3. Find the Fibonacci number using the Golden Ratio when n = 28.

Q: Is the equation y-4x²=36 represents y as a function of x?

A: yes the given equation represents y as a function of x given that y - 4x2=36 y = 36+4x2=4(x2+9)

Q: Use Prim's algorithm to compute the minimum spanning tree for the weighted graph. Start the algorith...

A: Algorithm 1) Create a set mstSet that keeps track of vertices already included in minimum spanning t...

Q: S5x sec?x dx 5.

A:

Q: Solve the following Integral Equation: -t + x(0) = 3

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Q: 8. Determine the stability of i = 1 01 x and sketch its phase portrait. 2

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

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Q: What is L - 2s +3| ? 5s² – 10] A. -2cos 2t –3.sin 2t 8. cos ār -sin v31 sin 3t 3 C. cost --sint 2 D....

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Q: dy xe*-2y, given y(2) = 0. b) dx

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

Q: Evaluate the inverse Laplace transforms of the following: 2 1 4 1. s+9 S- 5 20 2. E 1 [s+3 5s –3

A:

Q: Evaluate Ln(-5.3-j2.4) O 4.3143 +j1.0541 O 1.7610 – j2.7164 O -1.2232+ j1.9883 O -2.6170 - j3.5246

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Q: 1. Suppose it is known that a quantity z varies directly with a second quantity x and inversely with...

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Q: Solve the following first order differential equations: (xy – 2x? )dy - (y + 2xy)dx = 0.

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Q: 2 4. Given f(x) = mx +n , g(x)=9– x+1 2 and fg(x) =15 – 2 x+1 determine the value of m and n .

A: To determine the values of m and n. 

Q: »4-x² 1-y- xe?y dy dx 4 - y (b) Ln(a² + y? + 1) d dy (a) 0, /1-y²

A:

Q: 1+3i 5. Evaluate 1-41

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Q: 2. Let u e Rm and v e R" be two non-zero vectors, in other words at least one component of the vecto...

A: Given : u∈ℝm and v∈ℝn are two non-zero vectors, A=uvT∈ℝm×n (a) Suppose u2=1 and v2=1, then show that...

Q: Exercise 10. Is the set of all finite sequences of 0s and 1s countable? Justify your answer. Exercis...

A:

Q: 2. Find the volume of the solid that results when the shaded region is revolved about the indicated ...

A: Volume bounded region about x-axis and y-axis

Q: 2. Let X, Y be nonempty sets of real numbers that are bounded above. Let X + Y = {x + y:x € X and y ...

A:

Q: Determine whether the two given statements are equivalent. (YES or NO 7. -P v-Q and P^~Q Answer: 8. ...

A: We have to make truth table for both statement ,If for same input truth value of  both statement are...

Q: Let ?: Hwi win the first round and ?: Hwi win the tournament. a. Write “Hwi wins the tournament onl...

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Q: ot all lie on the same straight line. be the midpoints of the line-segments BC, AC, AB at with posit...

A: Introduction: A position vector is a vector that indicates the position or location of any given poi...

Q: Find (f/g) (n) when f(n) = x^2 - 3x - 4 and g(n) = x + 1 _____________________ A. x + 2 B. x - 1 C. ...

A:

Q: M9GE-IIle-1 Solves problems involving Parallelograms, Trapezoids and Kite. АСTIVITY 2: Read each ite...

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

Q: a.) = y° (4 – y²) - b.) y' = y In(y+ 2) %3D c.) = (ye" – 9y)/e" -

A:

Q: ee2 +eezz where: Zį = 2 + 3i Z2 = 4 – 2i

A: Here we can use Euler's formula, which states that eix=cosx+isinxande-ix=cosx-isinx

Q: Exercise 4. Prove that if f : A → B and g : B → C are bijective, then (gof) : A→C is bijective. then...

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

Q: 5. ( sin (7x) cos'(x) dx sin'(x) dx 6. /2 7. cos'0 de 8. Jo sin (20) de

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Q: find the surface area of a the cap that is cut from the sphere x 2 + y 2 + z 2 = 3 by the cone z =s...

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Q: Solve drc dt dy dt 200 +

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Q: 1. Find the area of the shaded region. X = -y Ay 3 y = Vx x = 2 - y X X 4 -2 2 y = -x b. а.

A: Area bounded by the closed region

Q: Consider the graph G given in figure below. Prove or disapprove that the graph is Euler? Hamilton? a...

A: Given graph G is Take the graph G

Q: 7. Solve the equation. log2(x + 2) – log2(x + 4) = log2(x- 3)

A: To solve log2 (x + 2) - log2 (x + 4) = log2 (x - 3) We use the following property of logarithm loga(...

Q: (5) Use the expansions (Maclaurin series) 1 (1) Ew", w| < 1 1- w n=0 1 (2) E(-1)"w", w|<1 1+ w n=0 t...

A:

Q: II. Select the statement that is EQUIVALENT to: "I call Dan or Eva." a. If I call Eva then I do not ...

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Q: . Irrational Prove using a proof by contradiction that the product of a nonzero rational number and ...

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Q: J 2 +1 3) The solid S obtained by rotating the region below the graph of y -1 about the x-axis for 1...

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Q: 2. Let u e R™ and v E R be two non-zero vectors, in other words at least one component of the vector...

A: Given: Let us consider the u∈ℝm and v∈Rn are two non-zero vectors and assume A=uvT∈ℝm×n. a) Presume ...

Q: Assign AB//FG, BD//GI, DE//IJ, EA//JF. and C, H are the intersections of the diagonals of the square...

A: Given: Using the scalar product of the three vectors, calculate the volume of a given solid figure.

Q: write 3 fractions greater than half, but less than one.

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Q: Determine whether it is possible to express 1 as a liner combination of 1 = m· 44 + n· 91 ,. for som...

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Q: 2. Find the volume of the solid that results when the shaded region is revolved about the indicated ...

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Q: How long is the radius of the circle x2 + 2ax + y? + 2by = 0 ? Va? + 62 units Va + b units O a? + b2...

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Q: Exercise 3.2.17 State whether each of the following statements is true or false and give a brief rea...

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Q: 3. Use cylindrical shells to find the volume of the solid generated when the shaded region is revolv...

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Q: 3. Let W be a subspace of R" of dimension k < n. Use the Fundamental Theorem of Linear Algebra to pr...

A: We will solve Q 3 as requested. Given that W be a subspace of ℝn of dimension k≤n. Since W is a subs...

Q: 2 Let / be the line through the point with coordinates (-1,1,0) in the direction of the vector 1 Whi...

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Q: Simplify each by combining like terms: A) 5x +3 + 4x - 2 = B) 5x2 + 6x + 2+4x2 - 2x + 1= C) Advanced...

A: Please find attachment for the details solution

Q: 8- For the function x'+4x2+ax-4, the remainder when divided by (x+2) is twice the reminder when divi...

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Q: SHOW COMPLETE SOLUTION AND CHECKING 1. Find two numbers whose sum is 12. The sum of their square is...

A: