1) 1. Determine which of the following integers are prime, if they are composite show the prime factorization. a) 7902 b) 202 c) 83 d) 241 e) 331 f) 439

Q: and B (,0). B a) Write down the coordinates of the midpoint of line segment AB. Another line, L2,…

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Q: Show that convolution with a given function f commutes with differentiation; that is, show that…

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Q: First, raise P to a high power. Then directly compute the steady- state vector. [1/3 1/4 0 ----- 1/3…

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Q: What is the output of the combinatorial circuit shown below? P 9 r pe (q^¬r) Opv (-q^r) O¬(p→ (q+r))…

A: Given is a combinatorial circuit.   To Find: The output of the given circuit.

Q: 1. Find the maximum and minimum distance from the origin to the ellipse 2² + xy + y² = 3

A: 1) To Find: The maximum and minimum distance from the origin to the ellipse x2+xy+y2=3. As per…

Q: Find a counterexample in the following cases. 5. (P^Q⇒R)⇒(P⇒R)^(Q⇒R)

A: As per our guidelines,we are supposed to solve only first question. Kindly repost other question as…

Q: Use the 4th order Runge-Kutta Method to Solve the differential equation dy ax==(x-x-1)=²72 to find…

A: Given: dydx=y-x-12+2, y(0) = 1, h = 0.2We have to find y(1) and percentage error. Also, the exact…

Q: Q4: For Figure1, explain the difference in the output if you share the object by shx-2, and scale…

A: please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: B-Soive the Differential equation: y x√x+x 0, y(0)=1.

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Q: Graph the following trigonometric function for the interval 0 ≤x≤ 2: y = 2 sin(x)

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

Q: A] Evaluate the following relations for given values x-1 1) f(x) = 72 Find a) f(1) 2) 3) f(x)=√x-4…

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Q: Show that topologically completeness is weak hereditary property.

A: In this question, we have to show that completeness is a weak hereditary property.

Q: Apply Simpson's Rule to the following integral. It is easiest to obtain the Simpson's Rule…

A: Given:  The given integral is ∫08(6x5-4x3)dx=258048 To find: To find approximations and errors using…

Q: Find A – B for the following cases: (a) A = 6 units, east and B = 4 units, west; and (b) A = 7.0 m,…

A: What is Vector: Vector is a physical quantity. A vector has magnitude that is the length of the…

Q: 2- For below initial value problem find y(2). y' + y = V1 + cos²x, y(1) = 4

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Q: - Verify whether the following ODE is exact and find its general solution. (2xy - sec²x) dx + (x² +…

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Q: Take the Laplace transform of the following initial value and solve for Y(s) = L{y(t)}: (sin(at),…

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Q: 2+13 H.W. Evaluate zdz along the following paths- 1+12 (a) horizontally from 1 + 12 to 2 + 12 then…

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Q: de oring Complete the table below by finding the missing piece. Make sure to round everything to 2…

A: In this question we use the formula of  F = P(1+R/100)T Where F = Future value  P = principal T =…

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Q: The LCM and HCF of two number are 180 and 6 respectively if one of the number is 30 find the other…

A: Given that the LCM and HCF of two number are 180 and 6 respectively. That is LCM=180 and HCF=6. And…

Q: A) Solve the IVP: (3x − 4) + y = x ln 5x, y(3) = 3. - dy dx B) Discuss in detail the long term…

A: Note:- As per our guidelines, we can answer the first part of this problem as exactly one is not…

Q: Show that convolution with a given function f commutes with differentiation; that is, show that…

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Q: show that(2+i, 1+i) is not a complex scalar multiple of (3+2i,4+i)

A: What is Complex Number: A complex number is the extended number system. This number is of the form…

Q: [4 .3) Use the exponential method to find the FM for the system: y' = 0 Lo -2 4 0 01 -2 y 4]

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Q: 1. Let k be a nonzero constant. Show that the equation of the tangent plane to the surface xyz = k…

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Q: Question 3. Denote by a, b the lines with the Cartesian equations y=0, x=0 respectively, and i=…

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Q: -1 3. Show that sin-¹x = tan X √1-x² if |x| < 1.

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Q: Given a curve C: r(t), find a tangent vector r' (t), a unit tangent vector u' (t), and the tangent…

A: Given That  A curve C : r(t)=t i^+1tj^ +k^ and P:2,12,0 To Find : Vector r'(t) a unit vector u'(t)…

Q: 3B(i). Write y = 3x²2 + 12x+5 in the form of y= a (x+h)² + k where a, h and k are constants.

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Q: 5. Express the flowing quantities in rectangular form. a) sec( + j1) cot(17/12 + j3 cosh(2 + j3) b)…

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Q: Determine the behaviour of the set of 4 elements {1,-1,i,-i} under the ordinary multiplication of…

A: Given, The set of 4 elements are 1,-1,i,-i.It is to be shown that this set is group.

Q: 4 (1 + cosh(t))2

A: Introduction: Laplace transformation is important in the design of control systems. It is necessary…

Q: Howo Q Solve an²+ (4a²3b)x=12ab=0 2 5ab + 2b²

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Q: 8. Find the principal value of Arc tanh(1 + j2)

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Q: For #1-9, suppose a ball's heights in feet at time t in seconds is given by s(t) = 64 - 16(t− 1)² 1.…

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Q: 8. Exercise. ²dx T = 26+1 6 Use residues to derive the integration formula

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Q: 2) The sum of the first 16 terms of an arithmetic sequence is 212 and the fifth term is 8. a) Find…

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Q: Exercise 1) 2) 3) 4) 5) 6) 7) 2xyỳ = (y)² + 1 2xỳ = (y)² – 1 - (y-x)ỳ - y = 0 ỳ + (y)³ = 0 ỳ te-ỳ=0…

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

Q: Prove that A → B = (Vx)A B- (Vx)A → (Vy)B, if y is not free in B.

A: To prove that A→B ↦∀x∀A→∀yB, if y is not free in B.

Q: 4. (a) Evaluate the integral [ f*cos(y²) dy dx . 0

A: We have to evaluate the integral  I=∫01∫x1cos(y2)dydx

Q: Use Fundamental Theorem of Calculus, Part 1, to find the derivative of the function: 9(a)-In (1 +6³)…

A: Fundamental Theorem of Calculus (Part 1): If fx is continuous on a, b, and the function Fx is:…

Q: Find the root of equation 3.43x^3-6.4cosx-9.61 By using newton raphson method

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Q: Plot each situation on a number line and then order from greatest to least. 35 degrees, 17.88" feet…

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Q: Find the range to this graph

A: Domian of the given graph will be (- infinity , infinity)

Q: During the last year the value of my car depreciated by 30%. If the value of my car is ⁢17,000…

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Q: Solve the following homogeneous system of linear equations: 5x110x2+10x3-10x4 = 0 -2x7+5x2-2x3+x4 0…

A: Here we have to find solution of given homogenous equation