In Exercises 101–103, perform the indicated operations. 1 1 1 101. x" – 1 x" + 1 x2" – 1 (1-X- -X ) (1 – (1 – 102. (1 - x + 1) x + 2 x + 3 103. (x – y)-1 + (x – y)-2
Q: (30x2 - 528x + 7744),/x + 22) , C (15×2 - 264x + 3872)(x + 22)3/2 , c 105 A)- 105 (30x2 - 528× +…
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A: The given expression is: ∑i=1∞-0.45i-110+i2i2-i We can rewrite this as: =∑i=1∞-0.45i-110+i2i2i…
Q: 21
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A: Given: The expression 2x4y33xy43. The given expression can be simplified as,…
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A: Here we prove this statement by using series expansion.
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Q: 14 12 10 8 2x 3n -2 -6 -8 -10 -12 -14 Enter your answer in the box. amplitude = 4.
A: Amplitude is the distance between the centre line of the function and the top or bottom of the…
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A: To verify
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Q: 3. (a) Show that x2 1 1 1 (x² – 4)² 4 х — 2 x +2
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A: Given query is to find the solution of the expressions.
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Q: 2) 2° +2¹+2²+...+ 2n = 2n+¹ -1 Remember: 2⁰=1
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Q: + 5(7+ j2) 3- j4 QII Simplify (2+ j5)} -j(4- j6), expressing the result in the form x+jy.
A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…
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A: Integrate using some standard formula
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A: Solving the problem by doing the lcm and then solution.
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A: We will follow the eigenvalue approach. Find find the eigen values and eigen vectors . Then general…
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Q: 01 , = 2, x, = (1, 0) -2]° A2 = -2, x2 = (0, 1) %3D 1. A = %3D
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Q: Q1/ Find the inverse transformf(Es) FIS)=35+ 7 3²-25-3
A: We will break the expression using partial fraction and then use the inverse Laplace transform…
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Q: Exercises 111-113 will help you prepare for the material covered in the next section. 111. a.…
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Q: x2 - 14x + 45 >0 Show your work: O (-0, -5] U (-9, 0) O (-, 5) U (9, 0) О (-5, -9) O [5, 9]
A: Let's find.
Q: х + 4у + 72 — 109 4х — 5у + 42 — - 29 5x + у — 2 %3D10 z =
A: Since you have submitted multiple question here I will giving help for first question. if you want…
Q: 33) f(x) = |2x- 1| %3D 57 3 2 1- 5 4 2. 1 3. 1- 2 3- 55 5,
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- Make Sense? In Exercises 135–138, determine whether each statement makes sense or does not make sense, and explain your reasoning. 135. Knowing the difference between factors and terms is important: In (3x?y)“, I can distribute the exponent 2 on each factor, but in (3x² + y)', I cannot do the same thing on each term. 136. I used the FOIL method to find the product of x + 5 and x + 2x + 1. 137. Instead of using the formula for the square of a binomial sum, I prefer to write the binomial sum twice and then apply the FOIL method. 138. Special-product formulas have patterns that make their multiplications quicker than using the FOIL method.Exercises 86–88 will help you prepare for the material covered in the next section. If –9 is substituted for x in the equation 4x – 3 = 5x + 6, is the resulting statement true or false? Simplify: 13 – 3(x + 2). Зх + Simplify: 10(**1).For Exercises 5–10, a. Simplify the expression. b. Substitute 0 for h in the simplified expression. 2(x + h)? + 3(x + h) · 5. (2x + 3x) 3(x + h - 4(x + h) – (3x - 4x) 6. h 1 1 1 1 (x + h) – 2 7. x - 2 2(x + h) + 5 8. 2x + 5 h (x + h) – x 9. (x + h) 10. - X h h
- In Exercises 83–90, perform the indicated operation or operations. 83. (3x + 4y)? - (3x – 4y) 84. (5x + 2y) - (5x – 2y) 85. (5x – 7)(3x – 2) – (4x – 5)(6x – 1) 86. (3x + 5)(2x - 9) - (7x – 2)(x – 1) 87. (2x + 5)(2r - 5)(4x? + 25) 88. (3x + 4)(3x – 4)(9x² + 16) (2x – 7)5 89. (2x – 7) (5x – 3)6 90. (5x – 3)4In Exercises 106–108, factor and simplify each algebraic expression. 106. 16x + 32r4 107. (x² – 4)(x² + 3) - (r? – 4)°(x² + 3)2 108. 12x+ 6xIn Exercises 129–132, determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. 129. 9x? + 15x + 25 = (3x + 5) 130. x - 27 = (x – 3)(x² + 6x + 9) 131. x³ – 64 = (x – 4)3 132. 4x2 – 121 = (2x – 11)
- In Exercises 20–21, solve each rational equation. 11 20. x + 4 + 2 x2 – 16 - x + 1 21. x? + 2x – 3 1 1 x + 3 x - 1 ||For Exercises 39–42, multiply the radicals and simplify. Assume that all variable expressions represent positive real numbers. 39. (6V5 – 2V3)(2V3 + 5V3) 40. (7V2 – 2VIT)(7V2 + 2V1T) 41. (2c²Va – 5ď Vc) 42. (Vx + 2 + 4)²For Exercises 37–44, find the difference quotient and simplify. (See Examples 4-5) 37. f(х) — — 2х + 5 38. f(x) = -3x + 8 39. f(x) = -5x² – 4x + 2 40. f(x) = -4x - 2x + 6 41. f(x) = x' + 5 42. f(x) = 1 43. f(x) = 1 44. f(x) = x + 2
- For Exercises 99–103, perform the indicated operations. 1 + =i 6. 99. + -i 100. (4 – 7i)(5 + i) 3 5 101. (4 – 6i)? 102. (8 – 3i)(8 + 3i) 4 + 3i 103. 3 - iEvaluate ( 1 - i ) -1/2In Exercises 132–137, factor each polynomial. Assume that all variable exponents represent whole numbers. 132. 9x2" + x" – 8 133. 4x2n – 9x" + 5 134. an+2 – a"+2 – 6a? 135. b2n+2 + 3b"+2 10b2 136. 3c"+2 10c"+1 + 3c" 137. 2d"+2 5d"+1 + 3d"