A sequence is defined recursively as sk = Sk-1 + 3k for k > 2. %3D S1 = 4

Q: a) Describe the transformations on the cubic function below. Explain your thinking process. [C4] fx)...

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Q: Which of the following are propositions? a. All dogs have tails. b. My little sister is cute. c. Tod...

A:   Since you have posted a multi subparts question according to guildlines I will solve first three q...

Q: S*ご -2X Find I= e dx

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Q: i deltamath.com/app/student/solve/15744478/drawReflectedFigurel1 Reflect the figure over the line y ...

A: If we want to reflect through y =-1 then Perpendicular Distance from y=-1 to original point is equal...

Q: (n) Show that the density expressed in spherical coordinates (r, 0, 4) is p = Ar (1 – con" 0) eon² 0...

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Q: A kite is flying at a height of 40 ft. A boy is flying it so that it is moving horizontally at a rat...

A: Given: Kite is moving horizontally at a rate of 3 ft per sec. To determine: The rate at which the st...

Q: Solve the Following Equations Using Newton's Method a) cos(x) – sin(x) = 0.5 b) e* + 4 = x* – 10

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Q: A 10 kilogram object suspended from the end of a vertically hanging spring stretches the spring 9.8 ...

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Q: 4. Let n E N. Find all elements a Zzn+1) of order 2.

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Q: • Problem 2. Let a, b e R, with a < b. Consider the set B[a,b] of all bounded functions from the int...

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Q: 2. Suppose x,, X2 , X3 ..... Isa sequence defined by x, = 2, X2 = 4, bk-2 + 2bk-1 for all integers k...

A: Since you have asked multiple questions, we will solve the first question for you. Note:- In questio...

Q: Question 6. We can use (C) to represent C(n, k). Show that (") is divisible by n if n is a prime num...

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Q: It is determined that the temperature (in degrees Fahrenheit) on a particular summer day between 9:0...

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Q: Tabular Method for Minimization Example: Determine all the prime implicants of the function defined ...

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Q: +o0 (T" – n)" 2η n=1

A: Here we use basic definition to check the convergent of series .

Q: Tabular Method for Minimization cample: Determine all the prime implicants of the function defined b...

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Q: Use cylindrical shells to find the volume of the solid generated when the region enclosed between x ...

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Q: The Amazon River is about 6,400 kilometers What is the length written in Scientific Notation

A: Solution

Q: Given the function h(x) and the following information: 1. h(-8) = 7 2. h'(x) > -9 on [-8, –1] Which ...

A: We can solve this by using fundamental theorem of calculas

Q: Explain why the integral is improper. 12 | x - 3)3/2 EMaple Generated Plot O At least one of the lim...

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Q: x3 2.

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Q: The degree sequence of a graph is the sequence of the degrees of the vertices of the graph in non-in...

A: Handshaking theorem:  In any finite undirected graph, an even number of vertices always have an odd ...

Q: Find the focus, directrix, focal diameter, vertex and axis of symmetry for the parabola 36.2y = x? %...

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Q: Whats the answer? 45 divided by 6,001 what is the answer

A: we need to divide 6001 by 45  Proceed as follows 451600145↓-15 carry down 0     

Q: There are 20 seniors serving the student council of the Bacnotan National High School this year. Of ...

A: Number of students not served before are=3 Those who served in all 3 years and serving this year als...

Q: Solve the L.P.P using Simplex method Max Z= 3x 1 + 2x 2 + 2x 3 Subject to 5x 1 + 7x 2 + 4x 3 ≤ 7, 4x...

A: The given problem is to solve the linear programming problem using simplex method.

Q: • Problem 4: Let (M,d) be a metric space and let A C M be non-empty. Prove that the following are eq...

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Q: Jesse has 4 friends and 5 coworkers. Each day in the year 2021, Jesse talked to some number of frien...

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Q: prove. Prove that the polynomial 1+x+x^ 2 +...+x^p-1 . where p is a prime number, is irreducible ov...

A: Notice that we cannot directly apply Eisenstein criterion to prove that the given polynomial is irre...

Q: dy For = 2x -9 and y(0) = 7, use Euler's method with h = 0.1 to approximate y(0.4). Then, solve the ...

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Q: 2. Find the Laplace Transform of t? cos 2t

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Q: ional derivat at point (-1,

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Q: 3. Induction is a variant of induction, in which we assume that the statement holds for all the valu...

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Q: nethod; Inz VUna)-y

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Q: Problem 2. Let a = (1,6, –4), b = (1,2, 3) be vectors in R3. (-2, —9,8), с %3 (3, 19, –7), d = (3, 1...

A: If a1, a2, a3, a4 be the any 4 vector in Rn . we say that a1 can be written as the linear combinatio...

Q: Let a, b, c e R, and consider the plane P with equation in vector form given by = [a, b, 3] + s[a, c...

A: The vector equation of plane P is given below. X=a,b,3+sa,c,2+tb,c,1 Here the plane P is parallel to...

Q: onsider the series (In(2n + 1) - In(2n 1)). n=1 ) Let an = In(2n + 1)- In(2n - 1). Does {a,} converg...

A: We will first see whether given sequence in (a) convereges or diverges.

Q: Consider the series (In(2n + 1) – In(2n - 1)). n=1 In(2n +1)-In(2n - 1). Does {an}1 converge or dive...

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Q: Below is a diagram of the dotted cube with edges of length 3. Suppose vectors u = (3,0, 0), v = (0, ...

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Q: • Problem 3. Let a,b ɛ R, with a < b. With B[a,b] as above, define ||f|l:= sup{|f(s)| : 8 € [a, b]} ...

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Q: Problem 2. In Fig. Prob_2, determine the ratio a/b for which i = y Fig. Prob_2

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Q: Given that AABC was mapped to AA'B'C' using a single transformation. a) Why couldn't this mapping ha...

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Q: Solve dx- dy

A: Here we can use variable separable method to solve the given differential equation. This method is a...

Q: Determine whether the following sequences can be described by a polynomial, and if so, of what degre...

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Q: Formulate one given 3x3 equation (3 equations and 3 unknowns) and one given 4x4 equation (4 equation...

A: We can solve this by using given information

Q: Solve the differential equation: dy/dx=cos(x+y) when x=0, and y=pi/4

A: Solve the differential equation, using substitution method

Q: dy 12. (1 + x) dx xy = x + x²

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Q: When solving the system below with Laplace transforms, what is the partial fraction expression that ...

A: Laplace transferom

Q: An island is colonized by immigration from the mainland, where there are 500 species. Let the number...

A: Given: dydt=0.02500-y12, y(0)=10 and h=0.5 To find: Value of y when t=5.

Q: Let n e N. Find all elements fa] e Z of order 2.

A: