The subset {p(x)|p(1) = 2p(0)} in the space P of all polynomials.

Q: What is the general solution to the differential equation (3x+2y+4)dx+(3x+2y-3)dy=0?

A: An equation which involves the derivative or differential coefficient is called differential equatio...

Q: -3у(х) +4y,(х)-у,(х)+ 2у,(х)+ бх — 3- 4sin(x) 3D0 2y{(х) — Зу; (х) —у, (х) — 4х +2+3sin(x) — 0 |

A: First, determine the normal form of the system of linear equations and then deduce homogenous form f...

Q: 7. What is the general form of the solutions of a linear homogeneous recurrence relation if its char...

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Q: 1.3 Find all solutions of z E C of the equation i(: + 2i) = -81 and hence show via the sketch all th...

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Q: With t>0 d'u d'u du +2. dt = 312 - 2e dt dt? with a linear differential equation of the form u(0) = ...

A: We will find out the required solution.

Q: Verify that the function is a solution of a DE. Show your solution. Solution Differential Equation y...

A: As per our guidelines, we are supposed to solve only first three parts. Kindly repost other question...

Q: In the sequence: 12,14,16,18,...., find the following: a. 7th term b. 13th term c. 26th term d. S10 ...

A: For an arithmetic sequence, the sum of first n-terms, Sn is calculated using the formula: Sn=n22a+(n...

Q: Use graphical approximation techniques to answer the question. When would an ordinary annuity consis...

A: Future value of annuity: The formula to find the future value of annuity is given by, FV=A1+rn-1r, w...

Q: Find the length of the curve r(t) = i + 6t°j + t'k, 0 <t< V48 L =

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Q: After taking a nutrition class, a big Annie's® Mac and Cheese fan decides to improve the levels of p...

A: Let x be the amount of Mac and Cheese, y be the amount of Broccoli and z be the amount of chicken. T...

Q: 1. Based on the data shown below, calculate the regression line (each value to at least two decimal ...

A: According to our company guidelines if multiple questions are posted then I must do only one questio...

Q: Suppose you want to get a license plate. The license plate has to have 3 letters without repetition,...

A: The number of ways to obtain the r object out of n object is given by the formula nCr=n!r!n-r!. The ...

Q: Question 3. Are the following equalities of subspaces in P3 true or false? Justify your answer. (1) ...

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Q: 2х 2х c) Sab3 dx = %3D

A: Integration by Substitution: The given integral ∫fxdx can be transformed into another form by changi...

Q: The function r(z) = (43 – 0.01z)z represents the revenue of a phone company (in thousands of dollars...

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Q: 1. Describe and sketch the curve in the complex plane given by 2|z| = |z-2| Also write your final eq...

A: We have to Describe and sketch the curve in the complex plane given by2|z| = |z-2|Also write your fi...

Q: 2. The probability in minutes of being waited on in a large chain restaurant is given by the frequen...

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Q: Q1 Find the absolute and relative errors of w-x-y, where x-cos33 chopping, y-sin33 ) لثلاث مراتب بعد...

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Q: Let the domain be the set of all people. Let I (x, y): "x is inspired by y". Match each of the follo...

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Q: Renting a car costs $40per day or $750 per month. Renting daily is cheaper for a few days, but after...

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Q: Subtract: 1100,hree – 1022,hree O 1three

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Q: Let z, w E C. Show that |z + w[? + |z – w|? = 2(\z|² + |w|?).

A: Any complex number, Z can be represented as Z=x+iy, where x=Re(Z) , y=Im(Z) . The expression, Z can ...

Q: In the state lottery, there are 45 numbered balls in a cage. Each of the balls has one number from 1...

A: In this question, we have given a cage which contains 45 balls with numbers 1 to  45. each ball has ...

Q: Using the definitions: sin(z) = (e^iz - e^-iz)/ zi  and cos(z) = (e^iz + e^-iz)/z Prove that  sin (...

