Example 27 Find the formula for the inverse of the following functions: a. g(x) = x² – 1 2x+3 b. h(x) 5x-7

Q: Use the recursive formula to find ?50 of the Fibonacci number.

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Q: ieN 6. (a) Uto, i+ 1] = (b) N[0,i+1]= ieN ieN 7. (a) URx[i,i+1] = (b) ORXlii+1l=

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Q: 1. Prove whether or not H(x) = x² + y² – 3zy is a Hamiltonian

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Q: 1. Given the following polar equations, find the eccentricity and identify the type of conic; write ...

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Q: ieN (4 For each nEN, let A, = {-2n,0,2n}. (a) UA; = (b) NA: = ieN ieN

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Q: Find the area of the parallelogram. P1(0, 0, 0) P2(3, -4, 1) P3(-1, 2, -1) O 63 V26 C O 23 Find the ...

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Q: What is the simple interest for a principal of $650 invested at a rate of 9% for 5 years?

A: Given information Principal amount P=$650 Rate of interest r=9% Time t=5 years We have to find the s...

Q: 3. Determine whether the vectors are linearly independent or are linearly dependent in P2. 1+3x+ 3x,...

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Q: 6. linear combination of simple positive definite function is positive definite. i=1

A: A positive definite function is a function of a real variable. But, its codomain is the set of compl...

Q: Maile deposited $9,000 into a retirement account whose balance grew 4%per year. She made no further ...

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Q: Given: /(x, y) = 3x² – 2y² at (-÷.0) in the direction from P (–.0) to Q(0,1). What is the directiona...

A: There is no such introduction for the solution.I have explained it within the solution.Please go thr...

Q: (3 t 4

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Q: Which of the following is logically equivalent to (av b_ v d_) A (1L v b_ v d) A uv b- v d) A (1L vb...

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Q: If f.(a,b) = f,(a, b) = 0 then (a, b) is %3D %3D ans. critical point point of extreme isolated point...

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Q: 4.4. (Exponential martingales) Suppose 0(t, w) = (01(t, w),...,0n(t, w)) e R" with Ok(t,w) E V[0, T]...

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Q: A taxi companv charges a pickup fee of $5.25 plus $0.60 per mile. undefined What is an appropriate p...

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Q: 20. The radius of the circle Answer choices and input O vio O 2/10 O 3/10 O 4/10

A: according to our guidelines we can answer only three subparts, or first question and rest can be rep...

Q: 2. Sx (x² – 2)14 dx

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Q: 5) (3-6)/6+76)

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Q: Solve the following initial value problem: (2x + 4y)dx + (y – x)dy = 0, y(1) = 0. %3D

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Q: y' + 2x y = x' e* subject to IC: y(0) = - 1 et2

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Q: 5. Test the exactness and evaluate the DE. (ху? + у — х)dx — x(-ху— 1)dy x²y² + 2xy – x² = C 2x²y? +...

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Q: The rate of a certain reaction is given by the following rate law: rate - k[#][!] Jse this informati...

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Q: 243メy 5xラ-プ2イ3y + Jrey 5メ

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

Q: 1. 5х2у" + 23ху' + 16.2у —D 0 2. х?у" + 0.7ху' — 0.1у %3D 0 3. х2у" — 0.7ху — 0.1у %3D0 |

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Q: use the parallelogram law to form the sum and difference of the given complex numbers and then verif...

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since th...

Q: Bertalan deposits $3,000 in a new savings account that earns 1.2% simple interest. How much interest...

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Q: Find the solution of the logistic (or logistic-tike) equation = 3z (10 - z) with initial condition z...

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Q: "At noon, ship A is 40 miles due west of ship B. Ship A is sailing west at 23 mph and ship B is sail...

A: As given by the question There are given that the value of ship A is 40 miles. Then, In the given qu...

Q: 5) It ai

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Q: 12. y' + (tan x) y = cos 3 subject to IC: y(0) = -1

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Q: this series is ans. absolute convergent for x < divergent at x=0 none of these conditional convergen...

A: I will use radius of power series and alternating series test.

Q: 7. C43 of -BA

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Q: Identify the conic 9x2 – 4y² – 18x + 24y + 9 = 0. Determine the foci, center and end points of the m...

A: Identify the conic 9x2-4y2-18x+24y+9=0 Determine the foci, center, and endpoints of the major and mi...

Q: Q10) The series 4n Σ n =1 n²+2 a) converges to b) converges by comparison test th term test c) conve...

A: To find- The series ∑n=1∞4nn2 + 2  Converges to 0 Converges by Comparison test Converges by nth ter...

Q: n2+1 The series n=1 2n3+1 8. E +5) is ans. convergent divergent nothing can be said oscillatory POCO...

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Q: cose o3drde =? ans. はは 3一

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Q: A search using the Web search engine BingTM for "asteroid" yielded 24.6 million Web sites containing...

A: Given that The number of websites containing the word asteroid is n(a)=24.6 million The number of we...

Q: irection: If M is the midpoint of PQ, determine the coordinates of Q. M (-1, 5), P (3, 8)

A: Given coordinates of M (-1, 5) and P(3, 8) Also M is mid point of PQ Let coordinates of Q be (x, y)

Q: 3. Applying the relative extrema Theorem, determine whether or not x = is a point of relative extrem...

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Q: Man borrowed $30,000 at a simple interest rate of 12% per year to woman, however Man can only paid h...

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Q: 2. x'y- 3xy = 4x + y+1 at (0,- 1)

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Q: The price p (in dollars) and the quantity q sold of a certain product obey the demand equation q =80...

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Q: Determine the volume of the solid W limited above by the cone z in the figure and below by the parab...

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Q: In the geometry of Desargues, which axiom is not true statement in Euclidean geometry? * Axiom1 Axi...

A:   There are six axioms in the geometry of Desargues as follow: Axiom 1) There exists as least one po...

Q: ngle by its angles 5.

A: Introduction: If the angle of a triangle is equal to the angle 90°, then the triangle is a right-ang...

Q: 8. Determine the algebraic representation of the following piecewise function. 4 3

A: Solution: Now it is known that the equation of parabola is given by y=ax-h2+k Where, h is the horizo...

Q: How many solutions does the following system of equations have? x - 3y + z = 2 3x - 4y + z = 0 2y - ...

A: Gauss elimination back substitution method

Q: 12) The school is planning a Spirit Day, where all students and staff participate. Henderson Middle ...

A: let the number of shirts be x according to question corst of each shirt=$5 one time fee =$100 claim-...

Q: a2u 2) дхду ди 6xe* (factor integración) ду - %3D

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Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.