show thatt elipoid at makimum volum e s ephere y2 22 az V= 4ñabc

Q: if Z= とan'Y final dž In Point C!,!)

A:

Q: Evalnate the SSce'tzxy+j) dydx when SterSizeof x =0:2 and s óep sizcof y-o.8

A: See the attachment

Q: M Evaluate Hlhe Cylubeal coondnutes duergerce er S 0 urrrez)= where い

A: The general form of a vector-valued function in a cylindrical coordinate system is given by…

Q: Find if y dy et 2а?+3я — 2 -

A:

Q: 5 Calculate, without using a calculator, the value of w in AWRK if r= 40 mm, R= 45° and W= 60°. Give…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Given P(A) = 0.53, PLB) = 0.34, and the fact that e vents A and B are independont wha t is PlA and…

A: According to the given information, we have P(A) = 0.53 P(B) = 0.34 Events A and B are independent.

Q: ex: W= Show that wxy=wyX

A: On solving this we will get:-

Q: b) Sc dz, where C: z - il = 1. Jc (z-0

A: Integration by using Cauchy value theorem

Q: Pind the se Cond derivoitike of the funchen derivatıve of Chou pa (x) =

A:

Q: Let z 2ev Then: 8z 8z dy sissis

A:

Q: selve the followig system usig Jacabiitecation me thod use xs (o.s o.sos toXt

A:

Q: is tG following Conresger Os diveeg fao - X

A: Given: [They not mention the limit values ]. The given function is f(x)=x1n or  xn.

Q: OVIS lhigaimad goinisab A awordz n El 2nibs to s(t) milov ad sd osvig 2000 W x(t)

A:

Q: If x-Exp(5), then M,(t) is

A: Given,X~Exp(5)f(x)=5e-5x  ;   x≥0

Q: #10

A: First we separate the variables then integrate both sides

Q: a. (2Du + v)T|

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: 5) ΔLMN= ΔDEC 6) ΔTSR ΔLJK R. S. ZN = ? ZS = ? 7) △XWY츠 ΔUTS 8) ΔBACAMKL VA ZY ? ZB =?

A:

Q: || es / MATHT02-AIl dx x244 ²+3 In 13 2+2 In

A:

Q: 2) prone À . § = A, Bx +Ay By + Az Bz %3D

A:

Q: Show that J74) LOSK +Sinn 2. %3D TIX

A:

Q: What is the degree of this DE? * dy 4 O 6 . O 2 O 1

A:

Q: If y = 5u² + 1; u= 2 , find dy %3D do O 21 O 20 O 11 O 10

A: Given : y=5u2+1 ; u=2x   To Find : dydx

Q: 2Iny dy ,2Iny coth e S y csche?y coth e

A:

Q: y' + y = y²

A: Given: Now,           y' +y=y2⇒dyy2-y=dtIntegrating both sides we get,⇒y=11-et+c1

Q: Solve the following first-order linear DE's. yE) = 1 y' + (cotx)y = xcscx, %3D

A: Proceed as shown below

Q: If ADEF ARST, then we can conclude that ZR

A: Explanation of the solution is given below...

Q: 1) ACDE = ACLN E D ZD= ? A) NC C) ZL B) ZN D) ZNCL OD O B O A

A: The corresponding angles of two congruent triangles are congruent and the angle corresponding to…

Q: Show thet the fens- 14 ベ+ ナ (A+1)(2p+1) (P+1) (241)(38+) (uluse convedges if 8a and divesgus if Bsd…

A: We will use the following results to solve the given problem : Result 1 : ( Ratio Test )  Suppose…

Q: 3. fualende Zdv, where, E- (nyE):0くn<l,o<y<1-n,oくまく1-1-

A: We have to evaluate the triple integral ∭E z dV where E is the region containing the set of points…

Q: In(y) 6° Evaluate dy.

A: Consider  I=∫19ln(y)ydy

Q: Given: ORSTV; VW RS; VX 1 TS Prove: AVWR AVXT ~ R S. W

A: Given that, in parallelogram RSTV: VW is perpendicular to RS and VX is perpendicular to TS. We have…

Q: find he querage vallwe of he fanction z-cor ox m De mternal ( )

A: fx=x-cos26x,   0, π6.

Q: 4)Evaluate tay-ydady Where Sis a Lringle with Veetui (0,0),10,1-(0,D.

A:

Q: noger whare : y's Fl7. ) Homogencus writter us Example 2: y'- 3yay %3D

A:

Q: Show that the D.E 7 sotu neous dud fiend the perticular ven the bocundany home (endition.

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

Q: C) prave that sbatz = Clnrtt - an for all nE B, Nzl. %3D |

A: We will prove the relation of part c by mathematical inducation.

Q: Find the discontinnity point of &Cz): ニ そzそ+

A: Given that, the function is fz=z+1z2+2z+1. Set z2+2z+1=0 to find the undefined points. Compare the…

Q: Let C: z-il-3 and I = 6. edz $ dz. Then z2 O I- 1= 4ni

A:

Q: Check That

A: Given: ∂2W∂U∂T=∂2W∂T∂U  for W=eUT

Q: (d) Could p(y) for y = 1, ..., 6 be the pmf of Y? 92 --Select-- , because p(y) : y = 1

A: The given function is P(y) =y2 /92         y=1,2,3,4,5,6

Q: toxyız)=e xehe of Lexe fie rehe rexe

A:

Q: If ST SV, MSUT = w + 10°, and mZSUV = 3w, %3D V What is the m<SUT?

A: Given- ST≅SV , m∠SUT=w+10∘ , m∠SUV=3wTo find -m∠SUT

Q: write the aufubal accleration du d= df dw: 2dt WA S St dwp = 0 gelateen, (3+ + 2) d+

A:

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: If dy4 then 3 meN such that d- 634

A:

Q: Obtain Llerf x; p). Hence deduce the value of Lierf (bx); pl.

A: