1. Mr. Cruz borrowed P110,000 at 5% simple interest to pay as down payment for a house and lot. If he was able to pay 6 month, how much in all did he pay?

Q: find the fourier series for the half-Periof sine of the function fxj = sinx inthe period x Then find…

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Q: Which of the following functions ar

A: (i). Given,                 f(x)=xx2+1

Q: Which statement explains how you could use coordinate geometry to prove that quadrilateral ABCD is a…

A: A quadrilateral is said to be rectangle if the quadrilateral have pair of opposite sides are of same…

Q: An athlete whose event is the shot put releases a shot. When the shot whose path is shown by the…

A: Given- An athlete whose event is the shot put releases a shot. When the shot whose path is shown by…

Q: Solve the following exercises, you will need to show all your work to receive full credit. Consider…

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Q: Verify the Pythagorean Theorem for the vectors u and v. u = (1, -1), v = (1, 1) Are u and v…

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Q: 2.) Test the series for convergence or divergence. a0 sin(n+)* Hint: Use the Alternating series…

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Q: With the following system of equations 3 x+2 y 4.5 2 x+ 3 y-z 5 - y+2z -0.5, %3D set up the…

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Q: Solve the following exercises, you will need to show all your work to receive full credit. Consider…

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Q: Find the Laplace transform of the function (Half wave rectifier) sin wt for 0 <t < f (t) 2 TT for IT…

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Q: The diagram below shows a Figure on a coordinate plane.

A: Given figure:

Q: Re ( Which of the following function is harmonic in the C- {0}: cos . Re (- ez O Re(z²) cos . Im (-…

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Q: *Sketch all appropriate regions or solids.* Find the mass of the solid bounded by the planes x+z =…

A: Introduction: The formula of mass of the density function d(x,y) is given by, M=∫∫∫Dd(x,y)dV

Q: Use the graph of the polynomial function f(x) (a) to solve f(x)= 0, and (b) find the factorization…

A: Given, Polynomial function, f(x)=-0.5x3+2x2+2x-8 To find: a) Roots of f(x)               b)…

Q: 14. Find all 2<x<19999 such that x=-x(mod 20000) Ans:

A: To find all x where 2≤x≤19999 such that x2≡-xmod 20000.

Q: 2s? + 4s – 10 (d) F4(s) = %3D (s + 6)(s + 2)²

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Q: Consider the augmented matrix, 2 -3 An elementary row operation was performed leading to the…

A: We want to find performed operation

Q: Chelsea left the White House and traveled toward the capital at an average speed of 34 km/h. Jasmine…

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Q: Match the ellipsoids shown in the table with the equations. Answer Bank x2 + 2y2 + 2z² = 4 2x2 + 2y?…

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Q: Problem 4: Use Green's function to solve: y" - 4y'+ 3y e, y(0) = 1, y'(0) = 1.

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Q: The vertices of a qu

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Q: 1 2 ху S S xe^ dx dy 0 -1

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Q: 22. y dA, where S is the first quadrant polar rectangle in- side x? + y? = 4 and outside x+ y? = 1

A: Evaluation of the double integral by using polar coordinates

Q: Apply the Gram-Schmidt orthonormalzation process to transhirm the given basis for into an…

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Q: Consider the following. B = {(3, -2), (-1, 1)}, B' = {(-12, 0), (-4, 4)}, [x]g: = (a) Find the…

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Q: Q/ Solve the differential equeion tx²y)dy=2xydx

A: The Given differential equation is: (x2-y2)dy = 2xy dx Rearranging the differential equation:…

Q: et (t2 – 25)y' + ty t + 15 Find the largest interval on which the solution of the initial value…

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Q: Q1/ (Qti.) is sub field of (Rit,.) O (nFi) is a sub of f. © (UFi) ia suboff.

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Q: Answer and consider the plane with x-intercept = -3, y-intercept = 4 and z-intercept = 3 a. Sketch…

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Q: find a real root of the equation x-4x-9 0

A: Let f(x)=x3-4x-9 Substitute x=1,2,3 one by one in the function to obtain the corresponding values of…

Q: A combination lock on a suitcase has 4 wheels, each labeled with digits 1 to 6. How many 4- digit…

A: Here we want 4-digit combinations.  For each digit in the combination, we have 6 different choices…

Q: Let f be a function defined on ]0, 1[ by : 0, if x is irrational f (x) = {1/q, if x=p/q; where p and…

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Q: The owner of oak hill squirrel farm deposits $1000 at the end of each quarter into an account paying…

A: The owner of oak hill squirrel farm deposits $1000 at the end of each quarter into an account paying…

Q: Q4/ Revers the order of the following integral: y f(x,y)dx dy 6-y

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Q: Find the volume to the nearest whole number.

A: Given,

Q: Theorem 14. A family F of continuous functrons Wiu. space S is normal in the region 2 of the complex…

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Q: Using Laplace transforms, solve the differential equations (D+ 1) y, +(D - 1) y2 = e-! (D+ 2) y, +…

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Q: Find the centroid x, y, z of the region R cut out of the region 0 < z< 8/x² + y² by the cylinder x2…

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Q: L2 cos (0) + L, cos (a - 0) | y = y1+L2 sin (0) – L, sin (a – 0). Combining the above two equation.…

A: for cosα we have to find way to eliminate θ . For tanθ we can use ratio of x-x1 and y-y1 .

Q: Evaluate the integral (C (-2)sin(x² + y² ) dydx . Sketch the region R in the xy-plane. Jo

A: Evaluation of the double integral, by using conversion of polar coordinates

Q: The function f(x, y) = (x + y)* – 2² - y? - 6xy | has stationary points at some of the following…

A: We have to find the local maxima, minima and saddle point.

Q: 4. Numerical Integration Methods Calculate the approximations to ,f(x)dx when f(x) = x²In(x) using…

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Q: 21. ds: C is the quarter-circle r(t) = (2 cos t, 2 sin t), for 0SIST/2.

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Q: = sin 2 t, 2 n <t < 4 n and f (t) = 0 otherwise, in terms Represent f(t) of unit step function and…

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Q: Find the solution. у" - 2y'- 2у %3D 0 y = c,e2-v3)! +c,e A 31 В +c,e¬V3, (c) D

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Q: Quadrilateral TANG is inscribed in a circle. If mZN= 55° , find m2T.

A: Given :  Quadrilateral TANG is inscribed in a circle  with  m∠N = 55°. To find :  We have to find…

Q: Consider the general 2 × 2 linear system. ax + by = u сх + dy = V Assume that a unique solution…

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Q: b) Find the points on the curve 2 17x + 12xy + 8y“ = 100| that are farthest away from the origin…

A: Substitute x = rcosθ and y= rsinθ

Q: Test the convergene and divergence of the following series

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Q: Suppose that you were trying to use the Putzer method to exponentiate the matrix A which has…

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