Need prove If R is a UFD and f(x) , g(x) are elements of R[x] , then c(fg) = c(f)c(g)

Q: The integral of the given function | 4sinxcos G) dx is equal –3 cos () – 6cos () А. + C 2 3 cos () 2...

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Q: Find Newton’s polynomial that interpolates f(x) = 1 x at x = 1, x = 2, x = 4, and x = 5. Use the tab...

A: Given  fx=1x and x1=1, x2=2, x3=4, x4=5  

Q: PLEASE HELP!!  Farmer Ed has 7,000 meters of​ fencing and wants to enclose a rectangular plot that b...

A: The area of a rectangle is calculated using the formula: A=l×w, where l, w are the length, width of ...

Q: The indicated function y, (x) is a solution of the given differential equation. Use reduction of ord...

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Q: Using the key matrix A = %3D

A: Given,          A=3221

Q: Prove that the sum of two negative definite matrices A and B is negative definite (A+B) meaning that...

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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: 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: Consider the initial value problem and find the solution: a. y" + 5y" + 17y' + 13y = 0, b. y" + 4ay'...

A: According to our guidelines we can answer only one question and rest can be reposted. 

Q: dy What is the general solution to the differential equation = (1+ y²)e*? dx

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Q: Differentiate y=(x2+3)(2x3+x2-3)

A: In this question, the concept of the derivative is applied. Derivative We can use a derivative to fi...

Q: The integral of the given function sin²2x cos 7x dx is equal sin 7x sin 11x sin3x А. 14 + C 12 44 si...

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Q: in the regi

A: It  is given that the density of a plate as, Then, the mass of the plate as, Now we have to find o...

Q: Solve for the missing angle measurement.

A: Given,      

Q: HOWDIDHE GET THE RESULT USING GAMMA? w/ 3. 413)

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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: ax²-9x x+6x-16 メ+7x-6 のーメクtンメ 18x

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Q: 102÷ x 12Z 16275° (a) 2215° (b) – 79. 3

A: It is known that complex notation in angle notation (Phasor): z=z∠θ°   and in Polar form it could be...

Q: Find the value or values of x for which the curve of the following functions has a point of inflecti...

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Q: Factor 14x + 10y. Write your answer as a product with a whole number greater than 1. (O)

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Q: The monthly rent for the first house is $1, 190, and the Bainters can expect it to increase 1.7% eve...

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Q: Is 6 a factor of 54y + 42z? yes no

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Q: 3. у" — у' — 2у %3D5 sin x y(0) = 1, y'(0) = -1 -

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Q: How you express appreciation for mathematics as a human endeavor

A: Given: Let us show the admiration for mathematics as a human endeavor.

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

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Q: Solve the linear congruence x3 – 7x² – 48x + 18 = 0 ( mod 54).

A: Please note that, As you have asked Answer number 10 , so I answered only Number (10).  

Q: For the vectors: (6, –5) and V = (-1,4) U = Which of the following is the correct value of: |3 7ỉ – ...

A: Here we have to find |3u - 2v| using given u and v vectors

Q: 20y gny %3D

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Q: Use the second fundamental theorem calculus along with the chain rule to find sint dt dx sinx 2x sin...

A: The solution of this question is in the image below-

Q: In a mathematics class of forty students, twenty- three are also taking chemistry, twenty are taking...

A: Given: Total students= 40 Students who have chosen chemistry = 23 Students in physics = 20 Students ...

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: |15 18 16 11 12 L 25 E.

A: A Hamiltonian path is a path which starts at any vertex of the graph and visits every vertex  of the...

Q: A card is selected from a standard deck. In how many ways could it be a face card or a prime number?...

A: Given that  A card is selected from a standard deck To find Number of ways could it be a face card o...

Q: 2. The costs of identical packs of sugar sold in different retail stores P18.50 P18.00 P20.25 P17.50...

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Q: Directions: Find the derivative of the following functions: 1. y = log,(x + 5)5 5. y = In x4 %3D 2. ...

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Q: ABCD is a rectangle. Answer th

A: Introduction: In geometry, a rectangle is a 2D shape with four sides and four corners. Its two sides...

Q: 3-2 6x x-7

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Q: A large private hedge fund contains a variety of assets including restaurants, shopping malls, newsp...

A: We will use basic arithmetic to answer this question. I have solved both the parts for you.

Q: 3x2 -12 at 9x

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Q: Find the volume of the figure below. 15 yd 12 yd 15 yd cubic yards

A: Here the base is a right angle triangle whose legs are 12 and 15 yards. The height of the base from ...

Q: Derive the expression of cot-'(2). Find the principal branch of the multiple valued function log(2z ...

A: We will be solving Q.4 as mentioned. (a). Let cot-1z=w, therefore cotw=z. Now consider: z=cotw=cosws...

Q: C. Find the slope of the line through the given points. 4. (4b2+ a², a²), (6b2 + a?, 5a?) 5. (2a2-b2...

A: The slope of the line is the measure of its steepness. It is the same as the tanθ, where θ is the an...

Q: 4x+20 x²+X X2 2x+10

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Q: Construct a function N--->N other than the usual successor function which satisfies Peano's Axioms. ...

A: We will basic knowledge of functions and mathematical knowledge to answer this question.

Q: In how many ways can 12 people line up in a row? 144 O 12 O 1212 479,001,600

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Q: QUESTION 11 Let G= be a cyclic group of order 8. Find all the distinct subgroups of G and list the e...

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Q: Define the following sets e and s as follows: e = {Devin, Elsa, Floyd}, s = {Software 1, Software 2,...

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Q: y Which of the following is the general solution to the differential equation 2 = 2 + ex? dy dx y e ...

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Q: 2. How many solutions are there to the equation X1 + x2 + x3 + x4 + x5 = 18 if a) Each x; is non-neg...

A: The given problem is to find the number of non negative integral solutions for the given equation an...

Q: A scientist mixes water (containing no salt) with a solution that contains  35%  salt. She wants to...

A: Solution :-