Q.1) Evaluate # dydx 4

Q: fand solednen of aDE ( yoann) dy = (x.y ca) %3D

A: The given problem is to solve the given ordinary differential equation. Given ODE…

Q: 1. Evaluate dydx

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Q: show that }I f,lm) Ck-m) 2.

A: For, ∑m=0kf1mf2k-m, substitute k-m=n or m=k-n: ∑m=0kf1mf2k-m=∑k-n=0kf1k-nf2k-k-n…

Q: 2) Show that the cosine(45°) = V2 * (0.707). Let “u" = 22.5°, use calculator. %3D - 2

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Q: ,2x. General solutton ? %3D

A: Note: As per bartleby instruction when more then one question is given only one has to be answered.…

Q: 16. If m/STU = (13x – 6)', mSƯ = (21x + 8)', and mUT = 143', find mST. %3D %3D U T

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Q: if y = secx prove that y^2+y=2y^3

A: Equation relates the number of variables combined together by algebraic entities using equality…

Q: Give the condition which ensure that Je-| < 1 where z E C.

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Q: 2. If mZMKL = 83°, mZJKL = 127°, and MZJKM = (9x - 10)°, find the value of x. %3D %3D %3D J MA

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

Q: dy ({})y+3

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Q: find the Solehion dy'= 4t + 2e

A: Given the differential equation :

Q: (b) In(2x2 + у — 23) %3D х

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Q: у" + Зу" + Зу' +у%3D0

A: We have to solve the differential equations

Q: Solve min udr, subject to u(0) = 0, u(1) = 1, ur'dr = c %3D =C.

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Q: If (x, y) = (-V3, 1) , then find r and 0.

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Q: and Z , if y=0 Solue %3D By using Direct melh oel.

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Q: given that y = 1 eries with h = 0.

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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: 1. Construct the bisector of XY.

A: We need to draw bisector of line. AS per our guidelines we can not solve multiple questions so I am…

Q: Suppose that two nondimensional quantities are exactly A chapter, express the four quantities (A+B),…

A: Given,          A=8.73       3 siginficant figuresB=1.389     4 siginficant figures

Q: 1 Assume that 1 < a < b_and equation is solvable. + x = Show that this * – b'

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Q: Sy²el+2y®dy

A: Consider the indefinite integral ∫y2 e1+2y3 dy to evaluate the above indefinite integral, use the…

Q: Find the value of X and Y in given that; 1 - 2y 4 7 2 2 - 2x 4 - 5 I3D 3. 2.

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Q: ome 9/ for Find The domain Dp and Rag Re De fallowing fandinse,

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Q: Given: 5x+4y= 24, x + 7y= 11; Prove: y = 1

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Q: Show that f: R → R defined as f(a) = 3a³- 4 is a one to one %3D iuicuon.

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Q: 14 11 " f(2)da - /" f(=)dz = [ f(=)dz where a = and b = Question Help: D Post to forum

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Q: If i = xi+yi+zk then grad (r") is equal to

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Q: SHOW that V Ź a? Jor a, E IR when His ineguaity e kold .

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Q: (c) Show that |(−1,1)| = |R|, where (−1, 1) = {x € R : −1 < x < 1}.

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Q: If In(ax)dx = 2, then a = %3D 1

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Q: In(y) 6° Evaluate dy.

A: Consider  I=∫19ln(y)ydy

Q: FIND dy AMD dy AMD Gint OF

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Q: If ø(x, y, z) = ry²z find grad ø at (2, – 1, 3).

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Q: Q- show that yo+(?) sy + (2) B²y_₁ = y + (1) DY...+ (1²¹) Ay -

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Q: If E?uz = x² and h = 1, then find ux. %3D

A: The objective is to find ux. Given information is: E2ux=x2, and h=1.

Q: firved さ。 rom the follow fallowsiy fuetiong X3 らt2X+ xて y2 フ

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Q: 16. If ZSTU = (13r-6)', mSU = (21x + 8)', and mUT = 143', find mST. %3D %3D %3D T.

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

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Q: show that fo=Ixl is Conlindalus everyuhere

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: If [ In(ax)dx = 3, then a %3D 1

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Q: If x=sect and Y ztan t, evaluete at 1of the Following to %3D イット

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Q: Calculate az/ax, where xez + zeY = x + y.

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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: l? sc tue suell metuozd to fired tue voune of te Solid genented the by rerolning the plene rgim…

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Q: Ihow do you bnd the imit of as x approaches 0?

A: The limit of x+1-1x as x approaches to 0

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.