Use the areas shown in the figure below to find the following. y = f(x) Area =0.9 Area =1.3 c d a Area =2.4 (a) f(x) dx = i (b) f(x) dx = i

Q: (In(r))² 9. dr

A:

Q: 5. (2)(12)(22)= Your answer

A: We first multiply 2 and 12 (2)(12)(22)=2×12×22=(2×12)×22=24×22

Q: 8) n +3n - 12 = 6

A: Given equation, n2+3n-12=6

Q: Let x be positive and a be a constant where x < a < vx . Find the indicated derivative: a d 21t dt +…

A: In this question we find integration bof given function and after we find first derivative. Here i…

Q: 5. One factor is provided and one is missing. What is the missing factor? a) x? + 10x + 24 = (x + 4)…

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Q: 3-5(4x + 7)

A:

Q: 7. Find the difference of (3m'n-mn-4m+3) and (4m'n+3mn +2m+6), what is the coefficient of m in the…

A: Difference between two expression

Q: 11) (4a° Ya-8 ²)+ 2yy 43 34

A:

Q: Factor: (2x)³ + y° 8.

A: Solution :-

Q: 4 out of 10 Factor 7 - 10 10

A: Given,            45-710y

Q: 10. Factor z²+52-24

A: Given :-  The Polynomial To Find :- Factor

Q: UIN (x − 1) − = (x + 2) = 7

A:

Q: Which of the following is a factor of P(x) = x3 - 3x2 - 3x +9 c) (x + 3) %3D a)(x - 3) b) (x – 2) d)…

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Q: 15. (2 – 10e-2) 0.32

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Q: When an (1) 3 2 ak+1 = -3ak +2 (k=1,2,3...), a₁ = (1) × [(2)″ +(3) (2) (3)

A: To determine the missing terms in the following.When a1=32ak+1=-3ak+2         k=1, 2, 3, ...,…

Q: Find 1 (9) Lp(p – 1). p(p²-1)3 (10) L-1 (p2+1)2,

A:

Q: dx Evaluate In x2/(In x)2-1 C. In /(In x)² – 1+c D. arctan(In x) + C A. arcsec(In x) + C B. (2/3)…

A: (A) arcseclnx+C' =1lnx2lnx2-1lnx' =1xlnxln2x-1 (B) 23lnx2-132+C' =3lnx2-1122lnx2-1' =2lnxln2x-112x…

Q: 16 If X-B (4, p) and P (X=0)=- then P (X=4) 81

A:

Q: 36 6 10. Find the coefficient of x³6 in (x + x² + x³ + x² + x³ + x² + x² + x³) ³

A: To find the coefficient of the term x36 in the expansion of x+x2+x3+x4+x5+x6+x7+x85.

Q: 3 2x 1 6 1 3x + 1|2

A: Our Aim is to simplify the expression given below and to find the value of x:-32x-16=13x+12-(i)

Q: (V10 + V5)(V10 – V5) = (_) – (P = –

A: Given, To solve

Q: 9. If 4x(y+2) ソー3 O J6 4x(y+2) – 2x, y # 3 or -2, and x #0,2= ソ-3 y+2 A) B) C) 2 1/8112 28

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Q: 10. x2 + x2 = x4

A:

Q: a) 1 (x-1)(x+2)(x+4)

A:

Q: 10. (3k2- 2k + 5) + (-2k² + 6k -7)

A:

Q: 14. 15. 16. 17. (2c + 3d) − (-6d – 5c) - - (5x² + 6x − 9) - (x² − 3x +7) - (3y-6) -(8-9y)

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Q: 4) (-7k+10 ) (k- 1)

A:

Q: 3(6)    this is incorrect

A:

Q: S 4x²+1

A: Find the integral by using substitution method

Q: 4. (2 v2 + i)- i (1 +v 2 i) 5. (1 - i)

A:

Q: (-1)*.m A Sn+2

A: We have to find the convergence of the series  Summation n = 1 to + ♾ ( -1 )n n / ( 5n + 2 )

Q: 12 (d) 8 12 (e) 4

A: We want to find combination.  Formula used.  C( n, r ) = n!/(r!×(n - r)!)

Q: ỳ+ (9)3 = 0

A: We have to solve the given differential equation       y" +(y')3 = 0