1. What is the maturity value of a Php 40,000 loan after 3 years if the rate of interest is 6% per annum?

Q: 3. Verify by differentiation that the function provided solves the differential equation. a y' = 2y…

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Q: In Exercises 1 and 2, compute u + v and u – 2v. 1. u= - In E the g 9.

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Q: -77=-7(3m-7)+7(7m+6) write this as an word problem.

A: Negative of seven=-7  Seven subtracted from three times of m             = 3m -7  Six addition with…

Q: Prove that these two E E cos (Tin) não Inn 2 are تم 22=1 convergent (-1) h 22²41

A: A series is defined as the combination of the sequence. A series is said to be convergent when n…

Q: Find the eigenvalues and the associated eigenvectors of the matrix A = -4 -2 4 1 425

A: We will 1st find eigen values of the matrix using  A-λI=0 Where λ is eigen value for A  Then need to…

Q: Let F = Z₂ and let f(x) = x³ + x + 1 € F[x]. (1) Show that f is irreducible over F. Use the…

A: note : Since you have posted question with multiple sub parts, we will provide the solution only to…

Q: The function is given: y=-2x³ - 4x +9 Find all derivatives up to zero: y=x"; y'=x²-1

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Q: C = C₁ ( √ ( 1² + 54²2)) + C₂ (√(K-150)² +54²)) 6

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Q: (a). Evaluate ff F-n dS, where F(x, y, z) = (2x − z, x²y, −xz²), and S is the surface of the cube…

A: The given vector field is Fx, y, z=2x-z, x2y, -xz2, where S is the surface of the cube. To evaluate…

Q: Find two unit vectors orthogonal to Enter your answer so the first vector has a positive first…

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Q: Let R = {(a, a),(a, b), (b, b),(a, c), (c, c)} be a partial order relation on Σ= {a,b,c}. Let ≤ be…

A: (e) abbac <= abb is the only true statement. explaination:- ???

Q: The figure below shows four named points A, B, C, and D on a grid generated by two vectors V₁, R². A

A: Answer given below.

Q: Consider the solid bounded by the planes x = 0, y = 0, and x + y = 2 along with z = 4 - 2². (a)…

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Q: (i) Let E₁ denote the 4 x 4 elementary matrix which corresponds to the elementary row operation R₂…

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Q: Please correctly, handwritten and in detail

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Q: Exercises 15 and 16 use the notation of Example 1 for matrices in echelon form. Suppose each matrix…

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Q: In Exercises 7-12, describe all solutions of Ax vector form, where 4 is row equivalent to the g 3 -3…

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

Q: Find the elementary row operation that transforms the first matrix into the second, and then find…

A: 1-3304-33-504-271-33009-9-504-27

Q: Hasnt given me an answer for K or W?

A: the given differential equation is  2y''- 28y'+170y=0   ⇒{ 2D2-28D+170}y=0  so put D=m and y=1  for…

Q: maths help can you do e) please

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Q: 11m b) Use a compound angle formula to determine an exact value of sin 17.

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Q: Radium (Ra-225) has a half-life of 15 days. For a 100 g sample, the amount of radioactive material…

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Q: 18 If A = İ II. iii. 1 2 -1 0 4-2 HE 1 find: 7 the dimensions of the row space of A column space of…

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Q: 24. Consider the quadratic form Q(x) = -x² - 2y² - z² + 2xy - 2yz a) Find a symmetric matrix A such…

A: As you asked more than 3 sub parts , so I solve first three sub part , please  repost the remaining…

Q: 3. A. us) The general solution of y" + 5y' - 6y=0 is. B. y cie-6 + c₂e A. y cie + c₂e6 C. y =…

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Q: In (Z13, +mod 13, mod 13 ), the multiplicative inverse of 7 is 3. Select one: O True O False

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Q: Let T: R³ R³ be a linear transformation such that T(1, 0, 0) = (4, 2, -1), 7(0, 1, 0) = (-2, 3, 1),…

