Q4:B/Simplify [cos 20-i sin20][cos 30+ i sin301² [cos 40+ i sin40³[cos 20-i sin2015 using De Moivre's theorem?

Q: 4 -2 End Behavier As x-∞, f(x) (0,1) #∞ As x, f(x)➡ 0 (0.634. 1.348) 2 4 (2.366,-3.848) #-∞ ::…

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Q: Given that f(x) = -2x² f(g(x)) - 5x + 7 and g(x) = 5x + 2, find and simplify

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Q: a) Explain what a trigonometric identity is. b) give an example of a trigonometric identity, and c)…

A: Solution a: Trigonometric Identity: Actually, trigonometric identities are the equalities, which…

Q: 3. Suppose f(x)=√x-3 and g(x) = x² +5. Which of the following is a formula for (fog)(x)?

A: Given, fx=x-3 and, gx=x2+5

Q: Show that a number with 30 digits cannot have more than 100 prime factors.  

A: Prime factor: A factor of a number which is a prime number. For example: consider a number 26. The…

Q: Name sets whose elements are (a) buildings, (b) people, (c) students, (d) trees, (e) numbers, (f)…

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Q: What are the elements of the following (admittedly peculiar) set: {Alice, {1}}?  

A: Given: A set Alice, 1. To find: The elements of the given set.

Q: (b) Use the series above to calculate the value of e (use the decimal format with six significant…

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Q: Copy of Let P(x) means "x is a freshman" and Q(x) means "x is a math major". Write the statement…

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Q: CCSX-D erval [1.5, 2] DA

A: The given equation is 0.5ex-e-x+5 cos x =2 Consider the function fx=0.5ex-e-x+5 cos x -2

Q: / Let (X₁T) and (Y₁J) be top. Spaces and fix-x be a surjective and continuous map, then y is Compact…

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Q: Evaluate the complex numbers j(3 – j4)* (-1+ j6)(2 + j)² (a) z1 1 +j 4 – j8 11/2 (b) Z2

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Q: 9. Classify each of the following statements as true or false, for all whole numbers a, b, and c,…

A: ?Two integer a|b ( a divides b) means there exists an integer k such that       b= a×k . ?Product,…

Q: Give brief Explanation of Special Case of a Repeated Zero Eigenvalue?

A: In this question, we have to give the brief explanation of special case of repeated zero Eigen…

Q: Find the particular solution of y2dx + x(x+y) dy=0., when x=1, y=1. Let x=vy

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Q: General Company for Electronic Systems produces control panels of types S and L. the whole sale…

A: The linear function(cost function or the profit function etc.) that needs to be optimized(maximize…

Q: In a video game, the monetary system is based on colored rupees. • The Red rupee = 20. • 26…

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Q: 10 69 8 7 6 5 ST 3 2 1 2 3 4 5 6 7 8 9 10 Consider the (x,y) coordinate grid above. The grid also…

A: Hint: It is given that (5,6) is placed on the graph facing southwest.

Q: 24.If the functions y1 and y2 are a fundamental set of solutions of y″ + p(t) y′ + q(t) y = 0, show…

A: Given That : If function  y1 and y2 are a fundamental set of solutions of  y"+p(t)y'+g(t)y=0 Show…

Q: c1x1(a) + c2x2(a)+ . . . +cnxn(a) = x(a). Let X (t) be the n x n matrix with column vectors x1, x2,…

A: Given : Xt be any  matrix of n×n           : c be column with component c1 ,c2 , . . .  . . .  ,cn…

Q: - - 1. If à = 2ảx + 6ảy – 3ả₂ and ☎ = −3ảx – 4ảy – 5ả₂, find a. a unit vector in the direction of A…

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Q: 1 2 3 4 A 6 4 13 11 87 9 1 8 C 10 3 5 6 D E Consider the data table above. 1 Multiply C1 by A2 and…

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Q: V₁= 2³-37² +27= 0 + 1 (1-1) (1-2) = 0 1₁=0, A2=1, d3 = 2 X 2X X Y₁(x) = C₁ + c₂e² +₂²² +U₁=1, 4₂-e…

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Q: Find an equation for the given sinusoidal function. O

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Q: 1 0 6- 1 1 1 2 2. Having computed A from #1 above: 1. Write down the equation of the best fit line…

A: Disclaimer: Since, you have asked to solve Q 2 only, only two parts Q 2 are solved. Please find the…

Q: Find T, N, B,

A: Consider the given vector, rt=sinti+2costj+sintk The formula for Tt is given as, Tt=r'tr't Now,…

Q: How many interpretations are there for the number Express your answer as an integer.

