4. L{t² sin 10t} 60s? – 1000 60s? – 2000 b.- (s² + 100)3 60s2 + 2000 а. c. d. none of the abov (s? + 100)3 (s² + 100)3

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

A: we need to evaluate the triple integration. For finding the solution first we will find the limits…

Q: sn'x プェ Sec'x-1 from [o, of 2.

A:

Q: Sin (n+))x Conv. unif nナノ on Prablem (5) Is the senies

A: The given series is: ∑n=1∞sinn+1xn+1 The given interval is: 0,π

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

A: we need to evaluate the integration over the region using the triple integral. First we will find…

Q: Compute for the value of tanh (1 – i) Iny + 2.13i In 2 + 2.13i 2 In 5 - 4.25i 2 In v2 + 2.13i

A: To Compute: tanh-11-i Concept: 1. tanh-1z=12ln1+z-ln1-z2. lnz=lnr+iθ+2nπwhere,…

Q: (iii) 1 dø -sin²Ø Hint: may start with de (T(1/4)} /2 Vcose to obtain the result

A:

Q: 14. Find the antiderivative of 5sinx In 5 cosx. a. 5cosx +3 c. 5sin x In b. 5sinx-2 d. 5 sin x + 7…

A: Anti derivative of the function

Q: 3- S e J coscinx) d

A:

Q: If r = (3 cosh 2t)i + (3 sinh 2t)j + 6tk and t = In 2 then اخترأحد الخيارات 8. 16 and T= 867 O K =…

A: Curvature   k=32867=0.0369088811995386.

Q: 8F OF OF 1. Use the formulas above to find and ду ax exy + sin (xyz) + In (yz) = 4 – z

A: Partially differentiate the function with respect to x.…

Q: 2 Z = 31 + (Sin 28 + ((ase Ÿ -(Sin@) Fined Iz1 12

A:

Q: 4. If x = cose + isin0 & 1 + V1– a² = na then prove that 1+ acose =(1+ nx)(1+) %3D 2n

A: Given, x= cos θ+i sinθ and na=1+1-a2      To prove:  1+a cosθ=a2n(1+nx)(1+nx)       Let  x=…

Q: 15. sin(2t + 글) dt = e2t-3 8. 7 4 7 64e3 7 4

A:

Q: QS) Use Simpson's 3/8 rule to compute the approximated solution wihere f (x) = ,deind a te interva…

A:

Q: Example 8.10. Evaluate Sº (ii) Simpson's 1/3 rule, (iii) Simpson's 3/8 rule, dx Jo. 1 + x² by using…

A:

Q: Prove by mathematical induetion. Ine I+2 +2+2 +2° = 2.

A:

Q: Use the properties of logarithms to write the expressions in Exercises 43 and 44 as a single term.

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

Q: 1)z = e(4+j3) In(6230") 2) z = (-;)(* 2) z = (-)(r)"

A: (1) The  given complex equation is                                                Z=e4+j3ln6∠30°

Q: 2/3 Determine the length of x=| for 0<ys2. Assume that y is positive.

A:

Q: S Prove that L(cos 3t) (s²+9)

A: Given L(cos3t)

Q: 12. Verify by direct substitution that Un(x, y) = sin nx sinh ny is a solution of Uxx + Uyy 0 for…

A:

Q: The evaluation of S V1 + tan2x dx is C In(V2) +1 In(vZ+1) C In(vZ-1) O-In(vZ+1)

A:

Q: S 1.Prove that L (coswt): %| s2 +w2

A:

Q: cancer u alcurate 5th on diagnostic test is 9s 2 those who halse A 'cancer cnd on those wno do not

A: Given that, As the test is 95% accurate for both who have cancer and who don’t, therefore the…

Q: So 32 (z + 4)° da = 5120 %3D Select one: O True O False S sin4a da = 4 7/3 7/12 %3D Select one: O…

A:

Q: (b) f(z) = tan¯"(5z) - (In(2"))®

A: We have to find derivative

Q: 12) The solution of 2lnx-In(x+ 2)=In2 is a) 0 b) 1 c) {-1,4) d) 4 e) поп 13) sin( 2 csc"1(2)) = b) -…

A:

Q: If fufe.- fuave diffa Veubable at'xo eI fuave difle Veubable at Xo eI Pi:I R,ists-n prove O…

A:

Q: 16. Find he exact soution on The interval [0,2m] 25in?x ャ Bsinx +3= 0 5sinx t

A:

Q: Please see the attached problem. Thanks!

A: Given:

Q: find following timia the exist Pim 1t y ス→。 fim (2'tyo) In (xty?) ()

A: For a function f(x) the expression limx→af(x)=b means that the function tends to value b when domain…

Q: Q5) Use Simpson's 3/8 rule to compute the approximated solution 1 where f (x): defined at the…

A: The objective is to estimate solution of fx=1cosx+4x over the interval 1,4.5 and n=7 using Simpson's…

Q: • 8 If In = 7/2 e*cos" x dx, where n 2 2, prove that: %3D (a) In = 1-n[" /2 e-* sin x. cos"-1 x dx…

A:

Q: 4 In GL(2,Z13), det 1 4

A: We have to find the determinant using GL(2,Z13) That is, instead of usual addition and…

Q: Fand ar a of functrons COSX n

A:

Q: L{ett sinh? (2t)} 8(3s2+6s–16) (s+1)°(s²+2s–15) 8(3s2 +6s-13) (s+1)°(s² +2s–15) 3s2 +6s 16 (s+1)(s²…

A: To find Le-t t sinh2(2t)

Q: (4z + 5)² tan zy= + dr Cos z

A:

Q: S(32+2*)sin(z)dz 3z +

A: In this question we have to solve Integration.

Q: [4] 5. Use the fact that 1 +C 4e2r dx = 2e2 to either evaluate the improper integral 2 dr, or show…

A:

Q: 1 And the radios of Co for the pover Serie for the Power Serie vergence 00 xh (2"+1) (n?+1)

A:

Q: Which of the following is Inx – 6x + 18| + arctan(- (x – 3)) +C equal to? 2 – 6x + 18 x - 3 V 2 In…

A:

Q: Evaluate the integral. 2 [ 11t sec-'t dt 2/√√3 2 S 11t sect dt = [ 2/√√3 (Type an exact answer,…

A:

Q: In x + In(x – 1) = 10 In(x + 25) – In(x – 1) = 3 e2x – 2ex = 15 e2x – ex – 12 = Q %3D %3D -

A: i) ln x+ln(x-1)=10ii) ln(x+25)-ln(x-1)=3iii) e2x-2ex=15 Note:      Multiple part question are given,…

Q: 5) why is x3- 3x +I X +2 Conti nuous (0,00) on where is it discontinuous?

A:

Q: 1) LtZ be a solukion (5) of complese mumber then the sinh Z+ Coah z -e is Z=1?

A: