Show that cosh x> 1 + x² for all x.

Q: Suppose a marathon player covers 7 kilometers with a speed of 30 kilometer per hour in a race for…

A: In mathematics, the relevant fee of a fixed of information is expressed as a median of a listing of…

Q: le is the Sum 4. The length of a certain rectangle of the 1st nine consecutive geometric progression…

A: The First 8 consecutive even indexed Fibonacci numbers are: 2, 8 , 34, 144, 610, 2584, 10946,46368…

Q: Given any nontrivial Euclidean space sis (e₁,..., en) for E we can construct an ortho perty that for…

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Q: ..y yun.. 40mA B: Give the prime factorization of the number 34417

A: 34417= 127×271 The only divisors of 127 are 1 and 127 itself this implies that 127 is a prime…

Q: 114 f(x, y) = (xy²-1 y-1 tion f(x, y) at the point (1,1), where (x, y) = (1,1) (x, y) = (1,1)

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Q: In the next integral S substitution is considered 2x = 5sin 0, after performing the trigonometric…

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Q: Soal Latihan 1: Diketahui f(x) = 2x − 5 dan - 1-6x g(x) = 3r+2

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

Q: 22. Evaluate xyz dV, where E lies between the spheres p - 2 and p- 4 and above the cone - 7/3.

A: Solution:-

Q: A tank initially contains a solution of 14 pounds of salt in 50 gallons of water. Water with 1/5…

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Q: 6. Which digit would occupy the units place of 6

A: Note:  Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: HOMEWORK 16: Graph the following equations. 1. y = (x2 + 2x +1)(x – 4) y² = x² + 5x + 7 2.

A: Given 1 y=x2+2x+1x-42 y2=x2+5x+7

Q: 2. 2x² -5x=10 Show by completing the square that the solutions to the equati ax²-bx-a=b are x=-1 and…

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

Q: If A = 0J, then e = cos 01 + sin 0J = = cos sin 0500). - sin

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Q: Verify that the functions are solutions to the associated homogeneous differential equation, then…

A: As per the question we are given the following second order linear differential equation : 4x2y'' +…

Q: How long will it take for an investment of $32,000 in a mutual fund to mature to at least $100,000…

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Q: - Let a and c be positive constants. Let C be the upper semicircle (x − a)² + y² = a², y ≥ 0, from…

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

Q: B: By using Homogenous method solve the first order differential equation (1 + e*%) dx - e²% (-1) dy…

A: We need to solve the differential equation: (1+exy)dx-exy(xy-1)dy=0 first by substituting x=vy we…

Q: Find the orthogonal trajectories of family of curves x-y=cx^2

A: To determine the orthogonal trajectory of the equation f(x,y)=c Find dydx Replace dydx→-dxdy Solve…

Q: b) A fianchetto is a special move which provides the quick development of the bishop (piece at cl…

A: We will draw diagram and find position of pawn and bishop . Then find there displacement vector

Q: Problem 2: Use the definition of the Laplace transform to find the transform of the piecewise…

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Q: A3: For the reaction Ag2S (s) 2 Ag+ (aq) + S²( [Ag*]? (aq), K =2.4×10+, If [S²] = 0.0023M, what is…

A: Solution : Keq  for the reaction, aA+bB→←cC+dD Keq=CcDdAaBb Where, [A] is concentration of A And…

Q: ers to the memorandum (founders of the company) . The founders

A: The transactions of the journal entry is given as,

Q: How many complex roots has the equation x⁷ + x⁴ - x² - 3 = 0

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Q: 1. Use Mathematical Induction to prove each given statement. (b). VnE Z+, anan+3 = an+1 an+2…

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Q: ди ди following partial differential equation = дх at

A: Given,      ∂u∂x=∂u∂t-u                     ...(1)

Q: When eight (8) machines are running, the daily production can be completed in six (6) hours. If two…

A: Given that 8 machines are running, the daily production can be completed in 6 hours.