A: The number 5000 is a natural number.  It can also be a whole number. Again the number 5000 can be…

Q: 4. Find the gradient of the function f(x, y) = cos(x² + y²) at the point (3,-4). 5. Find the…

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Q: find F-T using differentiation. -2 2 2 ans: F(W) = 4(sinc' (w) - 2 sinc (zw))

A: Please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: 5. Let f(x,y)=2y² +3z² - 4p +6. Find the absolute maximum and minimum values of f on the region z²+…

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Q: dy dx 2 x²(y² + 3) + y (x³+1) = 0

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Q: Determine whether the graph shown hasdirected or undirected edges, whether it has multiple edges,and…

A: Given: The below graph: And the given table is: To check: The graph has directed or undirected…

Q: What is the intersection of (a) the sets {0, 1, 3} and {1, 2, 3}; (b) the set of girls in this class…

A: Given information Part (A):- The intersection of sets {0, 1, 3} and {1, 2, 3}. Take A=0, 1, 3,…

Q: A soup can has a diameter 2 7/8 inches and a height of 4 3/4 inches. How many square inches of metal…

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Q: /3 0 0 8. (3) The matrix R=0 1 0 has 0 0 3/ (a) dominant eigenvalue (e) no dominant eigenvalue a O b…

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Q: the values of the elements of an RLC circuit are given. Solve the initial value problem di - i(t) dr…

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Q: If you count from 1 to 65, how many 3's will you find along the way? Answer Format: Numeric only

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Q: 6. By using the power method, the smallest eigenvalue A of the nonsingular matrix B equal to…

A: Answer is 'False'.

Q: Evaluate the following complex numbers and express your answers in polar form: (a) (4/30° – 10…

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question…

Q: Estimate the volume of the following solids by Riemann sums m n v~ΣΣf(xi,3;)ΔΑ i=1 i=1 Estimate the…

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Q: What is mean by Matrix? Define elements matrix?

A: Matrix:- A set of numbers arranged in rows and columns so as to form a rectangular array is called…

Q: Let X = {1,2,3} and let Y = {a,b}. [^)=Y f(gr) =f Let f: X→ Y be defined by f(1) = b, ƒ(2) = a, f(3)…

A: We shall solve first question only as per the guidelines . For others you may ask again by…

Q: 4. In fitting a straight line, the formula to find the sum of the squares of the residuals is (a) E…

A: 4. Hint: Here we need to just write the sum of the squares of the residuals.

Q: Consider the initial value problem y′′+y=f(t),y(0)=0,y′(0)=0 where f(t)=u0(t)+2n∑k=1(−1)kukπ(t).…

A: Given: The initial value problem is y''+y=ft with the condition y0=0 and y'0=0. Also, the given…

Q: he figure shows the flow of traffic (in vehicles per hour) through a network of streets. (Assume a =…

A: We creat equation of the flow of traffic X1 = 400 + X2 X1 - X2 = 400.............(1) X4  = 200 +X2…

Q: What kind of graph (from Table 1) can be used to modela highway system between major cities wherea)…

A: To find- What kind of graph (from Table 1) can be used to model a highway system between major…

Q: Eliminate the arbitrary constants from y = method and determinant method. C₁e* + c₂e-* by the…

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Q: In this worksheet, you will be defining 30 unique matrices denoted by the letters of the alphabet.…

A: 2) D , E , F are 4×4 matrice. D=2460-1817325-42560 E=12-432504329-376705818-8335570-67…

Q: Question 1 The Hilbert matrix H of order m is given by hij = (a) Obtain the matrix H for m = 5. (b)…

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Q: SIT292 : Linear Algebra : Maths – Engineering Assignment Questions : 1. Let us have the…

A: "Since you have asked multiple questions with multisubparts, we will solve the first question with…