Let slx) = tan X %3D 3, ind ) tanx dx using Lebesgue in tegral.

Q: In evaluating Sx²V1+x dx with u = V1+x, what is dx equal to ? u du a. b. и du c. 2и du 3. d. • 2 и…

A: Since this is a multiple question, according to the Bartleby answering rule, only first question is…

Q: 5- 4- Find the volume of the solid created by rotating the following curve y = 3vx about the y-axis.…

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Q: z= x3 + xy4, x = uv4 + w3, az au az y=u- vew cuando u = 1, v= 1, w=-1 av az aw

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Q: (4, 16) 10 Find the area of the region bounded by the graphs of y = 4x y = x2 and y = 4x. y = x2…

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Q: 2 [ (e² + 1)² dx et

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Q: Find y' if 3x2- (ry?) = 2y.

A: y' = ? 3x2 -(xy2)1/2 = 2y3 3x2 - x1/2y = 2y3 differentiate with respect to x 6x - y/2x - xdy/dx =…

Q: ( sec' 0 tanede

A: Follow the procedure given below.

Q: dz S- 2ydy , if we let y=Vz+4, then the new integral becomes = y-2 In z+4 - 2 (A) True

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Q: (-1)" Given: power series (x + 1)" 2n2 + 5 i. Determine if the resulting series of constant terms…

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Q: ( 3x2 + 1, { if r 3 а. —8 b. -18 с. 18 d. does not exist

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Q: 7. F- dr from (0,0) to (3,9) along the curve y=x' if F(x, y, z) = 4 xyi + 3xy'j Evaluate

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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: (-1)" V2n2 + 5 Given: power series > (x + 1)" n=1

A: Radius of convergence of a power series of the form ∑n=1∞anx-an  is given by R=limn→∞anan+1 For…

Q: e20 -do 1+ 3e20

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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: Write the standard form of the quadratic function whose graph is a parabola with the given vertex…

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Q: Use tabular method to evaluate ſ –2x³e¬5*dx

A: As per our guidelines of bartleby we are not restricted to solve only in type written mode. Even a…

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

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

Q: **....... A rectangular parking lot with a perimeter of 440 feet is to have an area of at least 7000…

A: we have to find length range for the given rectangle.

Q: For the series below, (a) find the series' radius and interval of convergence. For what values of x…

A: Solving

Q: 6. Find dy/dx and simplify y sin = - х

A: According to our policies we are allowed to solve one question at a time so kindly repost other…

Q: Determine whether the following series is convergent divergent. or (-1)"3n² 4n2–1 n=1

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Q: 24 3y7 ts dy

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Q: x2-9 If f(x) = then f (x) discontinuous at x= 3 because..... x-3 x2-9 Jika f(x) = fungsi f (x)…

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Q: Determine if the given improper integral converges or diverges. If it converges, find its value.…

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Q: 10. Calculate the area of the shaded region bounded by the curves y = 1+4cos'x and y=-sinx, as…

A: From the given figure to find the area enclosed by the given region is bounded by the above from…

Q: 1. Evaluate the following integrals. 1 1. -d.x J #(9 – In² x)5/2" |

A: Follow next step

Q: What is the general solution of the system x − 2y + z = 3 2x − 3y + z = 8   Multiple choice…

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Q: FALSE if otherwise. Prove your answer. (b) If the power series > an(x + 1)" converges at x = 2, then…

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Q: check if the series below is convergent or divergent, thanks!

A: This question can be solved using the concept of alternating series test.

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: (-1)"-1"

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Q: Determine whether it is True or False does not converge (a) If an 20 for all n eN, then…

A: Comparison test: Let ∑n=1∞an  and ∑n=1∞bn be two series such that an≤bn ∀n∈N If ∑n=1∞an divergent…

Q: nd the derivative/s of the given item. Final answer should Find if yvx- 8 = xy + 2 %3D dx

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Q: In a certain year, 89% of all Caucasians in the U.S., 75% of all African-Americans, 75% of all…

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Q: Using homogenous differential equation determine the particular solution of xy?dy - (x³ + y³)dx = 0…

A: differential equation

Q: n(x – 2)" 3" (2n – 1)3 * VI. Consider the power series > n=1 a. Show that the power series converges…

A: Solving

Q: 5. What are the coordinates of the centroid of the area bounded by y = x² +2, x-axis (ory = 0), x =…

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Q: f(x) = 2"[In(cot(x³))]5

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Q: Is the vector projection of B onto A, perpendicular to B? Is the angle between projAB and the vector…

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Q: There are true statements of f(x) = 5(x4 – 4x³) , except ... Pernyataan yang salah mengenai kurva…

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Q: X In Зх +1 y y' X

A: Given ; ln(x2/(3x+1))=y/x.

Q: а a а а а а а а 00 a a 0 0 a a a 0 00 0 а

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Q: A window is in the shape of a rectangle surrounded by a semicircle. If the perimeter of the window…

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Q: Write the quotient in standard form. 17 1 - i

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Q: y = [Arcsec(tan r)]ecsc 2r SC

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Q: Determine whether the following series is convergent or divergent. 3- Vn (a) n=1

A: Solving

Q: 0 e1/x dx

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Q: Q: Evaluate the following integrals: (10 dt, 10x dt 1. 5t re dx 2. J0 x(Inx)?

A: Question 1,Given,           ∫510dtt+∫5x10xdtt