A linear transformation T : R³ → R² whose matrix is -2 -6 -6 -2 -6 -10+ k is onto if and only if k +

Q: Compute for a real root of 2 cos x – sin vx = i accurate to 4 significant figures using Fixed-Point…

A: Given equation 2cosx3-sinx=14.We have to find the fixed point lteration Method with an initial value…

Q: Q) find Fourier series on [0,27] (1) ƒ(x)=T– x

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Q: what is the solution

A: The series diverges.

Q: Evaluate the sum. 30 j=1

A: We have to find the sum of the series

Q: Mike and Molly are newlyweds. They have begun to encounter some problems with living together as a…

A: Here we need to put x for Mike's portion. Since we have equal points for the budget we can assign…

Q: A student borrows ​$1000 at 15​% for 6 months to pay tuition. Find the total amount due using simple…

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Q: If lim S(P, f, a) exists as µ(P) → 0, then fe R(a), and lim S(P, f, a) =|f da. H(p)0

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Q: 1. A graph of a function f (x) is given as follows. Sketch the graph of f(x) . State all the x and y…

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Q: Z= (2+3i)^4n+2

A: Given,            Z=(2+3i)4n+2+(3-2i)4n+2 To prove that         Z=0

Q: Describe the graph of the equation: r = 4ti – 8j + (1 + 2t)k. [Choose the correct answer.] The…

A: It is three dimensional, so each points must have three components (x,y,z).

Q: You need to find the directional derivative of the functian f(x,y) = tan" (x4) at the point (2,2) in…

A: Directional derivative of the function at point in the direction of the unit vector

Q: 1 Find two equations (using cosine and sine) for the following: A mass on the end of a spring is at…

A: (a) Given that, The mass is hanging 80 cm from the ground, and it pulled down 60 cm and released at…

Q: 17 Let A = -30 -8 Find a matrix S, a diagonal matrix D and S- such that A = SDs-1 -1/2 -1/3 S = D =…

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Q: Maggie was constructing a set of perpendicular lines with a compass and straightedge. However the…

A: While constructing a set of perpendicular line . The Maggie mistake is she did't draw sphere at both…

Q: Is the matrix A invertible -1 2 3 -6 O True O False

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Q: Find the exact arc length of the curve over the stated interval. 1 -4, from y = 1 to y = 2 12 NOTE:…

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Q: Construct the difference table and find the polynomial that fits the set of points (0, 5), (1, 6),…

A: Introduction: Divided differences is a mathematical algorithm that has historically been used to…

Q: find the line ariz ation of the followwing function. fcx, y>=J 9z*+I6y² point (1,1). Use what this…

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Q: Q) find Fourier series on [-7,1] – 1 |4 -π<x<0 (7) ƒ(x)= T 4 0<x< T

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Q: 5) Divide and simplify. 8 3 15 3 A) - 25 B) - 13 C) 15 8 D)

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Q: xy dx + 2(x2 + 2y2) dy = 0; x = 0, y = 1. %3D

A: It is given that xydx+2x2+2y2dy=0. We can write the differential equation as shown below:…

Q: у" + 6у' — 7у%3 0 7y = 0

A: General solution for the second order homogeneous differential equation..     according to Bartleby…

Q: car travelling along a straight road is clocked at a number of points. Use the following times and…

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Q: -1 10 1. f(x) dr = 2. f(x) dx = 3. f(x) dx = 4. f(x) dx =

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Q: e =5= is Cupve?

A: Algebraic curves are the curves considered in algebraic geometry. A plane algebraic curve is the set…

Q: Problem 4 Expand f (2) = in powers of (z – 11) . Also clearly mention the domain in which this…

A: Given f(z)=1/(z-10) in powers of (z-11)

Q: Problem II Consider the functions f : R? R? cos(x) Question 1 The function f is one-to-one. O True O…

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Q: Use Green's Thoerem to evaluate F dr. where F(r, y) = (-3Vx² + 2, 7 tan '(x)) and C is the triangle…

A: We have to evaluate by Green's theorem.

Q: ow that (a bn > In (1+ ) (1 + ±) P2 c) Show that: limn->00 (1+ (1+±)· (1 + ) P2

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Q: Suppose the tenuper a ture at a point (x,y,2) is represen ted by the following: T(2,y,2) = 10e2x* -…

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Q: or ds prove} O The arbiFrany union of dlosed set is losed. O The Imagge of Open setis open The im…

A: We have to prove or disprove the given statement.

Q: 2. Find the sum of all rectangles shown in figure below in terms of x and y. x/2 3/4 y/4 y/2

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Q: 2. Winter Olympics run every 4 years; the last one was held in 2018. Write a formula, an = f (n),…

A: Olympics runs every 4 years . Last one was held in 2018 .   To write the formula an= f(n) , that…

Q: Suppose that we have a graph with at least two vertices. Show that it is not possible that all…

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Q: Y <= 93. Which one of the following is true: a. Optimal objective function value is 0. b. Optimal…

A: Introduction: The simplex method is a method for testing vertices as potential solutions in a…

Q: Angle JKL is a straight angle. The measure of angle JKM is 145°. The measure of angle MKL is x°.…

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Q: Let f be a function that takes elements of R?rR? into R' as follows: f(u, v) = |u1v1|+ |u2v2|, where…

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Q: 4. Evaluate where C is a circle of radius 2, parallel to the r - z plane and around the y-axis with…

A: Using the parametric equation of the curve C.

Q: Suppose that vi, V2, . ., Vn are linearly independent column vectors in F' and let e1, €2,..., en be…

A: Given that v1,v2,…,vn are linearly independent column vectors in Fn,1. Let e1,e2,…,en be the…

Q: Factor 11 + 3i in Z[i] into indecomposable Gaussian integers. Hint: use the norm to guess factors.

A: Using the norm to guess the factors.

Q: (ii) Find the area of the region bounded by r - 200 cos (20).

A: To find- Find the area the region bounded by r2 = 200 cos2θ.

Q: 2) Let X= {a, b, c, d} J= {X,Ø, {a}, {b}, {a, b}}. Compute the closure, interior and boundary of A…

A: Here given set X=a, b, c, d and the topology on set X is given as I=X, ϕ, a, b, a, b

Q: Problem 3: Imagine you have the function f(x) =x° ( (1-: where p and q are %3D integers. Where…

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Q: For the next few problems, suppose we are operating under Saccheri's Hypothesis of the Acute Angle…

A: Given: A Saccheri Quadrilateral ABCD, as shown below:   To prove: If ABCD is a Saccheri…

Q: If the position of an ob ject moving along a straight line at any time is expressed by s(t) = 1³ –…

A: Given: s(t)=t3-9t2+24t

Q: (5a) Let A = {n E Z | n = 2 (mod 3)} and B = {n E Z | n = 1 (mod 2)}. Prove that if n E (A n B),…

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Q: Suppose that we have a graph with at least two vertices. Show that it is not possible that all…

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Q: Given the region R inside the circle x^2+y^2=4 and above y= sqrt(3) A) Establish that d A exists B)…

A: Double integral over the region.

Q: E Cousider a linear transformation T: R - R defimed by (a) Find the matrix A for T. (b) Find a basis…

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Q: Sketch the curve x = 3sin?t, y = 4cos²t (0<t s-) by eliminating the parameter, %3D and indicate the…

A: Here we use basic transformation .