Determine the inverse of the function . f (x) = 3x / 2x - 5

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Q: 6. Find all the roots of the following polynomials: a) p(r) = * - 3.r" +?+ 7x – 30 and b) p (r) = r*...

A: Note: Since we are allowed to solve one question at a time, we have solved the first one. Kindly res...

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Q: 35. Зх + Зу + 12z 3D 6 х+ у+ 4z %3D 2 2х + 5у + 20z %3D 10 —х + 2у + 8z%3D 4

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Q: Question 7. t = 1. ] Let r(t) = 5i + t²j – t²k. Compute the unit tangent vector T(t) at time

A: This is the problem of Vector Calculus.

Q: 3. A piece of wire 36 in. is cut into two parts, one of which is bent into the shape of an equilater...

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Q: Compute the matrix product EB. Select the correct choice below and, if necessary, fill in th DA. EB ...

A: Introduction: Two matrices A and B can be multiplied if the column of matrix A is equal to the row o...

Q: 2. Consider the infinite series defined by> 27 n=1 (a) What is the value of r from the ratio test? (...

A: Given, The infinite series is ∑n-1∞ 2n!22n. Using the ratio test, the value of r can be found. r=lim...

Q: (i) find gcd(2,3+5i) in Z[i], (ii) show that 3+4i and 4-3i are associates in Z[i] , do all , dont co...

A: Solution (i) 

Q: Let w = f(z) = z? + 3z=u+iv where, z is a complex variable such that z=x+ iy then, the value of v at...

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Q: Select the statement which is true about the function.

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Q: 3) The number 2 is a primitive root modulo 19. Compute the powers 2' for I = 1,2, ..., 18, 19 to obt...

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Q: To find a value of x that will make the following function true using Fixed-Point Iteration, what eq...

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Q: Let w = (sin(x) +7 cos(y)) dy ^ dz + (2³ – y cos(x)) dz A dæ + 14xyz da A dy. Find dw. dw = dx A dy ...

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Q: Find the solution of the given initial value problem. ty' + 4y = t – t +7, y(1) = 2, t > 0 ||

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Q: Solve (1 07 y'' – 4y' + 3y y(0) = y'(0) = 0 y(t) = f(t)uo(t) - g(t)u7(t), where f(t) = g(t) =

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Q: | Let r(t) = 5i + t²j – t²k. Compute the unit tangent vector T(t) at time Question 7. t = 1. 5 (a) 2...

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Q: O ut P: G →Q given lay f()=P+9 where find the domain of R P, 9 ER and 9+0 aud Show that f. funclion....

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Q: Peter has P560,000 in his bank account in which he opened exactly 3 years ago. If he did not make an...

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Q: A newspaper editor starts a retirement savings plan in which $175 per month is deposited at the begi...

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Q: Question 1. Is] Let a be the vector (2, -6, -1) and b be the vector (6,-2, 3). Find the component of...

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Q: If the area of the base of the octagonal pyramid is 553.12 square feet and the height of the pyramid...

A: The volume of an octagonal pyramid is calculated using the formula: V=13×B×h, where B is the area of...

Q: Find the function f(x) described by the given initial value problem. f"(x) = 7 sin x, f'(T) = -5, f(...

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Q: (1) (a) Solve the following: 1 (i) 2*-6 (ii) log;(x+3)=1-log;(x-1)

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Q: Consider the function f(t) = 21² – 3t + 7 on the interval –1 < t < 1 with periodicity P = 2 Give a F...

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Q: Find all the second partial derivatives. f(x, y) = x6y – 2x³y2 fge(x, y) = fxy(X, Y) = fyx(x, y) = f...

A: Here we have to find second partial derivatives of given function f(x, y) 

Q: 2. A three paper bills are drawn in succession without replacement from a piggy bank containing 10 2...

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Q: 1. Suppose three cards are selected from a standard deck of 52 cards and laid out in a row on a tabl...

A: Brief explanation of the answer has been provided in the file attached below. If you have any doubts...

Q: De = system consider the foll lution exists for = 2, µ ations exist for = 5, µ = on for 2 = 6, µ = 7

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Q: A linear transformation T : R* –→ R? whose matrix is -3 3 6 -2 2 3+ k is onto if and only if k +

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Q: In this problem, verify that the given functions y1 and y2 satisfy the corresponding homogeneous equ...

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Q: Find the zeros of the function. State the multiplicity of multiple zeros. y= 4x - 4x Select the corr...

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Q: (d) Compare the results of part (b) to the optimal solution contained in the text. Comment on the ro...

A: Solution: Objective:       Minimize T. Step 2: Select the modeling approach. We will model this pro...

Q: Determine the value of the following: a. F15 + F10 b. (F7+F8+...+F16)/11= Fn , what is n? c. F35

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Q: If f(5) = 10, f'(5) = 3, g(1) = 5, g'(1) = 7, then 4 (f(g(x))) at æ = 1 equals d Select one: O a. 3 ...

A: Multiple :   1) We have , f(5) = 5 , f'(5) = 3  , g(1) = 5  , g'(1) = 7 We need to find , ddxfgx  at...

Q: 5) Find f(25) given f(20) = 14, f(24) = 32, f(28) = 35, f(32) = 40, using Gauss's formula. %3D %3D %...

A: Note:- In this problem, any particular type (Forward or backward) of Gauss formula is not mentioned....

Q: solve the e = 1.2 then the val

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Q: A B. E What proves AABC ~ AADE AAA - O AAS ~ - O SSA - O AA ~

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Q: Given, f (x) = 2x° + 7x² – 11x +1 select the TRUE statement about the end behaviour of f(x). O x → 0...

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Q: (2x2-2 for x-2 f(x) = 6. %3D 3/x lim f(x) is positive. 3. %3D -2- 3D %3. i lim f(x) is positive. Ix-...

A: # we are entitled to solve three subparts at a time, please resubmit the other parts if you wish to ...

Q: Solve the following PDE, without boundary conditions, by the method of separable variables to find a...

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Q: y"+ 5y' + 4y = 0 at y(0) = 1 and y'(0) = 0

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Q: Let : A B be a mapping of sets, A a system of subsets of A, and 3 a system of subsets of B. Define S...

A: Since you have asked multiple questions, we will solve the Question (k) and (l) for you. If you want...

Q: The Ran Civilization, based on history books, started in 753 BCE and it ended in 476 AD. How long di...

A: We will add the years of BC to the years of AD to obtain the duration.

Q: G Lt A={1,3, 5} B = 2.7.9 7 R=f (1,2), ( 3, 7) ,13, 11) , (5, show RI A B not function %3D

A: Since you have posted multiple questions and we can answer one question. So, answered first question...