Instruction: Use 7 decimal places. 1. Find the root of f(x) = sin^4 (x) + cos(x) using the NEWTON'S method with initial estimates [2, 2.5].

Q: b. Let x, y,p E Z, where p is prime. Prove that x2 - p²y - p + 0. (Hint: you may use without proof t...

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Q: b) Determine each hotel's apportionment using Adams' method. Hotel A B Total Number of rooms 238 197...

A: The complete solutions are given below  

Q: Problem 1.  Evaluate the following expressions:     (a) 8  (mod 3) =  (d) 22  (mod 11) =      ...

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: Prove the equality:

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Q: A small country is comprised of four states, A, B, C, and D. The population of each state is given i...

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Q: Find the simple interest. $6000

A: Given, $6000 at 8% for 9 months 

Q: Calculate the 35th term for this arithmetic sequence: 5, 9, 13, 17,..

A: Given, the arithmetic sequence is              5, 9, 13, 17, . . .      

Q: The function f(x,y) = e 2xy has an absolute maximum value and absolute minimum value subject to the ...

A: x

Q: Define the set A as A={-2<z<-1} or {|z|<1} or z=1 or z=2. Sketch A and find the set of all interior ...

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Q: Express the following in the form :+ ib. (a) log(e³-i) (b) (1 – i)3+i

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Q: The Differentiation to be made must be based on the following topics. - Quotient Rule Give 3 example...

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Q: How many times do you to multiply 4 by itself to obtain 64

A: We have to find the number of times multiply 4 by itself to obtain 64. Since, 64=4×4×4 Hence, if we ...

Q: 3. Express the general solution in terms of Bessel functions: x?y" + 4xy + (æ² + 2)y = 0

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Q: 1. Determine if the following functions are continuous on the interval I. (a) f(x) =1 – 1; I = [-2,2...

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Q: {(a, b) acb, a and b are finite set of integers}

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Q: Let A = {1,2,3,4, 5, 6} and let R be an equivalence relation on A. Suppose that 1R2, 3R5 and 6R3. Al...

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Q: Complete the membership table to show that for all sets A, B: B = (ĀU B) – B A B 11 1 0 0 1

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Q: f(t) = u(t)+ (sint- 1) u(t- -))-(sint + 1). 미t +u(t – 27) %3D

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Q: swer. al acoor. amuloa i 00 1o0 al tortw Example: What percent of the total number of fruits are the...

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If yo...

Q: Find equation of plane normal to line = = and pass through line x = y = z.

A: The equation of a plane passing through the point: x0, y0, z0 is defined as ax-x0+by-y0+cz-z0=0, whe...

Q: x-1 y+1 1-z Find equation of plane normal to line 3 == and pass through line x = y = z.

A: The symmetrical form a line that passes through the point: x0, y0, z0 can be represented as x-x0a=y-...

Q: Find the in tervals onu are? (H [ncreassing and dec iU concareup and cancave and the X- coor dinate ...

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Q: n+1 Si. 2' = n · 2"n+2 + 2 n· 2n+2 i=1

A: This is a problem of MathematicalInduction, logic, finite math.

Q: Required information NOTE This is a multi-part question Once an answer is submitted, you will be una...

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Q: Find the compound amount for the deposit and the amount of interest earned. $440 at 4.3% compounded ...

A: $440 deposited for 13 years at the interest rate of 4.3% compounded semiannually .

Q: A small country with a population of 5,600,000 consists of four states, A, B, C, and D. There are 14...

A: Given : A small country with a population of 5,600,000 consists of four states, A, B, C, and D. Ther...

Q: (b) Find L[f(t)]. Slope of the lines, m, are shown in the graph. m = 0 1 m т — 0 10 2 4 m = -1 -5 .....

A: We have to find the Laplace transformation of f(t).

Q: 14 (Type an integer or decimal rounded to the nearest hundredth as needed.) b) Determine each resort...

A: The complete solution is in below  

Q: Q2) Solve the following linear system equations by matrix: 3x + 4y = 2,8y +z 1 and 6x - 5z 7.

A: 2 Given system of linear equations are 3x+4y=28y+z=16x−5z=7.....1 Now, write the system of equations...

Q: Let T : R? → R² be a linear transformation. Consider two bases B and D of the vector space R?, [:] -...

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Q: 10. Given vectors ū =[-3,2,–6]and v = [5,0,8], find a) a vector on the x-z plane, and perpendicular ...

A: As per our guidelines I solved first three subparts so kindly request you to repost the remaining qu...

Q: iii) modulus of complex z = cos20 %3D ÷-(cos0)² + i equal to | a. V3 b.3 c. V2 d. 2 а. С.

A: Note:-  cos2ϕ =2cos2ϕ -1   Given complex number is z= cos2θ2 +32 -cosθ2 +i   

Q: By using Naïve Gauss Elimination. 2х + у — z %3D6 х — 2у + z %3 -3 Зх + 2у — 2z %3D 12

A: Write the given system of equations as 2x+y-z=6x-2y+z=-33x+2y-2z=12 It can be written as 21-11-2132-...

Q: Define f(z)=Arg(z+1). Find all points of continuity. For a point of discontinuity, determine if it i...

A: We know that z=x+iy where x and y real and imaginary part of the complex number.   

Q: Calculate the simple interest rate when P=$3,600, I=$160 and t=4 months. Round to the nearest hundre...

A: The simple interest, I is calculated using the formula: I=Prt, where P is the principal amount, r is...

Q: (1) If you have been hired at an annual salary of $23,000 and expect to receive annual increases of ...

A: The solution of 1 is in given below

Q: Use the given graph of the function f to find the following values for

A: Since you have asked a question with multiple subparts, we will solve the first three subparts for y...

Q: 4. Assume y(x) = eaªcosBx is one of the solutions of the DE y(3) – 3y" + 7y' – 5y = 0. - - Then a + ...

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Q: a) Determine each state's modified quota using the divisor 50,700. State A B D Total Population 1,24...

A: The complete solution is in given below

Q: -1 5. Let v1 2 3 1 (a) Show that the set B= {ū1, 02, 03} is a basis for R³. (b) With B as in (a), fi...

A: The given question is related with vector space. Given that,                v1→ = 123 , v2→ = -121 a...

Q: 1. SOLVE THE GIVEN SYSTEM OF LINEAR EQUATIONS BY GAUSS ELIMINATION. 9a - 26l + 33m - 49s = 89 13a ...

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Q: Use polar coordinates to calculate the volume of a sphere of radius R.

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Q: Finding the second derivative of the given vector function r(t) = 3t 4 1- 31 2 + 4t k.

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Q: A resort plans to apportion 49 new toboggans among the four resorts based on the number of rooms in ...

A: We will round standard quota to get required allocation of toboggans

Q: Consider the two points P(0,5, 5) and Q(1,2,8) and the vector -1 v = -3 -1 You are given that PQ = -...

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Q: 3 5 dx using 8 intervals the trapezoidal rule Evaluate:

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Q: y"-5y'+6y=e'; y(0) = 1, y' (0) = 1

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Q: 1. Let x be Russell's age now. Represent his age ten years in the future.

A: Since you have asked multiple question, we will solve the first question for you. If you want any sp...

Q: A small country with a population of 5,600,000 consists of four states, A, B, C, and D. There are 14...

A: To estimate the quota, use the following formula. Standard Quota=State PopulationStandard DivisorMod...

Q: rotating the given region about the specified line. yA 19-30 Refer to the figure and find the volume...

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