Prove directly if the statements that are true, give counterexamples to disprove those that are false. (1). V m, n E Z, ifm mod 6 = 5 and n mod 6 = 2 then mn mod 6 = 4. 2. (2). V m, n ɛ Z, if m | n³ and m Sn then m | n.

Q: paper 2 4. INDICES AND SURDS 2012 J Q2 (b) Solve the equation 363y-5 63y 62y-1 216 y+6

A: Solution:-

Q: Find the value of x. 13 39 O 26 O 22 32

A: The Secant-Tangent theorem describes the relation between the secant and the tangent that are drawn ...

Q: ln (ale) secx (2– sec²x)em sec(3A – x) What should be the value of A for dr to be integrable using t...

A:

Q: Find the vector component of v = 2i – j + 3k along b = 6i + 6j + 7k and the vector component of v or...

A:

Q: Find the pattern of addition/subtraction from one x-value to the next and from one y-value to the ne...

A:

Q: answer 3

A:

Q: A store is having a sale on school supplies. The following expression represents the total of Jan’s ...

A: Greatest common factor  of a and b is a number that is the largest common factor of each of a and bo...

Q: Solve the linear system using Gaussian Elimination with Back Substitution 3a + 2b + 3c + 4d = 55 2a ...

A:

Q: 4x + 2y = 16 or y= -2r + 8 y=-2x + 8 only 5 points on the graph c T CONCon ss ROUTS 1400 DLDREN 1200...

A: The domain and range of the graph 4x+2y=16 are integral values.

Q: . Homework. Let a and b be integers. If 7 | (17a +256), prove that 7 | (10a+11b).

A:

Q: 7. The table below gives the power consumption in megawatts (MW) in San Diego County from midnight t...

A: The quantity of energy utilized per unit of time is referred to as power consumption. In digital sys...

Q: 1 2.if [(fT))=, find [ f(4t) S

A: Laplace transform of the function

Q: 18-19. What is the value of the correlation between Academic Performance and Digital Literacy? Digit...

A: Correlation coefficient between the variables x and y is given by the formula r=n∑xy-∑x∑yn∑x2-∑x2n∑y...

Q: 1+ 2х, if -1 <x<0, 1 — 2х, if0 <x<1. f (x) =

A:

Q: Use Stoke's theorem to evaluate the integral curl F dS where S is the surface given by e1-a -y – 1, ...

A:

Q: Use the Comparison Test to determine if the series converges or diverges. 5n – cos2n n3 + n2 + 1 n=1

A:

Q: In (T/e) ( (2- sec?x)eme sec³x sec (зА - х) -dx to be integrable using the formula и" du? ? What sho...

A:

Q: Evaluate - (~ p < q) ^ ~ (p →~ q). O FFFT O FTTF O Tautology O FTFF O FFTF O Self-contradiction

A: As per our company guidelines we are supposed to answer only the first question. Kindly re Post the ...

Q: compos on of mappings is a binary operation by completing the multiplication table for * fi f2 f3 f4...

A: There are four types of basic operations in mathematics (addition , subtraction , multiplication, di...

Q: 1. Find the solution of the following system of equations using LU decomposition. Enclose the "L" an...

A:

Q: (4) Let S be the surface parametrized by r =r cos e y =r sin e 2 = 30 where and 15050 0<r<4 Evaluate...

A:

Q: In some situations, we would like to differentiate a function more than once. We call this higher-or...

A: As per the instruction, we will be answering the first question. If you need an answer to others the...

Q: The approximate value of In 1.6 x sin 0.6, using a Maclaurin polynomial is 0.25909. Enter the Absolu...

A: Given that the approximate value of ln1.6×sin0.6, using Maclaurin polynomial is 0.25909. (a). We kno...

Q: If L(x, y, y/) = y² (1+ (y/)²)³ what are Ly and Ly? O Ly = 2y(1+ (y)²)³ and Ly = 6y"y² (1+ (y')²)² O...

