving about the x-axis,the…

A: Given problem:- EXAMPLE 1(DISK METHOD)   Find the volume of the solid generated by revolving about…

Q: Question 13 Which of the following satisfies the differential equation d² y dx² A. y = e³r B.y=e-3x…

A: Explanation of the answer is as follows

Q: Calculate the volume of solid of revolution when the region bounded by y = √x - 2 and x-3y - 2 = 0…

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Q: 6 300 m 10. Cleatus, owner and operator of ACME Golf Inc., has a scheduled appointment at…

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Q: find Sexcos'x dx by using integral by Parts.

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Q: Shaw that is the function defined by xy f(x, y) = √x² + y² if O differentiable at not derivatives.…

A: Here in this question, we need to prove that the given function is not differentiable at the origin…

Q: Sketch the region bounded by the given lines and curves. Then express the region's area as an…

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Q: lim x→n x²_n² x-n = 10

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Q: Let f(x) be a function given by f(x) = (a) Prove whether f(x) is a Dirichlet function. (b) Find the…

A: Given

Q: Calculate the area and show the graph of the curves:

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Q: Calculate

A: Please refer to the image below