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Q: Given the sequences 27, 9, 3, 1, .. and the first term listed is ao. Find: a. The recurrence relatio...

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Q: Given the explicit definition: tn = 3" - 8n, find t7.

A: Given that:  tn= 3^n -8n

Q: In AHIJ, the measure of ZJ=90°, IJ = 47 feet, and HI = 68 feet. Find the measure of H to the %3D nea...

A: Given that IJ=47 feet    , HI=68 feet Now by Pythagoras theorem , HI2=IJ2+JH2 Therefore the length o...

Q: An) = n and each bit operation is carried out in 10 -11 seconds Multiple Choice 10.3 · 107 860 · 101...

A: Given that f(n)=n^2. Each bit operation is carried out in 10^-11 seconds.

Q: Let T be the triangle in the xy plane enclosed by the line y = 22 x and the -axis between x = 0 an x...

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Q: Find parametric equations for the line segment joining the first point to the second point. (-7, - 8...

A: Let us assume the first point as r0 and second point as r1 , that is , r0=-7,-8,4r1=-9,6,-4 Firstly ...

Q: Please show complete solution.

A: Given that A+I=3-241       where I=1001               - (1) Therefore matrix A is  A=3-241-I=3-241-1...

Q: Find the exact value of cos A in simplest radical form. В 10 5 C А V75

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Q: Given the matrix

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Q: What is the golden section (golden ratio)? Small summary or conclusion about it

A: Consider the provided question, The golden ratio is the ratio of a line segment cut into two pieces ...

Q: 1. Find the measures of the following to the nearest tenth of a degree. 15 cm 8cm а. HT b. 2T 2. Wha...

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Q: A2. a. Let m=7. How do you find the inverse of all integers from 1 through 6 using the multiplicatio...

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Q: The position of a particle is described by the function f (t) = t – ť² + 6t + 1. Consider the initia...

A: The position of a particle is described by the function  ft=t33-52t2+6t+1                (i) At t=0,...

Q: Find a basis for the subspace of R3 spanned by S. S = {(5, 9, 9), (1, 3, 3), (1, 1, 1)} STEP 1: Find...

A: Given: S = (5, 9, 9), (1, 3, 3), (1, 1, 1).

Q: Help plz

A: Let number of batches of cookies =c and the number of batches of brownies=b Total Number of batches ...

Q: In circle N with MZMNP= 48 and MN = 16 units find area of sector MNP. Round to the nearest hundredth...

A: Area 

Q: Prove the following statements using direct and indirect proof methods. a.) For all integers a, b, c...

A: a.) For all integers a, b, c, the product (a−b)(a−c)(b−c) is even. The differences of any two even n...

Q: Will AB = BA always be true when A and B are nxn diagonal matrices? Explain why/why not Will AB = BA...

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Q: For each of the following pairs, indicate whether the first number is "greater than" or "less than" ...

A: Relation between mL and L:  1 L = 1000 mL. Relation between cm and m : 1 m = 100 cm. Relation betwee...

Q: (1 point) The solution of a certain differential equation is of the form y(t) = a exp(7t) + bexp(10t...

A: We ae given : y(t)=a exp(7t)+b exp(10t) ⇒y(t)=ae7t+be10t We are given y(0)=4 ⇒4=a+b --(1) Now, y'(t)...

Q: For each matrix, consider the corresponding system of linear equations. How many free variables are ...

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Q: In a friend group of six, how many ways can we arrange them in a line for a photograph?

A: In a friend group of six, we have to arrange them in a line for a photograph.

Q: The area of a circle is 100A m2. What is the circumference, in meters? Express your answer in terms ...

A: we are given the area .  to find perimeter.

Q: Find the exact length of the third side.

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Q: consider the sequence  1, 1/2 ,1, 1/3 ,1 ,1/4, 1,.........  determine the limit superior and limit i...

A: Given sequence 1, 1/2 , 1 , 1/3.. The limit superior is 1. As every number of sequence < 1+k for ...

Q: The credit remaining on a phone card (in dollars) is a linear function of the total calling time mad...

A: The credit remaining is a linear function of the total calling time made with the card. Linear equat...

Q: what is the fourier series of f(t)=e^abs(t) -pi<t<pi

A: The function f(x) in trigonometric Fourier series on interval [ - k, k] has the form: Fourier series...

Q: Given the matrix

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Q: 1. Prove that the negative of any even integer is even. 2. Prove that the difference between an even...

A: "Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts f...

Q: I need an answer

A: Answer 

Q: Partner each expression with an equivalent expression to make an identity equation. Then classify th...

A: answer 

Q: If (a, 42) =1, then a^6-2=?mod 168 1 -1 None of these

A: Just apply the Fermat's Theorem.  

Q: B1. b. If f(x) = 14x5 – 9x4 + 7x2 + 4, find the reminder when f (24) is divided by 5.

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Q: Find the equation of the plane that is parallel to the vectors (2,0,2) and (0,1,3), passing through ...

A: Solution: The objective is to find the equation of the plane that is parallel to the given vectors a...

Q: Write the standard basis for the vector space. M4,1

A: Let the vector space M4×1(R) be  M4×1=abcd: a,b,c,d ∈R Now,  M4×1=a1000+b0100+c0010+d0001: a,b,c,d∈R...

Q: A5. a. In the following graph extract: Simple Graph, Not-Simple Graph Complete Graph, and 2-Regular ...

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Q: The circumference of a circle is 117 cm. What is the area, in square centimeters? Express your answe...

A: Given that the circumference of the circle is = 11π cm Let the radius of the circle be = r cm. The c...

Q: d²y dy dt + 81y = 0, y(0) = 9, y' (0) = 3 + 18- %3D %3D dt?

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Q: 3. Represent composite functions as composition of two elementary functions a) y = 2sinx. b) b) y = ...

A: Hello, thanks for your question but according to our policy I am answering the very first question ....

Q: a) Sketch the region R bounded by y = x² +3, x-axis, x = 1 and r = 2. Find, %3D (i) the area of the ...

A: NOTE: According to guideline answer of first question can be given, for other please ask in a differ...

Q: Find the equation for the plane through Po(6, – 3,7) perpendicular to the following line. x= 6+t, y ...

A: Given equation of the lines are, x=6+t, y=-3-5t, z=5t The given equation of the lines can be written...

Q: What is the integration factor of the following differential equation? xy '+ (1 + x) y = e¯x

A: Write in the form y'+p(x) y=f(x) and use the formula for integrating factor 

Q: let (X,T) be a topological space. Then a function f is continuous at x0 element of X if and only if ...

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Q: Find the absolute maximum and minimum values of f(r;y) = r² + 2y – y² on the upper half unit disc D ...

A: Given function is fx,y=x2+2y-y2

Q: Advanced Math Question

A: We Know that an abundant number or excessive number is a number that is smaller than the sum of its ...

Q: In circle M with M2LMN = 84 and LM = 13 units find area of sector LMN. Round to the nearest hundredt...

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Q: A1.  How many integers, greater than or equal to10000 but less than or equal to 39999, can be formed...

A: 1. if repetition is not allowed the number starting from 1  first place can be filled in 1 way, for ...

Q: Consider the Taitral value problem b-)y (0)=1 what con you say about the existence ond uniqueress of...

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Q: Hi I need this asap pls

A: The formula for area of surface generated by the revolution of curve y=f(x) , a≤x≤b about x-axis. S=...

Q: A4. Consider the Graphs A and B, determine whether they are isomorphic or not. Give reasons. 2. Grap...

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.