A:

Q: E A) Find the value of (H) if, / A: |H 1 -1 (x3-1) 1 = lim,- 0. (x-1) 4 2 1

A:

Q: Question 10 Which of the following is the constant term in the expansion of (2z++) is O 160 / 27 O 8...

A:

Q: The antiderivative of fix), denoted by FIX), exhibits an odd symmetry i.e., it satisfies the propert...

A:

Q: (2) Use Stoke's theorem to evaluate the integral curl F. dS where S is the surface given by 2= e4-r-...

A:

Q: Solve for the general solution of equation (4), d²X + B²X(x) = 0 dx? Express the general solution in...

A: This is a problem of IV. 

Q: Let {an}n=1 be a convergent sequence such that a1 = v5 and an+1= /5an Compute lim an n→∞

A: Given a1 = 5  and  an+1 = 5an

Q: Solve: t? (dx/dt) + 3tx = t4 In (t + 1), x(1) = 0. %3D

A: Let us consider the differential equation dydx+P(x)y=Q(x) To determine the solution of the equation ...

Q: 1- Solve the set of simultaneous equations below: a- 2x-4y=-24 9x-3y=-3 b- 2x+3y=27 6x+9y=81

A:

Q: C. Optimization 1. Use the first derivative test to determine the relative extrema of the following ...

A:

Q: A little boy makes a triarngular toy bin for his stuffed animals in an inside corner of his room. Th...

A:

Q: eln (R/c) secx - sec?x)" sec(34 – x) "du?? dx to be integrable using the formula What should be the ...

A:

Q: Below is a slope field for which of the following differential equations? dy A. В. dr dy С. dr dy D....

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

Q: $500,000 that he would like to invest in a savings account earning 3.15% compunding daily over a 25 ...

A: Given Principal amount = $500,000 Interest rate = 3.15% compounding daily time = 25 years

Q: Below is an alternative but equivalent definition of the definite integral of f: R→R between a and b...

A: Given: xk=a+kb-an for 0≤k≤n Inf,a,b=b-an∑k=0n-1fxk fx=x2 Jnf,a,b=b-an∑k=1nfxk To do: i Calculate...

Q: 4. Which of the following vertices are adjacent to vertex B? B E FO Figure 1 O A) AEDC B) AEFC C) AE...

A: As per Bartleby guidelines we're supported to answer only one question when two or more questions ar...

Q: Identify whether each of the following is a polynomial function. Justify your answers. a) h(x) 2- Vi...

A: We have to choose polynomial function for given function.

Q: 2. Use spherical coordinates to find the volume of the solid that lies above the cone z = 3r2 +y? an...

A: Relation between cartesian and vector form  x = ρ sin φ cos θ , y = ρ sin φ sin θ  , z = ρ cos φ  Wh...

Q: I Find the second derivativety") of the following functions and simplify the final results. 1. y = x...

A: Question 1 asked and answered.

Q: 6. For each of the cases, give an example of function f: Z → Z. Verify your examples (a). one-to-one...

A:

Q: 1. Determine the amount of medication that is in Aldi's bloodstream after Haidar gives him each of t...

A: Since there are multiple questions, we will solve the first question post the question again, and me...

Q: Let f(x) = 2x ^ 3 – 7x + 3x ^ 7 – 2. Find the 4th order derivative evaluated at x=2. A

A:

Q: II Solve the ff. problems using trigonometric or inverse trigonometric functions Show illustration, ...

A:

Q: dx = In[F(x)]+C-What is F(/3) if C = For I (x+x*) (x Tan-'x +1) S- SE SI- S-

A:

Q: Find F(s) if: 19) F(1) = 6e cosh 2r

A:

Q: 5- 25 + 4 (s + 1)(s + 2)°

A: This is a problem of Laplace Transform.

Q: 2. Let b, = cos and cn = cos for all n e N such that n > 2. Determine whether the given series conve...

A: