Please explain a, b, & c in a readable way

Q: Write the function in terms of unit step functions. Find the Laplace transform of the given…

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Q: For a function f: A → B and subsets C and D of A, prove that f(CUD) = f(C) Uƒ(D).

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Q: Prove that if p and q are distinct odd primes, then we have (p-1)(q-1) 4 25 52 TID = (-1) quadratic…

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Q: PROBLEM 1 Give an example of a function that is one-to-one but not onto and an example of a function…

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Q: Find the coordinates of a point on z-axis which are at a distance of 7 units from the point P(3, -2,…

A: Given that a distance of 7 units from the point P(3, -2, 5).

Q: you explain this part? I'm finding myself confused as to how you got the 1/3 [2 -1, -1 2] matrix

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Q: Find a basis for the ideal √(x³ - 214 + 2x² - x, x5-14-21³ + 2x² + x − 1). ស

A: We have to find a basis for the ideal x5-2x4+2x2-x,x5-x4-2x3+2x2+x-1

Q: Write the following integral in cylindrical coordinates but do not evaluate. z dv E where E = {(x,…

A: Given That : Triple integral in cartesian coordinates  bounded by the region E are as follows :…

Q: Suppose you are driving down a highway at a constant speed of 55 miles per hour. After traveling for…

A: Given: Speed=55 milhr           Total time traveled=5 hrsRequired: Total distance traveled

Q: x"+ 9x = -10 8 (1-2) Initial Conditions: x (0) = 1, x'(0) = 5 8 (t) = the Diract Delta Function Find…

A: Use Laplace to solve.

Q: a) Draw the Hasse diagram for the poset divides (1) on S=(2,3,5,6,8,24,36} b) Identify the minimal,…

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Q: [ 2xy²zda + 2a²yzdy + (x²y² − 2z)dz where C' is the curve given sint, 0≤ t ≤ 27 traversed in the…

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Q: W Use the method of reduction of order to show that if r is a double root of the auxiliary equation…

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Q: Find a value corresponding to the following series. 11. + 1 1/2+1/2/15 + 1/1/7/7+ •

A: This is a question of infinite series.

Q: View Policies Current Attempt in Progress Estimate the minimum value of g (x) Round your answer to…

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Q: 17. Determine how many components the graph has, and explain why does it have that number.

A: A graph is said to be connected if there is a path between every pair of vertices. For the given…

Q: 4. For the cylinder with patch X(u, v) = (R cos u, R sin u, v), (a) Find the normal vector U. (b)…

A: Given Data: Let us consider the given data, Xu,v=Rcosu,Rsinu,v. A non-zero vector that is…

Q: in different toys have to be distributed among n children. Find the number of ways in which these…

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Q: an = nan-1, ao = 5 an = 2nan-1, ao = 1

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Q: let mal and e & 1 (n) be diam, non-Ma we have,

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Q: ace transform of the f 1+ sin2t

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Q: Find the limit of the sequence {(₁+ 3 n+ 5 2n S

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Q: The function f(t) is defined by 0<t≤2 2 <t≤ 5 -2t+4 f(t) = -6 with f(t+5) = f(t). Evaluate f(-4.4),…

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

Q: A data set has a mean of 25 and a standard deviation of 12. If a data value has a z-score of z=…

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Q: (b) For ($(t) = (ýdı yöu). let y^² = 4²" + c₂us →di y" (0) = (6) >> So you = ( 2 Sintl) + (os (t)…

A: The columns of the fundamental matrix are the solution if the system X'=AX.

Q: For nists of integers, provide mula or rule that generates the terms of quence that begins with the…

A: We have to write the simple formula for the given terms. To do so, we need to analyze the pattern.…

Q: Determine the solution of the following differential equations. a) (D² +9) y = 81x² - 14cos3x b) (x…

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Q: Solve the following differential equation: 2ty' + y = 5t², y(1) = 2

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Q: Consider t as time, and x and y as sptial independent varaiables. State teh following classical PDES…

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Q: A Find all solutions (exact form) on the interval 0 < x < 27 Include reference triangles. (write the…

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Q: 3. Express the generating function of the sequence (c.) in closed form where = (r+1) 3r+¹. (r+2) for…

A: Given : cr = r + 1·3r + 1·r + 2   To find : The generating function of the sequence cr in closed…

Q: a. Identify the function's local extreme values in the given domain, and say where they occur. b.…

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Q: (x¹+x5 +x6) (x³ + x² + x³ + x² + x²)(1+x+x² + x³ +...).

A: To find the coefficient of x10 in the expansion of the power series

Q: Topic: Time rate algebraic functions A plane is traveling at a constant speed of 500 miles per…

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Q: Write cos x in terms of tan x in quadrant II. 1 2 √1+tan² x 1 2 √1+tan x O O O cos x = - COS X = cos…

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Q: Find the isogonal trajectories cutting at an angle of arctan 4 to the family of curves y = Inx + C.

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Q: Find the accumulated value of an investment of $15,000 for 4 years at an interest rate of 1.55% if…

A: Since you have posted a multi subparts question according to guildlines I will solve first…

Q: 4. Trace the curve: y² = x²-4x-12 x²-2x-3

A: y2=x2-4x-12x2-2x-3

Q: square root 4n divided by square root 5n3

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Q: = (-² −4) ² (a) AB If A = -6-16 (c) 14+24 (b) BA -6-63 12-21 A² = AA 9+28 -21-42 and B = =(-²3). 4…

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Q: Obtain the general solution to the equation (2y²x + − )da + (2yx² − cos y)dy = 0.

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Q: 8. (a) Determine whether each series converges or diverges and write a brief explanation. Σ…

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Q: GIVEN: A researcher aims to know the impact of COVID-19 on the companies in Southwest America…

A: The objective of the problem is to determine the variable of interest of the study. The researcher…

Q: [i] Solve the following system of linear equations using elementary row operations. If the solution…

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Q: Find the Taylor polynomial P₂(x) for the function f(x) = centred at the point c = 7 P₂(x) 2+#

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Q: Matrix A is the coefficient matrix corresponding to the system of equations Aï = 6 . Assume the…

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Q: Line integrals Use Green’s Theorem to evaluate the following line integral. Assume all curves are…

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Q: (88) Write a nonzero vector in span (S) that is not equal to any of the vectors in S.

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Q: Use Euler's Theorem to find a number x, 0 <x<7, such that x^21 = 3 (mod 8)

A: By Euler's theorem, for any number x such that 0 &lt; x ≤ 7,        xφ(8) ≡ 1 (mod 8)       =&gt; x4…

Q: A rectangular lot is to be enclosed with two types of fence. Two opposite sides must receive a…

A: It is given that the rectangular plot is to be enclosed with two types of fence. Let x be the length…