Find the area of the surface generated by revolving about the y-axis the part of the curve x2 between x=0 and x=1. y

Q: Use the inner product (f,9) = f(z)g(x) dz in the vector space C"0, 1] of continuous functions on the…

A: It is given that fx=-5x2-3 and gx=9x-7. We have to evaluate f, g, f, g and αf, g where αf, g is the…

Q: for fa(a, y), let flg(2)) = (2² + y*)! %3D fa (2)%3D (2r)D %3D 2V + y2 3z (0) (i) (ii) 33z+y for…

A: We have to calculate the partial derivatives.

Q: PROBLEM A. f"(t) + 3f'(t) + 2f(t) = 0 where, f(0) 1 and f'(0) = 0

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Q: What properties of Fourier Transform best describe the equation below? F[S(-x)](@)= (-@) O Linearity…

A: Given, Fourier Transform equation,Ff-xw=f-w To find: Which property of Fourier transform describes…

Q: 6. In the diagram shown, altitude AC is drawn from a right angle to BD in such a way that BC:DC =…

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Q: 7. If L' { f(p)} = F (t) then L' {f( p - a) }is : c) (1/a)F (t/a) d) t"F (t) a) eat F (t) b) (-1)"t…

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Q: (1) Determine whether or not the function u(t) = sin(2t) + cos(2t) is a solution to the differential…

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Q: Let f(z) = -7, g(z) = -3r -9 and h(z) = 8z. Consider the inner proouct (P.e) = Pz)q(=) dz in the…

A: The solution is given as

Q: Suppose that you borrow $17,000 for four years at 6 ​%  toward the purchase of a car. Use PMT equals…

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Q: Solve the following LPP problem using the simplex method: Mazimize z = 2x, + 3x, + 4x, [3x, + 2x, –…

A: To solve a linear programming problem by simplex method the component of the right hand side vector…

Q: Suppose that the first P300,000 income earned is not taxed at all, the next P500,000 earned is taxed…

A: “Since you have asked multiple questions, we will solve the first question for you. And as the 2nd…

Q: If W is a subspace, then ||projwv||² + ||v – projwv||2 = ||v|?.

A: Given W is a subspace of a vector space V. Now projWv denotes the projection of vector v onto the…

Q: Find the sum of the first n terms for the geometric series. 3-6+12-24., n=D6

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Q: x-1 y+3 12-z Consider the following lines defined by I,: and l2: 9. =- %D 7 x = 2t + 10, y = 5t, z…

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Q: why you write: s=0, t=0 s=1, t=1  instead of using cross product imediately between 2 vectors…

A: The vectors (1, 0, 1) and (1, -1, 0) are direction or orientation vectors. The cross product of…

Q: n²x, 0<x<1/n fm (x)== { --n²x+2n, 1/n<x<2/n ( 0, 2 n<x<1 uniformly convergent on [0, 1}

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Q: 21 There is a family that has two children. Suppose that girls and boys are equally likely, what is…

A: The probability of an event given A given event B is: PA/B=PA∩BPB Now, we have that event A is that…

Q: 3 dy 5+ dx2 dx O degree 1 and order 3 O degree 2 and order 1 O degree 2 and order 2 O degree 3 and…

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Q: Consider the following functions T :R³ → R². Show that each is a linear transformation and determine…

A: We have to show that T : ℝ3→ℝ2 is a linear transformation. We have to determine the matrix A such…

Q: d) f(r,y) = r= 0, y = 1, dr = 0.01 and dy = 0.03 %3D %3D for f.(r, y), let u(r, y) = 4x-y and v(x,…

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Q: 4. Expand the following functions into Taylor series at the point indicated and find their radius of…

A: As per the guidelines we experts are allowed to solve only three sub parts of a problem. kindly…

Q: VI. LEARNING ACTIVITIES: Seatwork #1: Solve the following problems and box your final answers.…

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Q: (e) 5. Compute the angle between the vectors [1, –1,0, 1] and [0, 1,0, 2]. 6. Compute the…

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Q: Use the Jacobi method to find approximate solutions to - 4x3 201 + 2x2 + 3x3 = 25 2.x1 - 12 + 5x3 =…

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Q: Given two terms in a geometric sequence find the explicit formula for the nth term. a2 = 4 and a = 1…

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Q: b) Determine each state's apportionment using Jefferson's method. State A B D Total Population…

A: Divisor =49,400 Modified Quota=State populationDivisor

Q: Use limits to determine all the linear asymptotes of 3r2 – 5 2r2 + x if r1. 1² + 2x – 3'

A: Given: f(x)=3x2-52x2+x,if x&lt;1x3x2+2x-3,if x≥1 To determine: All the linear asymptotes.

