- Using any results from the course material, find the following limits: sin(x? – 9) а. lim x-3 (x2 - 9) 3 sin(Tx) + x - 3 b. lim 2-3 3 cos(Tx) + x² – 2x

Q: DIfferentiate y °x² - cas ķ sin x+ e vinx = 1 %3D DIfferentiate eln x3, find y!

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Q: 5. Find the centroid of the solid formed by revolving the area between the curves: y? = x and y = 2 ...

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Q: 7. You must explain your reasoning. Consider the following radial vector field F: (a) Is Fa conserva...

A: The complete solutions are given below

Q: what number is 25% of 512?

A: 25% of 512 is 512×25100 = 512×14 =128

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A: Let  A  and  B are two sets. We need to prove that ,  A ∪ B = A ∩ B¯. We know the property that , if...

Q: 1. -5?/20

A: This is a problem of complex analysis.

Q: Let U= {1,2,3,4,5,6,7,8,9,10,11} A= {3,5,8,11} B= {2,5,6,7,8} C= {1,3,5,6} D= {3,4,6,7,8,10,11} Find...

A: Given sets are U= {1,2,3,4,5,6,7,8,9,10,11} A= {3,5,8,11} B= {2,5,6,7,8} C= {1,3,5,6} D= {3,4,6,7,8,...

Q: record the following data in a bar graph and lebel the graph. twelve people surveyed about  their fa...

A: A bar graph is a pictorial representation of the data using strips or bars. There are generally two ...

Q: Let e be a positive real number. Prove or disprove that n E N(n²+e).

A:

Q: The ideal gas law is given by:PV = nRT. This equation is only accurate for a limited range of pressu...

A: The ideal gas law is given by the formula PV=nRT. Where, P is the pressure, V is the volume, n is th...

Q: Given a period function f(x) with a period p 4, (0, f(x) = {k, (0, -2 < x<-1 -1 < x <+1 +1< x < +2 (...

A: Fourier series

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Q: - Find the solution u(x, t) of uz = conditions u(0, t) = 3 and u(1, t) = 2 and the initial condition...

A: Here, we are given the following system.       uxx=14ut, 0&lt;x&lt;1, t&gt;0u(0, t)=3u(1, t)=2u(x, 0...

Q: Exercises: Classify the follauing e quations. ( 0DE, PDE, order, linearity) ') yol + 2e*y" +yy'= t",...

A: As per our guidelines, we are supposed to solve only first three subparts. Kindly repost other subpa...

Q: 13 Find NK. 14 Find mMK. Use the circle below for questions 13-16. 15 15 Find JK. 16. Find mJPK. © G...

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Q: Use technology to maximize the following. You may round answers to 2 decimal places if desired. Maxi...

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Q: For numbers 6 – 10: Using least squares approximation, let us find the linear and quadratic interpol...

A: The normal equation for y=ax+b can be written as ∑y=a∑x+bn and ∑xy=a∑x2+b∑x, where n is the number o...

Q: A musical scale has 12 half-tones that correspond to the 12-hour clock. What note is 6 half-tones ab...

A: Solution:- as per guidelines I submit first question only

Q: Marisa leases a car that has a purchase price of $63,500 with an MSRP of $66,950 and decides to leas...

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Q: Determine if the function satisfy the Cauchy-Riemann equations. 1. f(z) = z? 2. f(z) = cos (z) 3. f(...

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Q: 1. Draw the region Ni = {(x, y) : 0 <x<1:1-r<y < 2 – (x – 1)2}U {(x, y) : 1 < x < 2 :x –1<y<2 - (x –...

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Q: Binomials Show your work and briefly justify. 1. Give two integers a and b so that the following equ...

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Q: Compute the determinant using a cofactor expansion across the first row. Also compute the determinan...

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Q: Consider the sequence 5, 10, 15, 20, ..., 5n + 5. a. How many terms are there in the sequence? Your ...

