45. Rewrite each of the following as an equivalent expres- sion using radical notation. [R.5] a) x2/5 b) m 3/5 c) (x² – 5)1/2 d)

Q: Evaluate the following integral. ∫ (6 + 3z)cos(1 + 4z)dz

A: Integration:        ∫(6+3z)cos(1+4z)dz=∫6cos(1+4z)dz+3∫zcos(1+4z)dzBy parts formula:∫uv…

Q: 7* b. 1- 72x

A:

Q: the area outside r = 1 and inside r = 2 cos 0 is 91.433 O 90.433 Other O 90.343 O

A:

Q: Find formulas for the functions represented by the integrals.

A: ∫2x12t2-8t dt

Q: 3. 2 What is the value of the integral 7xyz dxdydz ? 0, Select one: O 133/4 O 135/4 O 137/4 O 139/4…

A: To evaluate: ∫23∫12∫017xyz2dxdydz Let I = ∫23∫12∫017xyz2dxdydz First integrate with respect to x and…

Q: Evaluate the followingintegrals.

A:

Q: Evaluate , 5y²dV where E is the reqion below x + 3y + 6z = 9 in the first octant.

A: Given: In the first octant, evaluate∫∫∫E5y2dV , where E is the requirement below x + 3y + 6z = 9 .

Q: solve the following differentral efuation x2y-x²dysyf cose

A:

Q: Compute the given integral. 1 49 x2 +C

A:

Q: Suppose s(t) = 3t+ 6 on the interval [1, 4]. What is the displacement on [1, 4]? 06 08 09 O 18

A: topic-displacement

Q: Prove by the indirect method: Given: AMPN is not isosceles Prove: PM + PN

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A: The regression model is used to predict the unknown value of the variable. Using the slope and…

Q: Given: 2OTS = LOES, ZEOS = ZOST Prove: TO = ES E s.

A: In △OTS and △OES∠OTS=∠OES                   (given)∠OST=∠EOS                   (given)OS=OS…

Q: 5. Find the indefinite integral. 38x xp, 1 a. In 3 na 38* +C b. 38x +C 8 In 3 c. 8(In3)3* +C d. 8x…

A: ∫38x dx Put, 8x=t⇒81=dtdx⇒8 dx=dt⇒dx=dt8

Q: 3) Given: MN||PO; LM = 20 Prove: MP||NO

A: Given that:  MN||PO and   ∠M=∠O

Q: Evaluate the integral. 350 tan?(e) de O 359 tan(e) + 358² – 35 In(Isec(e)|) + C O 359 tan(e) – 350²…

A:

Q: solve the following equahon for o on he in terval [0,27] CSC (+) + 1.597-0

A:

Q: Evaluate the integral tan 4x S- Vtan? 4x – 24 In/tan 4x + /tan² 4x – 24| +C O 1 sec 4x +C Arcsec 5 O…

A: 14lntan4x+tan24x-24+C' =14lntan4x+tan24x-24' +C' =sec24xtan24x-24+0=sec24xtan24x-24 So, the…

Q: 2. 5 in 12 in Solve for x. HINT: Use the Pythagorean theorem. A 10

A:

Q: 12. If IN = 2x + 10 and AT = 26, find x. %3D %3D В 丰 N A O 6 O 12 О 10 8. -

A:

Q: Given: LM NO; ZLMO = ZNOM Prove: LO NM

A: Using Side angle side test,

Q: By using Residue fined S 2+3 sin z(z-1)² dz, C:|2|=2? (6 €13) (4

A: See the details solution in below

Q: dy If then de impossible to calculate O In(æ)

A: 7.  slope of tangent line  slope at point ( 4 ,2 )

Q: Use the Trapezoid Rule withn 5 to approximate e dr. 074035 2.9614 O37.0175 O 1.4807

A: The trapezoidal states that

Q: [3 37 tan5 x sec4 xdx Х

A: Given:

Q: 4. Find Rable With respect ho X and X is also iable nith respect b . a ssuming fhat Y is diffrent…

A:

Q: Show that the following cosh 3 (0,0) r(3,5) x² y?. (10xdx +6ydy)

A:

Q: . Given: LM NO; ZLMO= LNOM Prove: LO NM Reasons

A:

Q: 6 cos3x cos4x dx

A: To evaluate: ∫π6π2 cos⁡3xcos⁡4xdx Let I = ∫π6π2 cos⁡3xcos⁡4xdx We know that 2cosAcosB =…

Q: 2) Find the third Taybr polynomi al B,(x) f fal= cos X at X = m. 3) Using ?, (x), eshimate cas…

A: As per bartleby guideline for more than one question asked only first is to be answered please…

Q: Given: HT || SF, LH = LS and HT SF Prove: AHOT ASTF

A:

Q: EVALUATE THE FOLLOWING ITERATED INTEGRAL 8 √ √₁³ (2x + y) dydx

A: The given integral is ∫-30∫482x+ydydx…

Q: 3) Prove There exists a real nubrsSo Surh thot

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Q: Approximate the following integral using Gauss quadrature 1.5 1 = [ ¢ I = dr Use 16 significant…

A:

Q: If the mth term of an AP be 1/n .And nth term be 1/m.then show that it's (mn)th term is 1

A:

Q: E Use inte guations by parts formulen udv: ay -Jvdu to evaluate. _2x details in yaur So lution for…

A: In the question we have to find following integral.

Q: 8) So for x and y. Bound to the nearcast tenth. 12 メニ 50

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Q: Evaluate tne below exprassion using De Moivres meorem-

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Q: Suppose you Know that tand 3/12. Vsing this infe, de tevmine cuhot quadiantdis in dnd Caliulate…

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Q: A.o/ prove haT cosh(zi42e)=Coshzcoshai+sinh2,Suhze

A: note : as per our guidelines we are supposed to answer only one question. Kindly repost other…

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Q: Find the lenegth of the cunde 312 2 from x=o to -

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Q: 15 A Create a histgrdem )(0culate sâaple meân (shalel worh) c) Find edian for this st lshow work

A: Given Data : Class Frequency 7 - 8.9 5 9 - 10.9 6 11 - 12.9 1 13 - 14.9 2 15 - 16.9 1…

Q: (6+ 3z) cos(1 + 4z) dz

A: We will use integration by parts

Q: Evaluate the following integral. 5 ex xp. 9-e 2x

A: This problem is based on the integration by substitution.

Q: Ex 6 Show that X -Ca,i) is HOM with y- (1,00) if X and y have the euraal Seibsipace op. af R Hint:…

A: Homeomorphism: Two topological spaces and are said to be homeomorphic if there exists a function…

Q: 2. find the the following equation in simplest arbi Saution set of form. X-3x + 9 = 5Y-10

A: