Prove that the smallest member of a set, if exits, is the greatest lower bound of the set.

Q: Obtain general solution of the D.E. y + (1/3)y = e'y A) 1/x = e (c - 3x) B 1/y³ = e* (c - 3x) 1/y = ...

A: The given equation is Bernoulli equation we will solve this by substitution method

Q: Determine the location and value of the absolute extreme values of f on the given interval, if they ...

A: To find- Determine the location and value of the absolute extreme values of f on the given interval,...

Q: Evaluate the following integrals. 1. /'e"z de 4x sec 3

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Q: Direction: solve and analyze each of the following problem in neat and orderly manner. Do this in yo...

A: Here we use the technique of Auxillary equation .

Q: OP B EO ON M

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Q: How many 3-letter codewords can be formed if: At least one of the letters is to be chosen from the ...

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Q: + k?y = 0 ... What type of D.E. is this? Linear, Ordinary B Nonlinear, Partial Linear, Partial Nonli...

A: The given differential equation is  d2ydx2+k2y=0 ......(1)Defination : General form of a 2nd order l...

Q: 15. Let {fn} be a sequence on C([a, b]). Assume that fn (x) 2 fn+1(x) for all x E [a, b]. Show that ...

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Q: Suppose you have 5 different flags available to make a signal. How many ways can this be done if you...

A: Given there are 5 different flags.

Q: 60° 60

A: we know that measure of the angle on the circle is half of its intercepted arc.    

Q: Solve the following  inverse trigonometric and hyperbolic complex numbers in their rectangular form....

A: As per the question we have to find the value of Tan-1(3.0642+2.5712i) in rectangular form using inv...

Q: S cos²(2x)dx

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Q: The integral of the given function | cos(9x) cos(5x)dx is equal

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Q: What's the current yield of a 3.8 percent coupon corporate bond quoted at a price of 102.08? (Round ...

A: Given that 3.8% coupon corporate bond quoted at a price of 102.08. Formula for current yield is curr...

Q: 12x :- 2x+スメ t. 3x-18 xメ-5x-6

A: Given expression is 12x3x - 18 ÷ 2x2 + 2xx2 - 5x -6

Q: 3. (a) ( ry' + 3r²y = (b) y(1) = 0, y/(1) = 1, by an expansion of the form y = E an (x – 1)", use th...

A: Given the equation is 22+x2xy''+xy'+3x2y=0

Q: 4x+20 x²+X X2 2x+10

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Q: A particular security's default risk premium is 4.20 percent. For all securities, the inflation risk...

A: The equilibrium rate of return (EROR) is calculated by the following formula.  EROR=DRP+IRP+RIR+LRP+...

Q: 3) Simplify the expression. State what value(s) of the variable must be excluded from the answer.

A: The function in the form a0xn+a1n-1+···+an is called an algebraic function. The expression in the fo...

Q: Given the ordinary differential equation d'y dx² + dy -6y =0 with yco) =0 and dy (6) =1 , the value ...

A: Let us consider the homogenous differential equation y''+py'+qy=0 then the solution of the different...

Q: If m1, m2 are the real and equal roots of the auxilary equation of second order linear differential ...

A: Let us consider the second order differential equation y''+py'+qy=0 To solve the differential equati...

Q: the first house is $1, 190, ase 1.7% every year. The B- ly rent over time.

A: The future value as, FV=PV×1+gn

Q: Let a,b be two real numbers and define a*b=ab+a+b. What is the identity element for this operation? ...

A: Given operation is a*b = ab + a + b

Q: (D² + 4D + 5) y = 50x + 13e³x

A: To obtain the general solution of the nonhomogeneous differential equation y''+pxy'+qxy=gx, apply th...

Q: kimum and minimum r3 9y +1

A: Given as, f(x)=x3 -9x+1, -∞,∞

Q: Determine a region of the xy-plane for which the glven differentlal equation would have a unique sol...

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Q: 5. All are examples of tautologies that are implications except A. (pa q) →p В. p - (pa 9) 9 - (pVq)...

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Q: Nita invested in a simple, ordinary annuity that earns 4.1% interest, compounded semiannually. She d...

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Q: Eliminate the arbitrary constants of the equation y = ce-2x + C2e3x (A) у" - 4y' - бу 3D0 в) у"- у -...

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Q: Question 6 5 12 B = |1 11 and C = |-9 1 -5 |. Which of the following 14 6 -11 [16 -7 4 -3 13 7 10 0 ...

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Q: A rectangle has dimensions of 9 in by 7 in. Find the exact volume (in cubic inches) of the solid of ...

A: Introduction: When a rectangle is rotated about any of its sides, as a result, the cylinder is produ...

Q: Problem 3: Prove that between every two rational numbers a/b and c/d a) There is a rational number. ...

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Q: Points D, E and F are midpoints. Point G is the circumcenter of AABC. Find the following measures. 1...

A: Given triangle ABC is  where D, E, F are the midpoints and G is the circumcenter of the ∆ABC. Circu...

Q: 4 1 Consider matrix A : 3 5 (:)-

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Q: y": 2. cy's (c² +1}y =0

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Q: 3 4 6 C3 C5 C4 C5 C3 C4 C2 C1

A: Given timetable as, As per rule, allowed to answer first three subparts and post the remaining in t...

Q: .2 dx V4x – x2 3.

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Q: Factor 14d - 6. Write your answer as a product with a whole number greater than 1. (D) Submit

A: To write as a product with a whole number greater than 1.

Q: By using partial fractions find the general solution of the following differential equation: ds dt t...

A: Given that,                      dsdt = tt2+t - 2 . We have to find the general solution of this dif...

Q: Find the LCM:24x and 8x"-16x

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Q: Q2/ Find the volume of the solid generated by revolving the region bounded by y = x² +1, y = x+ 3 ab...

A: Given Equation of parabola y=x2+1. Equation of line y=x+3.

Q: Suppose that f is a function whose domain is R and satisfies the following properties: • f(r) = -1 w...

A: Given: Let us consider the given function  fx=-1,x<-21,x=00,x>2 i) Let's define the function f...

Q: Given the 3 vectors u, v and w in 3 dimensional space. If v→·(u→×w→)=0 which of the following state...

A: Introduction: Suppose three vectors a→,b→,c→ are provided. Then, their scalar triple product is expr...

Q: 4. Z,/Z2 5. Z,*Z2* 6. z,3

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Q: a of the region bounded by y=4x-x^2 and y=x

A: the area bounded by two curves f(x) and g(x) is given by ∫abf(x)-g(x)dx now  y=4x-x2 and y=x2-2x the...

Q: Solution of dy/dx + 2xy = y is (A) y = ce* B y = ce -? © y=ce*²_ - x (D y=ce*-x2

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Q: Find the 5™ roots of the complex number [(2+x) – 5i] , where x = last digit of your ID Number.

A: To find- Find the 5th roots of the complex number 2 + x - 5i, where x = 2

Q: Ted skated through one of the face-off circles at as skating rink. His path through the circle is sh...

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Q: Find the inverse of the given matrix, if it exists. 1 -2 1 A = 5 -9 4 2 3 -5 ... Find the inverse. S...

A: Let A be a square matrix. The inverse of the matrix A is calculated by the formula A-1=1AadjA Where ...

Q: Amount of deposit, $ (x,) 750 2500 3000 6000 12500 Number of depositors (n;) 96 107 130 89 78 Round ...

A: Sample mean is the measure of center of the data. It gives the overall observation of the behavior o...