Suppose that f : A → B and g : B → C are both injective functions, prove that the function go f : A → C is injective.

Q: Prove and show complete solution: Let ƒ be defined on an open interval (a, b) and assume that for…

A: please comment if you need any clarfification. If you find my answer useful put thumbs up. Thank…

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Q: Consider the equation E : y² = x° + 8. Compute 2P and 4P for P = (1,3).

A: Given clear explanation below

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A: given series ∑k=1∞4k3 find the smallest number of n terms needed to obtain an approximation of the…

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Q: 2. Use zero- through third-order Taylor series expansions to predict f (3) for f(x) = 25 x3 – 6x² +…

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Q: 1. How many hexagons are there in this picture? Show how you can compute the number without counting…

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Q: Determine the units digit in the following addition 1 +2 +3 +. +2020 +2021

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Q: Consider a risk process with X, ~~ y(2, 2) with loading factor 15%. Using the approximation eR* * 1+…

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Q: Write the dual to the following problem. Maximize z = 2x1+ x2 + 3x3+ x4 subject to X1+ x2 + X3 + X4…

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Q: View Policies Show Attempt History Current Attempt in Progress Find the volume of the solid that…

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Q: When writing proofs by contradiction we begin by assuming the opposite of a statement, and then show…

A: Given are some statements   To Find: Statements which are Contradictions.

Q: Find a power series solution of the differential equation y' = 4y

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Q: (z- 1) (+1) (- 6) (z- 1) ( – 1)(z – 6) (z – 1)(x + 1) (- 1)(x+1)(2 - 6) () O O

A: Follow the steps

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Q: Let r > 0. Consider the cone f(x, y) = r vx² + y². Show that the steepest ascent is the same at any…

A: Solution

Q: The graph of a periodic function f is shown below. f(0) 1 -2 -3 -4 a. What is the period of f?…

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Q: Prove the following statement using a proof by contradiction that utilizes the Well-Ordering…

A: Given: For all n∈ℕ, ∑i=0ni2=nn+12n+16. To do: Prove the given statement using proof by…

Q: What is the correct answer in questions 1 and 2? 1. Calculate the principal sum which, if deposited…

A: Let us considre P be the principal amount, r be the rate of interest and t be the time period . Let…

Q: What is the negation of ( (P →Q)^(Q v P))? ((PA Q) ^ ¬ Q) ^(¬QV ¬ P) ((P^ Q) v ¬ P) ^(¬QV P) O ((P v…

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Q: Students in a dance class filled out a survey. There were 25 girls and some boys who participated in…

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Q: рарer 2 4. -INDICES AND SURDS page 37 2017 J Q2 Do not use a calculator in this question. 9 V30 can…

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Q: ABCD is a parallelogram with diagonals AC and BD that intersect at E. Assuming the properties of a…

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Q: T. Те 20х10- лх107, (15× 10* 5x10°15 х 10-12

A: π×107 = TceTc20×10-125×10715×10-12 π×107 = TceTc20×10-127.5×10-4 Note: 5×10715×10-12 = 7.5×10-4

Q: 3t and y = 1+r 3t Convert the parametric equations to polar form, sketch the graph and find Let x =…

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Q: Find the paler form of fror

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Q: 2- Find the inverse Laplace transform of the these functions 3 (a)F(S) = S3 4s (b)F(S) s2 + 8 S - 1…

A: According to our guidelines, we are supposed to answer only first three subparts.Kindly repost other…

Q: dw + 3wdx + wdv - 4 dx = 0 (x+1) (x+1)²

A: Let us solve the linear differential equation in the next steps.

Q: 5. Let f : R → R be defined by f(x) = { 0 if r € Q, x2 otherwise. Prove that f is continuous at 0…

A: Here we prove the problem using the definition of continuity and a theorem.

Q: Solve the following LP model. a. Develop a spreadsheet model and find the optimal solution using…

A: The linear programming problem given is as follows: Maximize P=2x1+9x2Subject…

Q: Solve the following LP model. a. Develop a spreadsheet model and find the optimal solution using…

A: The linear programming problem given is as follows: Maximize Z=5x1+8x2Subject…

Q: Consider the lines defined by the equations {3 : 1 – 3 = y – 5 = 2 – 6 and (s) = (-2 – 2s, –2s, 6 –-…

A: we will write equation of lines in standard form and then find parallel vector ( direction ratio…

Q: Calculate f(t), if given F(s) the following is s2 +b2 (6). F(s) = In [(s+a)² +b²

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Q: Find the centroid of the given region. [Give exact answer in fraction form.] y = 2 – x? v = x The…

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Q: Answers must be integer Find a + b + C+d+ e. ;0sts号 : 풀 <tSmis: -t ;*<t< 27 The Fourier series of…

A: We have to find the value of a+b+c+d+e

Q: A computer programming section has 11 members. A team of 5 is to be chosen to work on a special…

A: (a) 5 members can be chosen from 11 members in C511 ways. C511=11!5!×6!=462

Q: Find the area of the region bounded by the curves y=x -1 and y=cos(x +1) within the interval (-1,1).…

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Q: Create a standard normal curve for each given, find the areas under the normal curve and shade the…

A: We have to solve the given problem.

Q: f (x) = x1.5 + 2. We have Find the tangent line L(x) for f(x) near x = 4 and use the tangent line…

A: Given that fx=x1.5+2x To find the tangent line L(x) for f(x) neat x = 4.

Q: Determine the drag coefficient ca needed for a parachutist of mass m = 68.1 kg to have a velocity of…

A: (a) The equation given is as follows: vt=gmcd1-e-cdmt........................................(1)…

Q: Solve the following differential equations (a) r³ dy + 2x- dx + 5x2 - 2y = 0 dr dr?

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: Check the stability of the system x1 = -xỉ + x² x2 = -x1 + 2

A: Solution

Q: Ms. Rosalyn Del Rosario, a part-time lecturer at a university, gets paid on a per-hour basis. Her…

A: Given: Rate per hour = P350.00 Work per day = 6 hours. Number of working days in a week = 6 days.

Q: A cylindrical tank of radius R 1.5 m and height H = 3 m initially filled with water. At the bottom…

A: Solution