Format: [*10^] . Indicate the sign only when it is negative. • Consider only 5 decimals for the result of multiplication and division, then normalize. · No use of comma and spaces D 0.00007012*10^-2

Q: A polluted pool has an initial concentration of bacteria of 10* part/m3, while the acceptable level ...

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Q: By setting up and solving an appropriate system of linear equations, determine whether there is a pa...

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Q: (b) Evaluate the following equation by using Simpson's 3/8 rule with 12 equal parts of interval subd...

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Q: A miniature quadcopter flies in a curve line from one point to another. Suppose that the path of the...

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Q: 17. Using Runge-Kutta method of fourth order, solve dy y2-x2 dx y2 + x2 | with y(0) = 1, at x = 02 a...

A: Numerical methods: Ruge-kutta method

Q: L As only 3 students came to attend the class today, find the probability for exactly 4 students to ...

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Q: Let A : R® → R5 and B : R5 → R´be two linear transformations. Then O A is onto and B is one-to-one. ...

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Q: Let I = {1, 2, 3,...} and A1 = {8,9}, A2 = {10, 11}, A3 = {12, 13} and so forth. %3D a. Find U ner A...

A: Note: Since you have not provided B1, B2, and Bn, therefore we will solve only first two parts (a) a...

Q: solve question (d) with explanation asap

A: For a function of the form: y=f(x), the independent variable is x and the dependent variable is y. T...

Q: A one-meter long bar is heated unevenly, with temperature in °C at a distance a meters from one end ...

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Q: A miniature quadcopter flies in a curve line from one point to another. Suppose that the path of the...

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Q: A bank offers a CD that pays a simple interest rate of 8.0%. How much must you put in this CD now in...

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Q: 5. Use a sequence of elementary row operations to calculate the inverse of the following matrix: [o ...

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Q: Find the accumulated amount at the end of 4 years if $5000 is invested at the rate of 10% per year c...

A: Given information Amount=$5000 Interest rate r=10% ⇒r=10100=0.1 Time=4 years We have to find the fut...

Q: The following data given are collected from the experimental measurement on the electrical circuit w...

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Q: Q2/(a): Evaluate the double integral 3xy2 dA over the reetangle R = ((x, y): 3 sxS 2, 0sys1, dA = dy...

A: To evaluate the double integral. 

Q: A linear transformation L : R' → R³ defined by L (X) = AX is one to one. What is the nullity of L (o...

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Q: 1. Is the following set of vectors in R³ linearly dependent: {(1,0,3), (2, 1, –2), (0, – 1,8), (7,2,...

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Q: Determine whether the differential equation (2x2 – 2xy + 3) dx + (7y² – x² + 2) dy = 0 is exact. If ...

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Q: A miniature quadcopter flies in a curve line from one point to another. Suppose that the path of the...

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Q: ~[(a→~b)+c] v [(~a→b)<→~c]

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Q: Use truth sets to prove or disprove the following quantified statements. Note: You can view the solu...

A: True or false predicate

Q: 5. The population of a certain city grows 11% every year. The population was 400,000 six years ago. ...

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Q: (c) A point P is moving along the curve whose equation is f(x) = lae2x+3 . By using second derivativ...

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Q: Is the following set of vectors in R 3 linearly dependent: {(1, 0, 3),(2, 1, -2),(0, -1, 8),(7, 2, 3...

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Q: (a) Suppose that T : R° → R° has a 5-dimensional eigenspace for the eigenvalue 1. Then show that eit...

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Q: Use the variation of parameters formula to find a general solution of the system x'(t) = Ax(t) + f(t...

A: The complete solutions are given below

Q: 3. Find the set of vectors in R³ which are orthogonal to both (4, 2,0) and (3, 6, 9).

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Q: The following data given are collected from the experimental measurement on the electrical circuit w...

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Q: 1) Answer the follow under the given conditions. Calculator is only allowed to help simplify fractio...

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Q: Understanding Binary Numbers 1 2 4 7 8 9. - Binary numbers are based on a system of only 2 digits: O...

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Q: Use the table, along with dimensional analysis, to convert the given unit to the unit indicated. 2 p...

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Q: 35 1. Determine if the ratios 20 and- 91 form a proportion. 52

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Q: Determine the general expression for the four roots of v3 – i

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Q: 1*) Let X = {1,2, 3}, Y = {2,3, 4}, and Z = {1,2}. (a) Define a function f: Z → X that is one-to-one...

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Q: 1. Is the following set of vectors in R³ linearly dependent: {(1,0, 3), (2, 1, –2), (0, – 1, 8), (7,...

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Q: Let A and B denote n x n matrices. Suppose that AB is invertible. Show that A and B are both inverti...

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Q: Let v be a fioite dimensional reetor Space over K. Let w be à subspace. Then prove there exists asub...

A: Given: V is a finite dimensional vector space over K and W is a subspace of V. To prove: There exist...

Q: Problem 6. Find (with proof) the least positive integer m with the following properties: • The last ...

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Q: An elastic string which is fixed at both ends is governed by the wave equation a²u a?u 0 0, at2 əx² ...

A: As per the question we have to solve the given initial-boundary value problem numerically using fini...

Q: ow that if T : Rº → R° has 6 distinct eigenvalues and S has the same eigenvectors as T, then ST = TS

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Q: The letters A,A,A,B,B,C,C,D,E,F,G,H are printed on identical cards (one letter on each card). The ca...

A: The number of arrangments of some objects from a given number of objects is related to permutation. ...

Q: We have defined the relations =6 and =10 to be certain subsets of Z². Their intersection R=(=6)N(=10...

A: (a). Given relations are ≡6 and ≡10 defined on certain subset of ℤ2. We know that the modulo relatio...

Q: Solve the following differential equation using the Runge Kutta method of order 4, with the interval...

A: The fourth order Runge-Kutta method uses the formulas below to perform the iterations and to approxi...

Q: Find the area of the surface defined by z = xy Over the region x² + y? < 5?. (Use symbolic notation ...

A: We have to find the  area of the surface z=xy over the region x2+y2&lt;=52

Q: Determine the general equation of a parabola opening downwards whose vertex is at (3,-4) with a latu...

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Q: The cylinder x? + y = x divides the sphere S of radius 1 into two regions S, and S2, where S, is ins...

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Q: he IVP d's (p² – 121) dp1 d's ds + s 1 = sin(p) dp3 p2 +1 dp s(7) = -994 ds = 19 dp l7 d's = 4 dp2 1...

A: Given the IVF (p2-121)d4sdp4+p4d3sdp3+1p2+1dsdp+s = sin(p)s(7)=-994[dsdp]7=19[d2sdp2]7=4[d3sdp3]7=10...

Q: Let V be the vector space of continuous functions and the scalar product in V is defined as (f,9)=[f...

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Q: 4. "Hand-in question": In an indentation experiment, a slab of metal of thickness h is subjected to ...

A: The complete solutions are given below