Write the equation of the ellipse 9a²+ 16y² – 90x – 32y + 97 = 0 in standard form a2 (x – h)? (y – k)² + = 1 62 Where: h = k = a = b =

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Q: (i) (3x+4)(3x-5) (i) (3–2x)(3+2x) ii) (3x+5y)(9x² –15xy+ 25 y² ) (iv) (x² -1)(x* +x² +1) (v)…

A: Since you have asked questions with multiple subparts so we will solve first three subparts for you

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A: Given: A=4-40-5

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Q: 7 – 6 8 -8 -5 + -5 6 Add: - 8 -7 -3 5 4 8

A: 37-8-5-8605+-68-56-7-348=3+(-6)7+8-8+(-5)-5+6-8+(-7)  6+(-3)0+45+8

Q: 4) Find the sum of first 20 terms of the following series. 2+4 +6 + . a) 380 b) 400 c) 420 d) 440

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Q: H.W: Find Laplace Transform for following functions: a) f(t) = e¬3t sin² (t)

A: Doing (a)f(t)= e-3t sin2tsince,sin2t=1-cos(2t)2f(t) =e-3t 1-cos(2t)2L{ f(t) } =L{ e-3t 1-cos(2t)2 }…

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A: As y varies inversely with x, we take y=c/x

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Q: -4 2 A = -2 2 3 -2 2 -27 B = -1 -2 -3 -1 4 31 C = -2 2 5

A: A=-42-1 -223, B=-22-2 -1-2-3, and C=-143 -225

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Q: in įven linear factor. 32) (2x – 17x 38) (x – 3) :- 32 -(7 -38 ス

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Q: Round your answers to two decimal places as needed. The equation P = 490n- 12740 represents a…

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Q: (b) If $2000 is invested today at 8% compounded quarterly, how much would it be worth in 2030? 2022…

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Q: What is 2+2

A: 2+2= 4

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A: Simplify  (24-18)+(20-16)

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Q: nCA')-21, nCB)- 27, nCA'UB')= 36, NCANB)= 17 using for each region Tm the venin eliagram, the givan…

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Q: act List Time left 0:51:2 When creating an inverse you must... Select one: a. Switch the x and y. O…

A: The inverse function f−1(x) of the given function  f(x) is found using the following steps.First,…