1nd the general and definite solutions of the diIference equations

Q: Represent the following equations in R? by a vector-valued funetions. (a) (a-h) + (y - k) = r (r-h)…

A: We will use vector valued function of standard equation  x2+y2=a2 rt→=a cost i→+ a sint j^    i.e.…

Q: Find the formula for the Riemann sum obtained by dividing the interval [ – 1, 0] into n equal…

A: To find the formula for the Riemann sum by dividing the interval in n equal sub intervals. The given…

Q: wael manasra edited 8:06 PM sinh(3 In(a)) = %3D (A) – 1 6a - 3 1 (B) a³ – 4 - (C) 을 +교 (D) 을-삶 1 2a…

A: We want to find the value of sinh(3 ln(a))

Q: Part 2. Prove that the following are equivalent A. by Constructing a truth table 1. [p V (~ p ^q] →…

A: A) prove that the following are equivalent by constructing truth table 1) p∨~p∧q↔p∧q 2)…

Q: Consider the permutation (1 2 3 4 5 6 \3 4 5 6 1 2 7)* 1. Express as a product of disjoint cycles.…

A: Given Permutation: 12345673456127

Q: . Given x = 22 log3 (9) , what goes in the blank of y

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Q: Describe in detail how you, as an early childhood education practitioner, would design a…

A: Young children show a natural interest in and enjoyment of mathematics. Research evidence indicates…

Q: Determine the vector field of F. F(x, y) = yl – xj 1.

A: Solution

Q: 4. Give an example and a proof to show: Local isometries can shrink but not increase intrinsic…

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Q: The monthly sales S (in hundreds of units) of baseball equipment for an Internet sporting goods site…

A: This is a problem of application of calculus.

Q: Determine whether the function is a linear transformation. T: R2 → R3, T(x, y) = (2x², xy, 3y²) O…

A: We have given that function ,  T : R2 → R3 such that ,  Tx , y = 2x2 , xy , 3y2 We need to determine…

Q: Color blindness is a sex-linked, inherited condition that is much more common among men than women.…

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Q: Exercise 31 Let C be the binary code with generator matrix [1 1 0 0 1 1 0] 10 101 0 1 G =|1 0 0 III0…

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Q: Given the differential equation y'' – 3y' + 3y = 0, y(0) – 1, y'(0) = 1 | Apply the Laplace…

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Q: k = 4 4. Let k be the second smallest nonzero digit of your Student ID. Compute the order of (k, k)…

A: To find the order of (4,4) .

Q: Let G be an abelian group, Ha subgroup of G, and n a fixed positive integer. (a) Let Hn = (aEGla"…

A: (a) Given G is an abelian group and H be a subgroup of G. For any fixed n∈ℕ, a subset of G is…

Q: 2. Given the conditional statement, Construct a statement as to the following: "If the angles in a…

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Q: 3. Armaan claims that the functions f(x) = 32x + 5 and g(x) = 32* + 8 have different instantaneous…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: (b) Show that any nonzero element of the ring Q[V2] = {a + bV2 | a, b e Q} is invertible, that is,…

A: (b) We have to show that any non zero element of the ring  ℚ[2] = a+b2 : a, b∈ℚ is invertible. (c)…

Q: Find an equation of the tangent plane to R(u, v) = (e" sin u , eº cos u , e¯º ) at the poi where u =…

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Q: Find the curvature and the radius of curvature at the point t = 0. e' cos(t), y = e' sin(t), z = 11e…

A: Given :  x = et cos t,  y = et sin t  and  z = 11et To find : We have to find curvature(k)  and…

Q: 1. The table shows the train route indicated by "x" between corresponding cities. Draw a graph that…

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Q: Use the following methods to solve for the root of the equation f(x) = xe¯* – sin²x Direct Search…

A: Direct search method: If f(x)=0 has a root in between a and b, then divide the interval into…

Q: Let Mn.n(R) denote the vector space of n x n matrices with real entries. Let f : M2.2(R) → R be the…

