О 13

Q: r1 : A = (3,2,4) m = i + j + k r2 : A = (2,3,1) B = (4,4,1) (a) Create Vector and Parametric…

A: r1: A=(3,2,4) and m→=i^+j^+k^ r2: A=(2,3,1) and B=(4,4,1) Vector form of a line which passes through…

Q: The diagram in Figure 3 shows the shaded region enclosed by the lines x = -1, x = 2 and the curves y…

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Q: c. 5tan(59°)- ; use special triangles sec(59°) – 3sin²(59°)

A: Given: 5tan59°-2sec59°-3sin259° To find: Using linear approximation solve the equation.

Q: tind the remainng parts e of spherical trinngles the 95 09' 7", c> 79'18'29", C: 90°

A: Consider the given spherical triangle, It is given that a=95°09'17''c=79°18'29''C=90°

Q: 6- Use Newton-Raphson method to solve the system х3 + у — 1%3D0 уз — х +1%3D 0 with the starting…

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Q: A seamstress works exclusively on one stage of the process of a special garment design. This phase…

A: We need to, Draw a transition graph. Determine the transition matrix. of the number of unprocessed…

Q: (i) dy The ordinary differential equation is given by xe +y with initial dx condition y(1)-1. Apply…

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Q: Sketch the graph of a function which satisfies each of the following conditions: g'(-2) DNE g'(x) >…

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Q: s) sohne rec'x pecy dx + sing dy = 2

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Q: The bus is late or my watch is fast.

A: Solution

Q: 4. Find the first five terms of the sequence in which the sixth term is 47 and twelfth term is 77.…

A: Given:Arithmetic progression  T6=a+5d=47  T12=a+11d=77   We have to find T5 = ?

Q: Use Lagrange Multipliers to solve the following: Maximize f(x,y,z) = 4x + 2y + z subject to x2 + y +…

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Q: 1 -2 4 0 1 1 2 -1 2 5 1 1 4 -1 0 8 0 4 0 -2 1 1 1 -1 0 -2 -1 A = 3 -6 1 2 -4 -4 8 -3 1 -1 1 1 -2 4 1…

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Q: • 16. The area which is inside r r = 3-sino 5sin 0 and outside the limacon

A: According to rule of bartleby we can solve only the first question or three sub question of first…

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…

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

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Q: 1. What is the integral that describes the enclosed region between y = 4x- x and the x - axis ? A.…

A: We will use the properties of definite integral and area function to solve the given problem.

Q: Show that rejst =rcjs(-0)

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Q: e Transform of the functions 1. e2t (

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Q: TTEN ONLY PLEASE UPVOTE. DOWNVOTE FOR HANDWRITTEN. DO NOT ANSWER IF YOU ALREADY ANSWERED THIS

A: (2). Given that the series                      2, 5, 8,  . . .

Q: 7. If in an inner product space, (x, u) =(x, v) for all x, show that u = v.

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

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Q: 1. F(s) = 16/[s(s²+4)] 2. F(s) = (8s + 11)/[(s-4)(s²+9)]

A: We have to solve by inverse Laplace transform.

Q: Find a formula for the nth term of the sequence. 1, - 16, 81, - 256, 625, ... Determine the…

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Q: in a graph What is an interval representation ? And give examples an

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Q: dy Solve x dr + 5y = x sin (ax?)

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Q: . In a 10-item Mathematics problem-solving test, how many ways can you select 5 problems to solve?

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Q: Approximate f(3) centered at 0 of f(x) = 2x³ + 3x² + x - 1. %3D

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Q: Trapezoid KLMN has sides KL= 20 unuits , LN= 60 units MN= 22units , KN= 66units, with KL parallel to…

A: Given that  Trapezoid KLMN has sides KL= 20 unuits , LN= 60 units MN= 22units , KN= 66units, with KL…

Q: 3) Use the basic definition of a Cartesian tensor to show the following: (a) That for any general,…

A: Solution : Consider a rotation of the (unprimed) coordinate axes through an angle θ to give the new…

Q: A box contains 5 red balls, 7 green balls, and 6 yellow balls. In how many ways can 6 balls be…

A: .

Q: Prove the following: a a) L{sin(at)} : b) L{t²} = s2+a² 2 s3

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Q: The center of the ellipse with the given equation 4(x - 5) + 3(y - 4)? = 48 is (-5, 4) (4, 5) Option…

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Q: To find a particular solution for y"-36y = 44 sin(21) %3! with the method of variation of…

A: The given problem is to find the conditions required for the differential equation to find the…

Q: The vertex of the parabola given by the equation x2 = 20 y is O (0,0) O (4,5) O (0,5) O (4,0)

A: Vertex of the parabola

Q: 2. 2, 4, 8, ... 10th term 3. 5, -10, 20, ...7th term

A: Note: nth term of geometric  sequence defined as  = a.(r)n-1 where a is first term of G.P and r is…

Q: Let A be a Hermitian matrix with eigenvalues d1 > \2 > · .· > dn and orthonormal eigenvectors…

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Q: Find the transform, indicating the method used and showing the details (sin wt) (cos wt)

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Q: Next question Sketch the region of integration and evaluate the integral. xy dx dy Sketch the region…

A: We have to solve the given problem.

Q: Consider the following optimisation problem min f(x, y) = x + y – x² subject to x + y 0. a) Find a…

A: Given: The optimization problem…

Q: Let C be the curve intersection of the sphere x'+y+=9 and the cylinderx+y° =5 above the xy-plane,…

A: To Evaluate: ∫CF·dr Using Stoke's theorem. where F→=&lt;2yz,5xz,lnz&gt; and C is the curve of the…

Q: dz dz and an Draw a dependency diagram and write a chain rule formula for given the functions below.…

A: We will use the concept of chain rule of differentiation of Multivariable function and formation of…

Q: 1. Sixteen toothpicks are arrañged as shown. Remove four toothpicks so that only four congruent…

A: Given an experiment . Sixteen toothpicks are arranged as shown (given in the question).  We have to…

Q: what is gross  monthly for the hourly position?

A: Solution

Q: Use Method of Undetermined Coefficients: y" - 2y' + 5y = 4e*cos2x +x2 2

A: We have given a differential equation ,  y'' - 2y' + 5y = 4ex cos2x + 52x2 First we will find…

Q: 3 12 Let y = 10 , and W = Span{u1}. 1 V10 a. Let U be the 2×1 matrix whose only column is u,.…

A: Given :  y = 126 , u1= 310-110 and  W=Span{u1} (a).  u = 310-110uT = 310  -110∴uTu = 310  -110…

Q: Given the radi are portions of the mid-section of the shaded figure, calculate the circumference of…

A: 31

Q: 2. if it was P(x)=ao+a,%tazk Prove that PecR) inner multiPlication sPace

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Q: The following conclusion is based on which assumption:               Gregory had studied all night…

A: Solution

Q: oproximation to a root of the equation x2 - x - 1 = 0 in the interval (1, 2) by bisection 1l be:

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