Use properties of logarithms to condense the logarithmic expression and write it as a single logarithm. (No decimal answer). log(A)−log(B)−log(?)

Q: Determine the re al roots of the equation fx) = 5x - 5x2+ 6x – 2 using iterations of the bise ction ...

A:

Q: (21+) dt I. Using the trapezoidal rule complete the following. a. Estimate the integral with n= 4 st...

A:

Q: [-x, 7] aralığı üzerinde f(x) = cos x fonksiyonunu ele alınız. f(x) için 0 and x2 = T (düğüm) noktal...

A:

Q: Calculate the principal 4rth root of –1 – V3 i

A: The given complex number is: z=-1-3i Formula: The n-th root of a complex number z=rcos θ+i sin θ is ...

Q: If R is a U.F.D., then R[x, y] is a U.F.D. If F is a field, then F [x, y] is a U.F.D.

A:

Q: What is the degree of the differential equation? d²y dy 1 2 %3D `dx' dx2 2 3 4

A: Given differential equation is dydx12+y2=d2ydx2......1. We have to find the degree of the differenti...

Q: Let E be a set of measure 1, and f be a continuous function on E. Suppose that p1 > p2 > 1. What is ...

A:

Q: Please make it step by step: b.Using Matrix [C] and ‘k’ prove that Property 3 of determinant is true...

A:

Q: Problem 1. Let 1 2 1 3 0 1 1 1 –1 A = 1 3 2 0 1 (a) Find a basis for the range of A. (b) Find a basi...

A:

Q: 3. Let E beE E. Suppose th

A:

Q: How to find the primitive root of 19?

A: Since if n is a prime number, then,  if a is the primitive root of n, then aϕ(n)≡1(mod n) We have n=...

Q: Show that the column vectors of following matrix A are linearly independent: [1 0 A = 6 2 1 4 3 2

A: The given question is related with linearly independent vectors. Given that,                  A = 10...

Q: Use three-point midpoint formula to evaluate the first derivative of y = sin(x) at x = using a value...

A: To find- Use three-point midpoint formula to evaluate the first derivative of y = sinx at x = π2 usi...

Q: Calculate the purchasing power of $80,000 in 15 years using an annual inflation rate of 6%. Round t...

A:

Q: (10 + 20i)u + vi = -48 + 339i, (8 – i)u + (1 – 8i)v = 18 – 24i %3D

A:

Q: You deposit P 750 in an account paying 7.3% simple interest. Find the future value of the investment...

A: To find- You deposit P 750 in an account paying 7.3% simple interest. Find the future value of the i...

Q: c.Using Matrix [D] prove that Property 4 of determinant is true

A: Determent of the Matrix, using properties

Q: Using a Table of Integrals with the appropriate substitution, find + 5e2 + 9e dx Vezo – 64 Answer:

A:

Q: (b) ( after each iteration (e.g., by a factor of 1, 2, 4, 8, 10, or something else)? In general, if ...

A:

Q: Find the differential dy or evaluate the differential of any function at the given point. Match the ...

A:

Q: 1 Considered the area of a trapezoid is 50 sqm and the height is described by a number. Bases are de...

A: We can solve this by calculating first area then apply bisection method to calculate roots

Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

A:

Q: Use forward-difference formula to evaluate the first derivative of y = x² + 4x – 5 at a = 0 using a ...

A: The forward difference formula is : f'(x)=f(x+h)-f(x)hWe have to find the first derivative of y=x2+4...

Q: 2. y = 3x - 8x3 + 6x2

A:

Q: (a) Compute and simplify S(x) (the Fourier series of f). (b) Simplify the expression of S(7). (It wi...

A: Given- Let f be defined on -π, π by  fx = 0,-π < x < 0,x2,0 < x < π To find-  Compute a...

Q: If T : R' → R° is a linear transformation such that 3 then T 4

A:

Q: 15.5 Prove that if n is a perfect square then n = 4q or n = 4q + 1 for some q e z. Deduce that 12345...

A:

Q: Calculate the simple interest due on a 45-day loan of P1,600 if the interest rate i

A: Principal P = P1600 rate of interest = 9% (considering per annum) time = 45 days=45365year The formu...

Q: f(z) = z + z lnz fonksiyonunun zo = 1 noktasında üçüncü Taylor polinomu P,(z) i kullanarak f(2) değe...

A: To find- Use the third polynomial P3x for fx = x + x lnx about x0 = 1 and evaluate f2. 

Q: Problem 2: Consider the following equation for a certain population of squirrels given by P(t) (t is...

A:

Q: Step by step else downvote, with clear handwriting. Prove that for any real number x, there exits a ...

A:

Q: Use Newton's (or the Newton-Raphson) method and find p2 with po = 0 for f(x) x. a+1 42 43 3 -1

A:

Q: The value of ffR (1+ 2y)dA, where Ris triangular region with vertices (0,0), (5,0) and (5,5) is Sele...

A: We have to evaluate the double integral ∬ 1+2y dydx over the region R, where R is the triangular reg...

Q: is d X

A: The given integral is∫01xx2+5dx substitute  x2+5=u2xdx=du  

Q: 1. Suppose that f2(x) is a measurable function. Is it true that f(r) is measurable? Prove, or give a...

A:

Q: = 00 =1 -X lim x° * %3D lim take In Inx lim e-* Inx= lim x→x ex) = 0 %3D Take exponential - lim x° =...

A: To evaluate the given limit: limx→∞xe-x

Q: Answer the 4 following questions using this scenario : Samuel wants to save $2000 for a trip to Hers...

A: Introduction: The formula of compound interest is given by, A=P1+iNNt where A is compounded amount, ...

Q: The electrostatic potential generated by a distribution of electric charge in R with density p: R³ →...

A:

Q: dr Solve: de +rtand = cos? 0; r() = 1 r (플) =D1

A:

Q: Solve: dy +ysecx = tan x dx

A: The given question is related with linear differential equation. We have to solve                 dy...

Q: D Question 2 1.5 pts The cost C to produce X number of CDs is C = 50 + 10X. The CDs are sold wholesa...

A:

Q: Consider the following Gauss-Jordan reduction: 1 9 1 9. 1 100 Г1 0 0 1 -27 -9 -27 -9 0. 1 0 1 0 = I ...

A:

Q: Part - 1. Write the order and the degree of the following differential equations. dy d'y dx dy +a'x ...

A: Multipart:    We need to find , order and degree of the differential equation. As we know , Order of...

Q: The electrostatic potential generated by a distribution of electric charge in R3 =h density p: R³ → ...

A:

Q: What is the degree of the differential equation? 3 + O 5 +3 = 0 dx dx 1 2 3 4

A:

Q: Suppose two dice (one red, one green) are rolled. Consider the following events: A: the red die show...

A: Introduction: The set of all elements that belong to either A or B or both A and B is the union of A...

Q: Write the first five terms of the sequence, give the exact answer: n n +1 [ n=1 Determine whether th...

A: Let us consider a sequence ann=0∞  then a1, a2,...... are the terms if the sequence  The limit of th...

Q: Question 4. At 60 degrees N, how many miles are between 30 w and 50 E?

A:

Q: Let - (y dx – x dy) W = (x² + y²)ª be a one-form on U =R² \ {(0,0)}, and o : V → U be the smooth fun...

A: Given: Let us consider the given, ω=2x2+y24ydx-xdy be a one-form on U=ℝ2\0,0 and ϕ:V→U and the smoot...

Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

A: