1. Consider A = (0,4, 2), B = (6,0, 0) and C = (3,0,-1). %3D %3D %3D | (a) Find the unit vector in the same direction as B-2A+ C. (b) Draw the vector you get in (a). (c) Determine A (B+C).

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Q: QUESTION 9 What is the biconditional of the following conditional statement: "If two segments have…

A: Biconditional statements are those which have if and only if condition.    From the given statement,…

Q: 4. f(t) = teatcosbt %3D

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Q: az Let z = x? + y°, x = 2st, y = s - t, s = u", and t = u sin w. Compute for and %3D

A: Notice that z is a function of x and y; x and y both are functions of s and t ; s and t are…

Q: 4. Let L:R? - R³ be the linear transformation defined by x-y x+ y 2.x Let S be the natural basis for…

A: The given linear transformation is                 L:ℝ2→ℝ3 defined by Lxy=x-yx+y2x Also given that S…

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Q: Find the radius of convergence and interval of convergence of the power series. n=1 n E Vn x" n=1 Σ…

A: Power Series: A series of the form ∑n=0∞anxn, where ai's are constants, is called the power series…

Q: 5. Let L:R -R be the linear transformation defined by x-y x+y 2x Let S be the natural basis for R?…

A: The given linear transformation is Lxy=x-yx+y2x. LetS'=12,01be a basis for ℝ2. And Let…

Q: of a space X and let x e X. Then x e A iff there exists a net in A (that is a net whi to x in X.

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Q: B. Enumerate all discontinuities of f and determine their type. type of discontinuity

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Q: t, = 1 t2 = 2 t3 = 3 t4 = 4 C, = 11 C2 = 29 C3 = 65 C4 = 125 1 1 1 1 11 1 4 8 29 1 9 27 65 1 16 64…

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Q: ду and du az Let z = x? + y, x 2st, y = s- t², s = u", and t = u sin w. Compute for

A: Given z=x2+y3x=2sty=s-t2s=uwt=usinw We will find ∂z∂w and ∂y∂u

Q: How may inscribed angles are there in the figure? A B 5 3 1 2 4

A: We have to answer following Questions.

Q: 3. Write an equation that can be used to model the graph shown below: 20t /2 2n/3 n/3 ST/6 10 20 10…

A: We can solve this using given information

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A: Solve by two method  Using Green's theorem and direct line integral

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A: Solution:-

Q: (i) Sketch an odd periodic function of period 8. ƒ(L) = 4 – L, 0<L<4 (ii) Find the Fourier Sine…

A: Fourier series of the function

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Q: Q.12) The solution of y" + y' = 0 by using power series method , is! %3! a) y(x) = a, – a,(1-+ b)…

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Q: b. -2åx + 3d, - åz 2. If E = -xả, + yåy V/m, find the work involved in moving a unit positive charge…

A: We can solve using given information and calculate the work done

Q: 4. lim f(x) = +∞, x-3 lim f(x) = -o x-3+

A: This is an application of calculus.

Q: Ive the following equations: 1. (D? - 3D + 2)y = 2x3 – 9x? + 6x

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Q: Find The Valle f X 十 キ

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Q: Find the volume of the solid obtained by rotating about the y-axis the regioN bounded by y= 2x- x…

A: The given curves are y=2x2-x3 and x-axis. To find: the volume of the rotated region bounded by the…

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Q: Consider and know that the function g defined by 1 g(x, y) = cos (Tx /y) + log3(x – y)' |- Answer…

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Q: The parabola y =- x² + x +1 opens O upward O downward O to the right to the left

A: First we find the vertex and axis of the parabola and then sketch the graph passing through some…

Q: („*.) (* ) =(). 2n 2n 2n + 2 (c) Verify that + n +1 n + 1

A: According to the guidelines we are supposed to do one problem

Q: = 0.11(1 – I) – 0.03I; I € (-0.1,1.1); I(0) = 0.2; I(0) = 0.9 dt dR R - 0.1R; R E (-0.1, 10); R(0) =…

A: 4) a)dIdt=0.1I(1-I)-0.03I; I∈(-0.1,1.1); I(0)=0.2; I(0)=0.9 ⇒dIdt=-0.1I2+0.07I=-0.1I(I-0.7);…

Q: Given a smooth function f such that f(-0.2) = -0.91736, f (0) = -1 and f(0.2) = -1.04277. Using the…

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Q: The vertices of the ellipse given by 4 +뚜=1 are (2, 1) and (1, 2) (0, 1) and (0, – 1) O Option 1…

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Q: 25 and 26

A: Since sum of all angles is 360    angle(P)+angle(Q)+angle(R)+angle(S)=360     80+x+2x+70 =360…

Q: 7 2x -10 14 08 O 9.5 O 8.75 07 0 9 O 7.25 4.

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Q: find The complete SoLution of The differentia eqution y+24'+4y=asX Subjected to The Condioin…

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Q: Given f (x) = |x| for x € [-,1 Show that cos(2n – 1)x (2n – 1)2 4 |x\ = ; 2 n=1

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Q: Find the transform, indicating the method used and showing the details u(t-2T) sint

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Q: K/29° N

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Q: Including the broken lines, how may secant lines are there in the figure? A E В 1 2 4

A: Solution -: There are two secant line  AB and CD .

Q: inimum and maximum values, and sad

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Q: Given the middle line as a bisector, calculate the perimeter. 2.5 cm 5 cm 6 cm O 5.20 O 5.25 O 5.10…

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Q: Consider the function g defined by 1 g(r, y) = cos (7IV) + log3(r – y)" Do as indicated. 1.…

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Q: et E =X+iy Express the given quantit y interms of X and y. I R (1/2) 14 (ti) (1-2i) (1+ 3 i)

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Q: stice Problems 1.A spring has a natural length of 14 ft. If a force of 500 lbs is required to keep…

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Q: The linear second-order differential equation (1 — х?)у" — 2ху' + п(п + 1)у %3D 0 where n is a fixed…

A: Given that The linear second-order differential equation as: 1-x2y"-2xy'+nn+1y=0              1 (a)…

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Q: 7. (Refer to HW#5: Section 2.3 - Exercise 2 ) Consider the following second-order equation: 6 + 7y =…

A: As per our guidelines we are allowed to do 1 question or maximum 3 subparts at a time. Please post…

Q: dy 7x - x + 10x + 4 .3 Find if y = DO NOT dx x2 + 6x + 1 SIMPLIFY.

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