Evaluate SSS 12z dV E where E is enclosed by z = x? + y? and z = 1

Q: Find the smallest integer n to guarantee that the error in using Tn to approximate | e dx is e less…

A: The integral is ∫01ex2dx  The error of Tn is obtained by the formula is E=-b-a212n2f''c We want…

Q: 8. Integrate by parts: a) St csc? t dt b) S x2 In x dx

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Q: f"Ve-1) de (e* a) (e ) da Ante 1) de Bos birak

A: The volume of the solid formed by revolving the region bounded by the curve y=f(x) and the x−axis…

Q: dy satisfies dx? 2 iven by

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Q: Show for Re(z) > 1 dx = r(2) ((2). et - 1

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Q: Exercise: Answer the following by finding dy/dx. 5sin-1 # – cosh x (a) y = Vsec4 x + In 7 4 (b) + In…

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Q: The value of the double integral 7 1 4xy dy dx is 4

A: ∫46(∫274xydy)dxIntregation wrt y so x will be constant.⇒∫46[4xy22]27dx ⇒∫462x(49-4)⇒∫462x(45)dx

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Q: et Calculate the integral: dx (e – 4)(e* + 5) -

A: Given,            ∫exex-4ex+5dx

Q: (c.) Evaluate the integral [xV2x +1 dx ?

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Q: . Evaluate the following integral: Sx² e* dx

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Q: Jse the composite Simpson's 1/3 rule with step length h = 0.4 to estimate In(2+3/x) 1, dx, 1+x2 I =

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Q: (a) Consider the task of approximating e-4=* dx using the Composite Trapezoidal rule. How large…

A: As per bartleby guidelines we only give first question answers.

Q: Which of the following is the antiderivative of S ) dx? xVx+1 Vx+1-1 + C Vx+1- a. In c. In + x…

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Q: SSS 12z dV E where E is enclosed by z = x? + y² and z = 1 О Зл O 27 O 4T O JT

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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: Given that S" 4Væ dx = 152, what is fo*4Vt dt ? 3 )

A: As we know that;  the value of definite integral will not change if independent variables changes,…

Q: ().小) of af f(x, y)=sin 1+y, +cos %3D %3D X +1 s215 ||

A: To find The partial derivatives of f(x,y)

Q: Given the integral 4 dx and the substitution information x+ 9

A: Given : ∫4x+9dx

Q: The approximation of x' e¯*dx by Simpson's Rule is O 0.162402 O 0.160603 O 0.160602 O None of these…

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Q: edx e dx (e*+1)*

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Q: Evaluate the iterated integral. 6 9 dx dy 35 6 9 54 dx dy = 28 In 2+ 35 28 4y You answered: y. 3.…

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Q: S B+1F dx (Improper Integral) (3x+1)?

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Q: For ey – In x=y2, find the value of so that & (y' – y') = 1 at y =0- O e e

A: we have to find

Q: Evaluate the following integral. 4 (6x2 + y ) dx dy =

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Q: Find the most general antiderivative of f(x) = 7e" – 8 sec? (x), where ř < x < 5.

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Q: Find. d2 - (11 Int) dt? d2 (11 In t) =D dt?

A: To find:

Q: 1. Perform the antidifferentiation. (a) S Vã (7 –) dx (7 pts)

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Q: Find the derivVative of the function. 5. y= In 8v +5 dy dv %3D

A: The objective is to find the derivative of the function.

Q: Given the integral (9x * e12x dx and the substitution information u = 9x du = 9 dx V -e12x 12

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Q: on 1. Complete the following computation a' In(8x)dx via integration by parts f(x) = In(8x) and…

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Q: Choose the letter of the correct answe. 1) x² (xdy + ydx) = (5- xy) dx a) x ln (5-xy) = 1- cx b) -x…

A: We are allow to solve first question only .If you need rest of answer please upload it separately…

Q: Lind -2x+H where X- oro Zy

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Q: Revers the order and Evaluate= s dx dy y

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Q: dx S. 2x - 1 e

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Q: Evaluate the Integral dx 7. S xVx+6x ANSWER: 1 7. ÷ In 3 + C x+6

A: Given: I=∫dxxx+6x   ...1   We know that; ∫1ax+bdx=1alnax+b+C

Q: - Find the value of the following integral: 1) fe et -e" dt e~st 0. 2) e-tdt 0.

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Q: Evaluate the given integral. *2x 2ye-X dy dx Jo

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Q: To evaluate the integral * dx we use the substitution e а. x2 1 O b. 1- x2 O d. x + 1 =t

A: Explanation of the solution is given below...

Q: Sv? – 1),/y dy

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

Q: e Tx dx x2 e 3. S

A: We are asked to evaluate the integral.

Q: Exercise: Answer the following by finding dy/dx. 5sin-lr cosh x (a) y = Vsect x + In 7 4 (b) + In y…

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Q: Given tanh(x)+ tanh (y) = 1, show that, dy 1- y? dx 1- x2

A: We can find the required answer as below

Q: Given that 1 dx = and x2 dx = , compute the integral. x dx = 4 2' 3' La - 20?. (1 – 2x)³ dx

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Q: Q/ Find an integating factor for the diff- equ. 2y dx + (3y-2x)dy20? to

A: Conversion of non exact differential equation  to Exact differential equation. Given differential…

Q: dx dy. Evaluate by changing the order 4y

A: In the given question we have to evaluate the integration                ∫01∫4yyex2dxdy by the…

Q: If y = tanu, u =v--, and v= In x, dy at x= e? what is the value of dx

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Q: Let @ = 7e* dx ^ dy + ae³ dx ^ dz and n = 7e*y dx + 14e* dy+ e³ dz, where a E R. Find the value of a…

A: Given: 2-form, ω=7exdx∧dy+αeydx∧dz. 1-form, η=7exydx+14exdy+eydz.  where α∈ℝ. To find: The value…

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.