Evaluating the improper integral 3u dy ye 12 gives the answer A) e 6. B) e5 C) e-6 D) e E) e

Q: Evaluate the integral fa* (2* – 11)"dz, dx, by making the appropriate substitution: u = 11). 24 dx =…

A: ∫x3x4-1124dxSubstitute u=x4-11du=4x3dxdu4=x3dx

Q: What additional information would you need to prove ATRO AOMT by the HL theorem? A TR TM B OTM TOR C…

A: If the hypotenuse and the leg of the triangle are congruent to the hypotenuse and leg of another…

Q: By making an appropriate change of variables, evaluate the double integral I = (z + y)e= v° dzdy…

A: By making an appropriate change of variables, evaluate the double integralI=∬R(x+y)ex2−y2dxdywhere R…

Q: Parle to Fully demonstrate eva luate the Integral Litegration by demonst ra te 3メ 5xe

A: Given : ∫5xe-3xdx

Q: H. 50 MLLKI = %3D 188 mīJ = 46

A: The measure of arc KH⏜=188° The measure of arc HI⏜=50° The measure of ∠HJM=46°

Q: Use set buiela motañoo& oul rilles of Wogi Cal equivolences to Suow thied AnB = A UB.

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Q: .rdx dy Prove that (a) (b) (8)

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Q: Let a = ci + jand b = 2i + 10j. Find c so that a and b are orthogona C = i

A: Given: a=ci+j b=2i+10j.

Q: B is the midpoint of AC BD 1 AC Given: B Prove: AADC is isosceles A

A: Given The B is the midpoint of AC¯  and BD¯⊥AC¯ .

Q: Evaluate the integral SR 8xydA, where R is the triangle 8x + y 0, y 2 0. SR 8zy dA =

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Q: 1. Given OQ, AC = x2-6, BC = x, CQ = 5, Find the area of OQ. %3D %3D B

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Q: 1. Complete the proof. Statements Given: IN Bisects ML, ZM=LL ZM=L 2. 3. Definition of a 4. MK =…

A: To Determine: prove that ∆MJK≅∆LNK Given:We have JN=ML and ∠M≅∠L Explanation: here we have a figure…

Q: Apply Green's Theorem to evaluate the integral P (3y2 dx + 3x2 dy), where C is the triangle bounded…

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Q: n. b) 2e u+2 dydz. 0 Ji

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Q: The value of the integral dz , over the Contour C |2 – 2| = 2 is equal 2Ti 2rie 2rie

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Q: 7. Given that BOC is a diameter and that ADC = 90°, prove that AC bisects BCD. %3D -E 10.4…

A: Join A and O. Note that, OA is perpendicular to DE

Q: Which parts must be congruent to prove APQR = A PSR by SAS? %3D P R OZQ = LS and QR = SR

A: If two triangles are congruent, then they have congruent corresponding angles and congruent…

Q: The value of the integral (17 tan z- 17 sec r)dr = %3D O -68 O 4 O 68 O-4

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Q: Use SphericalL coerdinates to evaluate the +र |राज्ट | . triple integral SSS x°*y@;=? d V, Where E…

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Q: Which substitution is needed to evaluate the integral S tan* x sec² x dx =? u = tan* x, du = sec? x…

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Q: 19. z?e-l/? (a) |z| = 5 %3D

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Q: Evaluate the iterated integral. "TU 2 √4-22 ²² z sin(x) dy dz dx

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Q: 62. dz, C is |z| = 3 C c z² +4

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Q: In APQR, the measure of ZR=D90°, QP = 53, PR = 45, and RQ = 28. What ratio represents the cosecant…

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Q: we Know that leitIcİtles) + 2 RelciĞ) + 2 Rece.c) = ? where C ,cnd e: are camplex nymbers

A: Given c1+c22=c12+c22+2Rec1c¯2 Where c1, c2 are complex number. Also given that c3 is complex number…

Q: Given: A ADE~a ABC; EC = BC; DE = 4; AC = 18 Find: BC %3D %3D

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Q: Given: RS E TU ZSRT LUTR U Prove: ARST ATUR

A: Guven : RS ≅ TU∠SRT ≅ ∠UTR

Q: Apply Green's Theorem to evaluate the integral P (4y² dx + 4x² dy) , where C is the triangle bounded…

A: See the details solution in below

Q: Evaluate the integral /R 2xy dA, where R is the triangle 4x + y 0, y 2 0.

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Q: In the Fgure belcw, mL2=41? Find m ZI Im %3D

A: Topic:- right angle

Q: Compute the given integral. da 25 2 +C Submit Question

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Q: Consider the inetgral (11z + 2) dA where Ris the region between the circles z? + y? = 9 and z2 + y?…

A: Since R is the region between the circles x2+y2=9 and x2+y2=100. Therefore, we describes the region…

Q: +∞o fthe 0 The improper integral edx is

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Q: Complete the two-column proof. Given: TRE UE, TE UR Prove: ZTEZU

A: Given : TR≅UE, TE≅UR

Q: Calculate the integral Sa-ydA D where D = {(r, y)|0 < < 2y < 2}. %3D

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Q: 3. Evaluate the integral cosh ™z dz, z(z? + 1) Izl=2 where the circle |z| = 2 is described in the…

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Q: 15 Simplify and ANSWER in Sci, NOT, (usE APPROPRIATE SIGNIFICANT FIGURES) Page -3- R. R. %3D Ri+Rz…

A: 15) (0.0071)3/(0.020)4 =(7.1 x 10-3)3/ (2.0 x 10-2)4

Q: Use Cauchy's Integral formula to evaluate the integral: Sa (z+1) e2z dz where C is a circle |z| = 3.…

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Q: dy is then da In a If y = cosh r

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Q: Compute the area of the triangle. T = = ||OP x oQ|| = |(36, -36, 36) || = II ト

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Q: With integration by parts, J udv · Judv = UV - O True O False

A: Solve the following problem

Q: Evaluate the iterated integral. SI[ *y+zcos(z')dxdydz

A: Integrate the integration in given order one by one.

Q: 10 UJū du n – 3J4 den 1-3J4 2. 2) San -3 J4 da

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Q: moves along iine ield x, y, z) = z?i + + 4 s' Theorem to finc

A: The work done is the line integral o the force along the given path C, W=∫CF.dr Apply Stokes…

Q: Evaluate the integral using FTC I.

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Q: Apply Green's Theorem to evaluate the integral O(6y dx + 6x dy), where C is the triangle bounded by…

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Q: Prove that the area of the cardioid 3 r = a(1- cose) is , πα?. 2

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Q: a) Evaluate the double integral MGUTM 1 UTMO dydr. I² + y? SUTM UTM U

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Q: Use Green’s Theorem to evaluate ∮C squre toot of (1 + x^2)dx + 14x dy, where C is the triangle from…

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Q: Evaluate the integral see"(4r) tan(4z) dar. O sec (42) + C O None of these is correct. 3 In |…

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