Let / = [c, d] [a, b], show that g =xj is Reimann integrable on [a, b] and b. S g(x)dx = d-c a

Q: A rectangle is fenced off for a robot competition. The dimensions of the competition area are 35…

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Q: Let T : F" → F" be the linear transformation sending the vector (x1,..., xn) to (xn, X1, x2, . .. ,…

A: Given T:Fn→Fn be the linear transformation such that Tx1,x2,.....,xn=xn,x1,x2,.....,xn-1…

Q: Jasica Parker would like to have $75,000 to buy a new car in 6 years. To accumulate $75,000 in 6…

A: Solution :-

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Q: Find the point on the sphere x²+y²+z²=961 that is farthest from the point (19,1,–9).

A: We have to find the farthest point from the given point.

Q: 3. By working out the components, show that the Laplacian of the function ƒ (x, y, z) can be written…

A: For the solution follow the next step.

Q: As indicated in the notes, what functional form is the following model?   Q = β1+ β2sin(T)…

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Q: (a) Find a transformation which removes the zy term in z+zy+y = 16 and (b) give a geometrie…

A: To remove the product, there needs a rotation of axes about the origin.

Q: Find the general solution of the given system. 28 -49 X' = 4 X(t) = %3D

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Q: Let f : [0, 1] → R be a continuous function. Show that the sequence of functions 1 fn (x) = ,x +1 +…

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Q: 6) If G(x) = In(t) dt then G'(x) = 2x*e=*. a) True b) False

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Q: 2. Which of the following is a basis for the space of polynomials of degree < 2 over R? (Check all…

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Q: For what integers m and n does both lim f(x) and lim f(x) exiat : x →1 mx? + n, x 1 %3D

A: for what integers m and n does both f(x) and f(x) exist:

Q: By using the Gusse-seidel solve the following system X+y+4z=15 2x-у-z-6 4x-Зу+5z-34

A: Apply the following steps, to solve the given system of equations by Gauss-Seidel method. Rearrange…

Q: A and B be two sets, and A - B = . a) What can you say about sets A and B? b) Draw a Venn diagram.

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Q: x³y" + 3x?y" = 2x +1

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Q: (a) Prove that 0 n(n-1)(n-2) for eachn e N. [Hint: You may wish to use the function f(n) = n(n –…

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Q: Find all possible homomorphisms for Z4 Zg and determine the kernel of each of these homomorphisms.

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Q: 2.r if 0 if rl<x

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Q: he area of an ellipse with axes of length 2a and 2b is nab. The percent change in the area when a…

A: We have to find percent change in the area after increasing major axis and minor axis.

Q: by thể differen ntial equation on associated with this sy

A: In this question, the concept of Laplace Transform is applied. Laplace Transform The Laplace…

Q: Consider the polynomial f(t) given by [2 1 3 4 1 3 2 5 2 f(t) = det 6 t t 2 3 4 2 3 3 1 7 3 4 t 3…

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Q: Lemma 1 Consider a node x with rank (number of children) d. Let y1, y2, ... Yd be those children in…

A: Given  y1, y2, ...... yd are children inthe order they were added to the tree.  We have to show that…

Q: Question 11 (see above) The relation "R(x, y) : xy > 0", where r and y are from Z+, is A. O…

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Q: Find the area of the region included between the parabolas y? = 4(p + 1)(x +p + 1), and y² = 4(p² +…

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Q: Define g(x) to have a domain of {1, 2, 3} and a codomain of N. Which of the following properties…

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Q: Consider the polynomial f(t) given by [2 t 2 5 2] 1 3 4 1 3 f(t) = det 6 t t 2 3 %3D 4 2 3 3 1 7 3 4…

A: We can solve this using determinant of matrix

Q: 9–13 Sketch the graph of the functio 9. f(x, у) — 3 11. f(х, у) — 6 — Зх — 2у -

A: Introduction: Defining a Function's Graph A function's graph is the set of all points in the plane…

Q: y purchases phones for $280.50 each and is selling them for $330.00 each.  a. What is the rate of…

A: Given that Ivy purchases phones for $280.50 each and are selling them for $330.00 each.

Q: Compute the distance d from y to the plane in R' spanned by u1 and uz.

A: We have to find the distance d from y to the plane in R^3.

Q: b. What is the p

A: Note: Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: Some entries of a 3x3 matrix A and its are given as follows; 2 3 -4 A = and adj(A) = a 3.

A: Introduction: The numbers or functions are referred to as the matrix's elements or entries. A matrix…

Q: 5. A division ring is a ring with identity in which every nonzero element has a multi- plicative…

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Q: .Find the Laplace transform of 0 2 %3D

A: laplace transform

Q: Solve the given system of linear equations using the Gauss- Jordan Elimination. 3.)  3x1 + 8x2 - x3…

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Q: Assume the following symbols for each of the questions below. The domain is people. Symbol Meaning…

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Q: The gradient of the line passing through the two points (7,4) and (-2, 5) is

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Q: 5. Evaluate z dV where E is the region bounded below by r2 +y² + z² = 4 and above %3D by r² + y² +…

A: We have to evaluate the integral ∭EzdV, where Eis the region bounded below by x2+y2+z2=4 and above…

Q: Prove that a subset of a set of measure zero has measure zero.

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Q: (a) Construct a Marshallian demand function for the consumer. (b) If p. - 2. P,- 4 and I- 68,…

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Q: Given the surface 2 x²y + yz + z?x = 38. Find the normal line and the tangent plane to the given…

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Q: Find aw in terms u and v if du w= In(x2+y2 +z²), x = ue" sin u, y = ue' cos u, z = ue"; (u, v) =…

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Q: If C, C2 Cn are Constovts 1-1 . a,, uzXz) ---- Un (X)ave livffen antiable 4111 funetions at x with…

A: Introduction: The differentiation of a function y=fx is defined as f'x=limh→∞fx+h-fxh This is…

Q: Find area of the region under the curve y = 5x - 4 and above the x-axis, for 3 < x < 5.

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Q: Find the centroid of the region lying underneath the graph of the function f(x) 19x' over the…

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Q: A. F (x, y) = (10x + 2y)i+ (2x + 16y) j f (x, y) = B. F (x, y) = 5yi + 6xj f (x, y) =N C. F (x, y) =…

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Q: Find the root of 1+ tanh x - 2 tan x = 0.

A: We find the root of  1+tanh(x)-2tan(x)=0 , by Newton's method.

Q: Part B The second part of the new coaster is a parabola. Ray needs help creating the…

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Q: Q4 Calculate the volume of the solid obtained by rotating the region bounded by the parabola 4py =…

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Q: (3= Sincy) * Reverse or dar of integ ration and evalvate

A: We have evaluate the intregation after reverse the order of integration.