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Q: Determine the coefficient ofx1° in the multinomial theorem expansion of (1+ æ² + æª + æ®)ª. O…

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Q: х, + 3x, — 2х; + 2x5 2x, + 6х, — 5х,- 2х4 + 4xs 3x, = -1 + 15x, = + 8x, + 4x; + 18х, 5x; + 10х, 5…

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Q: (a) Find out solution of the following 3rd order ODE: y" – 4y' – 4t + sint – tet = 0 - -

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Q: Find the values of a,, a,, a,and a, for the following sequences 1-n 1 2) a, n! (-1)** a, 2n-1 1) a,…

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Q: find the cube root of i when k =2

A: If the polar form of complex number is z=rcosθ+isinθ then using De Moivre's Theorem, the  nth roots…

Q: Suppose we have two 1 metre long rods. Each rod has a temperature of 0° on its left end with the…

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Q: a) Use the Taylor theorem for the function U(x, t) = te*t with the step size Ax (t, is held…

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Q: Suppose S = {r,u, d} is a set of linearly independent vectors. If x = 2r + 2u + 2d, determine…

A: Given :  S = {r, u, d} is linearly independent set of vectors  and  x = 2r+2u+2d. To find :  We have…

Q: Find div F and curl F if F(x, y, z) = xz°i+ 4y°x*j+22²yk. div F= curl F=

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Q: 9) Find the limit, if it exists, or show that the limit does not exist: lim (x,y)→(0,0) xª + 3y4

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Q: (a) Define ƒ : R –→ Z as follows: f(r) is the smallest integer y which is at least r. Decide whether…

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Q: How does k^2 (-uv) become (I-k^2)?

A: The cross product of two vectors takes the opposite sign when the order is changed. u×v=−v×u…

Q: Let S be the surface with equation y = + 2?. 9. (a) Write the equation of the traces of S on the…

A: given equation of curve S y=4x29+z2 (a) write the equation of traces of S on the coordinate planes…

Q: Consider the following integer programming problem: xị + 3x2 + 2x3 max s.t. x1 + 2x2 < 5, 4.x1 – 5x2…

A: Given: Integer programming problem                  Max  x1+3x2+2x3s.t.    x1+2x2≤5…

Q: Suppose a definite integral has lower and upper bounds as follows. 7.006 < < 7.018 If the midpoint…

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Q: 1. Solve the system by Gaussian elimination x+y-5z =-18 3x-3y+z 6 x+3y-2z = -13

A: Consider the given system x+y−5z=−183x−3y+z=6x+3y−2z=−13.........1 We have to solve the given system…

Q: 2. The height above the ground, h, in metres of a car on a Ferris Wheel as the Ferris Wheel turns…

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Q: 3. Let F = (422, 5x, 3y). (A) Compute curl(F). (B) Parameterize each rectangular region and compute…

A: We will find curl using determinant . Then use projection on co ordinate plane to get range of…

Q: point P (x, y) moves such that it is always twice as far from (-5, -6) as it is from (2, -3). What…

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Q: Let f(t) be the balance in a savings account at the end of t years and suppose y = f(t) satisfies…

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Q: For A, the alternating subgroup of S, show that it is a normal subgroup, write out the cosests, then…

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Q: Which of the following transformations are linear? Select all of the linear transformations. There…

A: To find: which are the linear transformations.

Q: ous annuity is a steady stream of money that is paid out, for example, b making Set up the…

A: We have to set up a differential equation from given money.

Q: y' = 3x²y

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Q: )A payment of 10,000 is invested for 10 years. The payment earns annual interests paid at the end of…

A: Given facts A payment of 10000 invested for 10 years. At the end of each year an interest at the…

Q: SUBJECT/COURSE: ADVANCED ENGINEERING MATHEMATICS 1. TRUE or FALSE. All real numbers are complex…

A: Here we use basic theory of complex number.