P1,420 is invested in an account which earns 8% interest compounded annually, which will be the balance of the account at the end of 17 years?     P5,458.84     P5,507.68     P5,387.93     P5,254.03

Q: the points of intersection. 1 y = -- -(х — 1)(х — 9) 10 ТУ 81 6- 4- 2

A: 1. The given equation is y=-12x-1x-9 the graph of the equation is as follows the point of intersect...

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A: We know that in a right triangle  cos(θ) = base hypotenuse

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A: Given vector is: V=1bc1 b, c∈RThe addition and scalar multiplication are defined as:-1bc1+1ef1=1b+ec...

Q: Q1: For the matrix given below, find all the eigenvalues then choose two of them to find their corre...

A: Given matrix is A=133-3-5133-1 Let the eigenvalue be λ. Then characteristics equation is A-λI=01-λ33...

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Q: Hello my dear tutor, Please help me answer this one. Show your solutions or answers. Type only your ...

A: We will construct a linear programming problem according to the given conditions and solve it using ...

Q: plete the following tables of values to investigate below or at th un 0.6 07 0.05 0.995 0.9995 0.999...

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Q: Complete the following table to construct the truth table of the logical expression Show your answer...

A: Given: ¬r∧q∨¬q∨¬p To construct: Truth table of given logical expression.

Q: 1. Find the general solution of each of the following differential equations. If an initial conditio...

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Q: 5 If g(1) = 4, g(5) = -7, and | g(x) dx = -8, evaluate the integral ag (x) dr. Answer:

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Q: Lemma : The set of all automorphism of K from a group under composition of mappings.

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Q: 1) Let X= {a, b, c} List the open sets in the following topologies on X: (i) The discrete topology; ...

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Q: 6. Find the area of a quadrilateral having sides AB = 10 cm, BC = 5 cm, CD = 14.14 cm and %3D DA = 1...

A: Introduction: The area of a quadrilateral is the place that is occupied by the quadrilateral. Suppos...

Q: Plot the point: (r,theta) = (-6,-20) The angle is given in degrees.

A: To plot the point r,θ=−6,−20 on the plane.

Q: a1/ Find c; and ey so that ytx) = c; sin x +cz cos x will satisfy the given conditions. Determine wh...

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

Q: cos(kr)e¬lz dx, Hint: consider cases for k and I.

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Q: What is 100+60 plesse

A: Addition of integers with positive signs gives a positive integer.

Q: 17. The area of the surface obtained by rotating the curve y = v = v16 – x², -1 <x< 1, about the x- ...

A: Area of the surface obtained by rotating the curve about the x-axis= S=2π∫aby1+(y')2dx =2π∫-1116-x21...

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Q: Find f(1). S(2). S(3), and f (4) if S(n) is defined recur- sively by f(0) = 1 and for n-0, 1, 2, . a...

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

Q: using beta function integration Show that: 1 dx = bu xu-1 В (и, т — и + 1) (1 + bx)m+1 By making the...

A: Introduction: The Beta function is one of the most important improper integrals. It is defined as Bm...

Q: 2. Show that the AR(3) process Y, = Bo + B,Y,-1 + B,Y,-2 + B3Y,-3 + &, %3D can be written as AY, = B...

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Q: 4. Let A be a square matrix. (a) 1² is an eigenvalue of A² with the same eigenvector, v. Show that i...

A: we are given that λ is an eigenvalue of Aand correspoinding eigenvector is v,we have to show that λ2...

Q: • In Exercise 1 you showed that the polynomial r³ – 4x + 2 has a zero in R. This result can be gener...

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Q: Q1:Find the limit using L Hopital rule In (csc x) lim xT/2 (x – (1/2))²

A: Given limx→π2ln(cscx)(x-π/2)2 We have to find limit by using L Hospital rule L'Hospital's Rule Suppo...

Q: If P(n, 4) = 5P(n, 3) then n = %3D Select one:

A: Given we have P(n, 4) = 5P(n, 3) we have to find the value of n we know that P(n, a) = n!(n-a)! usin...

Q: 3. Note : m=0 a. Graph the following function: f (k) + 4 = 3-2x-m + 8 c. Expand logarithmic expressi...

A: Given: function f(x)+4=3-2x-m+8 m=0 f(x)+4=3-2x+0+8 ⇒f(x)=3-2x+8-4 ⇒f(x)=3-2x+4

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Q: Maclaurin series for f(x) = e¯3, or the series. Show your work. te e¯§ to five terms. What is the ur...

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Q: 2 4 X' = -1 6/

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Q: -3 57 [1 3 8 24 11 and B = Compute A-B without computing A-. 6. Let A = 15 25 3 Explain and justify ...

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Q: For the following Venn diagram, determine the set Bnc. k 10 a 4 11 9 A 15 d 7. 14 6. B. 8 1 12 13 3 ...

A: The intersection of A and B is the set of all those elements which belong to both A and B.  A ∩ B =...

Q: The open Newton-Cotes quadrature rules use equally spaced points that do not include the endpoints. ...

A: We will use basic knowledge of numerical analysis and quadrature formula to answer this question.

Q: 2) Find d x 一+9x?

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Q: M= i ! kN-m R = ( i i+ i j) kN

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Q: P4.3 If the 4th term of a geometric progression is 72 and the 9th term is 2304, then find the 12th t...

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Q: Solve y(H) a) Y (6) = y (4) = ? %3D b) y"-y' • 24 ylo)=1;y'(0)=-2 %3D

A: We have to find the solution y(t) from the following  a) y(s)=1s2(s2+1) b) y''-y'=2t, y(0)=1, y'(0)=...

Q: Least residue of 45^37 mod 19 when using Fermats Little Theorem

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Q: Let A = {1, 2, 3, 4} Let R be defined on A x A where a Ry if æ > y . a) Draw a mapping diagram of R ...

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Q: x°dy + xydx = x²dy + 2ydx; y = e when x = 2 %3D

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Q: 1. The maximum and the minimum values of the function f(r, y, z) = r + 2y + 2z subject to the constr...

A:    Here f = x +2y +2z …(1)and g= x2 + y2 + z2 - 9  …(2)from (1)∂f∂x = 1,  ∂f∂y = 2,  ∂f∂z = 2, from ...

Q: Note: F=9 K=1 F+9 2x-(4+F) 4. Let f(x) = h(x) = Vx + (k +3 + F) and g(x) . Answer V8x -(F+5) 8+K the...

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Q: 4 1 3 0 6. Let A = -1 2 0 4 1 2 (a) calculate determinants.) Find the characteristic polynomial of A...

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Q: Note: m=2 Weight: 1.15 kg Give the weight of your laptop in gram. What is its weight in ton? Give yo...

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Q: One solution of the given differential equation is given. Use the reduction of order formula to find...

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Q: f(x)

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Q: Q3: Find the Wronskian for the following solutions. Y, = 1, Y =In

A: Wronskian= 112ln1+x1-xd1dxddx12ln1+x1-x= 112ln1+x1-x01x+11-x=1x+11-x

Q: convert to polar form: 3.6 x 10^-6 cos(754t-20°)

A: