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Q: Evaluate |F. di where F = ( – 4z, F(t) = (t, sin(t), cos(t)), 0 < t < T %3D

A: Introduction: the curve C ⊂U is defined as follows for a scalar field with functionf: U Rn→ R, a lin...

Q: The 2nd approximation to the real root of the equation ex - 4x = 0 with initial guess xo = 0.3 using...

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Q: If an object moves along the line segment 'c' given by x = t, y = t2, t3 from P(0, 0, 0) to Q(2, 4, ...

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Q: Integrate f(r, y, z) = for 0 <t< V3. + y² over the curve r(t) = [cos(t) +t sin(t), sin(t) – t cos(t)...

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A: When the ratio of corresponding sides of two triangles is equal, the two triangles are identified as...

Q: Find the surface area of the figure below. 5 cm 13 cm 5 cm 8 cm 6 cm

A: Here, we have a figure of a triangular prism as it has two triangular bases. We will find the surfac...

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Q: Assume f: R2 -> R is continious. Argue that the eqations y'(x) = f(x,y(x)) and y= y(x0) + ∫xx_0 f( s...

A: Introduction: When an equation contains an integral sign, it is an integral equation. A differential...

Q: 2. Let 1000 1 P1 = 0000 P2 = 0000 0 0 01,

A: Introduction: If ρ and σ are both qubit states, then fidelity is given by, F(ρ,σ)=tr(ρσ)+2det(ρ)+det...

Q: )y -=0 :when x = 1,y = 1 6.

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Q: If A is 3x4 matrix and its rok is 2 then the nullity of matrix A will be be determined a) con つのt 61...

A: Let us consider the matrix A of order n x m  Then the Rank-Nullity theorem is  RankA+NullityA=m Rank...

Q: Try This Out! Simplex Maximization Problem Z = Subject to: -X1 + X2 0 X22 0 Maximize: 4x1 + 6х2

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Q: Problem 4. If A = [aij] is an nxn matrix, then the trace of A, Tr(A), is defined as the sum of all t...

A: The solution is given as  

Q: 3 -1 0 If 2 is one of the eigen vector of a matrix A =-1 2 -1 and 0 -1 3 A3x3 has three distinct eig...

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Q: 2y" – y" – 6y' + 5y = 0 |

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Q: Find the total differential, given: (b) \theta = arctan (y/x)

A: Let us consider the function z=f(x,y)  The partials derivative are obtained as ∂z∂x=fx(x,y)∂z∂y=fy(x...

Q: nterest on his $36,000 college loan and 12% interest on his $13,000 car loan. What average interest ...

A: Introduction: A number, amount, rate, or other measure expressed as if it were part of a total of on...

Q: EXAMPLE 3 If f(x, y) = 3x2 + y does lim (x, y) - (0, 0) f(x, y) exist? SOLUTION Let's try to save so...

A: Introduction:   Assume f is a function of two variables, x and y, and that (a,b) is on the domain bo...

Q: 3. Find the derivatives of y with respect to x: a) y = xe* - e* %3D b)' y = e(*x+=) %3D X. c) y = e*...

A: Multipart :   We need to find derivative of y with respect to x. (a) We have ,  y = xex - ex dydx = ...

Q: 2) 7 feet 10 feet 8 feet

A: Volume of the triangular peramid

Q: d²y dx dy – 3x- dx ential equation x².

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Q: Use polar coordinates to find the limit. [If (r, 0) are polar coordinates of the point (x, y) withr2...

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Q: 3. Write 3 Cis 300° in a + bi form.

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Q: Directions: State the Y = %x + 2 Y= - 3x Slope:_ Y-intercept:0 -3 2 Slope: -2- 3- Y-intercept: -2- -...

A: Given: Equation of lines Y=13x+2 and Y=-3x+2. To find: Slope and y-intercepts of given lines and sta...

Q: Use Kruskal's algorithm to find the minimum spanning tree of graph G. 11 5 a 9 3 3 1 5 C 6 18 G 11 {...

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Q: Answer the following questions. Show your solution. 1) The first term of an arithmetic sequence is ...

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Q: Find the shortest path in graph H from a to f using a tree diagram. The tree diagram below is missin...

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Q: Solve the following initial value problem over the interval from t 0 to t 2 where y(0) = 1. Display ...

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Q: y(4) + 10y" + 25y = 0

A: Solution

Q: siny dx + (x - sin? y)dy=0

A: Here, we will differentiate  siny dx+x-sin2ydy=0....(1)

Q: а. Determine the discontinuities of the following functions and state why the function fails to be c...

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Q: Which of the following subsets of R³ are linearly independent? {0} {{} } {O O } S1 S2 S3 6. 2 S4 = 1...

A: To determine which of the following subsets of R3 are linearly independent. S1=112S2=112, 212S3=112,...

Q: The price (in the usual units) for bread, butter, milk, coffee, and eggs may be given by the vector ...

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Q: Solve the following questions. Show Complete solution. 1) Find the sum of the first 50 even positiv...

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Q: 4. A spiral staircase in a building is in the shape of a helix of radius 5 meters. Between two floor...

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Q: If an object moves along the line segment 'c' given by x = t, y = t?, t3 from P(0, 0, 0) to Q(2, 4, ...

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Q: Compute the partial sum

A: Introduction: A Partial Sum is the sum of a segment of a sequence. An Infinite Series is the sum of ...

Q: Prove that there exists exactly one prime of the form n° -1. (When we say that a number p has "the f...

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Q: Find a continuous solution satisfying the given differential equation and the indicated initial cond...

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Q: Determine the wronskian and evaluate for which values a, b, c ∈ R the following equations is indepen...

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Q: The function h is given by h (x) =| | In(t sin t + 5)dt 1 for 1 < x < 7. On what intervals, if any, ...

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Q: 3. Consider the balanced-growth path (BGP) of the Solow growth model, with production function Y = K...

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Q: For a binomial distribution with n = 10 and p = 0.7, what is P(X = 6)?

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Q: f the square unit = 10 square meters and 1 liter of paint that cost Php 200.00 can cover 13.33 squar...

A: we have given that 1 liter of paint that cost Php 200.00 can cover 13.33 square meter  and square un...

Q: 2. Determine the re al roots of the equation f(x) = 5x - 5x²+ 6x – 2 using iterations of the bise ct...

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Q: 5. Find the product and quotient of Z, and Z2. Z1 = 5[ Cos 90° + iSin 90° ] 1 Z2 [Cos 30° + iSin 30°...

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Q: A scale drawing is to be made of the floor of a rectangular room whose dimensions are 72 feet by 40 ...

A: The perimeter of a rectangle is calculated using the formula: P=2l+w, where, l, w are the length, wi...

Q: a) Enter a definite integral that gives the volume of the solid when the region above is revolved ab...

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Q: f(x) = V25 %3D 3.

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Q: Consider an iterative algorithm generating a sequence {x'}t>1 in R" that converges to x* E R". We se...

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