Volumes By Disk Method. Find the volume of the solid generated by revolving the shaded region about the given axis. About the x-axis: x + 2y = 2 a. b. About the y-axis: x= 3y

Q: Find the gradient of f(x,y,z) = (x² + y² +z²) Vf|(1,2,2) = Oi+Dj+Ok (Type integers or simplified…

A: ∇f(x,y,z) = ∂∂xi+∂∂yj+∂∂zkf(x,y,z)

Q: A farmer wishes to fence off a rectangular field with 1000 ft of fencing. If the long side of field…

A: Here is the solution of the given problem. Application of derivative. Maximum and minimum.  Critical…

Q: The solution set of the equation x2=12-4x is {2,6} صواب خطأ

A: The given equation is: x2=12-4x  ...(1)

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. 2. An In(n+1)…

A: 2.an=lnn+1-ln n

Q: Q6: Find the Fourier coefficients and Fourier series of the function f(x) defined by -HAXNO f(x) = 0…

A: Here, the given piecewise function is: f(x)=0; -π<x<0x; 0<x<π and the period L=2π

Q: Determine f " (x) a. f(x) = cot (4x) + csc (x) b. f(x) = sin2 (x) tan(x)

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Q: 8. 位 dx √x

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Q: Consider - 9 dx. Using rationalizing substitution, we let z = √√e*-9. √√e²-96 What will be the form…

A: The integration of the integral is √(ex-9).

Q: List the first five terms of the sequence. - 1. a₁ = 2, a₂ = 1, an+1 = an an-1

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Q: Find the volume generated by revolving about the line x=0 the area under the arch of the sine curvey…

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

A: Let's find laplace inverse of given function.

Q: f cot rda Hint: 1. Final answer should be in terms of cosecant. 2. Any constants that arises due to…

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Q: Find area inside 3 - 3 cos 0 and outside r = 3 O

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Q: Because of their connection with secant lines, tangents, and instantaneous rates, limits of the form…

A: Substitute f(x) in the limit formula

Q: 1 S √4x²-9 Ocosh-¹+C -1 -1 Osin ¹+C Osinh¹+C O None of the choices Ocos ¹+C -1 dx

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Q: The table gives the values of a function obtained from an - using three equal subintervals with left…

A: To approximate the value of given integral using left endpoint approximation.

Q: 1. Use the properties of sigma notation and the summation formulas to evaluate 138 540 136 925 10 WI

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Q: Differentiate the function and simplify the final answer. y = 2xsin x - x^2cosx

A: Given,y=2xsinx-x2cosx

Q: 13. Convert the rectangular equation to polar form. 1+1=2

A: x2 + y2 = 25 is compare with r2cos2θ + r2sin2θ = r2 so here r = 5 tanθ = x/y tanθ= 1 θ= π/4 so the…

Q: Find the determinant of the matrix, show all of your work -1 3 5 0 0 1 -2 000000 4 0

A: We need to find the determinant of the following matrix. So,…

Q: Find the volume generated by revolving about the x-axis, the area bounded by the line x+2y=2, and…

A: The area bounded by the line x+2y=2, and the x and y axis, revolving about x-axis

Q: The vertical face of a dam has a height of 50 m and width of 600m. What is the total fluid force…

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Q: y = f(x) denote the function defined as x²+x-2, if x < 1; f(x) = 1 X, if 1 ≤ x < 2; √x – 1, if x ≥…

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Q: ∞ Find the interval of convergence for n=1 The interval of convergence is a E (x − 4)" n² 3n

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Q: 5. Consider the function if x € Q f(x)= if x # Q. Show that f is not Riemann integrable on [0, 1]. n…

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Q: Use the law of cosines to determine the length x in each figure. Leave your answers in terms of…

A: The law of cosine is: c=a2+b2-2abcos C

Q: the sum if convergent. 4) 2-6+18-54...

A: In this question, we will evaluate this series and test for convergence.

Q: Find all the values of x such that the given series would converge. 8 3n (x2)(n+1) (n + 5) n=1 The…

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Q: 1- (x²1) + dy 2xy = 1 ty Cosx Ex Sinh 2- Sin(x) dy dx 3- - dy dx + 3x²y = x²x³ + 4- xlnx dy dy +y =…

A: Since you have asked multiple questions,we will solve the first question for you . If you want any…

Q: The interval notation for the set (xlx ≤4 or x>-2} is. [-2,4] A O (-2,4] BO R .CO DO [-2,4) EO…

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Q: Critiquing Reasoning 1 A = 20 8. Polly was given the following problem: Determine the order of…

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Q: Compute the indicated sin α = 15 17 cos B = cos = (a) (b) - 4 5 quantity using the following data.…

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Q: y = (x²+1)4 (2x + 1)² (3x − 1)5

A: We have to find derivative

Q: Set up triple integrals for the volume of the sphere p=11 in a. spherical, b. cylindrical, and c.…

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Q: Find the interval of convergence for the given power series. 8 (x - 4)" n(- 9)" n=1 The series is…

A: For a series of the type ∑an, interval of convergence first we find limn→∞an+1an&lt;1 and compare it…

Q: x2 Consider the ellipse + = 1. 62 In finding the area of this ellipse, use a horizontal element in…

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Q: The distance between -3 and 7 on the real line is 10. ibs O صواب

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Q: A body temperature of 50°F is placed outdoor where the temperature is 100°F. If after 5 minutes the…

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Q: Use the following function and its graph to answer (a) through (d) below. Let f(x)= 3x 6-X. x4. a.…

A: Given function, f(x)= 6-x, x&lt;4        =3x/4 +3, x&gt;4

Q: Prove the series diverges through Alternaeting Test. +∞ Σ (−1)α α1/2 α=1

A: Alternating series test

Q: The function f(x) = max x, searches for the maximum value between a number. Prove formally that the…

A: Given; f(x)=maxi .xi

Q: Plot the point with the given polar coordinates. 11π 11) 12 T 3 57 6 H 77 6 47 3 2n 3 K|2 3πt 2 TU ✓…

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Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: The…

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Q: Find all the second-order partial derivatives of the following function. w=3ye 4x²-y

A: Given :w=3ye4x2-y

Q: . y(4) + 2y"+y= (x - 1)²

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Q: 3. f(x) = = 3x² x² x+5 4

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Q: ]Find the x-intercept of the curve that passes through the point (0,2) and whose slope at (x,y) is…

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Q: Q.1/a) Solve the following integration by parts integral method fre x³ ex²+1dx 2+1dx

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Q: Find the area of the parallelogram with vertices A(-3, 0), B(-1, 3), C(5, 2), and D(3,-1).

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Q: To determine the area of the region bounded by y=x2 + 1 bounded by x=2, x= 1, y = 0, use a…

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