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Q: Yttirum-90 has a half-life of 64.10 hours. Given an initial mass of 622 grams of the sample, how muc...
A: Given information Half life t12=64.10 hours And the initial mass m0=622 grams We have to find the nu...
Q: Find all the solutions of 18 sinz = 1. note: z is a complex number, so please solve for the comp...
A: Please check step 2 for the solution.!
Q: 4. Find the Fourier cosine series of f(r) = r - 3 on [0, 7]. Expand the series to give at least the ...
A: We will find out the required value.
Q: 56 Consider points P and Q in the x-y plane, with P = (1,0) and Q = (0,1). The line integral Q 2|(xd...
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Q: п(п- 1) (п + 1) n Prove that i² – i = | 3 i=0
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Q: Prove the rule of exponents (ab)^n = (a^n)(b^n) by using principle of mathematical induction for eve...
A: We need to prove the rule of exponents abn=anbn by using principle of mathematical induction for eve...
Q: A function f is given on the interval [-m, 7] and f is periodic with period 27. (a) Find the Fourier...
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Q: The standard deviation for the mmber of pages in a pdf document having a discrete uniform distributi...
A: We need to find the standard deviation for the number of pages in a pdf document having a discrete u...
Q: Let R denote the set of real numbers. Let f: Rx R-> Rx R be a bijective function defined by f(x, y) ...
A: Introduction :
Q: GE)- 7. If a basis for R3 is B = and given [x]B = find i in the standard basis.
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Q: Problem 2. Prove by induction that, for every n 2 1 1 (i + 1) ¯n+1
A: We need to prove that, for every integer n≥1 ...
Q: ay Solve ex+y + x2 ey dx
A: Introduction :
Q: 5.6.27. Find examples of functions f,g from R to R, satisfying the following conditions, or prove th...
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Q: Cousi peR FOLLOWIN 6 The Sequence: 5ー X,-32 %3D PROve TuaT 2,>2 FOR aLle m71, FOR PROve THat aLL Com...
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Q: A particle moves along a straight line and its position is given bys (t) = t - 6t2 + 9 t + 5 At what...
A: We will find out the required time.
Q: Use a cosine Fourier expansion, as u(x,1) = u,(0) +E, (1) cosnx, to solve =e' cos2x in (0,1)×(0,+0),...
A: Given ux,t=u0t+∑n≥1untcosnπx∂u∂t-∂2u∂x2=etcos2πx in 0,1×0,+∞∂u∂x0,t=∂u∂x1,t=0, t>0ux,t=x, 0<x...
Q: Solve the following boundary value problem using Green function.
A: Given: Let the boundary value using Green function is, d2ydx2+γdydx+k2y=Asin ax for 0≤x≤L
Q: 10. Find the center and radius of the circle whose equation is x² + 5x + y² – 6y + 12 = 0. A. C(-2.5...
A: To find The center and radius of the circle.
Q: 23. Determine the fourth term in the expansion of (-2x – 3)³. A. -81 С.-27 В. 81х4 D. –27x3 24. Use ...
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Q: Let A be a known nxn matrix, b be a known n-dimensional vector and z be an unknown vector defined by...
A: Given A is n×n b is a known n-dimensional vector and x be unknown vector defined by solution of Ax=b...
Q: 5.6.24. Is the following statement necessarily true? Provide a proof or a counterexample. "If h: A →...
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Q: x² + x – 6 x² – 3x – 4 S0 Rational Inequality 1. Put the rational inequality in general form. R(x) w...
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Q: 2y' + бу — 3 сos 2t, y -1
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Q: 3 2 2 01 5 -4 1 Find the determinant of the matrix 4 -5 3 7 2 by the cofactor method. 3 L4 2 3 0- O ...
A: det(A)=sum of multiplication of elements and its corresponding co factors of any row or any column
Q: (2n)! Let a,= then a) a, b) a, c) a, d) a,
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Q: Let R be a U.F.D. and F its field of quotients. Then fo (x) any f(x) e F [x] can be written as f(x) ...
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Q: A survey was given to a group of ACC students. Which of the following variables are numerical? Check...
A: A survey was given to a group of ACC students. We find which of the given variables are numerical.
Q: Suppose that you toss a coin and roll a die. The sample space is shown below. (Enter the probabiliti...
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Q: Let A, B and C be non-empty sets and let X= (A-B)-C and Y=(A-C)-(B-C) .Check whether X=Y or not.
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Q: 2 For functions that are positive as r o we say f grows faster than g as x ∞ if f(x) lim = 00. Io g(...
