12 Let A = -6 -2 -3 2. 2. 9. be siven い fo A is Spece C is coloumn Spece a) Find R a bo sis D for the Spece A. b) What is the motria of the cordinete (ast col dmn A with respect to the bo s.s (つ whit is the cordinote motrix of lost Mナ A besis B7 row of with to

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A: 1. evaluate  a) ∫01x2dx = [x3/3]01 = 1/3   b) ∫231/x2dx [-1/x]23 = -1/3 +1/2 = 1/6   c) ∫12x2dx =…

Q: O flsy) =x4y? Find all chtical Points iusity them aclarding [ocul may lochl min, on Saddie point as…

A: The given function is f(x,y)=x2-4y2

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A: The domain of the function is all the possible x values of the function. The range of the function…

Q: d Fill in the chort: use 3 2 lost 2 coso -) 30° 60° 120 180 240° 2300 3000 230° 160

A: The solution is given below

Q: a) Vse a canterexamje to show that cos(x+y) = CoSx+ co5y is Not on idertily on idently b) Drone the…

A: To prove, cos(x+y)=cosx+cosy  is not an identity let us consider a counterexample let x=30o and y =…

Q: 2) usins Culcuulus for parametrre curres. Show trat the aren of a idis e of radius Ris siren by…

A:

Q: find and classi f1 extrem um points of the func tion flriy)exěsing

A: First we will find all critical points.

Q: w. Determine He positive read rof of the fellowin equ. I Sinx =x? SinX = x Xe- o5, Xu=l, E= 2Y, by 2…

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Q: for for w= rs ,Y=uV S=uーv, find and Jw

A: Given w=rsr2+s2, r=uv, s=u-2v To find  ∂w∂u and ∂w∂v By chain rule,…

Q: Oo Detamine the locakion and ty pe af the Sinquhankes of the hellaing hunden O8 Detamine the ties…

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Q: Find dy if g-s(tant). and t= CostX)

A: Given functions,  y = sin (tan t) t = cos (x) the derivative to find is, dydx = dydtdxdt

Q: Coc-2). Find radius and interval d converginie osgiven powrr Serie. フい〇

A: To find the radius of convergence and interval of convergence of the power series…

Q: 2ove 기 whore c B the the circle 12/=3 ere Z =30 to Z = -3.

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Q: A Point in a cadrant IV s on the init Circle. T f ts X Coordinate is 12 find the EXact value Of its…

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Q: $r scolar product an R U Shoe that is in the form: %3D Co,1) where a,b,c, are real nombers Such thot…

A: The main objective is to prove that the scalar operator is positive definite.

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…

A: Interior angles polygon is given

Q: All 3 parts.

A: To find the slope of the tangent, we need f'(64)

Q: Q/Lx 5²= {(xX₂, X₁) ER² : x² + x² + x²³²-13 be centered in a ball (0,0,0) andradius 1 Prove that…

A:

Q: 1. Express each as a single trig ratio. a) Gos 20a cos 5a- sin 2 Oasin 5a b) sin 95° cos 45°- cos…

A:

Q: Let a = arcos/a and tan/B)= whe B is n Quadrant N. Usng this mformatien, euduate the 25 Stataments…

A: Given, a = arccos(-7/25) then cosa = -7/25 tanB = -3/4             B is in fourth quadrant

Q: At the point AI 2.4) was rotated counterclockwise A. LTS image would be located at 13 A'L 4-2) (21…

A: Let us take a random point x,y. If x,y is rotated counterclockwise by 90°, then the co-ordinates of…

Q: Q5) chang e the Po lar 2r=2+cos o.(2r-1) to Cartesian

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Q: Show that the function e cosy ti Siny) is an andlytic Runction 2 W= Sin Z Q2. Determine whe ther…

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Q: 2. MIE) = 50(l.as)E where tis the of years number Sinee 1997. la)is this exponentieul grouth or…

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Q: Coordinates Al1,3) B(2,5) c(3,6) Given the graph of the 26 function pli, Use left Riem- em sum with…

A: Let's find.

Q: What is the modulus of the compex number (4 + 5i) if it is converted to the trigonometric form? A…

A:

Q: ) Let à = psin(4)u, + p² Ug %3D Evaluate $ Ã. dl given that L is the contour of the following…

A: Given, A→=ρsinϕup→+ρ2uϕ→ The given diagram can be drawn as,

Q: 30 WWLH the equaHIon of the circle Pentered at -a,-8) With rOdius 3.

A:

Q: Evaluate fo dr by findingtunctionf C sach that EVf xy Xy VI+St

A: The solution is given as

Q: adrilaterals (b) Give a definition of a trapezoid so that only the first four, a, b, c, and d, of…

A: Solution ) a) trapezoid is a quadrilateral in which  one pair of parallel side and other pair  is…

Q: Evaluate arctan(sec t). 4

A: Evaluate arctan(sec ).

Q: SKESEH By HANO THE 6SR., T0 Fr, ANo 75 CONTOUR LINES ON THE BCow PLOT. Numasns Ropa SONT THE…

A: Given: The plot number represents the elevation To find the contour line 65 ft, 70ft, and 75ft.

Q: Get an infinite senis for li) T aud for üi Hint : for ci) younud to find a point at which the…

A: The posted question has multiple question so we will solve first question. For rest questions…

Q: Mae breennep TheoremtogvaksatefF.dr febeck the orientatioaofthelusne befere afflyine the themem fthe…

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Q: Laplace stanajoarm obtain sthe foslousing also. Oue sthe Specify hoc:- ci'as= t (et coset-se-2t)ult)…

A: i) Let the given equation for Laplace transform be  x(t)=(e-t cos 2t - se-2t) u(t) + e2t u(-t) / 2…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.