Show that the set (1) isopen u k = 1 and find its measure.

Q: a) If the edge of a cube is increased by 30 percent, by how much is the surface area increased? b)…

A: This is the question of application of differentiation.

Q: 1 33 1 1-3 Use the fact that 2 3 3 Write the matrix equation that corresponds to the system. (Type…

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Q: No. Date Evaluate fff dv G x² + y² where G is a solid that lies inside cylinder *+(4-2)² =4 obove…

A: we will use cylindrical co ordinate system to solve the given integral

Q: 3 Evaluate 1.2 (ny) dv 251SNOP kabriod G₁ if G is the "solid bounded by is the soud bounded by…

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Q: Which of the following is a tautology? a. (pvq) →q b. (p^q) →q c. (pv~q) →q d. (p^~q) →q

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Q: dx/dt = square root5 - ex,

A: As per the company rule, we are supposed to solve one problem from a set of multiple problems.…

Q: [-3 Find all values of λ for which | Al3 - A| = 0, where A = 0 1-2 -1 -31 3 0 -1 -2]

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Q: Substitution of the largest a bsolute value → Gauus with partial pivating? ture or false? true False

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Q: 1.A rectangle cuboid 9 cm long and 7 cm widegiven that the volume of the cuboid is 315 cm3. Find (a)…

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Q: The adjacency matrix of the graph is __________

A: In adjacency matrix, the elements are the number of edges between the vertices.

Q: 2 For an angle in standard position, tan VI and <<T. 4. a) Determine the approximate value of 0, to…

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Q: A 60-gal tank initially contains 10 gal of fresh water. At t = 0, a brine solution containing 1 Ib…

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Q: 8. What rule should be used in deriving f(x) = x³? A. Constant rule B. Sum rule 9. Find dy/dx y=e³x…

A: To find:  8. Name of the rule used in derivative of x5. 9. Derivative of e3x . 10. Derivative of…

Q: A symmetric matrix A is positive def

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Q: der the solid Q bounded by the surfaces - 1 = (y - 2)², S₂ : x + y = 2, S3 : x = 0, S4 : y = 0, S5 :…

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Q: Southern Sporting Goods Company makes basketballs and footballs. Each product is produced from two…

A: Given resource requirement per unit  We have find following requirement a. Solve the model…

Q: Q2: The line width of for semiconductor manufacturing is assumed to be normally distributed with a…

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Q: 2. Write and verify (i.e compute both sides of the equality) Green's Theorem for the field [P(x, y),…

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Q: 2x+3y-z = 5 The solution for the linear system using Jorden method is 4x + 4y - 3z = 3 1-2x + 3y - 2…

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Q: Figure 1 shows a continuous piecewise function's graph. f(t) 2.0 1.5 1.0 0.5 2 3 4 Figure 1 a) Based…

A: To find the value of A, B, C, D .

Q: 5) Examine the characters of the following Series using the Comparison tests. DO a) = 2n²+3n+1 n=1 2…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the angle between the vectors. (Round your answer to two decimal places.) u = (-3, -5), v = (0,…

A: Please see the attachment

Q: find polar form of the complex number Z= = (2√3-4i) + (-√3+5i).

A: The complex number: z=x+iy can be represented in its polar form as z=rcosθ+isinθ. Here, r=x2+y2,…

Q: Determine if the sequence converges or diverges. If it converges, state the limit. arctan n -,n≥2 In…

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Q: Solve the given differential equation by using an appropriate substitution. The DE is homogeneous.…

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Q: 11 By reversing evaluate the -3 -9 ffix the orders of integration following integral x cos(y) dy dx

A: Given integral ∫03∫x29 xcosy2dydx The region bounded by  y=x2 , y=9 , x=3 and x=0

Q: taxi has 2 passengers when it starts at A. It must drop off one person at B and the third at C. The…

A: GIVEN THAT A taxi has 2 passengers when it starts at A. It must drop off one person at B and the…

Q: A stone is dropped off a 784-8 cliff. The height of the stone above the ground is given by the…

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Q: a b - Let B be a real matrix similar to a matrix A of the form -b a B = Q'AQ. How would you sketch…

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Q: 2. Let f(x) = 3x + 6 € Z7[x]. Find all associates of f(x).

A: The given function is fx=3x+6∈ℤ7x To find: the associates of f(x).

Q: 1- L- L-1 [55+4 2S-18 5²49 24-30 √5 + st 2- L (t² cos at)

A: By Bartleby policy I have to solve only first one as these are all unrelated &amp; lengthy…

Q: In some country, 90% of the daughters of working women also work and 20% of the daughters of…

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Q: 1. Solve the following equation dy dx x = x² + 3y, x>0

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Q: Find the Fourier series of f(x) uestion 1 1) If f(x)= x,-2<x<2

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Q: 3 3 1 1-3 Use the fact that 3 Write the matrix equation that corresponds to the system. (Type an…

A: A system of equations can be represented in the matrix form: AX=B, where A is the coefficient…

Q: Q4/ A: Find Fourier Series of the Function: f(x) = {-K -TAX<O 0 <x<*

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Q: The gcd (₁5,₁8) is: U15, U18 a) 2 b) 3 c) 5 d) 1

A: We need to find gcd(u15, u18): since U(15)={1,2,4,7,8,11,13,14} so order of U(15)=8 that is u15=8…

Q: Test: Test 1: Chapters 1, 2, and 3 Use the Venn diagram to represent set A in roster form A= (Use a…

A: From Venn diagram we can see that, both set A and B are intersects, so both sets have some common…

Q: 6. State the transformations, in words, that were applied to y = log₁0x to get y = -2log10 (x + 4) -…

A: The vertical shift in the graph of y=f(x) is represented by the transformation function: y=f(x)±n.…

Q: In this problem, x = c₂ cos t + c₂ sin t is a two-parameter family of solutions of the second-order…

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Q: sec²0 Evaluate tan²0-1 de

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Q: Consider the solid Q bounded by the surfaces S₁: Z-1 = (y-2)², S₂ : x + y = 2, S3 : x = 0, S4 : y =…

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Q: Answer the following questions about the given sets. Are the sets equivalent? Explain. a. b. Are the…

A: Equal Sets :  Two sets A and B can be equal only if each element of set A is also the element of the…

Q: Consider the solid Q bounded by the surfaces S₁: z-1= (y-2)², S₂ : x + y = 2, S3 : x = 0, S4 : y =…

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Q: Use the Jacobi method and Gauss-Seidel method to solve the following system until the L'-norm of Ax…

A: The following steps are used to solve the given system of equations by the Jacobi method and…

Q: Given ?(?) = x3 + 5?2 + 2? − 8 a) Solve for ?(?) > 0 and ?(?) 0 conclusion and one for < 0…

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Q: (a) Let f: (1, +∞) → R be a differentiable function. 1 (i) Assume that |ƒ'(x)| ≤ for all x > 1. Show…

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Q: Solve the system of linear equation: ix1 - ix2 = -2 2x1 + x₂ = i

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Q: A customer has made a request for a wooden box with an open top that needs to have a volume of…

A: Here we have two constraints. The first is surface area and the second is volume.

Q: Parent Function y = log10x (x, y) VA x = Transformed Function y = -2log10 (x+4)-3 VA x =

A: Let us consider the parent function y=f(x) The function is transformed to y=af(b(x-h))+k…