If æ?y + y³ = x – 1, then at (0,-1) is dz Select one: a. 0 O b.를 C.

Q: Given y = , y (0) = 1, h = 0.5. Find y (2) using the fourth-order RK

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Q: Find (au / ay) at the point (u,v) = (√6, − 1), if x = u² + v² and y= uv. ди (2) (Simplify your…

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Q: | P(An B) = ? a. {HH,TH} |B' = ? b. {HT, ТH} v A' ? с. 0.25 | P(AU B) = ? ]P(A) = P(B) = ? d. 0.75…

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Q: Find r'(t), r(t,), and r'(t,) for the given value of to: r(t) = (e, e2t), to = 0

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Q: Apply Uptimal obtain y, y₂₁ and y for the pr 3

A: given y'=t+2y h=0.1 and y0=1 to find the y1,y2,y3 proceed as follows Apply Runga Kutta 2 order…

Q: Show that for all formulas Y, Þ,0 € S(P), (y = 4) = -(4 ^ ¬b).

A: We need to prove that, φ⇒ψ≡¬φ∧¬ψ Now, constructing the truth table, φ ψ φ⇒ψ T T T T F F F T…

Q: If X and Y are independent RVs, then E(YIX) - F(Y) nd F(Y10

A: X and Y are independent then joint distribution of X and Y is  f(x,y)=f(x)f(y)

Q: Given TS and TU are midsegments, PR= 18.2, TS = 6.5. Find QU. P. T R OA. 13 Ов. 3.25 OC. 6.5 OD. 9.1

A: Topic:-  triangle

Q: 0(x. y) y= Vuv , then find 2. If x=, at (1,1) O(u.v)

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Q: In AFGH, FG || IJ. Given that HF=27, HI=12, and HJ= 20, find HG. G J. H

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Q: If ds dt Vst , and t = 0 and s = %3D 1, find s when t = 9. A. 81 В. 100 С. 121 D. 144

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Q: Q1/ If z = e*?y, x = Vuv, 1 y = Find: əz а- ди az b- dv

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Q: d? -(A+B) at t = 1. di?

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Q: Find he value of ds/du at u = 2 if s t2 + 5t and t (u? + 2u)/s %3D

A: Here, s=t2+5t and t=u2+2u13 So, s is a function t and t is a function of u. At u=2, t=(4+4)13=813=2

Q: et f(r, y) (-(4r + y)) Then %3D ardy

A: The given differential equation is: f(x,y)=-(4x+y)7

Q: Based on the information given calculate SSE and s?. n = 10, E(y-ybar)2 = 58, SSxy = 91, SSxx = 170…

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Q: Again differentiate with sespect to x we e?+ cs(xe? +e?) +C2 e? cje + C2 ze+ 2C2e? dz2 from O : cze?…

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Q: Fov Hems 11-19,find the indicated meaure R T. 17) if RS= 8 and ST =12 then RV = VT= 18) MLSXT= and…

A: Consider the given: 17) It is clear from the figure:RS=RVand,ST=VTSo, If RS = 8 then, RV=8So, If ST…

Q: If z = In /x? + y? , find x- X +y В. 1 С. D. Vx? + y? A.

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Q: If m m<Y, then which of the following gives the relationship between AC and XZ?

A: Given,   m∠B&gt;m∠Y

Q: 3) fex,y, z) =5x²y SE C: Pt) = (t°, t,ť> ost«l fdz Sef. FIND

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Q: (a) Oë + pà + pax = (b) # + mx(1 – ±²)+ vg(x) = Asparagus(t), x(1) = -5, ±(1) = 10…

A: This is a problem of IVP.

Q: 3 メSA Find ull pointe x*ャy+22=4 that i's closest qnd far thest the ( תוPa (3,レ-)

A: Given is equation of Sphere   x² + y² +z²=4 x² + y² +z² = 2²   equation of Sphere centre at…

Q: C) d4 器 ★竹+ s×M 3. %3D +2x 4. If ap diffelentiat e with les Pectto Subject. 1 / 7 l

A: given,        y=x44+2x2

Q: For z=-5x° and a 2yt pont PEIR?, we have dz dy. -2 What is the value ef P

A: Solution is given below:

Q: V T W If RVL TW, then the altitude to base TV of RSTV is RW. O True O False

A: This question can be solved using the concept of angles between two lines.

