Multiply each fraction by its reciprocal and write the product 4) 7꽁x음= 6. 1) %3D 24 29 30 3) 91x음-

Q: Example 14. If f (x) = 0, for every x in the Cantor set P and f (x) = k for x in each of the interva...

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Q: 1. Le that if same lin 2. Co converg

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Q: ə) Í +s_ 1. For each of the following transforms, you are asked to find the original signal in the t...

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Q: The output to a mechanical system is denoted by x(t). The system is governed by the following ODE wi...

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Q: Find the harmonic conjugate of the following. e*²-y* cos (2xy) x²-y²+y

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Q: Show that we can partition 10 people into 5 groups of 2 people each in exactly 945 ways. Justify you...

A: We have to prove the given answer.

Q: Find the general solution of z= px+qy+p² + pq+q²

A: Given partial differential equation is z=px+qy+p2+pq+q2. We have to find the general solution of the...

Q: d.-tte-6c 3

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Q: A mass m is attached to both a spring(with given constant k) and a dashpot(with given damping consta...

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Q: Solve the following initial value problem. x*y" + 5xy' + 20y = 0, y(1) = 3, y'(1) = 10

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Q: Juan is making a collage, and he planned to form a circle by putting together various pieces of con...

A: A function f(x) is a rule used to associate a number to a particular x. If the input of the function...

Q: G= {5,9,11, 177 H= {4,5,6, 7,8.} Find GnH and G-H

A: The given sets are: G=5, 9, 11, 17 and H=4, 5, 6, 7, 8 The only common element in both sets is 5. Th...

Q: 1. Define the function f(x, y) on the non-negative integers recursively by (2f(;,y) if x is even and...

A: Given that the function fx,y on the non-negative integers recursively by fx,y=2fx2,y                ...

Q: Determine if the function satisfy the Cauchy-Riemann equation. 1. f(z) = z + Re(z)

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Q: 6. Mat A = magic(4) , Mat B = | 5 8 l10 7 [3 1. 6 3 4 20, Mat C =|11 11 30 l-2 5 11

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Q: Question 3 Compute the Laplace Transform of the following differential equations dy(t) + 3y(t) = u(t...

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Q: B. Evaluate the term asked by using the 1. tn = 45, t1 = 27, d = 9, n = %3D 2. tn = 79, t1 = 7, d = ...

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve the first three ...

Q: polynomial 12x³+kx²-27x+20. it is divided by 2x-3 and 3x-2. the reminder become equal. then also fin...

A: First we have to find the value of k .  Then we find the reminder when the polynomial 12x3+kx2-27x+2...

Q: what is the slope of the linear function 2x-9y=19?

A: Definition: The slope-intercept form of a line is y=mx+c, where m is the slope of the line and c is ...

Q: 3. Find the derivative of the following functions using the definition of the sine and cosine functi...

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Q: Perform the tasks below for the problem: f(x) = 2ỉ +9x2, with the initial point (#1, #2)= (5, 1) (a)...

A: The function given is as follows: fx=x12+9x22 The initial point given is x1, x2=5, 1. (a) We are ask...

Q: Solve the Schlömilch's integral equation 4. u(r sin t) dt, -T SIST. 1+x =

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Q: Suppose there is the following system of linear equations: X + 2y + z =6. (1) X + 3y + 2z = 9. (2) 2...

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Q: Solve by creating an organized list. Three coins are tossed. What are the outcomes? (You may use a d...

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Q: One card is drawn from an ordinary deck of 52 cards. Find the probabilities of drawing the following...

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Q: Ex.2. Show that the Serret-Frenet formulae can be written in the form dt = W X t, ds dn = W X n, ds ...

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Q: wich is greater 13.013 or 13.103

A: Given number are 13.013 and 13.103. We have to check which number is greater. Here, 13.103-13.013=0....

Q: CHAPTER 1. CURVES 22 Exercise 1.3.1 Find the length of the arc in one period of the cycloid x = t – ...

A: To find- Find the length of the arc in one period of the cycloid x = t - sint, y = 1 - cost. The val...

Q: Consider sequences (– 1)"n (i) Зп — 1 (1) cos T- (ii) n2+ 3n (iii) Зп2+ 5 n Which of the following s...

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Q: A particle moves in the x – y plane with velocity v = = (1-t)î + (4 – 21 + t² )i 4. where t is the t...

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Q: Given Values of Standard Form a b 1. 2x - 3x2 = 5 %3D 2.4 - x2 = 5x 3. (2x + 5)(x – 4) = 0 %3D 4. 2x...

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any ...

Q: 12m2 – 9m + 5m – 4m2 – 7m + 10

A: Given expression: 12m2 – 9m + 5m – 4m2 – 7m + 10 To determine: To simplify the given expression.

Q: 1. Simplify: 12 @6 3 Ө6 5 О6 24 9,

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Q: Solve the following initial value problem. y(4) – 4y" + 3y" = x, y(0) = 0, y'(0) = 0, y"(0) = 0, y'"...

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Q: (a) Show that M:= {x = (xn) E l² : I2n = 0, Vn E N} is a closed subspace of %3D the Hilbert space (b...

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Q: By using the principle of mathematical induction, prove that for n > 1 1+2+22 + 23 + 24 + .+ 2" = 2"...

A: Let the statement be 1+2+22+23+24+…+2n=2n+1-1  …………1 First we prove that the above statement is true...

Q: Also rotating and vibrating phenomena can be modeled with a general sine function. The radius of a ...

A: The general form of a sinusoidal function is f(x) = a×sinkx-p+q

Q: prove this statement: If the graph is discontinuous, then the complementary graph is continuous.

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Q: Use the basic probability principle to solve the following problem. Express each probability as a fr...

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Q: r-1 Solve + r

A: Introduction: To make it less hard or difficult; to make it simpler or easier To condense an algebra...

Q: Which glass will be filled first? sh 3 6 4 7

A: We will use simple logic here

Q: Use Laplace transform and find f(t) of the function. 53+3s2-2s+4 F(s) = s(s-1)(s-2)(s²+4s+3)

A: Solution

Q: 2. What is the monthly payment for a loan of 100,000 over 5 yea nominal interest rate is 12% compoun...

A: This is a problem of financial math, series.

Q: Find the inverse of the function f(x) = 3x-7 + 2 5

A: The inverse of the function f(x) is denoted as f-1x. The function and its inverse function are symme...

Q: a? +2 The sequence (a defined by a, =1 and .for n2 1. 2a a If it is given that sequence fa converges...

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Q: Find the continued ratio from the following ratios:

A: Given,         a:b=3:5,b:c=7:3c:d=9:2

Q: a C If for three distinct complex numbers z1, z2 and zz and three a? positive teals a, b and c, then...

A: Solution:-

Q: Show that -p> (q > r) and q → (p V r) are logically equivalent.

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Q: values. a) ⌊1.1⌋    b) ⌈1.1⌉       c) ⌊−0.1⌋         d) ⌈−0.1⌉       e) ⌈2.99⌉          f ) ⌈−2.99⌉ ...

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want...

Q: find dy/dx if y= x.sinx

A: Given function is y=xsinx. We have to find the dydx. Use multiplication rule of derivative ddxfx⋅gx=...