6+ f(x) Use the graph of f(x) to evaluate the following: 5 6 tolt The average rate of change of f from x = 1 to x = 4 is Give your answer as an integer or reduced fraction. Question Help: D Video M Message instructor Submit Question 2

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: 7, SHOW THAT FOR EVERY 2x2 DETERNINAAT ANO CONSTANT K THAT! det (KA) = K²det lA)

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A: Note:- As per our guidelines, we'll answer the first part of this problem as all the parts are diffe...

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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: 8. Let f(x, y) = cos(y – x) and r(t) = (e', e2t). Find if (r(t)) at t = ln(3).

A: The solution is given as  

Q: 2x, - x, + 3x, = 24 2x2 - x, = 14 7x, - 5x2

A: According to Gauss-Jordan Elimination method first we will write the given system into augmented mat...

Q: 10. Determine the length of a to the nearest whole number. 9 a 26° 18

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Q: 10. A factory produces two agricultural pesticides, A and B. For every barrel of A, the factory emit...

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Q: Let X be a set and {Ya|a E A} an indexed family of sets. Prove that X U (Naea Ya) =Naea (X U Ya).

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Q: 7. Solve the initial value problem: dy + y = 0, y(7/3) = 0, y'(T/3) = 2 d02

A: Given the differential equation is d2ydθ2+y=0, yπ3=0, y'π3=2

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A: Given  P = $100, 000 FV = $2, 000, 000 r = 0.30 t = 5 years

Q: Exercise 3.2.3 Show that Zg under addition is isomorphic to Z; under multiplication.

A: We know that, Z6 = {0, 1, 2, 3, 4, 5} and Z7* = {1, 2, 3, 4, 5, 6}. A group isomorphism is a functio...

Q: Express the function below in rectangular form, (-1+i)-1+i

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Q: Answer Directly Choose the letter that corresponds to your answer Given: Let p. q. and rbe the propo...

A: We know,  A truth table is a mathematical table. It consist column for each input variable and one f...

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Q: for the function f(Z) z²-2z find the (z+1)° (2 t4) residues at singular points.

A: The residue of f(z) is solved below 

Q: The general solution of æy" + xy' +(3x² – 16)y = 0 for a > 0 is Y = OCiJ/5 (4x) + c2J_va(4x) None of...

A: The Bessel's equation of order ρ is given by  x2y''+xy'+x2-ρ2y=0  Then the general solution of the B...

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A: Given:  6. dxdy+y2x=siny7. dxdt+dydt=18. ∑i=0nai(x)d(i)ydx(i)=f(x), where d0ydx0=y9. 3xy'+xz''-yz=0y...

Q: (b) Consider yı and y2 as two solutions for the following DE where yı = x-1 and the Wronskian of the...

A: b Given differential equation is y''+pxy'+qxy=0.......1. And y1, y2 be the two solutions of the give...

Q: cients type and homogeneity. State the in no 2. azu(x.y) azu(x.y) 4. – 0, ax2 ду?

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want...

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Q: The integral that represents the length of the curve 7(t) = (t, cos (2t3/2), sin (2t3/2)), where 0st...

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

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A: Given: Let's find all of the equilibria of the continuous-time dynamical system x˙=cosx, x∈ℝ.Draw tr...

Q: Consider the following Linear Program: (1 1 1 1 0 2 1 02 20 0 -2 1 1 2 15 4 max 1 1 1 1)x 1 1 subjec...

A: The given linear programing problem is: max 1111111x Subject to: 11021102200-2121543113x=226x≥0 Let ...

Q: (еxp(-ах) when |x| 1 1

A:

Q: Question 7. Find the equation of the tangent line to the curve y = e²- I +1 at r = 0.

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Q: R The graphs of the polar curves r= 2 and r= 3+ 2cos e are shown in the figure above. The curves int...

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Q: 6x + 24y + -72z 96 14x 56y + -168z = 224 -20x + -80y + 240z = -320 The augmented matrix for the abov...

A: Given system of linear equation is 6x+24y−72z=9614x+56y−168y=224−20x−80y+240z=-320..........1 Now, w...

Q: - Solve the following initial value problems. ry' = x* – 2y, y(1) = 0.

A: The solution is given as  

Q: A. Read each item carefully. Choose the letter of the correct answer. Write your answers on your ans...

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

Q: (-1+i)-1+i

A: The given problem is to evaluate and simplify the given complex expression and express in rectangula...

Q: ion, PRINCIPLE OF MOMENTS (VARIGNON’S THEOREM), MOMENT OF A FORCE, Applications of the cross produc

A: The figure as,

Q: 2. On his fishing trip Justin takes the boat 12 km south. The fish aren't biting so he goes 4 km wes...

A: Let us consider a right angle triangle ABC Using Pythagoras theorem, AB2+BC2=AC2

Q: (유) 8 Find the EXACT value of sin(A + B) if angle A is arctan and angle B is arcsin 17 sin(A + B) -

A: Given ∠A=arctan43 and ∠B=arcsin817. We have to find the exact value of sinA+B. Use formula, sinA+B=s...

Q: What is the value of 322 + 72 +1 z+1 zp-

A: By Cauchy integral theorem, if a function is analytic with in and on the boundary of a simple closed...

Q: Consider the following Linear Program: (1 1 1 1 1 1 1) x 1 1 0 2 1 0 2 2 0 0 -2 1 1215 4 max 1 1 sub...

A: Since you have asked multiple question, we will solve the first question for you. If you want any sp...

Q: sin t 0<I< 2n

A:

Q: 20 1 s+3 5s-3

A: The solution is given as  

Q: 2. Given p = 2' and q = 2', express log, p'q in r and t terms. 64

A: Given

Q: 7. The sine of an acute angle, 0, in standard position is What is the value of tan 0? a. 3 4 с. 4. 3...

A: We can solve this using formulas of Pythagoras and tan theta

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

A: Given ∂x∂t=-t+∫0txtdt with x0=3 We will solve the differential equation using Laplace transform