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Q: Find paromet ric aquation of Line L where to paiut A(Xmiya) is and

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Q: Show tuat a fuinchon fiR?>Rlefined by 3ں۔x5 ,ie (xxy]#Cojo) f cary)e je xcy=o Is continuous at (o,e)

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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: Suppose P,Q,R,S are four collinear points such that: a. Q is between P and R. b. Ris between Q and…

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Q: Find the family of orthogonal trageclarnes fo he for

A: Given that            y3 = k x5 Here we have to find the family of orthogonal trajectories to the…

Q: every vertor (en Sination of Hhe vertars (e, 2) and {-2,1)? ☺ Is linem reitars Provida why Jatailad…

A: Solution is given by using linear independence of vectors as follows :

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: 2. If B is the midpoint of AC, which of the, following must be true? I. АВ + ВС 3D АС II. 2ВС - АС…

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Q: Compute ff, x²ydA,where Dis the triangle bounded by x = 2, y = 1, y = 1 –

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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…

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Q: Derive the frenet frame, curvature and torison o the binormal indicatrix of hypocycloid?

A: We need to Derive the fernet frame, curvature and torsion o the binormal indicatrix of hypocycloid.

Q: Find the divectional desivative of div (anadF) he point (1,1,2) in the direction of 3 2 at The -i+…

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Q: 2. If AQRS = AXYZ then. QR= RS= LXZY=, State if the trionel

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Q: Determine the measure of the interior angle at vertex F. 4x 4x 4x 4x 2х 2x F A OA. 54 Ов. 36 Ос. 108…

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Q: 9. If QS bisects ZPQT, MZSQT = (8x – 25), %3D measure. S T R

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

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Q: 16. Obtain the toigonometric fouries seajes for A fit) > wt 277

A: The given image is of sine wave form. Here, period T=πand so, w0=2πT=2ππ=π

Q: et X~U([-, 1) and let y = tan(r), show that y Cauchy(0, 1)

A: # using Jacobian transformation we have proved that y=tanx follow Cauchy distribution (0, 1)

Q: Find the cquatio0 of Point (62)and parallel strataht ine theaugh the t0ine

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Q: Evaluate 36e dz, where C'is the polygonal path Oto consisting of the line segments from z = 0to z =…

A: The given integral is                                       ∫C36ezdz,  where C is the polynomial…

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: of the fillowng Cuve. Aearly ntereepts on the axes O point of Inflechion

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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: Below A JKL was rotated 270 counterclockwise about point J to create AJ'K'L What would be rule that…

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Q: Use the composite trapezoidal rule to compute Jo e dx correct to 3 significant gures, taking 5…

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Q: Line p is tangent to ⊙C at A, and line q passes through C. Lines p and q intersect at B. If…

A: Given that-  There is a Circle having center c. Line p in tangent to circle which touches it point…

Q: In APOR, PRisestended through point R to point S, mLQRS = (7z + 8)°. mRPQ = (= + 12). and m/PQR =…

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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: obtain the value of b. regaring e conomethies and the forme 4= bo t bi Xi Y=bot bixitei

A: For the given linear regression line and its estimate: Y = b0 + b1Xi + ei y^ = b0 + b1 Xi We need to…

Q: The diagonals of rectangle QRST intersect at P. Given thạt m/PTS = 34° and QS = 10 , find MZSRT. 34°…

A: In triangle RST angle S + angle(srt) + angle  (rts) = 180 90 + angle (srt) +34= 180 Angle (srt) = 56

Q: 2.) Use the chain cule to find dz and d ond guen the fllowng: Yoy must show in work that your the…

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Q: Given a tuuo Varialle findio ulm,t) =_\ _ė K ù a contant 2 show that du kou Ž Evalnati S uln,t) dm

A: The given function is: u(x,t)=14πkte-x24kt

Q: iven: Wz YZ WY I XZ 8. Are the two triangles congruent? YES, by the. rule NO, because... Y W

A: Two figure are congruent if it have same size and shape. A perpendicular bisector is a line which…

Q: Tis the midpoint of RV Prove: ARST ATUV

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Q: (1) If O is not in Quadraut I and Sec e = V2 , find degres.

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Q: f Shoo that the interior operat1on has the tollouni ng Propeities. if E, CE2, then interier (E) C…

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Q: 1) (a) Evaluate |(2² – y°)dz +2rydy, along the circular C that is upper half-circle oriented…

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A: The work done is the line integral o the force along the given path C, W=∫CF.dr Apply Stokes…

Q: Use the trapezoidal rule with n = 2 to estimate - dz. Hint 1 Set Ar = -. The endpoints of the…

A: Trapezoidal Rule :         ∫ab f(x) dx ≈ ∆x2 f(x0) +2 fx1 + 2fx2+...+2fxn-1+fxn ; where ∆x = b-an.

Q: O Find tor foaunctric yuatrn yzl+2tan o, 1: 2rseco

A: y=1+2tan∅x=2+sec∅find d2yd∅2 Since multiple questions are asked, according to guidelines, I am…

Q: Show that LM = 2AB.

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Q: Derive the frenet frame, curvature and torison of the binormal indicatrix of hypocycloid?

A: We need to Derive the fernet frame, curvature and torsion o the binormal indicatrix of hypocycloid.

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

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.