Question 3. Given the function f : R → R defined by if x < -1 if -1 1 f(x) = 21² +x-1 r+1 a. Find the image f(R) of the function f. b. Is the function f onto? Justify your answer.

Q: 1. Choose a number and apply the following operations to it. Multiply the number by 15, and subtract...

A: As per Bartleby guidelines i can answer only one question, kindly upload rest questions seprately. T...

Q: Solution of dy/dx + 2xy = y is (A) y = ce* B y = ce -? © y=ce*²_ - x (D y=ce*-x2

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Q: 8 24 Let a = and b 26 Is ba linear combination of a and az ? OA. b is not a linear combination. B. Y...

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Q: Find the third iteration value of an extremum (maximum/minimum value) of the picture if a = 4, b = ...

A: We can solve this using newton raphson method

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A: given fz=e8-π2i simplify form of fz is? solution it is known that  eiθ=cosθ+isinθ thus e-π2i=cos-π2+...

Q: A trough is 4 m long, 5 m wide, and 2 m deep. The vertical cross-section of the trough parallel to a...

A: From the given question, length(l)=4 m width(w)=5 m depth(h)=2 m

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A: Given that e−x and xe−x are the solutions of y''+ay'+by=0. We have to check whether the e−x and xe−x...

Q: One card is drawn from a standard deck of 52 cards. Find the probability of drawing a black card or ...

A: Given a standard deck of 52 cards. We have to find the probability of drawing one card (i) Black car...

Q: .2 dx V4x – x2 3.

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Q: y Which of the following is the general solution to the differential equation 2 = 2 + ex? dy dx y e ...

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Q: Do you agree with the statement that “ cubic functions must have at least 1 x-intercept but not more...

A: We have to determine whether cubic functions must have at least 1 x-intercept but not more than 3, w...

Q: II. Solve AABC subject to the given conditions. Round the lengths of sides and measures of the angle...

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Q: Question 12 What is the exponential form of the complex number 4+3i? A Se 53.13ºj B 5e 36.87ºj 7e 53...

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Q: 16 In x xу"(х) + ху (х) - у(х) - х> 0, у(1) %3 3, у'(1) %3D 1

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Q: 6. Determine which of these integers are prime. a) 7· 17 b) 1· 19 c) 109 d) 153 e) 187

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Q: Read the two statements. Write A if Statement I is true and Statement II is false B if Statement I i...

A: This is a problem of number theory and set theory.

Q: If limkoo ak 0 then Eak is convergent.

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Q: QUESTION 5 A college with 90 programs creates the histogram below to show how many students graduate...

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Q: 20y gny %3D

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Q: Nita invested in a simple, ordinary annuity that earns 4.1% interest, compounded semiannually. She d...

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Q: Formulate one given 4x4 equation (4 equations and 4 unknowns). Solve each given system of equations ...

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Q: Question 8 Find the order and degree of the following differential equation. 7(d*y/dx4)2 + 5(d?y/dx2...

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Q: ketch a three circle Venn diagram and shade the region represented by the set. a) (R  U  S) ∩ T b)...

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Q: Find the supremum and infimum of the set {r € R[10/T – 1 > 0}, if they exist. If they exist, provide...

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Q: Let f be an entire function such that |f(2)| < A + B|z|" for all z E C, where A and B are positive r...

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Q: Find the two values of m so that the function  y = xm  is a solution to the following differential e...

A: Solution of Cauchy differential equation

Q: Explain how to find the circumference of a circle with a radius of 4 inches .

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Q: In a family of 5 children excluding multiple births what is the probability that the children are al...

A: Total number of children in the family=5To find, the probability that the children are all boys or a...

Q: 15. A bowl contains 13 red balls, 17 green balls and 10 blue balls. A woman selects balls at random ...

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Q: The Sanchez family takes out a $200,000 loan for their fixed-rate, 30-year mortgage. The annual inte...

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as...

Q: Solve the following: 1. (x-2iy)-(y-ix)=2+i, x=?; y=? Express in Polar Form: 1. 3+i4 2. -3+i4

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Q: ax? (x) - -k if -L< x < L

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Q: e. 2 v-1/8

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Q: The APY for 6.5% compounded continuously is %. Give answer as a percent rounded to one decimal place...

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Q: Write the general solution f

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Q: The half-life of radium-226 is 1590 years. If a sample contains 200 mg, how many mg will remain afte...

A: The formula to find the amount of remaining radioactive material is given by the expression: An = A0...

Q: Construct an orthonormal set of vectors in ℝ3 from the set of linearly independent vectors ? = {(1,1...

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Q: 11. How many bit strings of length 13 start with 01 and end with 1? a) 210 b) 132 c) 213 d) 211 e) 3...

A: We have to find bit strings of length 13 starts with 01 and end with 1.

Q: 4. Z,/Z2 5. Z,*Z2* 6. z,3

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Q: A force F, of magnitude 6.00 units acts on an object at the ori- gin in a direction 0 = 30.0° above ...

A: We can solve this using definition of resultant

Q: Let L be the line in R3 through the origin and the point (1, 2,3), and let T: R3 R³ be the linear tr...

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Q: A = B = 4

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Q: (y² + ry") dr + (5y² – xy + y* sin y) Let M be the coefficient of dx and N be the coefficient of dy.

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Q: F(x) = x - 2e^-x A.) Determine the root using bisection method. Start with a = 0 and b = 1, and carr...

A: This is Numerical Analysis.

Q: Farrah borrows $18,000 to purchase a new car. The annual interest rate for the 60-month loan is 4.3%...

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Q: A steel manufacturing company has 2 types of steel: High Carbon and Low Carbon. The table below prov...

A: The given problem is related to linear programming problem. We solve it by graphical method. The sol...

Q: 3y(x? - 1)dx + (x? - 8y - 3x)dy = 0 when x = 0 and y = 1 A xy (y - 3) = 4(1 - x²) B y (x² - 4) = 3(1...

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Q: Question 4 In a concert hall, the ceiling can be described by the plane x + y + z = 30. An audio eng...

A: 1st we will find function to be maximized and its corresponding constraint then will use Lagranges m...

Q: We have found the following equation for the amount of chemical C, X(t). 150 - X = ce180kt 120 - 2X ...

A: First two are same value and last value upto 7decimal place.

Q: Ruby’s dog has 8 puppies. The puppies include 2 white females, 3 mixed-color females, 1 white male, ...

A: Given: Ruby's has 8 puppies. The puppies include 2 white females, 3 mixed-color females, 1 white mal...