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Q: [et Suppose A(t) =0 0. cos t sin t, show that A(t)-1 exists and then find it. - sin t Co t. -

A: Given- At = et000cos tsin t0-sin tcos t To Show- Show that At-1 exists and then find it.

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A: The order of a differential equation is defined as the order of derivative.

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A: A discount series, also called a chain discount or trade discount series, occurs when multiple disco...

Q: (3,8, 3) The cross product of the two vectors u = and v-(7, 1,5) is the vector : Select one: w = (37...

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Q: 3. Give an example of a geometric series whose sum is T (recall that geometric series begin with m =...

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Q: EX show that 2. J능 (x)

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Q: L{S t? cos t dt}

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the 7th question.  Please s...

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A: We know that if the first order derivative of a differentiable function is positive (nagative) at a ...

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A: The given function is f(x)=x3+9x2+20xx2+x-12 We have to determined all the vertical asymptote/s of t...

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Q: Find a particular solution to the differential equation 2y" – ly – ly = -2r² + lt – 5e²". |

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A: The part of slope line is called the lineal element.

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Q: INSTRUCTIONS: Solve the following problems. Show a clear and organize solutions for full credits. Us...

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Q: 2. Solve the following Luñear partial differental equationsi cis -)p H. 24 dz +と?: 2 Pー×yY = z(2-2 a...

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A: To prove that for any integer a, 3 divides (a-3)(a+4)(a+2).

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Q: Find the length of the vector (12, 4, 4). O 8.75 О 5.18 O 13.27 O 7

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Q: Find the extreme values of f(x,y) = 3x + 2y? subject to the constraint x + y? = 1.

A: Lagrange multipliers method: First, solve the following system of equations: ∇fx,y=λ∇gx,y. Then, so...

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Q: one of the More important the orem {n real analysis is faton's Iemmar state the lemma aud say some t...

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Q: [B'] We may rephrase [B] using the definition of GA to get the following state- ment. If A e P, and ...

A: Given: A∈Ρ and B∈LΡ then AB∈LΡ

Q: 11)For what value of 'x', the expression x - 5x + 6 is poS A) x 3 B) x > 2 and x 4 and x 3

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Q: Solve the initial value problem by using Laplace transform, y" – 3y' + 2y = 4t-8 y(0) = 2, y'(0) = 7

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Q: = (1- t)y ,subject to the dt dy 1. Use Euler's Method to solve the differential equation initial con...

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Q: a) Expand in fourier series the perio dic Lunchion X+2, -2<x <-I 1lk+4) = 4La), xEA and SX+2 , -2 <x...

A: Given the function is fx=x+2-2≤x≤-11-1≤x≤12-x1≤x≤2

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Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.