Use the summation operator (Σ) to simplify the following expressions (where X and Y are variables): i. 2x₁ + 2x₂ + ...2x5 ii. 3X₁Y₁ +3X₂Y₂ + ... 3XnYn

Q: 9- 4x2 dx 6. Evaluate

A: We need to evaluate the following integral ∫9-4x2x2dx = 9-4x2∫1x2dx-∫ddx9-4x2∫1x2dxdx=…

Q: Find the GCF and LCM for the following terms: 27xty>z°, 6x°y®z³, 4yz.

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Q: Let X- N (8, 64), Find P ( 8< X< 16).

A: Standard normal distribution: The standard normal distribution is a special case of normal…

Q: If possible, write -4 – 2x – 3x as a linear combination of x - x?, -a? and 1 + x². Otherwise, enter…

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Q: 6x + 5 > -2(x – 3) – 25

A: 6x + 5 &gt; -2(x-3) - 25 6x + 5 &gt; -2x + 6 - 25 Add (2x) on both side 8x + 5 &gt; -19

Q: (2x dydr Evaluate: 1.

A: convert into polar form :  x=rcos(theta) y=rsin(theta)

Q: Let f(x) = 7x². Find the sum. f(0) + f(1) + f(2) + f(3) + f(4)

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Q: Find x and y if: 16*+2y 32*+3y 32 and 8x-y 16*+2y 8. ||

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Q: A salesperson gets a commission of $1,600 for the first $10,000 of sales, and then $800 for each…

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Q: Simplify. 2 [5x 5y2 0]

A: We need to simplify the given expression.

Q: fnd all xeR where -5x (x+) n=2 ナS is Convergent- +5

A: We have to find all x∈ℝ such that the series ∑n=2∞ -5xx+1nx+1n-1+5x+1n+5 is convergent. We know that…

Q: Rationalize the denomina Vx +1 Vx +2 x +1 /x +2 (Simplify your answer.

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Q: 6 Q3. Evaluate Σή=1 5n2 - 7n.

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Q: The profit (in dollars) from the sale of x lawn mowers is II(x) = 20 x - 0.02 x2 - 750. The average…

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Q: Vx² + 4x – 5 dr. A secant substitution Evaluate x + 2

A: Consider the following definite integral: ∫14x2+4x-5x+2dx=∫14x2+4x+4-9x+2dx=∫14x+22-9x+2dx…

Q: Which of the following is an illustration of one of the associative properties? B 2a(a – 2) = 2a² –…

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Q: z(Z-7) at z= 5

A: =z(z-7)substitute z=5=55-7=5-2=-10

Q: Evaluate fS (ax³ + by³ + Va² – x²) dA for D = [-a, a] × [-6, b] D

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Q: Find x. A (2x – 15)* (2x 15)° - C

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Q: Q7. Evaluate the following: (x+3)dx -5 -2

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Q: Ex:@ write out the expessicn în full- dummy indices 9 Hownany summakins aue theie y R (n=4) jki…

A: First we write expression of curvature tensor

Q: If P (A) = 0.6, P(B)=0.1, and A and B are mutually exclusive, find P (A or B). P(4 or B) = |

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Q: Which equalion represents O8? 2 B O A. (x-3)++ 3 - 4 B. (x+ 3) - (y- 3) = 4

A: Equation of circle

Q: L{t(u0 – u1) + t²u1}.

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Q: Q1 : Evaluate: 1. (4- j3) + j15

A: We will evaluate as following.

Q: Integrate the given expression. Select one: O A. 8t3/2 + t5/2 + C O B. 16 3 +글+ c O c. 16 3/2 + 5/2…

A: we have to evaluate the following integral

Q: Find the following expressions if a = (6r, 0, r), b = (6s, –s, 7s), and c = (2t, 10t, 5). a ·b = 1.…

A: We need to find dot product.

Q: (a) | V3 +1 dr

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Q: For z = -V3 - j3, evaluate

A: Given that , z=-3-j3 evaluate 1z*e-jπ2

Q: Determine the right end behavior of y = - 13x + +3x². + 1x4 As x → ∞0, Oy → +∞ y → -∞ Oy → -13 Oy -…

A: y=-13x+13x2+14x4if degree is even and leading coefficient is positive than as x→-∞, f(x)→∞ as x→∞,…

Q: Let à = (-4,-5, 4) and 6 = (2, 4, 0). a Find a x b. хъ.

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Q: x/3x +. u = 3x + 2 symbolic notation and fractions where needed. Use C for the arbitrary

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Q: x(In 7-2in 3)=-3ln 7-2in 3

A: The given expression xln 7-2 ln 3=-3 ln 7-2 ln 3. We have to find the value of x.