V3 1. Find the exact value of 2 log3-). Show all of your work for full 9. marks.

Q: The solution set of the equation x4-5x3-51x2-95x-42=0 is

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Q: ne of the angles is 69 degrees and the hypoteneuse is 5m long to the nearest centimeter how long are…

A: Introduction: The trigonometric identity for the right-angle triangle with sides a, b, and c is…

Q: 5. Evaluate the integral xdx+ (x+y)dy where C is the curve x 1+y from (2,1) to (2,-1).

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Q: ed on the

A: In this question, the concept of the Scale Factor is applied. Scale Factor A scale factor is a…

Q: The officers of a high school senior class are planning to rent buses and vans for a class trip.…

A: Let x represents the number of buses and y represents the number of vans. Given that, the rental…

Q: x, + 2.x, +3x, = 3 For the linear system 4x, + 5x, + 6.x, = 3, find the minimum norm solution. %3D…

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Q: 11, Discuss and Write When finding a percentage of a number, when might you prefer to express the…

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Q: Jamal is creating a 5 digit passcode using the digits 0 through 9. How many 5 digit passcodes are…

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Q: y = x2 + 5x – 1 fonksiyonunun birinci mertebeden türevini z = 0 noktasında h = olmakla ileri- fark…

A: Forward diffrence formula for first derivative at x=0,h=1/2

Q: y''+10y'+25y=e −5t arctant

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Q: 3) The complex conjugate of z is denoted as z. Solve for z in the equation: 27(1– j2) 2 - j3 j 1+ j2…

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Q: Follow the solution procedure as seen in the image. Incorrect answers or not following the solutions…

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Q: A plane carrying food and water to a resort island can carry a maximum of 2700027000 pounds and is…

A: Let x represent the number of food containers and y represent the number of water containers. From…

Q: 1. Set up triple integrals in spherical coordinates that compute the volumes of the following…

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Q: Find the volume of the parallelepiped with the given vertices. (0, 0, 0), (0, 4, 0), (-3, 0, 0),…

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Q: The equation of a periodic function f(t) is given below: (t'+4t+4 -2<t<-1 f(t)- f(t +4) = f(t) t+2…

A: The periodic function given is as follows: ft=t2+4t+4-2&lt;t&lt;-1t+2-1&lt;t&lt;0 (5) We are asked…

Q: For problems 1-2, find a general solution to the system x' = Ax where [6 1. A =

A: According to Bartleby guidelines, I am solving only the first question.Please resubmit the question…

Q: 10 10 minutes after or 5. minutes before 5:13

A: Solution

Q: then the eigenvalue corresponding to the eigenvector v is

A: We have to find the eigenvalue of that given matrix whose corresponding eigenvector is [1 0 1]

Q: 2. Solve the following initial value problem in terms of g(t): y" – 3y' + 2y = g(t) : y(0) = 2 ,…

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Q: Show that U(8) and U(10) are not isomorphic.

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Q: 8. Let f: R-→R be a field homomorphism. Show that f is identity.

A: Introduction: Like integral domain, a field also have homomorphism. A map f:F→K is referred to as…

Q: 3. Solve the initial value problem by the method of Laplace transforms: y/" + 4y = 2, y(0) = 4,…

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Q: Show that (n+1)Pn+1(x) = (2n + 1)xp,(x) – npr-1(x) ;n> 1? %3D

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Q: Let X be a Banach space an {xn} be a sequence in. X. Prove that if {xn} converges in norm in X, then…

A: Given: Suppose X is a Banach space and xn→x in X. To prove: xn→x weakly

Q: In Sl units, the position x of a spring-loaded electromagnetic valve varies over time t in the…

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Q: nd the midpoint M of the line segment joining the points P = (-2, 8) and Q = (-6, -4). M = OD %3D

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Q: Set up a system of linear equations and solve it to determine the general flow pattern for the…

A: Using Guass Eliminating method for solving the system.

Q: -5 A = B = -6 0 -3 2 Compute -A + 3B. The result is equal to:

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Q: Let f be a function defined fort2 0. Then the integral LEF(t)} = e stf(t) dt is said to be the…

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Q: CSc x e dx Cos x

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Q: (a) A list a1, a2, a3, a4 of rational numbers is defined so that if one term is equal 41 then 29 to…

A: Note: We are entitled to solve only one question at a time. As the questions are not related and the…

Q: Define the sequence {b,, } as follows: bo = 4 b, = b,-1 + 2n + 3 for n > 1 Use induction to prove…

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Q: Identifying The Characteristics of Exponential Functions Complete the table below for each…

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Q: Example 1.4.1 As an easy exercise, check that you believe that lim [0, 1- 1/n] = [0, 1) n-00 lim [0,…

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Q: Counting Cameron has 15 books and he wants to read 5 over the summer. He has 8 fiction books and 7…

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Q: The system of linear equations: X1 + 2x2 + 3x3 = 2 X1 – x2 + 2x3 = 1 Select one: О а. is an…

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Q: Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = x3 - 3x2 - 9x + 6 (a)…

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Q: Express each one of the following in the standard form a + ib. 1 (1+ i)? (iii) 3 - i 1 (vi) 1- 2i…

A: vii)

Q: Proofs: Construct proofs to show that the following symbolic arguments are valid.  Commas mark the…

A: To find- Construct proofs to show that the following symbolic arguments are valid. Commas mark the…

Q: Find the area of the surface. The part of the paraboloid z = 1 – x2 - y? that lies above the plane z…

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Q: S (z+1) (r +2)) da =? 를+ 클 +c where cis an unknown constant. o+ (z7 +) (-+) where cis an unknown…

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Q: (a). Use a linear approximation to estimate (1.99)4. [Hint: Use the linearization of f(x) = x*.]…

A: Use the following formulae, to obtain the solution. The linear approximation of the function fx at…

Q: Let y = sin(5x). If Ar = 0.4 at r = 0, use linear approximation to estimate Ay Ay 2 %3D Find the…

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Q: 4. Consider the following piecewise-defined function f(t) on [0, ∞0): 0, 0st<2 S(t) = { 2t – 4,…

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Q: Show that the exact length of the curve below is 2: y =sqrt(x − x2) − arcsin[sqrt(x)]

A: Consider a function y=f(x) defined from x=a to x=b. Then the length of the curve y from a to b is…

Q: Find the Re(z) and Im(z) z=logₑ(7+i)^4

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Q: Suppose n E Z. Prove that if n² + 3 is even, then n is odd.

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Q: A stone is tossed into the air from ground level with an initial velocity of 35 m/s. Its height at…

A: Given- A stone is tossed into the air from grounded level with an initial velocity of 35 m/s. Its…

Q: 2. Let f and g be any permutations. Show that the order of h = fgf- is the same as the order of g.

A: Here f and g are tow permutations  and we are given that h=fgf-1. We have to show that both f and g…