Assome that ai= 20, E,46i= 30 ard bN=4 cal culate N-1 (a) 6) 5+ E (3ai+36) 1=1

Q: | 21×VX2 + 1 dx = 14 2- 7, what is 21uV u2 + 1 du? Given that %3D

A: The properties of definite integral is ∫abf(x)dx=-∫baf(x)dx. Use the property of definite integral…

Q: then 7(1 - а)М? + 6(1 - а) Мт %3D ВM?, 7(1 - а)т? + 6(1 — а)Мт %3D Вт?, Subtracting we obtain Y(1 –…

A:

Q: 3. RT = 22 and US = 18 VT = UV = S RS = %3D U T.

A:

Q: 11. If a = y2 and b = y, and -1sys3, then what is the largest possible difference between a and b?…

A: Please refer the attached image for complete solution.

Q: Assume that u - v = 2, ||u|| = 8, and ||v|| = 3. Calculate the value of (9u + v) · (u – 8v). %3D…

A: we multiply the given equation and then put the value of given data. u=8 v=3 u.v =2 note- According…

Q: pany 2 = 355 3.24 = 0.52 on about these two co

A: The null and alternative hypothesis is as follows: Given: As the population standard deviation is…

Q: Assume a; > 0 (i = 1,..., n). Show that 1 +. a1 < (a1a2 ... an)/n. n an

A:

Q: %3D 7. If mBC = (9x – 53)' and mCD = (2r + 45)", find mBAD. E

A:

Q: Using modified euler's method, fihd au appn ximate Walve 84 when 4=03,given that ca dy K+y € y= 1…

A: Given that dydx=x+y and y0=1 To find: The value of y(0.3)

Q: Solve this egeua tion using differenbicel eque bio us ikx -ik X 4 Cx) s AĈ + 13e

A:

Q: Suppose z = 7+-8i and w = 9+7i. Then Re (2)=? %3D

A:

Q: 2etūsw ER' such that and iov-2.Than (3ü)(B)

A:

Q: 17 (-2t + 20) dt 7

A:

Q: Convert the differentral equatim into e S and Save nhe System: (20-70-4y)%3D0

A:

Q: Solve the Auxiliary DE 75. и"" + u" — 2и 3D 0

A: Note: - “Since you have asked multiple question, we will solve the first question for you. If you…

Q: 650 C. In O T, mPQ = 65°, mR = 80° and mzS = 70°.Find: 1. mzP = %3D 2. mzQ = 3. mQR 800 R. 700 %3D

A:

Q: The Energy of a photon for a microwave of wave length 1.5 cm is 8.29x 10 -5 ev 8.29x 10 ev II O 6.29…

A:

Q: Suppose z = 5+ –2i and w = -5+ –4i. Then Im(zw) =? %3D

A: zw=(5+ -2i)(-5+ -4i) Implies zw= -25+10i - 20i + 8i2 Implies, zw= -25 - 10i - 8  [since i2= -1 ]…

Q: {50, lo o 1503 Sampie size : 2 (B) Population normel populetio n I Find pronability clietriletion of…

A: Sampling normal distribution

Q: (b) In(2x2 + у — 23) %3D х

A:

Q: Show that ri =1+i, r2 = 1-i is a solution of (3+ i)x + (1+ i)x2 = 4 +4i %3D

A:

Q: Prove that Ek=0 C) 7n-k . 2k = 32n %3D

A:

Q: 1. y = In(x? – 7x) 2. y = x³ In(x? + 3) 3. y = In(x? – 1)³/4x + 2 4. y = In v4 – 3x -

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly…

Q: 4. Prove that 3i² + i = n(n+ 1)?

A:

Q: mple. Compute AB and BA where 1 -1 A = %3D B = -2 2 3 4

A:

Q: 20. Algebra mZOZP = 4r+ 2, MZPZQ = 5r - 12, and MZOZQ = 125. What are m2OZP and MZPZQ? %3D

A: In this question we have to find m∠OZP and m∠PZQ

Q: 2. The exact value of sec 57 is O2 2V3 -2 2V3 3

A:

Q: Prove that: sec a + sec(120° +a)sec(120° – a) = –3 sec 3a

A: To prove that  secα+sec(120∘+α)sec(120∘-α)=-3sec3α

Q: 6. Show that (1) Cou(B1, g) = 0 (2) Cov(3o, B1) %3D

A:

Q: Prove that CP PS AM BN 9. MQ NR

A: Consider the equation

Q: 4.2 ezt So 2(z – ni)3d%, with C : |z – 3i| = 1.

A:

Q: (AB) = 30 (АВ) 3D 10 Calculate the Coefficient of Collignation. Given (aß) = 5 (а.В) %3D 5

A:

Q: in tions Practice - Add Su 3. 3D 5.

A:

Q: In the integration of (csc 5t)(cot 5t) dt, what is the correct "u"? O (csc 5t)(cot 5t) O csc 5t O…

A: I=∫csc5tcot5t dt Let 5t=u ⇒d(5t)=du⇒5 dt=du⇒dt=du5

Q: 10. f(x) =-x2 +3x+ m, y 4-IOBI = 10CI %3D A(ABC) = ? B.

A: As per guidelines, we will solve first question poste. 10) Given fx=-x2+3x+m 4OB=OC

Q: cos (o,+ O>)+ ì s:in (8,+Ə.)) Prove this kW- Mon 183O

A:

Q: A force of 14 lb is required to hold a spring stretched 4 in. beyond its natural length. How much…

A:

Q: Solve (y(1+1) + coxy) dan + [n+lope-nsmy] =

A: 25. The given differential equation is                                     y1+1x+cos ydx+x+log x-x…

Q: 10. If mLTSV = (6x + 17) and mSV = (15x + 13)", find mSUV. %3D T

A: Property used is (11) An exterior angle of a triangle is equal to the sum of the opposite interior…

Q: she has gotenng.uf of $2.60. 13lina is Saved. She hos a' C AlL of her Change dime S, or quaters, She…

A: Elina is gathering up change that she has saved and these are total $2.60. All of her change is in…

Q: 6) Prove mathematically that (1 grad = 0.9 deg)

A: We know, that 1grad= 0.9 deg.  we can solve any other similar problem by multiply the number of…

Q: (2, Prove that Ž (Pn+ Pn+1) hr 9=U (y+1) 27-²8 (14+ 2x=-1) y

A: What is Legendre Polynomial: Legendre polynomials are a set of complete and orthogonal polynomials…

Q: By 2 Cas X the Same. way prove that

A: Prove that J-12x=2πx cosx

Q: Then show that N(A) = R(AT)+ and N(AT) = R(A)+. %3D 11-1 02-3 -1 1-2 N(A) = N(AT) =

A:

Q: 14. If u(x, y) = x² cosh(xy² + 1), evaluate in the simplest term the expression ди 2х ди -- ax

A: We are using partial differentiation techniques. we have to recall the formula for differentiation…

Q: what expressi on is equivaient to this. (n-a)!

A: n!(n-2)!+n=n×(n-1)×(n-2)!(n-2)!+n  [we use the idea of factorial]=n(n-1)+n=n2-n+n  [distribute n]=n2

Q: . Prove that, e²i = e²1=22. ez2

A: Let,z1=x1+iy1z2=x2+iy2z1-z2=x1+iy1-x2+iy2=x1+iy1-x2-iy2z1-z2=x1-x2+iy1-y2…