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Q: ve that the are lengh - loj secx from

A: Introduction: The formula for the arc length for the curve y=f(x) from a to b is given by, L=∫ab1+(f...

Q: Solve the following  complex numbers in their rectangular form. Use the given formula and use 4 deci...

A: Evaluate Tan-13.0642+2.5712i using the formula Tan-1z=12iln1+iz1-iz. Let z=3.0642+2.5712i. Find 1+iz...

Q: a) Define a mapping T:R* → R³ by [2а — b] =|b+c c+d T i) Determine whether Tis a linear transformati...

A: i)Tabcd+efgh=Ta+eb+fc+gd+h=2a+e-b-fb+f+c+gc+g+d+h=[2a-b+2e-fb+c+f+gc+d+g+h]=[2a-bb+cc+d]+[2e-ff+gg+h...

Q: anr" and n'a,r" have the same radius of convergence (finite Prove that the series or infinite).

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Q: Obtain the inverse Laplace transform: s-4s +12s+24 (s-2) (s²+16) O t'e + cos 4t e 2 (cos 2t – 2t) O ...

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Q: Determine whether or not the given set of functions is linearly independent on the set of all real n...

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Q: 3. Let d(x, y) := |2 - 2| for x, y E R. . is a metric on R. Show that (R, d) is not a complete metri...

A: Cauchy sequence: A sequence x1, x2, x3, ... in a metric space (X, d) is called Cauchy if for every p...

Q: Find a finite difference approximation of Cf(x) + Df'(x) using the points f(x – h), f(x), and f(x + ...

A: Let f be any function defined on a vicinity of the fixed x , and let h > 0 representing apositive...

Q: 2 has a X 2 X

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Q: – 21 and A8 = XÃ + yI

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Q: Find the inverse Laplace transform 3s +1 b) s(s? +1)

A: We need to find Inverse Laplace of ,  Fs = 3s + 1ss2 + 1 First we need to Partial fraction of  F(s)....

Q: (mp + mp)V = (mẸ + mp)V¢cOS & = mf(V)F + mp(Viz)p = mgVg COs0 + mpVp (mp + mp)Vy = -(mp + mp)V¢sin o...

A: From the given equations we have,mF+mPvfx=mF+mPvfcos∅       ...........(1)mF+mPvfy=-mF+mPvfsin∅     ...

Q: What is the simple interest to the nearest cent on a credit card balance of P1,150.00 at 11% interes...

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Q: The maximum and the minimum values of the function f(x, y, z) = x + 2y + 2z subject to the constrain...

A: Given, f(x, y, z)=x+2 y-2 zSubjubed to the constraintg(x,y,z)=x2+y2+z2-9=0The gradient vector of f&a...

Q: 7 Express in partial fraction form, hence find the summation of the series, r(r+ 1)(r + 2) 7 Σ r(r+ ...

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Q: 1. Determine the incidence matrices of the graphs below. b) а) a (b a (bo w g

A: Since you have asked multiple questions, we can solve first question for you. If you want other ques...

Q: e of f(3x

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Q: If inflation causes the cost of automobiles to increase by 3.5% each year, what should a car cost to...

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Q: Vrite the first five terms of the sequence: +oo Vn2 + 7n – n}n=1 Determine whether the sequence conv...

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Q: In n

A: Given as, an =Innn3

Q: E Evaluab.ff.xdA. .quadrant..bounded.b.xy=16.

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Q: int of a = is

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Q: 4. Let A be a square matrix. (a) 1² is an eigenvalue of A² with the same eigenvector, v. Show that i...

A: we are given that λ is an eigenvalue of Aand correspoinding eigenvector is v,we have to show that λ2...

Q: 2. Prove: "The size of every bipartite graph of order n is at most ". Provide an 4 illustration and ...

A: To prove that size of every bipartite graph of order n is at most  n24

Q: 1. The Onato Company produces chairs, lamps and tables. Each chair requires 6 minutes in machine cen...

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Q: 17. The area of the surface obtained by rotating the curve y = v = v16 – x², -1 <x< 1, about the x- ...

A: Area of the surface obtained by rotating the curve about the x-axis= S=2π∫aby1+(y')2dx =2π∫-1116-x21...

Q: Draw projections

A: The question post explicitly on the top (in the text form) mentions to "Draw projections". So, we ta...

Q: Part 2 Locate the first nontrivial root of sin x = x² where x is in radians. Use Regula-Falsi with t...

A: Given: sinx=x2, where x is in the radians, therefore, let f(x)=sinx-x2. Calculate f(x) at various va...

Q: Q5) Describe the Null A by listing the vectors that span the Null space. 135 0 A= 014 -2

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Q: What is the standard basis of a skew-symmetric matrix?

A: To give the standard basis of a skew-symmetric matrix.

Q: HoWe By the Same way prove that s X Jr (X) ノ+1

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Q: Answer the given problem. 1. Annie bought one dozen smartphones for P200,000.00 with a discount of 5...

A: Given Total cost =  P200,000 Discount = 5% Sold half dozen smartphones at a price = P18,000.00 per u...

Q: 5 If g(1) = 4, g(5) = -7, and | g(x) dx = -8, evaluate the integral ag (x) dr. Answer:

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Q: Solve y(H) a) Y (6) = y (4) = ? %3D b) y"-y' • 24 ylo)=1;y'(0)=-2 %3D

A: We have to find the solution y(t) from the following  a) y(s)=1s2(s2+1) b) y''-y'=2t, y(0)=1, y'(0)=...

Q: 2 4 X' = -1 6/

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Q: 1. Let ƒ be a continuous function on R such that f(q) = 0 for all rational numbers q E Q. Prove that...

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Q: Let f, g and h be R- R functions, f(x) = 2x - 1, g(x) = 3x+1, and h(x) = x +1. Compute the following...

A: I will solve all three subparts for you and provide detailed answers.

Q: 1. A primitive Pythagorean triple is an ordered tripe of integers (x, y, z) such that x² + y? = z?, ...

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

Q: The concentration, C in parts-per-thousand (ppt), of a pollutant in a river during the manufacturing...

A: First we will find k from given data . Then use differentiation to find rate of change of concentrat...

Q: Evaluate -q -(~q→-p) using the table below: b. T. T F. T. F F TFTT TTFF Tautology O TTTF Self-contra...

A: The given problem is to find the truth values of the given compound preposition. Given compound prep...

Q: The Hudson Plains ecozone contains most of Canada's 1 of the area of 26 wetlands. This ecozone cover...

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Q: Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = In(...

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since th...

Q: 2. Find [a* dx.

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Q: The matrix for changing coordinates in the Euclidean basis for C4 into coordinates in Cthe jden ot u...

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Q: 31 Find the LU of A = 4 [-2 5 -1 3 %3D

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Q: The solution of y'y = 2 is a relation that is not a function. %3D a Find the general solution of the...

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Q: [0 0 0] Let A 1 4 Lo 2 3] a) Find the eigenvalues of A. b) Find a nonsingular matrix P and a diagona...

A: given A=000014023 a) find the eigenvalues of A b) find a nonsingular matrix P and a diagonal matrix ...

Q: C along with the following operations defined: (a1, a2) + (b1, b2) =(a1 +b1 + 1, az + b2 +1) C • (a1...

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Q: Solve the following  complex numbers in their rectangular form. Use the given formula and use 4 deci...

A: Given csc-1(-2.0807+4.5465i)               (1) We have given formula is Csch-zz=ln1+z2+1z           ...

Q: 3. Find the general solution of (1+x²)y' + xy = x-1(1 +x2)-/2

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