A: Using the definitions: sin(z) = (eiz - e-iz)/ 2i  and cos(z) = (eiz + e-iz )/2 We need to prove that...

Q: Solve for the area common with r= 2+5cos(2θ) and r=5sin(θ)

A: Double integral is used to integrate the function of two variable over two-dimensional region. Doubl...

Q: solve parts (a) , (b), (c) and (g) please

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Q: With t>0 d'u du +2. dt? dt d'u = 31 – 2e dt with a linear differential equation of the form u(0) = u...

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Q: Find the arclength of the curve r(t) = (4t², 2v4 t, In t) , for 1<t< 5. L =

A: We have to solve given problem:

Q: Theorem 12.If k, o are even and 1 is odd positive integers, then Eq. (1) has prime period two soluti...

A: The equation given to us is as follows: xn+1=Axn+Bxn-k+Cxn-l+Dxn-σ+bxn-kdxn-k-exn-l....................

Q: Do the equations x2 + ys + yt? = 13 and y? + x²s + xt2 = 9 define s and t as functions of x and y ne...

A: We will find out the required value.

Q: Evaluate ( ( z av , where R is the region x² + y² + z² s 4, * sz?s 3(x? + y³), z 2 0. (Hint: Use sph...

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Q: 1.5 Factorize the expression (5 - i)2 - (3 - 2i)z +eri

A: Factorization of a number or a polynomial is the process of writing the given number as the product ...

Q: Calculate k(t) when r(t) = (1t1,2, 3t) K(t) =

A: This problem is solved in next step.

Q: fond solu tion of Bernoullidifferential equation %3D

A: Given y'+2xy=-xy4

Q: Use Polya's Steps in Problem Solving in finding the answer to the following problem: 1. Determine t...

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Q: Let S and T be two sets. Let f be a map from S to T. Show that f is a bijection if and only if there...

A: A function is a bijection if it is both one-one and onto. That is, the function must be both injecti...

Q: 40 10 -5 Let A = 26 B = 7 and C = -3 -34 -7 Are A,B and C linearly dependent, or are they linearly i...

A: We have A=4026-34, B=107-7, C=-5-35 Now, three vectors are said to be linearly dependent if their de...

Q: 18 as a linear combination of a and y Express the vector v y.

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Q: A mirror should be centered on a wall. The mirror is 36 inches wide and the wall is 18 feet wide. Wh...

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Q: Use the set definitions A = {a, b} and B = {b, c} to express the elements in the powerset P(A) ∩ P(B...

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Q: Rayner plans to make a circular garden pond. She has bought 10 metres of edging to place around the ...

A: First by using the given information we will find the length of edging required to place around the ...

Q: Find the speed at the given value of t: r(t)= (et 3,-1,3t 1),t = 3 v(3) =

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Q: 6. Which of the following is not binary operation? Union Project Set differences Cartesian product

A: Let A≠∅. Then a binary operation ∘on the set A is such that ∘:A×A→A define by ∘(a,b)=a∘b.That is, fo...

Q: al's supply sold a chain saw to mark's lumber. the list price was $1,250. al's supply offered a chai...

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Q: Assume that in one of the classes the student has earned test scores of 76, 83, 51, 74, and only one...

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Q: Name at least one environmental problem and prepare a procedure on how to solve such problem then re...

A: Air pollution to solve many recommend solution.. Replaced petrol fuels vehicles by electric vehicles...

Q: x = 4 + 2y - y2, x + 2y = 4, x+ y = 0

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Q: 225g If p = f(q) = then what is the marginal revenue for q = 31? q+4

A: The marginal revenue can be calculated by the derivative of the total revenue with respect to quanti...

Q: (d) Let f be holomorphic in the disc DR(0) centred at 0. If lim f(m) (0) = 0 then show that there ex...

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Q: B. Applications from physics 3. Suppose a given spherical raindrop evaporates at the rate dV = -2V2/...

A: We are entitled to solve only one question at a time and up to 3 sub-parts only. Please post another...