Ose the quadratic formola to solue for x. Ax+9x-1=D0 (If there is more than one solutiont seperate them with commas.)

Q: 1. Which of the following is a quadratic equation? [NCERT Exem (a) x2 + 2x + 1 = (4-x) + 3 (b)- 2x…

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Q: Hind the cooffecPents + ax tb=0, where c = 3 anod x =-2 are tha roots a anod b f1om the oquatfon,

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Q: A. Find the general solution of the following DE using the methods introduced in this unit unless…

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Q: Find the oades and degsee ot e"y" - 3(y) + 22y =xeX and waite tie diffes ential equation in nosmal…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: George is standing in front of a silo and can only see as far as the diagram shows. Determine the…

A: By two-tangent theorem,tangents which meet at the same point are equal in length

Q: Let y(x) be the solution of the IVP dy - (y-4)²dx=0, y(0)=3 Evaluate y(11). You have to round your…

A: An Initial Value Problem  IVP) is a differential equation along with an appropriate number of…

Q: x+ 3 b. J, x2-3x- 10

A: Trapezoidal rule: ∫abf(x)dx =(h/2)[f(x0)+2f(x1)+2f(x2)+2f(x3)+.....+2f(xn-1)+f(xn)] where h=step…

Q: refer to the given: (D* + 6D: + 9)y = 0 Solve for the roots: +/- V2i , +/- VZi +/- V4i , +/- V4i A.…

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Q: Determine constants a, b, c and d that will produce a quadrature formula f (x) dæ z af (-1)+bf (1) +…

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Q: alue of the discriminant. ow many roots and what types roots they are. act solutions by using the…

A: value of discriminant =b^2-4ac where a=1, b=-5, c=-24

Q: 04. Show that T = satisfies the equation T + Tyy = T³. %3D

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Q: B) The roots of HX-3X + 2 =o are a and B. Snd s Land x+P equation whose roots Mew are

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Q: 4. Determine constants a, b, c, d and e that will produce a quadratic formula Lf(x)dx = af(-1) +…

A: Given that,  To hold for polynomials Plugging these into the formula.…

Q: 5. Find which of the following quadrature formulas are of the interpolatory type. Show your…

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Q: Ex/solve he quations using Gram ers vule 2x -y+3Z= -S X+y-z= - 1 -2x+ 3-2z=

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Q: Evercie Ge he solations to the fellwing qadratic ti haing eal cients (d) x²+4x+9=0

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Q: A. Find the general solution of the following DE using the methods introduced in this unit unless…

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Q: A. Find the general solution of the following DE using the methods introduced in this unit unless…

A: Differential equations

Q: Q3/ Find length of the cardioid r-a@3from 0 = 0 to 0 = n %3D

A: The equation of the cardioid is r=aθ3. The length of the cardioid is given by the formula,…

Q: Find the length of the curve. x = 4r°, y = 6t, 0sts V8 < = 3 The length of the curve x = 4t°, y 6t…

A: Givenx=4t3  y=6t2   where t∈[0,8 ].

Q: (10n + 19)° (12n – 4)°

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Q: ~) suppre z is a funetion of x and y, and ascx2+yz:2y erinx Solve for dz and dz

A: This is a problem 0f several variables.

Q: enis ppemial qualatefactorg divided diridedy an_equation for ffiy nd hence 19, 3. x²1and the…

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Q: Let xy"-7xy'+1Gy De how that y =XF quolution to the equation wuve seduction of osdes tofind the…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find which of the following quadrature formulas are of the interpolatory type. Show your analysis.…

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Q: 6. If EG is a perpendicular bisector of DF. Find the value of x. x + 6 2x D

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Q: Find the length of the parabola given by c(t) = (t, 1) for 0 < 1 < 5. Hint: Use the formula / VI+i'…

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Q: P Uxy + u = 0 a²u x2 at2

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Q: A. Find the general solution of the following DE using the methods introduced in this unit unless…

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Q: alve the following problem by y' = 1 ++ xy yca? = 1 , k = 0.1 a two-step methad.

A: Please refer to the image below

Q: EX8- Ver.iny. Fubinis.thearem.by..Evalmating.S.xy.da.…

A: We have to evaluate the double integral ∬ DxydA where D is the region bounded by y=x-1 and  y2=2x+6.…

Q: Find the follaing clifferential equation dy tay dx² : (05(3x) -I5x +7+eX Find a Sdlution n such that…

A: Solve by variation of parameters.

Q: A particle moving in a straight line covers a distance of x cm in t second, where x = t³ + 6t² − 15t…

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Q: Q3/ Find length of the cardioid r=a03from 0 = 0 to 0 = t %3D

A: By using length formula we find the length of given cardioid as follows :

Q: 3) The roots of HX-3X+2 =o are dand B.Snd the eqution whose nots are Land +P Mew

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Q: a) Given that y = 2t2 +t - 6 and x t2 -3t +5, %3D Find x in terms of t i. ii. in terms of t

A: Hello thanks for your question but according to our policy I am answering the very first question.…

Q: Find the eror in the work, then correct the mistake and find the correct answer Step Equation nol…

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Q: Use undetermined coefficients metho to find the generel solution to the given DES - (3) (c) j +4y'=…

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Q: Q1/ Find the cubic root of Z = -i?

A: As per our guideline we are allowed to do 1 question at a time. Please post other questions next…

Q: (D++D²)y=3x²+4sin(x) – 2cos(x)

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Q: Find the values of constant coefficients a, b, c, d such that the following function -1+ax+bx³, if…

A: Here, S is continuous on the interval [0,2]. Hence,…

Q: D. The roots are ationara 7. Which of the following quadratic equations has no real roots? A. 2x2 +…

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: 2 Use the equation y=l3-x 13-X %3D of Solutions below (find bott Show woric メ」 -3 10 4 4

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Q: Sketch the quadratic form z = 16x^2 + 8xy + y^2

A: The given quadratic form is: z=16x2+8xy+y2 Or, zx, y=16x2+8xy+y2 This quadratic equation represents…

Q: Find the change of variable x = Py that transforms the quadratic form x'Ax into y' Dy as shown…

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Q: L(x)=mx+b is the linearization of the cube root of 3x+1 at x=333 , then b=? Use L(x) to approximate…

A: Please go through the attached solution. I hope that it  will help you .Thankyou . Best regards.

Q: C Classify AABC (Hint: solve for x first) (GCO.9a) B. A) Acute B) Obtuse 26х + 6° C) Right D)…

A: If one angle of triangle more than 90° then it is obtuse triangle If all angle less than 90° then it…

Q: Determine the roots of the following d.e.: y = ce-X + c2e(2+v3)x + c3e(2-v3)x

A: We can find the roots from the given equation.

Q: d. Using the charactereistic equations = 2y-r and n-y-z reduce the following PDE into canonocal…

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Vector Arithmetic

Vectors are those objects which have a magnitude along with the direction. In vector arithmetic, we will see how arithmetic operators like addition and multiplication are used on any two vectors. Arithmetic in basic means dealing with numbers. Here, magnitude means the length or the size of an object. The notation used is the arrow over the head of the vector indicating its direction.

Vector Calculus

Vector calculus is an important branch of mathematics and it relates two important branches of mathematics namely vector and calculus.