3 a) x;Yi i=1 3 2 b) Ex, Ey Σ i=2 i=1

Q: 1. AB and AC are tangent to OP. Find AB. 4 3y +4 B 1ly

A: here we will find AB,

Q: chen*(5) wave ps.wen & " 1.(4) (^) 你 尝 WP *$.$ s'ta) 109, F"0"

A: Topic:- derivatives

Q: Thm l1.2 Let (Csul be a (1) #(Sm.) sit Sue =s amolN ( Isu-si <E} is arfinite VerO, (2) If Csu) o…

A: Given Sn be a sequence. (1). To prove that ∃Snk such that limk→∞Snk=S⇔n∈ℕ| Sn-S&lt;ε is infinite for…

Q: 5. Show that if x,y∈Z and 3|x^2+y^2 then          3|x or 3|y 6. Show that if c=sa+tb where c=(a,b),…

A: Please check that x=1,y=3, then x^2+y^2=10 does not divide by 3. So  must 3|x and 3|y instead of 3|x…

Q: 2. Show that c(x, t) = solves 1 ac(x, t) 2 ax ac(x, 1) ar

A:

Q: 17. AABC - AXYZ (not shown). If AB = 5, BC = 8, XY = y, and YZ= 2y – 3, find y. 17. y = P Type here…

A: We have to find y from the given information

Q: 1. E is a triangle with vertices (1,0,0), (0, 3,0) and (0, 0, 2), with 8(x, y, z)=xz+1.

A: Note: As per our guidelines we are supposed to answer only one question and the rest can be…

Q: If I, = [x^tan"x dx, Prove that (n+1), + (n-1),,2 ° п 1 %3D 2 n

A:

Q: Suppose that S"(ax + b) cos x dx then the value of a equals

A: Given,           ∫0πax+bcosxdx=6To find: The value of a.

Q: XYZ is given with X(2, 0), Y(0, −2), and Z(−1, 1).  Which of the following can be used to prove that…

A: The answer is given as follows :

Q: Dipsonsiyel Dentlemler Sinay Asagıdati birinci drece difransiyel Denk- y/1) - T kosulunu seğlayn…

A:

Q: Chapter 13, Section 13.6, Question 001 Find Duf at P. S(x, y) = 3(1 + xy); P(1,3); u = Enter the…

A:

Q: 6.13 Show that t: = B,/[s//E=, (x;- %3D VI- r in (6.20). |

A:

Q: 3.5 30 21 Not drawn to scale. O SAS- Theorem O SA- Postulate O SSS- Theorem O AA- Theorem

A: There are 2 theorems for similiar triangles. SSS and AA theorem

Q: Find (1+i)10 using DeMoivre's Theorem

A:

Q: In A XYZ, ZZ is a right angle and mZX = 53°. Which statement is true O cos 53* YZ %3D XY XZ O tan…

A: From the given figure representative diagram is shown below:   With respect to ∠53°.…

Q: 1) Let c. 12i| =3 and I = e dz. then %3D I= 1o TTi? %3D

A:

Q: (6) Euter eio_ el" = Cos e +i Sino, whore i = J1. where i= JT,

A:

Q: (o, 1,) 1. find th directional denivatve in the dire chons of at 2 Gve inter pretahon of amp uted…

A:

Q: (6) If u, =*-!P«(x)Pn -1(x) dx, show that nu, + (n – 1)n-1 = 2, %3D and hence evaluate u„.

A: Given un=∫-11x-1PnxPn-1xdx

Q: Suppose, X0- Binom(m,0)and 0~ Beta(a, B), then E(X) is equals to, a) maß b) aß ma c) d) me

A: Given: Suppose,  Xθ~Binom(m,θ) and θ~Beta(α,β)

Q: 1. If PR = 25, QR = 6 and NR = 10, find MR. %3D %3D 2. If MR = 12, NR = 9 and PR =3 QR, find PR. %3D

A:

Q: 20. Let -(). -- (). (). u = w = If au + yv = w. (x, y E R), then a - y = (A) 2/3 (В) —3/2 (C) 3/2…

A: To find  The value of x-y

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

A:

Q: (-1+i/3)°, by using deMoivre 's theorem

A:

Q: Suppose csc(4) = 2 where A terminates in QIV, and sec(B) = -3 where B terminates in QII %3D

A: Given that                                     we have to find value of…

Q: Find and when (TU – V)² In(W – UV) = In(2) at the point (T, U, V, W) = (1, 1, 2, 4).