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Q: 1. Given the following table of values, approximate the indicated partial derivatives. ƒ (3, 4) = 6…

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Q: Use the Gershgorin Circle Theorem to show that a strictly diagonally dominant matrix must be…

A: Given: A dominant matrix. To Show: A Dominant matrix must be nonsingular. Geshgorin Circle Theorem:…

Q: (B): In the module Z₁8 as Z-module: 1- Write all submodules of Z18. 2- Find all direct summands of…

A: The given module is ℤ18 as ℤ module.   A nonempty subset N of a R-module M then N is a submodule of…

Q: 5. (x-1)² y² 36 9 1 center: vertices: co-vertices: foci:

A: The given equation of the ellipse is x-1236+y29=1. We have to graph the ellipse.

Q: Question 6. Prove that for all z E C, we have |z| ≤ Re(z)| + |Im(2)| ≤ √2|2|. It is usually easier…

A: Given: z∈ℂ. We have to prove that: z≤Rez+Imz≤2z.

Q: The domain of the function' f(x)=√ is Select one: O a. (1,00) O b. (-∞0,1) O c. (0,00) O d. 0,1 Oe.…

A: Domain of the function

Q: Express numbers in exact form. Use symbolic notation and fractions where needed.) Jul =

A: From the dot product of two vectors  u.v=uvcosθucosθ=u.vv which is the projection of vector 'u'…

Q: Suppose the mean percentage in Algebra 2B is 70% and the standard deviation is 8%. What percentage…

A: The answer provided below has been developed in a clear step by step manner.

Q: X y 0.4 0.6 0.8 0.423 0.684 1.030 1 1.557

A: Given

Q: A cylinder is inscribed in a cone as shown in the figure. The radius of the cone is 3 inches and the…

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Q: Let F = Z₂ and let f(x) = x³ + x + 1 € F[x]. Suppose thataisa zero of f(x) in some extension of F.…

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Q: dy 2. Consider the Differential Equation (DE) =-1-2y. dt a. Sketch (ie, draw by hand) a direction…

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Q: Question 2 AC input supply Suppose you are measuring the output at the load of an ideal full-wave…

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Q: 18. A normal line to a curve passes through a point P on the curve perpendicular to the line tangent…

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Q: 2. Which of these graphs is NOT a function? Output 9 8 7 6 5 4 32 andino 1 10 0 0 1 2 3 4 5 6 7 8 9…

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Q: Q1/(A): Let A₁ = Z4 and A₂ = Z4 as Z-module. Find: 1- M = A₁ A₂. 3- All direct summand of M. 2- All…

A: Since you have posted a question with multiple sub-parts, we will solve the first three subparts for…

Q: 7. Show that the following sets are countable; a. The set of circles in the complex plane having…

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Q: X y -3 52 1 0 0 1 - 1 -2 -2 3

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Q: Let F = Z₂ and let f(x) = x³ + x + 1 € F[x]. Suppose thataisa zero of f(x) in some extension of F.…

A: The given field is F=ℤ2 and the given polynomial is fx=x3+x+1∈Fx. (1) We know that a polynomial…

Q: 13. (e :) Find the recurrence relation for the power series solution of y" + 16y=0

A: Solution - 13 :Given that the differential equation y''+16y=0

Q: 3) The solution of, y(1) - 1 is. B. y²=²+1 A. r² = y² +1 C. y² = 2x² +1 D. ²-²=0.

A: Given: The differential equation dydx=xy , y1=1. To Find: Solution of the given differential…

Q: 1. Graph the following function on the board: f(x) = - 0 1+x 1-x 0 -∞<x<-1 -1<x<0 0≤x<+1 +1<x<+∞o

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: 5. (-. A. B. y = C₁x + c₂xln(x) 3) The radius of convergence of 1 (-1)*(-4)* B. 0 C. 00 C₁x + ₂x² y=…

A: Here you asked for question number 5 only . So here it is