0. 1 A = | 1 -2

Q: Find all values of x so that the triangle with vertices A=(x,3,-5), B=(-6,1,-7) and C=(-5,2,-2) has…

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Q: 2: Find: 1 [53 - 3] L-1[:

A: We are required to find the inverse Laplace transformation of the function 1s3-a3 i.e. ℒ-11s3-a3 .…

Q: If T: R2 R³ is a linear transformation for which -8 ¹(B)- ¹-H and T(H) = then:

A: T:ℝ2⇒ℝ3 is a LT  s.t T10=1-44, T01=24-3

Q: Problem. Calculate the Laplace transform L{y"}(s) with data y(0) = 2, y'(0) = -1, y"(0) = 1.

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Q: applied discret mathes  if |A| = 3, |B| = 2, Then what is the cardinality of the power set of A x B

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Q: Find all values of k so that k+4 2 9 k+1 is invertible. 12 To enter your answer, first select…

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Q: 2: Find: 1 L[3 - 3]

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Q: 4.. Compute the improper integral Briefly explain what makes the integral improper. Split the…

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Q: 1. List the elements of each of the following sets by using the roster method. (a) The set of all…

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Q: Determine which sets in Exercises 15-20 are bases for R² or R³. Justify each answer. 5 10 ¹5. [-2]…

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Q: S Let H be the set of all vectors of the form 3s 2s such that H = Span {v}. Why does this show that…

A: H is the set of all vectors of the form s3s2s.  s3s2s=s132 where s is arbitrary. Thus any vector in…

Q: The position of a particle in space at time t is r(t) as shown below. Find the particle's velocity…

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Q: Find the coordinate vector of a = [*]B= -10-30- 2 with respect to the basis B = for R³.

A: Given: It is given that, x→=42-4 and B=152, 01-6, 001. To find: We have to find the coordinate…

Q: Determine the sum x = a n k=1 k+b, where a=5, b=5, and n=20.

A: x=a∑kk=1k=2+b, where  a=5,b=5 and n=20 so first we have to find ∑120k=1+2+3+4+...+20=       we know…

Q: 37. Suppose T and U are linear transformations from R" to R" such that T(Ux) = x for all x in R". Is…

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Q: The set is a basis for R². Find the coordinates of the vector a = [*]B= 0 [-24] relative to the…

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Q: Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's rule to approximate the integral 1,55 1…

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Q: Calculate the coefficient of 7 in the Binomial expansion of (x² + x−¹)¹7.

A: Given that x2+x-117  This is in the form x+an Here  x=x2  , a=x-1  and n=17   .

Q: i) Repeat the Cantor construction starting with the interval [0,1]. This time, however, remove the…

A: The cantor construction is to be done on the interval 0,1. To remove the middle fourth from the…

Q: Determine two initial values yo and y₁ so that the recurrence relation Yn+1 = yn (yn-1) has a…

A: Given recurrence relation:-  yn+1 = yn (yn - 1 )    .....(1).  we have to find two initial values y0…

Q: Consider a mass-spring system with mass m = 1, spring constant k = 2, and damping constant b = 2.…

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Q: (1) p(2) = U} is a (vector) subspace of the (vector) space of real polynomials, R[z]. True (i) If A…

A: (.)  Vector subspace :  Let  'V' be a vector space over the field 'F' . Then a non - empty subset…

Q: In July 2018, Volkswagen sold 7,600 cars in Canada. This represents 4.3% of the Canadian Car market.…

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Q: Determine which sets in Exercises 15-20 are bases for R² or R³. Justify each answer.

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Q: Determine the ceiling of the geometric sum ab, where a=1, n=8 k=0 and b=1.16, that is determine the…

A: a=1n=8b=1.16 We have to find ∑k=0na·bk

Q: Let P₁ = (2, 4, 2), P₂ = (1, -2, 0), P3 = (4,3,0) be points in R³. Find the general equation of the…

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Q: 9.) Find the function whose 2nd derivative is given by f"(x) = 1 - 4x where f(−1) = 1, and f(-1) =…

A: Given that , f''(x)=1-4x  ------(1) Now integrating both sides of (1) with respect to 'x' we get,…

Q: dy dx dy dx + + 318 2y X = y = sin(x) 1 x² " given that y = 2 when x = 1 dy dx + 2y tan(x) = sin(x),…

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Q: A club swimming pool is 29ft wide and 41ft long. The club members want an exposed aggregate border…

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Q: : Assess your knowledge Solve the following equation, m -17x-2=-7x+17   ( explain well with proper…

A: Given equation  m-17x-2 = -7x+17

Q: In each of Problems 9 and 10, solve the given initial value problem and determine at least…

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Q: Consider the following proposed proof that a continuous function f: [0, 1] → R is bounded (special…

A: By the definition of continuity, f:X→ℝ is continuous at a point c∈X if for every ∈>0 there exists…

Q: Calculate the median of the following data: X f 3-4 4-5 5-6 6-7 7-8 8-9 9-10 10-11 3 7 12 16 22 20…

A: As per the guidelines I have solved first problem.

Q: [2]- and b -G] such that 7(6₁)=56, +46, and 7(b) = 36, +56₂ Let b₁ == B= The set 2 (a) The 28-matrix…

A: We can find Matrix.

Q: 1. Using the abbreviations specified below, symbolize the following English sentences in the…

A: Given: A: Killing zombies is morally permissible.            B: Zombies are persons.            C:…

Q: How much interest will Lexi have to pay if the gas company charges 1.5% late fee a month and she is…

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Q: Problem #2: If 0 in the image below, find a normal vector for the plane whose magnitude is 1 and…

A: This is a plane containing z axis. This means the equation of the plane can be written as  x+λy=0…

Q: Find the determinant of the n × n matrix.

A: The determinant of the n × n matrix. 1-n11…111-n1…1⋮⋮⋮…⋮111…1-n

Q: For each problem, sketch the region bounded by the graphs of the functions and find the area of the…

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Q: Describe the correlation between the age of students in the class and their height. Describe the…

A: Generally with the increase of age, height increases. But in a class of students this is not always…

Q: 1. (a) Consider the matrix A: (b) Let - 2 4 1 0 6 t t 13 8 8 20 22 -1 teR. Compute the determinant…

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Q: Sam’s wage goes up from $11.45 an hour to $12.82 an hour. What percentage increase did he get? If he…

A: We have to find percentage increase in wage and new hourly wage in next hour.

Q: could you plz explain more about the b part? i didn't get it

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Q: If we want to prove that is sqrt of 3 irrational could we use even and odd?

A: To Do: We have to check if we want to prove that is sqrt of 3 irrational could we use even and odd?

Q: 6. State two ways to determine whether or not an n x n matrix A is invertible.

A: To Do: State two ways to determine whether or not an n×n matrix A is invertible. Also, solve…

Q: U), and C=(5, -7,-5) has a right angle at

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Q: Example (continued): -1 1 1 If P = 0 0 1 1 2 0 then D = 1 -1 1 If P = 0 0 1 1 0 Incorrect answer.…

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Q: The table below gives the height and shoe sizes of six randomly selected men. Height Shoe size If a…

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Q: sure ph of 12x+y=40 is shown in blue. rdinates of the point at which this line ats the line y=0 are…

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Q: 2: Find: L-1[: 1 3 - 3]

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