Write each expression in sigma notation. (11) a+2a? + 3a' +4a* + 5a° 1 1 3 1 1 1 (15) 5 7 9.

Q: Pick the identity that is NOT correct. O n2"-1 = E-1j (;) O (;) = („"x) O E ) (2η' = E1 () n 2j \2j-

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Q: Produce a simple formula for a where a, n € Z and 1 ≤ a ≤ n. i=a

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Q: Find the exact value of the expression. 57t COS 12 o VZWB - 1) VZW3-1) 4 O 2W3-1) 4

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Q: Find all possible replacements for w (where w is a number on the clock) to make 2w = 6 in the…

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Q: Pr[A'nB]=0.4 and Pr[(AUB)']=0.5. determine Pr[A]

A: GivenP(A'∩B)=0.4P(A∪B)'=0.5

Q: Assume a; > 0 (i = 1,..., n). Show that 1 +. a1 < (a1a2 ... an)/n. n an

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Q: Select one: O a = 1+iv2 and æ = 1 – iv2 O a = -1 - iv/2 and a = -1+i O not in the list O r = -V2 and…

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Q: which expression below can be obtained from 8sin squared(3x) by using a power reducing formula?…

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Q: Sn sin4xdx = 4 */3 1/12 Select one: O True O False

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Q: Write the sum as a product: cos(18.8p) + cos(6.4p) COS

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Q: 07. Evaluate the (4e" +6 cos n) de

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Q: O show that 2. I| a+ V 1= 11 + 1i if and only if ū. ů =0 %3D

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Q: solve for the value of i + O In e O In 1 O -1 O i

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Q: 16. Express the quotient 00. √3 5 O b. √3 1 OC. √3 6 O d. √3 2 1 3(cos50°+isin50°),…

A: Topic:- complex number

Q: 3/2n 7. Find proj in terms of: (a) b)

A: Solution of the problem as follows

Q: 2) Solve for the general solution of the given ODE. +ye 2ze?! where x #0

A: To solve the given ordinary differential equation.

Q: Find n if P(n+14,2) = 756. Show your steps using the formula for P(n,r). LIca tho aditor to fo

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Q: N/W 00 x9 ex, 3. .a O 16 3 IT bC 4 .cO 3

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Q: Eii!): i(i!) = (n+1)! – 1, for every integer n > 1. i=1

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Q: The value of x in the second iteration of the equation x3 – 9x + 1 = 0 using Regula Falsi is…

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Q: Solve this ODE by Heun's Method and h = 0.1 to find y(0.2) y' = -3x ,y(0) = 0 0.04 O 50 1 50 3 50 1.

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Q: 2. Evaluate the following expression (exact solution): 2sin(-)cos(-)

A: This is the application of multiple angle.

Q: 9.1. Find all values of z such that (a). e = -2, (b). e² = 1+ v3i, (c). exp(2z – 1) = 1, (d). sin z…

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Q: Consider a positive integer 1 < i < 9. Then, given T(n) = 2T([n / 2] + i) + n, show that T(n) E O(n…

A: Given: T(n)=2Tn2+i+n The positive integer 1≤i≤9

Q: Given the explicit formula, find the first 5 terms. f(n) = 3"-1 %3D

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Q: a. Complete the table of values by using numbers rounded off to the four decimal places. 2n 7n 5n 3n…

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Q: The characteristic of Z5[x]/ 3 5 O O C

A: Introduction: The characteristics of a field is either 0 or prime. Suppose, a polynomial fx is…

Q: 5. An RL circuit has an emf of 5 volts, a resistance of 50 ohms, an inductance of 1 henry, and no…

A: Using 1st order ODE

Q: 1₂ O 2² x² + x2° In | co - 3 2 O O None of the choices O +∞ dx In 2

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Q: Find the value of t for which 1 V3x+1 O none of the choices 6 O 3 O 5 O 4

A: Here, given that: ∫1t13x+1dx=43

Q: 12. Write the product as a sum. 3 cos 4x cos 7x

A: To write the product as a sum, 3cos4xcos7x

Q: [n' 2 32. For every integer n, SIN 3

A: Introduction: A ceiling function is one that returns the smallest successive integer. In other…

Q: Evaluate S" -2n 1 cos³ w sinsw dw 2 O - 1/2 O 1/2 O 1

A: Please find attachment for the details solution

Q: Find all the constant solutions of the following ODE

A: In this question, we have to find the constant solutions of the differential equation…

Q: Write the sum as a product: cos(23.6b) + cos(8.4b)

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Q: 17. Find all values of where x? – 6xy+ 8y² = 0, and x # 0.

A: we have x2-6xy+8y2=0, and x≠0 Now,  x2-6xy+8y2=0x2-2xy-4xy+8y2=0xx-2y-4yx-2y=0x-2yx-4y=0

Q: Find a) Ra Py for ū =|2 3

A: The symbols Rπ2Py indicates that the matrix is rotated by π2 and the projection is on  y axis. The…

Q: Fill in each blank so that the resulting statement is true.

A: we have to fill the given statement. The first term of   ∑i=120(6i-4) is ________ and the last term…

Q: where k is a numerical coi Determine the value of k, for which p(x) O 8/15 2040

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Q: 6. Find the identical expression for the following. cofu - 2

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Q: السؤال 1 12 .a 2n cO 2 ndO

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Q: 21 3 L 1-6 J Determine all values of a and b so that

A: To determine all values of a and b so that 12a03b-41=-561216. Solution: Two matrix are equal if…

Q: 00 (1) 2n 27. n=1 А. 2 В. -3 С. D. Е. Divergent

A: (27). The sequence is defined by To determine : The value to which the sequence converges.

Q: Perform the following Sigma Notation. 4i + 3 2. Σ-1 10 i - k! + 5 6j – 1 3. Lj=3 4. Lk =2 k = 2 2k…

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Q: 6(cos² æ – 1)

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Q: Use a sum or difference formula to find the exact value of cos 285°. 01 V2+ V6 4. -V6 - V2 V6 + v2 4…

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Q: 4 2n a O 2.b0 /2 1.cO .d O

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Q: 3- solve the following ODE with Finite difference y"+y y(0) =0 y(1.5)= 4 Ar = 0.5

A: Consider the provided question, y''+y3=xy0=0, y1.5=4∆x=0.5yi''=-yi3+xi                   ...1 x…

Q: Write the sum as a product: cos(6.6a)−cos(5.8a)=

A: To write the given sum as a product

Q: 1 Rewrite each expressions as a sum or difference. 1 -3cos 6y - sin3y

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