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Q: Solve the given DE. (D² – 3D + 2) Y 1 cos² (e¬²)
A: Differential equations, method of variation of perameters
Q: Write TRUE if the underline number/word is correct and if not write the correct answer
A: According to our guidelines we can answer only three sub-parts and rest can be reposted.
Q: THE SET (1, 2, 4, 7, 8, 11, 13, 14) IS A GROUP UNDER MULTIPLICATION MODULO 15. THE INVERSES OF 4 AND...
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Q: Find the domain and range of
A: F(x)= ax+b/cx-d finding Domain ...then range....
Q: A teacher gives a multiple-choice quiz that has 3 questions, each with four possible answers: a, b, ...
A: Given that a multiple-choice quiz that has 3 questions, each with four possible answers: a, b, c, d....
Q: y" – y' – 6y = 1 1tex
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Q: 2x^4 - 3e^x + 2x Use Regula Falsi to find the x-intercept nearest the origin until fc=0.0000###. Use...
A: Let us find the root using Regula Falsi method in the next steps.
Q: 30. Find the term containing y12 in the expansion of (b + y*)". A. 25b³y12 В. 42b8y12 C. 35b*y12 D. ...
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Q: On the average, 36 out of 60 cars at the airport are taxi cabs. Write the ratio of taxi cabs to numb...
A: Total number of cars=60 Total number of taxi cabs=36 Ratio of taxi cabs to the number of cars =3660=...
Q: Radon-222 has a half-life of 4.00 days. Given its mass 5.488 gram at a certain time, what was the sa...
A: Given that, Radon-222 has a half-life of 4.00 days. Given its mass 5.488 gram at a certain time We h...
Q: Let E be the solid that lies above the cone Z = sqrt(1/ 9 x^ 2 + 1/ 9 y^ 2) and below the sphere x^ ...
A: Volume is the amount of space occupied by the closed surface. In this problem, region E is bounded b...
Q: If f: R R and g: R R be functions defined by f(x) =x + 1 and g(x) sin x %3D %3D
A: Introduction :
Q: Find the general solution. 1. (2vw + w – ve -2v)dv + vdw
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Q: 3 4 If a basis for R3 is B and given [*]B find i in the standard basis. =
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Q: Suppose F(z, y) = xyi + (x – y)j and C is the triangle from (4,0) to (-4,0) to (0, 4) to (4,0). (a) ...
A: We will find out the required solution.
Q: Find the x-coordinate on the graph of f (x) = x ³ – 12 x where the tangent is horizontal. A) 1,-1 B)...
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Q: 40. Find the coefficient of the a³z5 term in the expansion of (a + z)®. C. 72 D. 96 А. 56 В. 64
A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as...
Q: Direction. Answer the following: Finds the roots of equations using required relative error dk < 0.0...
A: Given fx=x3-2and a=0, b=2
Q: Consider the function f (x) = x² -4 sin (x) 1. To use Newton Method, what will be the derivative of ...
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Q: uestion 16 For any two events A and B to be not independent, P(AN B) = P(A).P(B) True False
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solve using fourier series
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- Get the derivative of all the functions. 1. ?(?) = 9?^5 + 2?^4 + 3?^3 + 7?^2 + 1 2. ?(?) = 5?^2−2 3. ?(?) = 7/?Suppose a student is a carrier of the flu virus and returns to his isolated campus of 1000 students. If it is assumed that the ratio with which the virus spreads is proportional to the product of the number x of infected students by the number of uninfected students, determine the number of infected students after 6 days if it is also observed that after four days there are 50 sick students. Suppose also that no one leaves campus while the illness lastsUse differentials to estimate (2.03)4
- how to (w^1) get distributed back into (y+q^1)?Find the first and second order derivative w=3z7-7z3+21z2If the average rate of change of q (x) in the period (5,7) is equal to 8 and y (5)*y (7) = 16 and f (x) = 1 / y (x), what is the average rate of change of the function f ( x) In the same period ?!
- Provide a detailed solution and conclusion (without the use of piecewise function): The rate at which the total average number of COVID cases is increasing at x=10 tents and dxdt=1 tent per day, Given that if 25 tents are built, the average number of COVID cases per tent will be 6 cases while the average number of cases will increase by 2 per tent for each additional tent in the same area due to overcrowding.Estimate f (2.1, 3.8) assuming that f(2, 4) = 5, fx(2, 4) = 0.3, f y(2, 4) = -0.2There is the sale of two types of candy bars which have the profit $0.85 and $ 1.75 per bar respectively. Furthermore, the supplier offers an incentive of $0.75 if the total candy bars sold exceeds 1,500. Determine the function where p equals the profit and Xj equals the number of bar sold each type. If 550 and 750 bars are sold respectively, what is the expected profit? If 900 and 1150 are sold, what is the expected profit?