3. Find the distance between (-1, -7) and (5, 9). O V22 O 2v73 O 2v5 O 2V13

Q: 11. If a = y2 and b = y, and -1sys3, then what is the largest possible difference between a and b?…

A: Please refer the attached image for complete solution.

Q: 5. Find the on the interval [0, 4]

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Q: |=1|+ |= 2 | |- |- | 3. If z3 + z,, show that VI +

A:

Q: In AXYZ, mZY=76°, XY= 10, and XZ=11. To the nearest tenth, what is mZ? mZZ= (Do not round

A: Given XY = 10,  To find angle z in triangle XYZ

Q: 4. Find the cross product 7 x 7 given that d = (0, -4, 1) and ở = (1, 1, –2).

A:

Q: 5. Triangle JKL with verfices J(1,-1). K(2, 3), and L(3, -2): x=4 J': L': K'

A: In the question it is asked to take a mirror image of triangle ∆JKL about x=4. Coordinates of…

Q: O max(x,z) О тах(хә 10xz + 3x + z suисh that 3 > 6х + 3z. О mincә 10xz+ 3x + z such that 3 6х + 3z

A:

Q: Show that =- 5)" /31 + 6. 1 = 2 ) /7! + () /9! – ... %3D | -- IN

A: We know that, from the Taylor's formula for power series expansion of sinx is given as…

Q: 2 4 Ayz x = By + Cz' ||

A:

Q: 2. If y = x2 + 2 and u = 2x – 1, then du II

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Q: For u=⟨4,−2⟩ and v=⟨−5​,5⟩​,find u•v.

A:

Q: 2. Compute the value of | V25–x² dr

A: Given data:   The given integral expression is I=∫0525-x2dx.     Assume x=5sint, and differentiate…

Q: 9(r, t, г) — 5r(7 — сos(t)) — 82

A: We have to do partial differential here.

Q: 1. P+Q, -Q v -P 2. P, (P v Q) v P 3. Pv Q, P --> Q, -Q^ -P 4. -P-->-Q, Q-->P

A: This is a multipart question having more than 1 interrelated subparts. As per company policy, we…

Q: 10. Find x and y, given that (x² + y²,4) = (25, x).

A: When the Cartesian product is performed between two sets, as a result, an ordered pair is obtained.…

Q: For which values of ß does {(1,0, ß),(1,2,–3)(B,1,0)} span R'?

A: If spans the same subset of R³, the vectors must be linearly dependent to each other.    Therefore,…

Q: Show that 1/3  Tn +  2/3 Mn  = S 2n

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Q: 4. If /(r.y)=- , find f, and f,. V+y

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Q: find Lenjth f aueetors =く3,-S,l B=くW5> ジ,37 ond く2>

A: Given:- a = <3, -5, 10)> b = <1, 5> v = <2, 5> w = <2, 1>

Q: z equals 1 If 1, then וא

A:

Q: 2) Find x if mZGHI= 173", MZGHQ= 29 + x, and M2QHI = x+ 162. %3D

A:

Q: Find the angle (in DMS) between the line L1 through the points P1(2, 1, 4) and P2(–1, 4, 1) and the…

A:

Q: Solve the following IBVP: Utt = 4uzz 0 0, u, (0, t) = u,(27, t) = 0, t>0, u(x,0) = 0, 0<I< 2n, T.…

A:

Q: 6. Show that (1) Cou(B1, g) = 0 (2) Cov(3o, B1) %3D

A:

Q: 2. If AWXY~AVTU find the measure of ZT. W (2r-2) (8x- 7) Y (3r - 6)

A: Given  ∆WXY~∆VTU To find ∠T

Q: Q1 find acubie palonemiat ofk given-points for27,3},(2,12)e

A:

Q: Find speed and acceleration at a point (C,D), if distance of a particle is given by S = 2t^3− 3t^2…

A: The acceleration of an object is the rate of change of its velocity. The velocity of an object is…

Q: 9. Find the measure of Zu given that pllq. x-138 y-42

A:

Q: 10. Triangle JLM with verfices J(-5, 7), L(8, 3), and M(-3, -1): (0, - 5)

A:

Q: Let X-bin(18,0.6), then P(5 <= X < 10) is closest to:

A: Given,A random variable X~Binomial(18 , 0.6)P(X=x)=18x 0.6x1-0.618-x P(X=x)=18x 0.6x0.418-x    ;…

Q: 3. Find the deriotive of the Ronclion VE t6

A: to find the derivative of the following functionh(t)=tt+6

Q: 3. f(г, у) 3D In(х +y)

A: The differentiation of  ln x = 1x

Q: 3 For f(x,y) = In x+y°, 4,8)

A:

Q: 5. If x-xy + y = 3, find y' and y".

A: Solution 5: Given: x2-xy+y2=3

Q: The distance between u = (15, 7, 4, 6) and v = (3, 2, 1, 4) is 82 182 V182 O 48

A:

Q: 2 Test the distavnce formula fer froblem in Ex-© aboue unkarred coordnates ane (2,-1) and (2,-4) on…

A: Distance b/w (2,-1) and (2,-4) = ((2-2)2 +(-4+1)2)0.5…

Q: Find the Duf of S(x,y,z) = 3xvy+4xz² from Po(2,1,1) to P(4,7,2) %3D

A:

Q: In(2 + x – 2y2 – 3z), 7 =, then If f(x, y, z) Duf (2,-1, 1) = - A) 11

A:

Q: Show that if 0 <y<1, and Y ~ N(0,1), we have that 9 6 3 P\Y + %(x² – 1) < =] × + (V +1). -

A: Hello! As you have posted 2 different questions, we are answering the first question. In case you…

Q: What is the midpoint between z1 = 9i and z2 = 4? (2, 4.5) (-4,-9) (-2,-4.5) (4, 9)

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Q: Compute Projsw given by |2 -1 – 2 and S is defined by 8 [2 – 12]+t[-1 – 13], s,t e R. x = s ||

A:

Q: 7. If WX= 14 and WR = 8, find RZ. W Y R:

A: We use pythagorus theorem for right triangle to find the side XR and it can be seen that RZ=XR

Q: 2) Prove by using the pigeonhole principle that among any 17 points in a square of side one there is…

A: Given: A square of side one contains 17 points. To show: There is at least a pair whose distance is…

Q: х, у, Z) %3D ху rection of Ff to two d

A:

Q: (2) Find the value of ß (,-)

A:

Q: 2. If a b. C. d. csc 0-- -√√9+k² k -√√9-K² k -k √√9+k² -k √9-1² for in standard position, then coté…

A:

Q: (5x – 8)°, In ANOP, mZN mZO = (x – 5)°, and mZP = (6x + 1)°. Find m2O. -

A:

Q: Find a number z (except 0) such that Az³ + Bz²+ Cz = D 2 1 3 0 -2 -4 00 ^-[ ] ³-R2 :]-[+]-[1] B= 1 2…

A: Solution

Q: Find a number 8 such that if |x – 2| < 8, then |4x – 8| < ɛ, 11) where ɛ %3D 0.01.

A: Ffind the delta

Q: find w,, of ((1 + 2i) + (3 – 4i)) O1.12/13.28° O 2.11Z – 13.28° O 2.34Z – 19.38° O 2.11Z13.28°

A: Please find attachment for the details solution

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.