Find the term of the following ordinary general annuity State your answer in years and months (from 0 to 11 months). Present Value $8700 Interest Rate Compounding Period 11% annually Periodic Payment $345 Payment Interval month. The term of the annuity is year(s) and month(s)

Q: IK, ar U₁ = 2 vecte U2 = U1, U2, U3 3a + 3 2a +3 a²+3a 7 113 = 4a - 2 3а-1 2a² a) Show that the rank…

A: Introduction: To find the rank of matrix put the matrix into row echelon form and decide the rank…

Q: 1. Given the equation dx = f(x, y), in which f(x, y) is a function of two variables defined on a…

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Q: (b) where n 22. (2) - 1 = 2(n-2) + + (²₂²)

A: Introduction:   The NCR formula is a combination and rearrangement formula in which the order of the…

Q: 1. Use the method of variation of parameters to obtain general solutions of the following ODES. (b)…

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Q: (3) (x² − 1) dy + 2y = (x+1)² dx HINT: rewrite in the form y'+ai(x)y=r(x) find p =…

A: We are given the equation          (x2 - 1)dy/dx + 2y = (x + 1)2 . . . . . . . . (1)       =>…

Q: 3) Evaluate the infinite limits. x+1 a) lim x→1+xsin x 1 b) lim x→3− (x−3)5

A: We have to find infinity limit for the given function. Concept : If limit value of x is LHL then it…

Q: Find an LU-factorization of the matrix.

A: The given matrix is  A=301611-310 We have to find LU factorization.

Q: In Z[x], the ring of polynomials with integer coefficients, let I = {f(x) E Z[x] |f(0) = 0}. Prove…

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Q: Using the modified secant method for optimization, complete one iteration to approximate an extrema…

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Q: Evaluate the limit: 7 lim t->0 t√49 +t -})= help (limits)

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Q: Initially a tank contains 10 liters of pure water. Brine of unknown (but constant) concentration of…

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Q: lim h→0 √7(a+h)-√7a h

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Q: Prove: 1. There exists an integer n, so that n³ - n is odd. 2. For all a, b E Z†, if a > 1 and b >…

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Q: Samantha owns 6 different mathematics books and 6 different computer science books and wish to fill…

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Q: for the system of inequalities. 3x  −  4y   ≤   12 5x  +  6y   ≤   30     x ≥ 0     y ≥ 0…

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Q: 4. Find the inverse of the following functions f(x) = log2 (x-3)-5.

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Q: Consider the function below. f(x) = (1 - 1)* (a) Use a graph to estimate the value of the limit of…

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Q: 2. State Picard's theorem and hence using its iteration scheme, find yn (x) for n=0 for y'= x - y,…

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Q: a) Find the General Solution to the Linear System of differential equations given by 8 10 -(-$₂")*…

A: The given Linear system of differential equation is Y't=-810-57Y. We have to find the general…

Q: c. Sketch the traces of f(x, y) = 6-2-y² for y = yo = 1 and x = 0 = below in Figure 10.4.1. 5.0

A: Given that the function is               f(x, y)=6-x22-y2 ; y=y0=1, and x=x0=1.

Q: 1. Evaluate the integral using integration by parts with the indicated choices of u and dv: a. [x ex…

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Q: Find a formula for the inverse of the function g(x) Answer: g ¹(x) = = e² 3+ 4e**

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Q: Izan and Meng plan to send their daughter to university. To pay for this they will contribute equal…

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Q: Use elementary row operations to transform the augmented coefficient matrix to echelon form. Then…

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Q: r the following piecewise-defined function. f(x)= {(5x+3, if x<=0), (9, if 01):) (a) Calculate…

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Q: Find(a) the characteristic equation of A,(b) the eigenvalues of A, and (c) a basis for the…

A: The given matrix is A=201034001 We have to find  (a) The characteristic equation of A (b) The…

Q: Determine if the following sets are bases for the indicated vector space. Hint: If you know the…

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Q: [3.28] Consider the following problem: + 2x2 Maximize -3x₁ subject to 2x1 3x2 + 2x2 + -X1 -X1 X1, -…

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Q: Compute S10, S80, and S700 for the series 4 4 4 + + 4 3 5 7 Do you think that this series has a sum?…

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Q: 33. Use the vectors u = = (U₁,..., Un), v = (U₁..... Un), and W = = (w₁,..., wn) to verify the…

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Q: Q2) Find the rate of convergence of the sequence an = sin (1) → 0 as n →∞0.

A: Given sequence is αn = sin 1n2    and      limn→∞ sin 1n2 = 0                        ⇒  The sequence…

Q: Is there a solution of initial value problem: (1 + y² = x²)y' = ₁ y(1) = 12

A: The given initial value problem (1+y2-x2)y'=1x with y(1)=1 To check the IVP has unique solution or…

Q: Solve for the vector x in terms of the vectors a and b. (If needed, use BOLD vector form on calcPad…

A: Vector is defined as a phenomenon or quantity that has the property of both magnitude and direction.…

Q: The tuition at a public university was $21,000 in 2008. Between 2008 and 2010, the tuition had…

A: Given that the tuition at a public university was $21,000 in 2008. Between 2008 and 2010, the…

Q: How many ways can 4 CD's be chosen from a case of 10 CDs?

A: Here we have to find no of ways of choosing 4 CD's from a case of 10 CD's.

Q: 3. Estimate the area of the finite region between f(x) = − x and g(x) = by summing 8 the areas of n…

A: Solution:   To estimate the area between two functions, we can use the method of inscribed…

Q: Show that Zmn is ring-isomorphic to Zm ⨁ Zn when m and n are relativelyprime

A: Given: Zmn and Zm⊕Zn. To show:Zmn is ring-homomorphic to Zm⊕Zn when m and n are relatively prime.

Q: Find the vectors T, N, and B at the given point. 16 (t) = (2, 룰,t), (4,-1, -2) T= N = B = 481 9'9'9…

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Q: #8: Consider the following matrices. --3--03] Problem #8: Find an elementary matrix E such that EA =…

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Q: 3. Sketch the parallelogram spanned by (2, 1, 0) and (-3, 1, 0) in the xy plane and find its area.

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Q: For the function, find the partials f(x, y) and f(x, y) f(x, y) = (6x² + 4xy + 9)4 (a) fx(x, y) (b)…

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Q: (2) Write the negation of each of the following sentences. (a) The integer n satisfies n > 3. (b)…

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Q: Problem A: Jenny's father deposited P 36,000 at the end of each yea for 5 years in her savings…

A: As per the guidelines I am answering only one question at a time. We know future value of ordinary…

Q: Use elementary row operations to transform the augmented coefficient matrix to echelon form. Then…

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Q: 1. Use Theorem 1 to solve the nonhomogeneous linear system *= B −1]×+(1) with the initial condition…

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Q: 2. Find an equation for the line through the point P(1, 0, -3) and perpendicular to the xy-plane.

A: (2) To obtain the line equation passing through the point  P 1, 0, -3  and perpendicular to XY -…

Q: Problem 1. Use the Fourier series for the function whose definition is f(x)=x² for -1<x<1, f(x+2) =…

A: Given  fx = x2   for   -1 &lt; x &lt; 1                  since fx = x2 is an even function so the…

Q: Find the general solution of equation y' = 3y + x + 1

A: The given differential equation is y'=3y+x+1. We have to find the general solution of the given…

Q: (x+h)³ - x³ h (Your answer will be a mathematical expression in x.) lim h 0

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Q: the problem I'm looking at, they want the area between the curves y=(2x+16)/3, y=-2x+8, and y=x2.…

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