A radio station ordered hats and coffee mu give away as prizes. A total of 1,000 of the items were ordered, and 3 times as many c mugs were ordered as hats. In which equat does h represent the number of hats ordere

Q: Find the Laplace Transform of the following functions f(t) =t sinh( at) f (t) = 2te'

A: To find- Find the Laplace Transform of the following functions ft = tsinhat ft = 2tet

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Q: HoWe By the Same way prove that s X Jr (X) ノ+1

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Q: Evaluate f (6 + 3 cos z) dr using Simpson's 1/3 Rule (n=D4). O 12.386215 O 12.114624 O 12.42518 O 12...

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Q: fØ: R → S is a ring isomorphism. Th Nilpotent elements Idempotent elemen

A: The properties of ring isomorphism are given. We have to select correct properties of it.

Q: 4. Simplify the following: Note : m=5 n=3 x" Vy4 z² (x³ y6)0 x³ y-2, (x³ y4 z=7)(m+4) x yz

A: Solution

Q: QUESTION 2 Let g(x,y,2) = xyz? - ysinx Find vg(n,1, - 2)- Oa (3,4n, - 4 r) Ob3 OC (5,4n, - 4n Od.5. ...

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Q: 2 Solve the system of linear equations given below. -B -C+4D =1.8 4A -B-C = 0.5 -A + 4B - D= 1.3 -A+...

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Q: -1 -2 -4 Find the eigenvalues and eigenvectors of the matrix A 4 3 3 %3D and d2 = and dz = 15

A: To find- Find the eigenvalues and eigenvectors of the matrix A = -1-2-4040-303

Q: S. What is the estimate of the interal de J +6r-10 using a single application of Simpsoa's 1/3 Rule?...

A: We have to compute the value of the integral ∫011x2+6x+10dx using the single application of Simpson'...

Q: 7. Prove that the SolutmM of y + y = o is B sinx (hint y= Xu) by using Bessel's Functron definstian ...

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Q: 3. Note : m=0 a. Graph the following function: f (k) + 4 = 3-2x-m + 8 c. Expand logarithmic expressi...

A: Given: function f(x)+4=3-2x-m+8 m=0 f(x)+4=3-2x+0+8 ⇒f(x)=3-2x+8-4 ⇒f(x)=3-2x+4

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Q: Show that f dx = xV-1 + C

A: If ∫f(x)dx=F(x)+C, then it can be written that f(x)=ddxF(x). Here, f(x) is the derivative of F(x) an...

Q: Write 24,872 and 3071 in expanded notation

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Q: 2) y" + 4y' + 5y = 3e-2t, y(0) = 4, y'(0) = –7

A:

Q: (f) Let A, B and C be three sets. Prove by contradiction that if An B C C and r E B, then x ¢ A – C.

A:

Q: Consider the following binary set relation: R= {(1,5), (2, 2), (5, 1)}, on A = {1, 2, 5} a) Compute ...

A: Note: The set Bis not given hence w won't be able to solve part (c).  The given relation is R=1,5,2,...

Q: Ho We By the Same wayprove e that : X J, (x) V+1 xp

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Q: (f) Let A, B and C be three sets. Prove by contradiction that if An B C C and r E B, then x¢ A – C.

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Q: 1. Find one real root of In(x*) = 0.70 using five iterations of the Bisection Method on the interval...

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Q: 10= hyp 6.

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Q: (e) Decide if the following arguments are valid or invalid. State the Rule of Inference or fallacy u...

A:

Q: The first figure of the Sierpinski triangle has one shaded triangle. The second figure of the Sierpi...

A: The first figure of the Sierpinski triangle has 1 shaded triangle. The second figure of the Sierpins...

Q: Evaluate (p → q) → (r→ q) using the table below: T. F T F T F F F T TTTFFTFT O TTTFTFFT O TTTTFTFT T...

A: The given problem is to find the truth values of the given compound preposition  (p->q)<->(...

Q: Q4 Use the Euclidean Algorithm to compute d = gcd(854, 572) and find integers x and y such that 854x...

A:

Q: G. Solve in terms d Bessel 's functrm the followrng DES -3 •xy +7y +4xy =u (y=xu, Z= 2x)

A: Bessel's differential equation {\displaystyle x^{2}{\frac {d^{2}y}{dx^{2}}}+x{\frac {dy}{dx}}+\left...

Q: Which statement accurately describes the movement of an object under a translation vector A. The obj...

A: The translation vector are usually represented in the form of: ±a±b. If the sign of a is positive, t...

Q: 3) Sea la función periódica de periodo T = 2n t+ n (-n<t< 0) (-n <t< 0) f(t) = (0 <t < n) a) Dibuje ...

A:

Q: (a) Insert 4 arithmetic means between 1 and 15. (b) Insert 5 geometric means between 3 and 192.

A: Introduction: Suppose, in a sequence, the elements are in such a way that the difference between two...

Q: 4. A sphere is tightly enclosed in a cylinder. If the height of the cylinder is 12 inches, what is t...

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Q: 1.3 KPMN is a parallelogram. ON bisects KNM and OM bisects NMP. Let N= x and M = y and show that NOM...

A: A parallelogram is a quadrilateral in which opposite sides are parallel. The opposite sides of the p...

Q: 3 %3D 我一

A: 935÷1214 change the mixed fraction to improper fraction 485÷1214 change the division sign to multipl...

Q: Find the area inclosed between the curve y rom x = 0 to x = ? -(answer with dra 2

A: Introduction: The formula for the area between two curves f(x) and g(x) from x=a to b is given by, A...

Q: (d) Let P(x) be the statement “ x? >1"and Q(x) be the statement "x+1 < 4". The universe of discourse...

A: Note: Hi! Thank you for the question as per the honor code, we’ll provide only typed answer, we'll n...

Q: In the signal-flow graph shown, the number of forward paths is: R(s) C(s) Hi H2 Select one: а. None ...

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly rep...

Q: Suppose that f(4) = 2, g(4) = 3, f'(4) = -4, and g'(4) = 5. Find h'(4). %3D %3D %3D (a) h(x) = 5f(x)...

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Q: Find the value of P(?, 4) and P(?, 6) using permutation formula, where ? 13

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Q: x² : 4ay from x 0 to x = 2a

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Q: Define the binary operation in the set of rational numbers as: a*b = ab+a-b Which of the following ...

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Q: 88 3/2 412 115 3I5

A: the given fraction is 16÷32 to solve the division change the division into multiplication and take t...

Q: S (1-e-2) dr using a single segment Trapezoidal Rule? O 42.88 % O 15.3 9% O 10.56 % 34.66 %

A:

Q: x°dy + xydx = x²dy + 2ydx; y = e when x = 2

A: Given: x3dy+xydx=x2dy+2ydx; y=e when x=2 To find: Solution of given differential equation.

Q: Question 2 (a) Let U be the set of the total number of students at a school, A be the set of student...

A: Brief answer is given below.

Q: 18. 9y" – 6y' + y = 0, y(0) = 3, y'(0) = 1 %3D

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

Q: of chips is $1.75 and the price of each candy b lling a total of 17 bags of chips and candy bar chip...

A: Introduction: A linear equation in one variable has the standard form Ax + B = 0. In this equation,...

Q: Evaluate fo (6+3 cos a) da using Trapezoidal Rule (n=2). O 12.43167 O 12.26896 11.78097 O 12.386125

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Q: At what rate of interest compounded semi-annually for 8years will Rs 3150 amount to Rs 4720?

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Q: 5 cm

A: the given figure is as follows the base of the triangle is 5 cm