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Q: show that(2+i, 1+i) is not a complex scalar multiple of (3+2i,4+i)

A: What is Complex Number: A complex number is the extended number system. This number is of the form…

Q: Prove that 1-cos2x+sin2x 1+cos2x+sin2x = tan x

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Q: 2. Sketch a graph of y = cos x and y = − cos(2x − n) + 1 for 1 full cycle. -

A: What is a Cycle: Cycle is important in trigonometric functions. When a trigonometric function…

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A: If x approaches a from the right hand side, then it can be denoted using the limit: limx→a+. If x…

Q: Which number is equivalent to ? 34 A B C D 2 9 81 729

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Q: EX. Question 1 Alphabet (Capital / small letters in Black Bold al Phobet). IA a IB

A: Q-1 alphabets (capital / small) in black bold Aa Bb Cc Dd Ee Ff Gg Hh Ii Jj Kk Ll Mm Nn Oo Pp Qq Rr…

Q: Show that the following gn are harmonic and find its conjugate u=3x^2y+2x^2_y^3_2y^2

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Q: 1. show that every simple finite graph has two vertices of the same degree. 2.prove that the degree…

A: Disclaimer:  Since you have asked multiple question, we will solve the first question for you. If…

Q: Liva's Lumber, Inc., manufactures three types of plywood. The following table summarizes the…

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Q: determine if the geometric series converges or diverges.  If a series converges, find its sum.…

A: Given series, 110+1102+1103+1104+1105+… To find: The geometric series converges or diverges.  If a…

Q: Let A = 10-2 0 44 and b = -28 2 5 12. Denote the columns of A by a₁, a2, a3, and let W = Span (a₁,…

A: A=10-204-4-282 and  b=512-10 Lets denote columns of A as below a1=10-2, a2=048, a3=-2-42 Let…

Q: Find the solution of the equation a²z a²z + Әх? ' дуг which tends to zero as x→∞ and has the value…

A: Given: The equation is ∂2z∂x2+∂2z∂y2=e-xcosy. Also, the given equation tends to 0 as x→0 and its…

Q: 16. Suppose f(x) = x² and g(x) = 56 - x. What are the x-intercepts of the graph of y = g(x) = f(x)?…

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Q: 23 The value of cot Scot Scott n=1 (a) 23/25 (b) 25/23 (c) 23/24 n 1+ Σ2k k=1 is (d) 24/23

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Q: Find the first four nonzero terms in a power series expansion of the solution to the given initial…

A: The initial value problem is provided as: 6y'-2exy=0;   y(0)=2. The Taylor series expansion of y(x)…

Q: 2. 3) Suppose the demand function of a candy business (Qa) is given by Qa = 1000 e-0.2P where: P =…

A: Hint: The revenue function is price per unit times item produced and sold. hence, here…

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A: Given resource material data Raw Material→ Product ↓ P Q R A - 20 50 B 20 30 - C 30 20 40…

Q: b) Graph the following trigonometric function for the interval 0 ≤ x ≤2: y = 2 sin(x)

A: Sol:- Before plotting , some information about graph :- Periodicity of 2sinπx:  2Domain of  2sinπx,…

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A: From the given statements option "d"  is true statement according to the equations...

Q: Use Simpson's 1/3 rule to integrate f(x) = from a = 0 to b = 0.8. 0.2+25x200x²+675x³-900x4+400x-5

A: Using one time Simpsons 1/3rd rule.

Q: Use the Laplace transform to solve the given initial-value problem. y"+ 2y"-y'- 2y = sin(4t), y(0) =…

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Q: Let the sequence 9n be recursively defined by go = 0, 91 = 1, 9n = 9n-1 +29n-2 for n ≥ 2. Show that…

A: Given: The recurrence relation, gn=gn-1+2gn-2, g0=0, g1=1 for n≥2 To show: limn→∞gn=∞

Q: Regarding Circles, I am tasked with writing the standard form of an equation and general form of the…

A: Given is an equation of the circle in standard form as x+62+y-82=100.   To Find: The general form of…

Q: 4. Verify that (¹)² (j³)² = j³² | j³² but (²)³ #jj² j2

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Q: You will begin by selecting one of the following differential equations to construct a slope field…

A: 1st we will find equilibrium solution of given differential equation  for differential equation…

Q: Q. 2. a) Find the limits of the following functions: lim sin 2x 52x² + x lim x²+12-4 x-2

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Q: 22 The line y = 2-2x cuts the curve 3x² - y² = 3 at the points A and B. Find the length of the line…

A: Straight line and hyperbola intersect at two points.

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Q: 1. Suppose Delta Corp allocates $600,000 to spend on research and marketing. Delta Corp estimates…

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Q: Mia found a receipt for a pair of boots for $127.19$, tax included. If the sales tax rate was 7%,…

A: We know that Sales Tax = List Price * Tax Ratealso,Selling Price = List Price + Sales taxSelling…

Q: Material implication says that which two connectives are basically "the same" in that whenever you…

A: Solution:--Material implication:-   In propositional logic, material implication is a valid rule of…

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A: From the third row, it is clear that it is not optimal table.

Q: 2. The limit of the following function equals: a. 0 b. 1 c. -1 d. None of the above answers x2/3 +…

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Q: 7. dt Scientist has observed that a small colony of penguins on a remote Antarctic island obeys the…

A: As per the question we are given a population growth model of penguins as : dP/dt = rP Where P is…

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A: We know that a set E is compact if every open cover of E has a finite subcover. We suppose, that O…

Q: 6. Solve 6*+³ – 6* = 215

A: 6. To solve: 6x+3-6x=215

Q: 6.30 You are designing a spherical tank (Fig. P6.30) to hold water for a small village in a…

A: What is Newton-Raphson Method: Newton-Raphson method is a numerical tool that is used in solving…

Q: (b) d²y dy Find the solution for cos(x) ² − (1 + x²) dx − 2xy = 12 with the conditions - dx² dx 1+x²…

A: Given cosxd2ydx2-1+x2dydx-2xy=11+x2y1=-1, y2=2, h=0.25`

Q: 3B(i). Write y = 3x²2 + 12x+5 in the form of y= a (x+h)² + k where a, h and k are constants.

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Q: Find the equation for the file pattern f Size 1 include: Size 2 Size 4 2 a table 3d graph 4) the…

A: Explicit function: Function is defined where dependent variable is expressed in terms of independent…

Q: y" + 16y' = 128(t — 57/8); y(0) = 3, y' (0) = ( C

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Q: Consider the differential equation: √√√y + y = When solving the previous equation, the parametric…

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Q: Evaluate 2-1 dz where C is contour defined by lz-3il: 113

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Q: When feC¹ (R,R), and X*ER is a point with f(x*)=0 and f'(x*) ±0, then we know that there exists some…

A: From the given expression option "b" is true

Q: d2n-1 dr2n-1 (x sinx) = (-1)-¹(xcosx + (2n-1) sinx). To solve this problem use mathematical…

A: d2n-1dx2n-1x sinx=-1n-1x cosx +2n-1sinx

Q: 2. Find the area of the surface generated by revolving the given curve about the y -axis. (a)…

A: Given b x=y3, 0≤y≤2c x=9-y2, -2≤y≤2

Q: 3. The function to be maximized is f(x) = 4sinx (1+ cosx).) Let us use x0= π/4 as the initial…

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Q: use the comparison test to determine if the following series converges or diverges E infinity/n=1…

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Q: Determine the equation for the graph of the following rational function. 77 M 75 ri MERSEDES

A: To Determine: The equation of the graph of the function which is given in the question.