Given u=(3, -2) and v=(-3, 2), determine -4u –v.

Q: If z=u+uv, u=x-2y, v=2x– y° , find the value of when x-1 and y=-1. a. 13 b. 5 C. 7

A: Given, z=u2+uv  where u=x-2y and v=2x-y2 We need to find the partial derivative of z wrt x, this can…

Q: ) Eliminate the arbitrary umstants of y= C, + C2 e ** + C3 e 3x

A: The given equation is y=c1+c2e2x+c3e-3x. We have to eliminate arbitrary constants c1, c2, c3. Since…

Q: 45 24 30

A: Given the triangle

Q: If ø = Vx + y+ z and ū = 'î + ĵ+ k , then V¢.ũ will be 3 V3 20 2ф

A: Step:-1 Given that ϕ=x+y+z, u→=i^+j^+k^ ∇→ϕ=∂∂xi+∂∂xj+∂∂xk x+y+z ∇→ϕ=12x+y+zi +12x+y+zj…

Q: Find d2u/dv2 given that: u = 28v + v4 – 9/2v

A:

Q: If ADEF AJKL, DE = 18, EF = 23, DF = 9x – 23, JL = 7x-11,and JK= 3y-21, find the values of x and y.…

A: Given : ∆DEF≅∆JKLDE=18EF=23DF=9x-23JL=7x-11JK=3y-12

Q: = u+y24 by Ucx, I) = 3x Ans./ uLx, y) = 3x*y

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Q: a, =-3, r=4, S =-4095 %3D %3D п

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Q: For v = (1, 4), w = (3, 2), calculate:(a) v + w (b) 5v

A: We have been given that v=(1,4) and w=(3,2)Our Aim is to calculate:-(a) v+w=(1,4)+(3,2)=(1+3,…

Q: Given z = (2x-y), find 0³ z (a) Əyəxəy 0³ z (b) ex²dy 24 = (c) ôxay

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Q: If f(r, v) = ry – ry", find 7 + ±),-.y-a

A: The power rule of differentiation states that d dxxp=pxp-1, where p is any real number. Use the…

Q: Find X ,Y and Z

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Q: M W Ne Y. Side WX corresponds with side

A: WXYZ ~ LMNO (from diagram)

Q: d'u ,00 %3D

A: In this question, we solve the wave equation by using the separation of the variable…

Q: Given u and v, find comp, u. u = [3, 7] v = [-7, 2] comp, u Ex: 1.234

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Q: Given u = 5) and v = (5, -4), calculate u· v.

A: u=<-4,5>, v=<5,-4>

Q: f(x.y) = 7x?y",camate and af and ,campute

A: Given fx,y=7x2y4we have to find ∂f∂x =?    and   ∂f∂y=?

Q: Find the values of x, y and z in the figure, where b = 4 and c = 16. (1.5z + b)° (1.5z –c)°%

A: Find the value of x , y and z                 where b=4 and c=16

Q: F = D/B ((A + 4) \ (C+ 1)), where A = 5, B = 4, C = 3, D = 12: %3D

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Q: Find C, (xy) if C(x.у) 2x? + 5ху - 9у? + 8х-Зу-9. Cx(x.y) =D

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Q: If m ÁD = BC = (5x + 35)°, find m ÁD. (19x - 49)° and m %3D B E

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Q: Write v as a linear combination of u and w, if possible, where u = (2, 3) and w = (1, −1). (Enter…

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Q: Find the value of x, y, and z. 58 y/ X,

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Q: Find m2Q. 2 2-/2 P mZQ = Submit

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Q: If WX = 3t - 45 and VY = t, what is Y? W V Y こ

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Q: 'll go, assuming that you go. [I, Y] A ( כ Y) B (I v Y) (c) (Y v I) D (Y = 1)

A: I will go, assuming that you go. [I,Y]

Q: You are given that ||u|| = 1, ||v|| = (би + v) . (и —2v) ? 2 and u • v = -1. What is the value of |

A: Given query is to find the value of indicated vector operation.

Q: Find u xv and determine whether u x v is directed into the screen or out of the screen. |v|= 4 45°…

A: We have a×b=absinθ So,  u×v=uvsin45°=3×4 sin45°=12×12=62 Hence, u×v=62

Q: Use the y = {a1,... , am | ß1, .., Bn} notation t

A: Given,           γ=α1,  . . ., αm| β1, . . ., βn

Q: Given u = 5i + 4j and v=4i-3j, determine -9u - v

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Q: Given x² + y? = 4, find

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Q: Find u v, u u, ||v||², (u · v)v, and u (3v). u = (3, 10), v = (-4, 3) %3D (a) (b) (c) ||v|

A: Since you have asked a question with multiple parts in a single request we would be answering only…

Q: Write v as a linear combination of u and w, if possible, where u = (3, 2) and w = (3, –1). (Enter…

A: Given: u=3, 2, v=6, 1 and w=3, -1. To write v as a linear combination of u and w. Solution: When one…

Q: r', where i =

A: As per rule, allowed to answer first question and post the remaining in the next submisison.

Q: can. Vn? - I (a) (b) (2--)(2*+)

A: Here first we show the sequence is increasing. Then show that it has a upper limit. This implies the…

Q: Find u · v, u· u, ||v||2, (u· v)v, and u · (3v). u = (4, -2, 5), v = = (0, 6, 3) (a) u V (b) (c)…

A: Since you have asked a question with multiple parts in a single request we would be answering only…

Q: Find x, y, and z* 3.

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Q: Write v as a linear combination of u and w, if possible, where u = (2, 2) and w = (2, –3). (Enter…

A: Solution is written in below steps.

Q: Which of the following grapins represents (x2}? + y + 47 = 25? - d 7 - 4 41 층 4 $ 4 2 .

A: The given equation is: x-22+y+42=25 First, draw the graph of the given equation.

Q: Find lul, Ivl, 12ul, |⁄2v|, lu + vl, lu − vl, and [u] – [v]. u = 2i + j, v = 4i - 5j

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Q: Y, =gt+e V =v; -B(r,-r)-we, + e T = m + a(v, -v;)– vae, + e %3D

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Q: If RS = 2y, QT = -9y + 60, and UV = 4y, what is the value of y? T. R V y L

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Q: Find the length of XY. X(0, -2) & Y (12, -7)

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Q: Determine a,î xb,j = a,b, G × D %3D а. a,by b. zero С. d. a,bz

A: As we know that cross product is given by i^×j^=k^j^×k^=i^k^×i^=j^

Q: If it was p(x, y, z) = /x² + y2 + z? find V ?+

A: The formula for ∇2ϕ=∂2ϕ∂x2+∂2ϕ∂y2+∂2ϕ∂z2

Q: Find x, y and z. 11. y 3.

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Q: Find the pointP such that v = PQ has the components (-9.75, 5.75, – 16.5). Q = (-7.75, 6.75, –9.5)…

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Q: is a linear combination of vi = V2 = V3 = 3. ylgn ihi

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Q: 7. || v dA, D= {(x, y) | -1< y< 1, -y - 2 <x<y} D.

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Q: If RS = -w + 32, QT = 8w – 13, and PU = 7w + 12, what is the value of w? %3D U T. R

A: we have to find the value of w.

Angles in Circles

Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.

Arcs in Circles

A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.