Desaf be all furctions u=fG) which are defined forall XER and satisfu the equation fG)= 1 fx)

Q: Exerca se : A. Describe each of the ff egns, gining ts ordey Cond telling whether it is ordinhar, Gr…

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Q: Use set buiela motañoo& oul rilles of Wogi Cal equivolences to Suow thied AnB = A UB.

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Q: 2. Cuven that 7, = -2 +ui, Z= -2i + 3 and E, - |-i. Gvaluate the followshng %3D 2 | 국 2

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Q: O REDMI NOTE 9S Solve the disserential equat ilon with disscussion of Soluiton? x4-y=4²XLincx) %3D

A: Given differential equation is xy'-y=y2×lnx.

Q: Q: Show that the functi on f:R →R given by f (x) = ax +b, where ab e R, a #0 is a bijection.

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Q: A cubpe spline $ s defined by 13 Sole). otm Sis a nutral Eubie Spline fral EubicSoline

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Q: Prove that - V ニ soL 2m+V-V d. (1) m! Pempv +1) m!Pem+v +1) Atur m20 2. m26 2

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Q: Find the projesiin Fisi+2j intro - Scaher componet

A: The vector equation is F=5i+2j. The vector equation is v=i-3j

Q: Show that : sup {reQ:r<a} =a, for each a e R. %3D

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Q: In AHIJ, ZI ZH, HI = 14 and JH = 15. Find the length ofIJ. %3D

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Q: Given the mife has betweeu so oud $ 50,000 of msurauce what ios s the ebatily probabii tū between 0…

A: The conditional probability formula is, PA|B=PA∩BPB The row totals and column totals are,   0 -…

Q: an Prove that n! ell7. dz 2ni (Z)n+1 Where C is a circle 1Z| 3D1 %3!

A: We have to prove that ann!=12πi∫Ceazdzzn+1, where C is the circle z=1 Use theorem which is given…

Q: Find all angles between 0 and 2T satisfying the condition -1 Cs x = Separate your answers with…

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Q: PN bisects MQ ZM and 2Q are right angles ΔΡOR ΔΝMR Given: Prove: R

A: Given:         PN→ bisect MQ→.∠M and  ∠Q are right angles.

Q: 4. Prove the following. Given: Parallelogram ABCD; Z BAD = L CBD Prove: AABD is isosceles A…

A: Given □ABCD is parallelogram,Given ∠BAD=∠CBD                            (1)Aim : △ABD is isosceles…

Q: Use the given information to prove that ARST AVUT. V R Given: ST UT ZSRT LUVT T U S. Prove: ARST…

A: ST=UT and ∠SRT=∠UVT in the adjoining figure

Q: D is the mid point of the side ВС of ДАВС;B ВЕ is perpendicular from В to the external bisector of…

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Q: When using Simpson's rule we must having two distinct point Select one: O True O False

A: Simpson's rule is used to calculate the value of definite integral by approximating area of the cure…

Q: Dyani wrote a proof to show that ZXWY ZYZX. What is her error? Since ZWXZ LZYW, LXZW LYWZ, and XW…

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Q: he DE. of au staght Linewian tani t Find tove distance from the Abhishek Sinah

A: let the equation of a line be y = mx+c          (1)

Q: Let R= (1,5). Calculate the length of OR. %3D

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Q: 2. (– 13 + 3i)31

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Q: Let W = Lin and U= Lin 2 (a) Show that R' = W U. Explain.

A: Note:- As per our guidelines, we can answer the first part of this problem as all the parts are…

Q: Quadrilateral RSTU with diagonal US ZR and ZTUS are right Zs TS > UR Given: Prove: U

A: Apply Pythagoras theorem on △URS. UR2+RS2=US2 . . . . . . . (1) Apply Pythagoras theorem on △TUS.…

Q: Find the naetan gularu coorndinates od the point (2,7/4, T) which is in sphanieal coonudinates,…

A: The given spherical coordinates of the vector are: (r,θ,ϕ)=2,π4,π⇒r=2, θ=π4, ϕ=π

Q: W Given: OWXYZ with diagonals WY and XZ Prove: 21 = 22 2

A: Given: In figure  WXYZ is a rectangle with diagonals WY and XZ. To show: ∠1≅∠2

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

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

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Q: Lauen is making a roof made of tarpanlin and stretched at pointa A, H, and C which are ocated in a…

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Q: 2. Prove this using indirect proof in two-column form. Given: MP I NO Prove: ZNPM is not a straight…

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Q: dual of c, is isometric to l'.

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Q: Which rec tor lield s are not conservative %3D O F(ay)= (3x² - 4 y 4y=-2x> r.

A: Note : As per authoring guidelines, when multiple subparts are posted, then only first three…

Q: Complete the proof that RT || UW. W Statement Reason ZSVU E 2TSV ZQSR E ZTSV ZSVU = ZQSR 4 RT UW…

A: The given query is to find the correct reason for the statement.

Q: 3. If u= (x+y +z') , prove that +y

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Q: The diagram below illustrates the construction of PS parallel to RQ through point P. 3/2 Which…

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Q: Let V, 3 V3 = Vz= -3 8. %3D 131 2- -5 does { Vi,UeiVa} span R3?

A: Given vectors, v1 = 06-2 , v2 = 0-38 and v3 = 4-1-5 These vectors will span ℝ3 if they are linearly…

Q: Find the angle planes 3xx + z=land radans between the Sy +z=. in

A: We use dot product between Normal vectors of given planes to find angle between these two planes

Q: 2.) Example: Prove the Symmetric Property for the line segments. Given: PQ XY Prove: XY PQ P. Y Q

A: For the given line segments PQ≅XY

Q: /show that fo-1x is-Contindals everywhere.

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Q: 29. The equivalent resistance, Reg, of four resis- tors, R,, R2, R3, and R4, that are connected eq…

A: #29 Find r eq

Q: Tis the midpoint of RV Prove: ARST ATUV

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Q: prove with a table if x → y then xor y xor y = y

A: Please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: a) Suppose that you wish to prove that ARST = ASRV. Using the reason Identity, name one pair of…

A: Given: We wish to have the triangle RST and triangle RSV to be congruent.

Q: SU SW. Complete the proof that ASTW ASXU. T. V W Statement ZW ZU SU N SW ZS ZS 4 ASTW ASXU 2.

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Q: 7. What additional piece is needed to prove JMLK is a rhombus ?

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Q: uppose that X~N(µ, o²) and that P(X 3.6) = 0.6554, what are the alues of u and o?

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Q: Given: APQR has a right 2Q. M is the midpoint of PR. Prove: MP = MQ = MR

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