Fined Fhe boundled by Ahe Cure area 2. x+Y= 3 %3D -33-j` and ど= %3D Ans wer

Q: Evaluate the double integral : (y – 10x) dx | dy

A: we will integrate first inside the bracket with respect to x taking y as constant and then we will…

Q: Calculate the iterated integral. 36 LTC + ar X dx

A: Solve the following

Q: For the integral 3xe"c fute - w - ftu °dx, we can use integration-by-parts: UV – First, if we let dv…

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Q: Evaluate the iterated integral. 5 4 (3x + 5y) dx dy 5 4 (3х + 5у) dx dy %3 i

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Q: What is the Antiderivative of du 2.

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Q: Evaluate the iterated double integral 2.) S S ₁² x y e² dxdy 2 b.) ^ S = sinTy³ dydx JI-X² c.) ["…

A: According to our company's guidelines I can only answer first question since you have asked multiple…

Q: Find the most general antiderivative. 9 dx -x2 x zX - IN

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Q: Sev dx (Hint: Integrate by parts with u-substitution)

A: To evaluate I=∫exdx

Q: Evaluate /1 – y² dydx by first | switching the order of integration. Select one: O a. O b. 2 O c. 3…

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Q: Evaluate the iterated integral. 3 I (* + 5)dy dx 3 8 (x + 5)dy dx = i

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Q: What is the integrating factor of (1 + cos z) y' = sin z (sin z + sin rcoSI y) - CSC I sin z O1 +…

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Q: Question 3 Selve the linear Ruation: dy 3. Integral faualian.

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Q: Evaluate 6z dV where E is the region below 4x + y + 2z = 10 in the first octant. E

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Q: Evaluate the iterated integral. In 4 In3 2x+Y dy dx 0 1 **y In 4 In 3 e2x + Y dy dx = 0 1 (Type an…

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Q: Evaluate the double integral ∬Dx2dA,∬Dx2dA, where D={(x,y):1≤x≤e,0≤y≤lnx}D={(x,y):1≤x≤e,0≤y≤ln⁡x}.

A: To evaluate:

Q: Pind the derivativa otthe Pollowing の3=2 Sin'Csx) In coshラX 3 =\nx (3) Xsin 4y=Jtan YX

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Q: 4. If the curve y = In x between x = 1 and x = e is rotated about the y axis, which integral below…

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Q: Evaluate the double integral : (y° – 10x) dx| dy

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Q: 1 dx

A: According to the power rule the integral of a function f(x)=xn is given by: ∫xn dx=xn+1n+1+c…

Q: What is the reversed order of integration of dydx O a. 9 x²e®dxdy Ob. 'x³e°dxdy .3 OC. S x³e°dxdy O…

A: NOTE: Refresh your page if you can't see any equations. . the limit of x is  the limit of y is

Q: Evaluate the iterated integral. dx dy dy = (Type an integer or a simplified fraction.)

A: To evaluate:∫17∫0414x3ydxdy

Q: Evaluate the iterated integral.

A: The given integral is ∫01∫0y6x+5y3dxdy

Q: | sec 5x dx

A:

Q: Figure out these antiderivatives. S 6 tan(3k) dk 1 dx J (3x)2 +1 5х –dx (3x)2+1

A: NOTE: Refresh your page if you can't see any equations. . .............(1) substitute…

Q: Evaluate the iterated integral. 4 (x + 7)dy dx Exact number, no tolerance. (x + 7)dy dx = i

A: We have definite Integration to solve.

Q: Find the matoinof linear trancformati ion i) T:RRT

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Q: Evaluate the iterated integral. 8 1 (3х — 9у) dy dx - Exact number, no tolerance. 8 (Зх — 9у) dy dx…

A: Given:      ∫18∫-113x-9ydydx     =∫18∫-113x-9ydydx integrate with respect to y…

Q: Evaluate the iterated integral. In 3 In 5 SS 3x+2y dy dx e 0 1 In 3 In 5 || 3x+2Ydy dx= 0 1 (Type an…

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Q: +5y )dx+(2x-4y) dy edary of the region lying between

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Q: Evaluate the iterated integral. (2х — 4у) dy dx Exact number, no tolerance. (2x – 4y) dy dx = i -1

A: The given integral is: I=∫111∫-11(2x-4y) dy dx

Q: 2 ytz dy dz Evaluate the double integral : 0.

A:

Q: b) Determine the volume of D = 5[ 1 dV using integral -zx.

A: The volume of a solid V is given by V=∬∫v 1 dvwhere limits of x,y and z can be found from the given…

Q: Find uhe integral y+ 2 dy

A: Substitute u=y+2,du=dy.  Note that y=u-2.

Q: (2y° + xy }tx + (x*y² – 2}ty = 0 Integrating factors found by inspection: %3D

A:

Q: 1. Find the area of the shaded region by (a) integrating with respect to x and (b) integrating with…

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Q: If the order of integration is reversed for the double integral Sa ez+yYdydx, the integral will…

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Q: The value of the double integral a x dn dy is 0,

A: To find ∫-aa∫0a2-x2x dx dy : ∫-aa∫0a2-x2x dx…

Q: 3 27 and 3 = 20.25, compute the following integrals. xdx = 4.5, 9x da , help (numbers) 4x-3x dx help…

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Q: a) dz, T: z (t) = -e-int, 0<t <1. %3D -1 1

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: -y lny+y ln x)dx + x(In y – In x)dy = 0

A:

Q: 4. Evaluate the double integral: LL y x² +1 (Hint: Change the order of integration to dy dx.) dx dy.

A:

Q: Evaluate the given double integral 1 dx dy

A: the given integral is  I= ∫-11∫-121dxdy

Q: ( b). Je2cos (πx) dx .

A:

Q: Evaluate the iterated integral: 1 IIT 24a*yz² dz dy dz

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Q: Se% dx

A: Antiderivative is e7x7 +c  where c is arbitrary constant

Q: 3. Which antiderivative of y = (1 – x²)-1 should we use to evaluate the integral (1 – x²)-' dx?

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Q: Find the exuct Sulutivn for y'=x+2Y

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Q: Evaluate the iterated integral. 4 (x + 3)dy dx Exact number, no tolerance. 4 (x + 3)dy dx = i

A: Let's find.

Q: Evaluate the iterated integral. (8x – 8y) dy dx Exact number, no tolerance. (8x – 8y) dy dx = i %3D

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Q: given FCX)= x° t use definatron Of desivative

A: Given: fx=x2+1x Definition of derivative: f'x=limh→0fx+h-fxh

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.