PAPER 1 pigti p Vans P°q°r°, find the value of each of the integers a, b and c. N2016 4 Given that

Q: Find the domain of the following functions. (Show all algebra) f(x) = log,(x² – 49)

A:

Q: IFFERENTIAL EQUATION plve using variation of parameters p² + 1)y = tan?x

A: Variation parameter method

Q: Use properties of logarithms to expand the logarithmic expressions (No decimal answers). log,(z/xy)

A: To use properties of logarithmic functions to expand the given logarithmic expressions. 

Q: What is the charge magnitude, Q if it lacks 5 electrons? A. 5.0 x10-19 C B. 6.0 x10-19 C C. 10.0 x10...

A:

Q: Express cot 0 (e in quadrant III ) in terms of cos 0. cos e V1+cos²e cos e V1-cos²e cos e /1-cos²e /...

A: we have to express cot θ in term of cos θ where θis in third quadrant we know that cot θ = 1tan θ an...

Q: Give one example of a mathematical truth by convention or by tradition. Then express this mathematic...

A: This is a problem of Propositional Logic.

Q: Give one example of assumed truth in mathematics that is not true in general. Then express this math...

A: Given: Give an example of a mathematical assumption that isn't true in general. Then, using categori...

Q: Now express 4 sixths as the sum of the smaller unit fraction

A:

Q: The profit that Jenny got from selling street foods in CTU have increased at a constant rate of P110...

A:

Q: Bijective A function is bijective if it is both 1-1 and onto. Prove that the function below is not b...

A:

Q: II. Find for the probability of the following experiments. 4. In choosing a card from an ordinary de...

A: Total no of cards in a deck =52 No of kings = 4 No. Of queens = 4

Q: Given that z = x² + xy, and that variables x and y depends on s and t as follows: x = s +t and y = s...

A:

Q: Simplify the expression: 5(3 - 2s) = %3D Submit

A: We have to simplify the expression 5(3-2s)For this, we will multiply 5 with each term within the bra...

Q: (Bounded Linear extension theorem Let theanor medspace and i its Banach completionniff is abound ed ...

A:

Q: ELIMINATE THE ARBITRARY CONSTANTS y = x² + ax + be¯*

A:

Q: -6 -24 Let A = -5 40 -3 24 We want to determine if the columns of A span R³. 6

A:

Q: Given Manny rode his bicycle 6km west, and then 5km east. How far is he from the starting point? Ste...

A:

Q: 14. Write the first five terms of the sequence: {" +00 (17 ln n ] Determine whether the sequence con...

A:

Q: Consider the function below: sin(a² +y) (x f(x, y) y-x (x Find the value of the derivative fr at the...

A:

Q: 94° (4x + 30)° All Char

A:

Q: Evaluate the second derivative of Z F5.png sin (b Vr2) f(x) = acosh cx3 if a = 5.54, b = 3, and c = ...

A: Introduction: There are three approximation formula for determining the derivatives of a function at...

Q: Progress Check Solve the following problems: 1.) Determine the first four terms of the power series ...

A:

Q: 2. Consider the graph of the function f (x) = 2 sin x, 0sx 0. Find the greatest value of p such that...

A:

Q: Find the linearization L (x, y) of the function f (x, y) = y/-x at (-9,4). 2 L(x, y) -x+ 3y – 6 3 L(...

A:

Q: The nth term of a sequence is given by an find the first two terms. %3D n+1"

A:

Q: Let a11 a12 aj13 2a11 2a12 2a13 a11+a21 a12+a22 a13+a23 a32 A = a21 and B а22 a23 аз1 аз2 аз3 a31 аз...

A: Matrices determinates

Q: 6 1 to

A:

Q: Jsing the z-transformation table, find the Z transform of the following: (a) {sin} (c) {sinh 2n} (b)...

A: Z transform using table

Q: If your Travel piece is 22.35", how long will you cut your piece of pipe using fractions of an inch ...

A:

Q: 8 9 10 11 12 9 (y) -7 4 -3 -9 dy Let y = f (x) be the solution to the differential equation 2 = 4x +...

A:

Q: Mark each statement as True or False. The basic feasible solutions before and after a pivot are alwa...

A: mark each statement true or false (a) the basic feasible solutions before and after a pivot are alwa...

Q: (i) Find the change-of-basis matrix Ps,-E and then use it to find the component vector [C]s, of - wi...

A:

Q: The normal system associated to an inconsistent linear system Ax = b is: is: O AATæ = A™b O Ab = x O...

A:

Q: 3. (a) What is the slope of the curve y = 2x* – x³at x = 1? sin x (b) If y = dy find dx 2 (c) Find t...

A:

Q: A_is the probability that belongs to one or both of two events. * Union Intersection Sample points E...

A: First of all, let me define the terms here: 1. Union : if two events are associated say A and B, the...

Q: Find the general solution of the given differential equation: x²y" – 4xy' + 6y = 0 %3D -

A: We are given Euler-Cauchy homogeneous differential equation of second order with variable coefficien...

Q: Calculate the number of paths of length 10 starting at the vertex 1. How many of these paths end at ...

A: We will use the fact that if A is the adjacency matrix of a graph .Then the number of paths of lengt...

Q: Consider the following points. (3, 5, -4), (2, 0, -5), (o, 6, -2), (-1, 1, -3) Set up and evaluate a...

A: Given data points (3, 5, -4), (2, 0, -5), (0, 6, -2), (-1, 1, -3) to check whether they are coplanar...

Q: Find the Area of a sector with a central angle of 50° in a circle of radius 2 meters. Select one: O ...

A: We know that the area of a sector is, A=θ360°πr2     ..........(1)Given:Central angle, θ=50°Radius, ...

Q: Find the general solution of (xe +y)da – cdy = 0 %3D

A: Given differential equation is xeyx+ydx-xdy=0 we can write it as dydx=yx+eyx             (1) which i...

Q: The beginning inventory of TARR company was P2,434,400 and purchased during the period amounted to P...

A: Given: The beginning inventory of TARR company was P2,434,400. Purchases during the period amounted ...

Q: 2) Sketch the graph of the curve with the polar equation: r= 2– sin(20).

A:

Q: 1 -2 4 -2 3 If A = 3 5 -1 and B -1 find 2A+ B. -2 1 3 1 2 ? ? 2A + В %— ? ?

A:

Q: 8. There is a jump discontinuity at x = 2 and f(2) = 3

A: Assuming we have to draw graph of a function f(x) with jump discontinuity at x = 2 and f(2) = 3, Con...

Q: Let 2a13 2a12 and B= |a|1+a21 a]2+a22 a13+a23 a12 a13 2a|| A= a21 а22 а23 аз1 аз2 азз| a31 a32 a33 I...

A:

Q: Starting from the point (0, 4, -2) reparametrize the curve r (t) = (0 – 2t) i + (4 – 2t) j + (-2 + 0...

A:

Q: e make it step by step solution:  d.Using Matrix [B1] and [B2] prove that by solving the determinan...

A: Introduction: The determinant is defined as a scalar value related to the square matrix. If X is a m...

Q: f(a1,a2,a3) = a1 + 2a2 + 3a3 subject to a12 + a22 + a32 = 56 Above defines an optimization problem....

A:

Q: Find the minimum value of the function f (x, y) = 16x² +81y² subject to the constraint xy = 1.

A:

Q: 2. Compute for a real root of sin -x 0 using three iterations of Fixed- Point Iteration Method with ...

A: