Instructions: • Write the GIVEN with their respective symbols and units. • Do not skip the SOLUTIONS, do it step-by-step with their respective symbols and units Problem: A car goes 14 kph faster than a truck and requires only 2 hours and 20 minutes less time to travel 300 km. Find the rate of the car. a. 40 kph b. 50 kph c. 60 kph d. 70 kph

Q: (1+x)-3=1-3x+6x2-10x3........ with ex= 1+x +x2/2 +x3/6............

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Q: 2. Angela gets paid a salary of P4,530.00 as a preschool teacher every week. Determine her: (a)…

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Q: If A is 3 x 3 matrix such that (A + I3)² = 0 %3D Show that: A is invertible.

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Q: (x – 2)² – In x = 0, [1,2]

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Q: Suppose a1, a2, a3, a4, and ag are vectors in R³, A = (a1 | a2 | a3 | a4 | a5), and [1 0 -5 5…

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Q: Three coins are tossed, what is the probability showing of no tail ?

A: Solution

Q: Q4) Find plane area inside the polar function r = 2 and outside polar function r = 2 sin 2 + 0) in…

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Q: Q1) Evaluate the integral S dy dx using polar coordinate

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Q: Q Use Newton method to find fis), f'9) 9. to fou 3. 10

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Q: A house is rented for $6,800 per quarter, with each quarter's rent payable in advance. If money is…

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Q: Q: find area inside r=2cose and outside r = 1? %3D

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Q: Q1) Evaluate the integral S S dy dx using polar coordinate

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Q: Suppose you are given the following two dimensional (2D) points. 3 3 1 7 10 15 6. 8 y 1 3 7 10 10 12…

A: a b c d e f g h x 3 3 1 7 10 15 6 8 y 1 5 3 7 10 10 12 11 Manhattan Distance…

Q: Q1/ Estimate f (1.72) from the given data using Newton's Backward Difference Formula: X 1.7 1.8 1.9…

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Q: 1- x dx 21 y =

A: We solve the given integral using Trigonometry substitutions method.

Q: Solve: (dy/dx)? + (y– 1– (x/y)) dy/dx – x/y(y-1) = 0

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Q: x+y Q3) Evaluate triple integral S S dz dy dx. x-y

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Q: Which of the following is the Taylor series expansion of the function f(x) =e-2 with center a 2n n!…

A: Given function is f(x) = e-x2

Q: R? R? 12- y? 12 + y? if (z, y) # (0,0) (r, y) + if (1, y) = (0,0) • The function f is it continuous…

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Q: Q2) Evaluate the following integral using Trigonometric Substitutions Method: dx 19x2 + 16 y

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Q: (c) Show that the sequence is eventually strictly increasing. 13 n=1

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Q: 1-4, apply the Jacobi method to the given system of In linear equations, using the initial…

A: As per our guidelines we are supposed to answer only one ques .  Ques 1 : 3x1 - x2 = 2 x1+4x2 = 5…

Q: Evaluate the following double integral over the region R by converting it to an iterated integral. e…

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Q: Q4) Find plane area inside polar function r = 2 and outside polar function r = -2sine in third…

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Q: = find area inside r=2cose and outside r 1?

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Q: If uxv=uxw, u 0 then Ou=v+ kw None of the choices O v= w+ ku O w=u+ kv

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Q: Q4) Find plane area inside the polar function r = 2sin E-0) and outside = sin (-0) in first quarter.

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Q: For the area under f(x) = x tan r2 on [0, ]. a). Calculate the left Riemann sums, use n = 6. b).…

A: Given fx=xtanx2, 0,π4

Q: Given: A = {1, 2, 3, 4, 5, 6}, B = {2, 4, 5, 6}, and C = {1, 6, 7}. Find: A U B = {1, 2, 3, 4, 5, 6,…

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Q: Suppose a1, a2, a3, a4, and ag are vectors in R³, A = (a1 | a2 | a3 | a4 | a5), and [1 0 -5 5…

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Q: 2

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Q: A class adviser surveys 35 of his students on the kind of pets they have at home. He found that 15…

A: We want to find number of students have none of given pets.

Q: Let B be the basis of R² consisting of the vectors and let C be the basis consisting of {B} Find a…

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Q: Q3) Evaluate triple integral f, S, ya(x² – y²)dz dx dy.

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Q: Scientists used mathematical models to predict the growth of world population, computer converted…

A: Given: There is data of world population.

Q: +xy = xj + TP Solue D. E %3D

A: Given differential equation is Bernoulli's differential equation.

Q: Three coins are tossed, what is the probability of the showing at least one tail? Your answer

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Q: Q4) Find plane area inside the polar function r = 2 and outside polar function r = 2 sin +0) in…

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Q: The approximation of xln(x + 3) dx using two points Gaussian quadrature formula is:

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Q: There are x pink straws, 10 yellow straws, and X + 2 green straws in a bag. A straw is selected at…

A: Probability of selecting m things out of n is  p=mn

Q: Q4/solve the equation by Newton -Raphson Method: F(x) = x* - 5x + 65 , start at x =2, accuracy…

A: Given f(x) = x4 - 5x3 + 65⇒ f'(x) = 4x3 - 15x2 x0 = 2

Q: Q3) Evaluate triple integral S S dz dy dx.

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Q: 1. Eliminate the arbitrary constants on the given equation: y=Ae^x+Bxe^x

A: Formation of the differential equation, by elemination of the arbitrary constants

Q: approximations are identic 1. 3x, - x = 2 + 4x, = 5 *

A: As per Bartleby guidelines we're supported to answer only first one question when two or more…

Q: Q1/ Estimate f (1.72) from the given data using Newton's Backward Difference Formula: 1.7 1.8 1.9…

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Q: Q4) Find plane area inside the polar function r = 2 and outside polar function r 2 sin (+0) in…

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Q: Question Completion Status: Moving to the next question prevents changes to this answer. Question 9…

A: Volume bounded by the xy-plane

Q: If $90,000 is invested in an annuity that earns 5.9% compounded quarterly, what payments will it…

A: Solution

Q: Which of the following sets are subspaces of R? OA. {(-2, y, z) | y, z arbitrary numbers } O B. {(x,…

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Q: Q1) Evaluate the integral Sdy dx using polar coordinate

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