Q: If y = In(x – y) then y' at the polnt where y = 0 Is equal to Select one: b. 2 C. -2 d.=

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Q: Suppose that a?y +xz? = 3 and let u = -r³. Find the value of du when (x, y, z) = (1, –1,2). dz A) –2…

A: Given that: x2y + xz2= 3 and u=-x3 and (x,y,z)=(1,-1,2). We find du/dz ot differential with respect…

Q: ,-(ax²+2bxy+cy²) dædy = e (Hint: Let s = x+By and t = yx+8y, where (ad – BY)² = ac-b². Then ax?…

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Q: ex iR Py, z)-0 fined diz H and x=2-4

A: We have to find partial derivative.

Q: If Fu,y, z) = xzi + xyzj =ý k, find v.È %3D ........

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Q: If u = x²zî + yz?j – xyk and 0 = x²yz then find the value of u. (To)

A: Consider a function fx,y,z. The gradient of the function can be defined as, ∇→f=∂f∂xi^+∂f∂yj^+∂f∂zk^…

Q: I= || elx²+y?)² dA, where R R={(x,v)E R² | x²+y²s 25, x2 0}, then 25 si 25 4 75 ne625 <IS 25ne625 4…

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Q: FOR SET AND SOLUE 2 Y=x y =X S S x?y dy dx AND R R YOUR ANS WERS SHOULD AG REE.

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Q: Given y(t) = e-³tu(t) u(t + 3), where * denotes convolution operation. The value of y(t) as t → ∞o…

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Q: Given: y2, = uv4 + w*, y = u + ve"| z Find when u 1, v = 3, w = 0

A: We know:

Q: y =+ eğrisinin 1<x<4 aralığındaki yay uzunluğu aşağıdakilerden 12 hangisidir? 23 53 A) 12 B) 6. C) 6…

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Q: Ho We By the Same wayprove e that : X J, (x) V+1 xp

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Q: R and r are defined by E(r, – 5)(y – T) Sry VS., Syy SSR R2 r = SST' (1) Show R? = r².

A: If y = a+bx is the linear equation  Correlation attempts to measure the strength of the relationship…

Q: S = {(r, y, z) E R³ : 2? = x² + y°, 0 s< 4}. %3D Evaluate e dS.

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Q: To evaluate y?csc2(y³) cor?(y³)dy, we let u =cse(y³)

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Q: Given Yy - y = – ỹ Yy - y + y. - ỹ and (y — У )? [(Yj – J,) + ỹ, – ỹ )]² 2. %3D

A: Given that

Q: du ди Find and ds u = x• e'¨: u =x•e" ;x = In(s·t) , y = } , = = s² + ? . 2 ,==s² + t

A: According to the problem, we have

Q: fx = e" tan v, y = e" sec v, then the value of X +y X +y is

A: In this question, the concept of the derivative is used to calculate partial derivatives. Derivative…

Q: WY is a midsegment of AUVX. If UV = p + 3 and WY = p + 1, what is the value of p? W V Y U p =

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Q: Q Given fexy) xy( /(+ and at when Shaw that Fry +fyx

A: In the question, we have to show fxy = fyx instead of fxy ≠ fyx because fxy ≠ fyx is not possible.…

Q: Given f(x, y) = ex° fæy = fyx. ,8 x°yt, show that ,8,

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Q: Evaluate SSS9e=+y²+=?)** dV over B where B = {(x, y, 2) : a? + y? + z? < 1}. Take = 3.

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Q: 7.) Find r'(t), r"(+) , r'(t) · r"(+) and r'(+) x p"(t) r(+) = +*-at) +우 %3D 2 9. a.r' (t) = ? %3D…

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Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.