Determine if the improper integral La dx converges or diverges. If it converges, find its -1 (1-e*)2 value.

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: 3 < x < 2/3 < x < 3/2

A: We have to choose the correct option from the given options according to the given information

Q: Use tabular method to evaluate ſ –2x³e¬5* dx -5x 1.

A: Let's find.

Q: +o0 (-1)*n" sin" () Σ 2n n=1

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Q: 2n + 1 n=1

A: We have to check sequence convergence.

Q: The antiderivative of f (x) = Ga“ + 23x – 9 is F (2) = a ln (Jæ + 3|) + b ln (Jæ|) + d In (r - 1) +C…

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Q: Find rdr 2/2- 27 eVE - 27) Option 1 Option 2 Option 3 None of the choices

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Q: Evaluate the following sum of iterated double integrals: r4-2y eAr-r² dx dy 2 2y dx dy +

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Q: Calculate the moments My and My and the center of mass of a lamina with the given density (p = 3)…

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Q: etermine if the given converges or diverges. Find the value if it converge. | In(x²) dx -1

A: To integrate the given function.

Q: Using the squeeze theorem, find the value of lim,0 x² sin=) O 1 O -1 O does not exist

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Q: (b) S 3X5V1– 2x³dx -

A: Given,             ∫3x51-2x3dx

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: Q4) Find plane area inside the polar function r = 2 and outside the polar function r = sin e) +1 in…

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Q: let k be a positive real number. Then f(x)= squareroot of k^2-x^2 is continuous on the interval: a)…

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

A: integration using integration by parts method if it is helpful appreciate me.

Q: dy Find dz and simplify: y = 2534x²

A: we have to find derivative of the given function.

Q: 2. Use integration by parts to evaluate the following. (a) Sx tan- x dx

A: LetI=∫xtan-1xdxApply integration by…

Q: Find the area of the triangle with vertices P(1,3, –5), Q(0, 0, 0) and R(2,4,1). NOTE: Enter the…

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j…

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Q: 4x + 1 dx Jx3 + 3x2 - 6х -36 2.

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Q: 4. A1 y = 2x 2+ A1+ A2 = A3 1+ y= x2 482

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Q: (cos2y — Зx? у?)dx + (сos2y — 2xsin2y — 2x3y)dy %3D0 - |

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Q: e20 -do 1+ 3e20

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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: [ 3x3-2х2-4х-3 х2 (х2+x+1)

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Q: 9.) S(5t + 2t2 - 5t - 50)dt

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

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: S 3x5V1 – 2x³dx

A: Use simple integration formula.

Q: 6a2 + 23x – 9 The antiderivative of f (a) = is F (x) = a ln (læ + 3|) + bln (Jæ) + dln (r- 1) +Cthen…

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Q: Find the directional derivatives of Ø = x2yz + 4xz2 at ( 1, -2, -1) in direction 2ax – ay – 2az.

A: Answer is in step 2.

Q: dy Find dz and simplify: y = ln(2x + V1 + 2a²)

A: The objective of the question is evaluate the derivative of the given function.

Q: The temperature (in degree Celsius) at a point (x, y) on a metal plate is given by a function T(x,…

A: T=Tx-yTyTo Find:a. Suppose T(4, 6)=320C and Tx(4, 6)=20C. Use the linearization of T at (4, 6)  to…

Q: Use the properties of logarithms to expand the following expression. xy log Each logarithm should…

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Q: Find f^(100)(x) whenever f(x)=(x+2)^100

A: Let's find.

Q: V9 – 4x2 Evaluate: A f (x) = V9 – 4x2 + 2 sin () + C V9 – 4x2 – 2x sin- () + C B 6/ | | f (x) = f…

A: For the solution follow the next step.

Q: 3 Figure 1: Graph of f 4. Each of the following is true EXCEPT: lim f(r) = 0 c. lim f(r) = +o∞ a.…

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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: Given

Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with…

A: Let's find.

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) x + 45 dx

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Q: Find and dx d²y then simplify whenever possible. dx2 1) y = 3t5 – 2t , x= 4t³ |

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: The round off errors when measuring the distance that a long jumper has jumped is uniformly…

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Q: The first derivative of y=cos(tan(x2-7x+1)) is... Turunan pertama dari fungsi y=cos(tan(x2-7x+1))…

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Q: 1. Sketch the region enclosed by the given curves: y = e*, y = x² – 1, x = -1, x = 1. Find the area…

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

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Q: dy y dx when y = 1 and x = 1 in terms of %3D

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Q: Evaluate the following integrals. 2x3 – x² + 2x – 2 dx r²(x² – 2x + 2) | | 1.

A: Since you have posted multiple questions which are not interlinked, i can do first question as per…

Q: Find the derivative of f (x) = 4x-10x2+ 8x-2

A: To solve the following problem