A:

Q: 22. Given: 4I 2 Prove: a. AJIG AJZY JG GI b. JY YZ Y

A:

Q: the following DE are Bernouli type and solve: 1. y’ – x = y 2. y’ + 5y/x = x 7 y 4

A:

Q: 1/w cos Tº If h(w) = 10 -dz then h'(w) = (m),4

A: Given:-h(w)=∫101wcosx9x2dxTo find: h'(w)

Q: 2. Given: XW = XY, HA I WY, KB 1 WY Prove: AHWA~AKYB. W.

A: Given that XW¯=XY¯ in ∆XWY. So, ∠XWY≅∠XYWor, ∠HWA≅∠KYBGiven that HA¯⊥WY¯, KB¯⊥WY¯So, ∠HAW≅∠KBY=90°

Q: xy In(r+1) rª + 3y? if (x, y) # ( g(x, y) = if (r, y) = ( %3D

A: In this question we will use basic concepts of calculus i.e concepts of limits in two variables. We…

Q: 1. If x, y, z E R, prove that (a) \x+y\ < \x| + \yl- (b) |x– y| < |x – z|+|z– y|, and (c) ||지| -…

A: Since you have posted a question with multiple sub-parts, we will solve the first three subparts for…

Q: . Let w- e*² <in Cyz)- e Yz cor Cxz) Find - W X

A:

Q: Solve the following IBVP: Ut = Urr, 0 0, u(0, t) = 1, u(1, t) = t, t > 0, u(x, 0) = 1 + sin(x) - x,…

A: Given:  ut = uxx, 0 &lt; x &lt; 1, t &gt; 0,  u(0, t) = 1, u(1, t) = t, t &gt; 0,  u(x, 0) = 1 +…

Q: %3D 20 24 tan 24 through solve this egni: Hint :oU=KL +2 =0 மு 3K²=Par ET %3D 2.

A:

Q: U Sin/X-Y Show that Itanu. 2. LL

A:

Q: Hw 2. Laleulate fez) dz = ? where Im(2) and cis

A:

Q: true or false without justify The sel { 1,2,t, 3,,4,+, csx, coss is mot Ti Bomded in (CToi], Ul6)…

A: True.

Q: 43. In 00, OY=5 and XZ = 6. If XW WY, find WZ.

A: Topic = Circle

Q: 6. Solve Pu ay au = 0 for 0<x< 1, 0<y<1, u(x, 0) = (1 – x)², и(х, 1) %3D 0, %3D du (0, y) = 0, ax и…

A:

Q: 31. *7/2 csc t cot t dt

A:

Q: 11T |13T V2 - V6, determine the value of sec 60. Given that sec 12 %3D 12

A:

Q: 1),Given: AB || CD; AC 1CD Find: x and y A, ax ay by 4,

A: Here given as Given  CD||AB Also given ∠ACD=90Then∠CAB=909x=90⇒x=10

Q: If z = exy where x = In(u + v) and y = sin(u-v), find az and az du

A: We use the partial derivatives and chain rule of differentiation to answer the given question.

Q: Find u(x, t) which solves the problem Utt = 9urr -00 < x < o0, - 0 <t <3; 1 u(x, 0) = 1+ x2 Ut(x, 0)…

A: D'Alembert Solution;    u(x,t)=ux,t=12f(x+ct)+f(x-ct)+12c∫x-ctx+ctg(ξ)dξ where u(x,0)=f(x),…

Q: 4: a) Let X.X., X -N (Hi,6f). Let Y,, Y2 Ym-N (u2,63). .... d (1-a) % CIfor oi when ai. a known.

A:

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.