Question 1 Find the solution to (2x+3) y'=y+ (2x+3) ²; x = -1;y=0 2y = (2x + 3) ²1n (2x + 3) y= In(2x + 3) 3 (√2x+3) y = 2ln(2x+3)/√√2x+3 O 2y = ln(2x + 3)/2x+3

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A: The given equation .We have to find the value of that satisfies the equation.

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Q: 23. a) Use the factor theorem to determine the factors of the function f(x) = 10x' +41x +x- 12. b)…

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Q: Differentiate y O 1 4x +2 = x(x-1) (2x²(x + 1)) 3(x-1)²(x²+2x+1) 8x² + x 2 2 O3(x-1)² (3x²-1) 8(x² +…

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Q: how do i solve this problem 5/4-x-1/3=x

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Q: g(*) = ln (-3x+11) %3D calculate (X), A) 2(-3r +11)-3 B) -3(-3r + 11)-1 C) -54(-3r + 11)-3 D) -9(-3r…

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Q: (10x-19) (3r + 2) (5x-3)

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A: To evaluate the given integral

Q: If one root of f(x) = x2 − 4x + 5 is 2 + i, what else do you know?

A: f(x)=x2-4x+5                                    One root is:=…

Q: 2 ln (1+√√y) = 2 ln (1+√√x) + In C n{(1 + √y)²} = ln {C(1 + √@)²}

A: Given that 2 log 1+y=2log1+x+log C Here we need to explain the next steps.

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Q: 3. √ √x² + 2x dx

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Q: LAR널)] = Y(S) = [올 +2 Yi(s) = Y,(s) = (S+4)×2 블 +8S+20 N/A ( 52 ) ³²+ + 4 . √2 + 5 - S14 (S+4) e (5²…

A: To show:-

Q: 3) g(x)=√x² (write your final answer with no fractional nor negative exponents)

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Q: If f(x)=2x-6 and g(x)=x-2x^2 how do you find the value for these 3 questions? 14. f(h+9) 15. g(3y)…

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Q: (2x²-5x) (x³+4)* 3. = In (5x-9)2 expressions]

A: ln m/n =ln m - ln n ln mn = ln m + ln n ln ab = b ln a

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A: Given that:f(x)=x2-4x-1

Q: 6. If f {(1,-3)}, (a) find the domain and range of f. (b) find g(r) = f(r+2). (c) find h(r)=…

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Q: 1. 5(x+3)(x-6)-2(x-2)(x+5) = x² + 2(x – 4)² – 3(28-x) (4х-3) (х-1) 2. 3 (х-1) 2(x-2)2 + 1 +== 2 8.…

A: Using x+ax+b=x2+ax+bx+ab and x+a2=x2+2ax+a2 Simplify the given equation and then solve the…

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Q: If f(x)=x^2−2 and h(x)=4x+5, then f(h(3))=       7     15     119     287     33

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Q: Solve 1. (z - 4) s(3z + 2) 2. X+8(x+1) > 3(2-x)+x

A: Given; 1.  (8/6) (z-4)<=(2/18)(3z+2) 2.  x+8(x+1)>3(2-x)+x

Q: using the zero product principle. x^(3)+8x^(2)+15x=0

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Q: 2. 11+√7 dx

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Q: 2.

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