Q: Approximate the integral F(x, y) da by dividing the rectangle R with vertices (0, 0), (4, 0). (4,…

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Q: Find a basis for the range of A and describe what you are doing A = 5 1 7 9 -17 8 18 -4 2 9. 8 -38…

A: We have given a matrix ,  A = 517818-4259-178-38-602105501535854-27-3-21031318106 We know that ,…

Q: A committee of 5 delegates is to be chosen from a group of 17 delgates, 10 of whom are women. If at…

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Q: S n +1] (d) In(6n) { n=2

A: According to guidelines we solve one question.thanku

Q: 6. For each of the following series determine if the series converges or diverges using the…

A: Given the series are (a) ∑n=0∞-1n-23n+3n let     bn=13n+3n⇒bn+1=13n+1+3n+1≤13n+3n bn hence bn is…

Q: Use polar coordinates to describe the region shown. y 10 5 -10 -5 10 5 -10 R = {(r, 8): 0 srs 3…

A: Here we will use some points and shape of given graph to decide which equation representing it .

Q: ꜱᴏʟᴠᴇ ᴛʜᴇ ꜰᴏʟʟᴏᴡɪɴɢ ᴅᴇ with solutions thanks! cosx + ydx + 3y2 + 2y + cosx + ydy = 0

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Q: Ahal answer on the text box otherwise handwritten solution will not be credited. Let f(x) be a…

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Q: If C(11.n)=330, then n is equal to?

A: The combination formula is Cn,r=n!r!n-r!.

Q: Find the eigenvalues and eigenvectors of the matrix -3 11 -1 3 -7 3 -9 From smallest to largest, the…

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Q: To test this series for convergence n nº + 4 n=1 where p= пр n=1 You could use the Limit Comparison…

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Q: Solve the abscissa of the centroid of the solid generated by revolving about the x-axis the area…

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Q: 1. Find all the eigenvalues and eigenfunctions of the following Strum Liouville problem (3) 4(ey)' +…

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Q: The other type of question in chapter 7 is solving trigonometric equation. We will not be practicing…

A: Solution : Given Special angles are  QI   :  30° , 45°  , 60°  QII  :  120° , 135°  , 150°  QIII  :…

Q: Q4 Find the solution of the linear system by using 1) Gauss elimination method 2) causs Jordan 3)…

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: Determine if the given sequence converges or diverges. If it converges, what is its limit? (a) {: 5…

A: Qa,b,c asked and answered.

Q: Consider the following system of two nonlinear equations: y = -x +x+ 0.75 y+ 5xy = x² Employ initial…

A: Please comment if you need any clarification. If you find my answer useful please put thumbs…

Q: Use the Jacobi method to find approximate solutions to x1 + 5æ2 – a3 = 5 21 +2 + 6r3 8 2x1 +2-x3 = 2…

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Q: Consider the geometric series (x – 7)". For which x-values does the series converge? T İs in I…

A: Given :  The geometric series is given as ;  ∑n=0∞-18nx-7n To find : We have to find the values of x…

Q: ci When x9, y= 0. ii As the values of x increase, the corresponding values of y decrease. ii The…

A: Increasing function: The function said to be increasing, as the value of the x increasing, the value…

Q: 2. Solve the initial-boundary value problem 400- Əx2 0 0 u(0, t) = u (67, t) = 0 t20 du u(x, 0) =…

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Q: For each of the following series determine if the series converges or diverges using the indicated…

A: Given series is d∑n=3∞4ncosnπ2n2+1f∑n=3∞1nlnnlnlnn

Q: (-1)"-2 (e) Alternating Series Test: 3" + 3n n=0

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