Q: Suppose f(x) is the function such that for x > 0 we have ƒ(x) = (e* − 1) ln(x) and for x 0 için…

A: A non-stop characteristic in arithmetic is one wherein a non-stop version of the argument reasons a…

Q: Use pascal's triangle to expand and write the simplified form of (3x + 1)4 and determine the…

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Q: Use graphical method to solve the equation y=5x²-x;y=5x-1

A: Here are given equations as y=5x2-x,y=5x-1

Q: 0-(x-2,2) D. Tell whether the following equation is a function or not. if it is a function, write it…

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Q: 5. The base of a right triangle right triangle is equal equal to the sum of the first ten,…

A: Given: The base of right triangle is equal to the sum of the first ten consecutive odd indexed in…

Q: 1) IP ged (a,b) =p,where pis prinemteger the пр 2) р? 3) рогра и) мои gcd (o², b)

A: Given  gcda,b=p  where p is prime integer.

Q: Fin the future value of an ordinary annuity with regular payment of p 1000 at 5 percent interest…

A: Given  (Present value) p=1000 (Interest rate) r=5%  (Number of period) n=3 year compounded quarterly

Q: The area bounded by y=1-x² and x+y=1 is submerged vertically in the water with the water level in…

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Q: Verify that the functions are solutions to the associated homogeneous differential equation, then…

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Q: Examine the co convergence of the sequence on ² Sinan 2h Whose general term is (an) Find the limit…

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Q: Find the Fourier series of the following function... -2 #<t< . f.(.t.) =.. ·2. - < t < 2. I…

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Q: Use laplace transform to find Initial value problem 2y" (t) + 219y=e¹ + e¯¹;y(0) = y′(0) = 0

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Q: 2.7 Given that the spacial components of motion, x = x(X, (), are: x₁ = X₁ + X₂ (e' - K), X₂X₁…

A: Solution : x1=X1+X2(et-K)      …(1) x2=X2+X1(e-t-K)   …(2) x3=X3    …(3) Solving above equations,…

Q: Definition: If A, B = Matnxn (C), we say A and B are conjugate if there is an invertible matrix C…

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Q: An MBDA official investigated an accident in Roman highway. They saw a 200- feet-long skid mark…

A: Use the following formulae, to obtain the solution. Velocity, v=dxdtAcceleration, a=dvdt Where x…

Q: For the equation y' = y sin (-x), y(0) = 1, get starting values by the Runge-Kutta Fehlberg method…

A: Solution:Given thaty'=ysinπx, y(0)=1Applying separation of variablesdydx=ysinπxdyy= sinπxdxNow,…

Q: Using equivlance law   p ∨ (q ∧ ¨ r)   ≡ p ∨ (¨ r ∧ q)  by:  _______________________________…

A: Solution : Laws: Commutative law : a∧b≡b∧aa∨b≡b∨a Distributive law a∨b∧c≡a∨b∧a∨c can interchange…

Q: Find a vector function r(t) that satisfies r′′(t) = [6t, −2t−1/2, 1], r′(1) = [0,1,0],and r(1) =…

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Q: A is the smallest closed superset of A

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Q: Suppose gcd(a,n) = 1. Then aφ(n) ≡ 1 (mod n).

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Q: Given the sequence defined with the recurrence relation: ao = 1 ak = 3k-ak-1 +1 for k ≥ 1 Using…

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Q: 7. Suppose that {an) is defined recursively by an = a-1-1 and that ao = 2. Find a3 and 44.

A: Solution :-

Q: Q2) If n is a prime number, then prove that Z/(n) is integral domain.

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Q: let V = M 2x2 (IR) M = { A€ V A = A²} *} N = {A = V A = -A²} Subset of the vector space V The answer…

A: Direct sum : If V1 and V2 are two subspaces of a vector space V, which can be expressed as V=V1+V2…