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Q: transforming quadratic function into standard form, identify the value of a,h and k y = 2x2 - 4x + ...

A: Introduction: A quadratic function can be generalized as y=ax2+bx+c Geometrically, it represents a p...

Q: Let f, g, h : N→ R²0. Prove or disprove that if f + g € O(h), then ƒ e O(h) and g E O(h).

A: Given f,g,h:ℕ→ℝ≥0 such that f+g∈Oh. We know that f∈Oh, if h is strictly positive for all large value...

Q: What will be the sum of all numbers in the neighborhood matrix of graph G? For n∈N we define the set...

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Q: Exercise 8. Let u = (1, 2). Find a nonzero vector v E R² perpendicular to u. Show how to express any...

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Q: . Use a two-column proof to prove the equivalence below -(PV-Q) v (-P A-Q) = ¬P

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Q: (a) give an example of a simple mathematical argument that is valid and sound. (b) prove its validit...

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Q: QUESTION Given p(x)=x-3 and &, = 0.01. a) Obtain the root of p(x) using False Position and Bisection...

A: Given : p(x)=x2-3

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A: Please upload multiple questions separately.Additional Activities (Critical Thinking)1. The slope of...

Q: How many pieces of wire, each 200 mm long, could be cut from a 10-meter coil?

A: We know that, 1 meter= 100 centimeter  And 1 centimeter= 10 millimetre  Therefore, 1meter= 100×10 mi...

Q: Part 4. Prove the following mathematical statements, Let n be any integer. a. If n – 1 is odd, then ...

A: The given problem is to prove the given following statements. With given n is any integer.

Q: b. Recall that f(x) = 2*-1 -1. Graph of f(x) = f(-x) + 2, f,(x) = f(-x+1) + 1, and f(x) = fi(x) + f2...

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Q: Find x such that the matrix is singular. A = -3 -2 X =

A: Given A = 6x-3-2

Q: Prove that if æ is a positive real number, then

A: To prove that if x is a positive real number, then                               x=x

Q: The A-Plus auto parts store chain has two outlets, one in Manila and one in Laguna. Among other thin...

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Q: Part 4. Prove the following mathematical statements. Let n be any integer. a. If n – 1 is odd, then ...

A: a. It is given that n-1 is odd.

Q: 3. A bag contains 8 red, 6 blue and 4 green marbles. In how many ways can these drawn be made: a. 6 ...

A: The word combination is required when there are no order fro selection. The total number of marbles ...

Q: Prove that (p – q)× (p+q)= 2(p×q)

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Q: 10x + 15y - 13z = 65 7x-3y+8z =104 -5x+1x+5y+2z+9z = 25 Using Gaussian Elimination Method.

A: To solve the below system of equations using the Gaussian Elimination Method. 10x+15y−13z=657x−3y+8z...

Q: 4. Assume that consumers value a high quality piece of furniture at 5000 and a bad quality one at 30...

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Q: A 3 foot wide painting should be centered on a 13 foot wide wall. How many feet (x) should be on eac...

A: The wall is 13 foot wide and the painting is 3 foot wide. So, the wide length other than the paintin...

Q: 3. a) Find the percentage error in computing u = Vx at x = 2.45, when x is 4 b) | If Ax = 0.005, Ay ...

A: We will use basic concept of errors analysis here  

Q: 1. The four sides of a square plate of side 12 cm, made of homogeneous material, are kept at constan...

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Q: State whether each statement is true or false. _____1. The smallest negative is -1 _____2. The large...

A: In this question we have to state that the give statements are true or false.

Q: Problem 11 (a) Let X and Y be normed linear spaces and T: XY a linear operator. Prove: T is not boun...

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Q: The handle of a newly manufactured skillet pan, which is of length 6 inches, has a perfectly insulat...

A: In part (a), we form the initial and boundary conditions from the given data in the question. In par...

Q: Determine the Fourier coefficients and represent the periodic function as shown by a Fourier series.

A: