3) 5x223x A) 5x23x(2x + 3) B) 10ex3x(3x + 2) 5x23x(3x + 2) D) 10xe3x(2x +...
2x f(x) = ex+ f'(x) = (3x + 2) ex+3 B f'(x) = (x2 + 2x) e*+2x-1 С f'(x) = ex®+2x f'(x) = €3x+2
solve each equation algebraically:
a) 3+7e^2x=24
b) 2^x+5=7^3x+1
c) 3^(2x) - 3^(x) - 20=0
d) log x + log (x-5)=2
^6 ^6
e) log(x+2)-log(x-1)=1
f) ln(log (x^2 + 2x))=0
^3
d og, 71 Solve each of the exponenti a tions call the as well as a decimal approximation to the nearest the get the approximated solutions Yo d ac t o a) 3+72-24 d) 3 -3-20 - 0 get the approximated solution a) loe +log.-5) = 2
32. Simplify : a. x/3-x/4 b. 3/(2x) -4/x c. 1/2x-1/3x 33. Find x if: 3x +6 = 2-5x a. b. x/m + x/n = 1 C 1/x = 3/m d. Sx/3 = 2 34. Find b if: x/(x+a) = 2/b a. b. v(x - b') =y 35. Solve the following Simultaneous linear equations and check in both equations: a) 3x+y=-4 x-2y 1 b) 5x+y=-8 2x-2y 4 Answer: x-1, y.3 36. Evaluate the expression below, if b-3 and c-2. 2bc'+(bc) Helpful...
Integrate: 3 X Wix 12 X SX 3. (3x²+2x+5 de J (x-1) (x²-x-20). 4. 15x²-3x-2 d. "JX² - 2x² ay 1. mo Fuid appropinations using numerical integration 24 a) with midpt method . b) with trapezoidal method ) n=4. a) Midpoint b) Trapezoil al
8. Using Chain Power Rule a) ∫ (3X^2 + 4)^5(6X) dx b) ∫](2X+3)^1/2] 2dx c) ∫X^3](5X^4+11)^9 dx d ∫(5X^2(X^3-4)^1/2 dx e) ∫(2X^2-4X)^2(X-1) dx f) ∫(X^2-1)/(X^3-3X)^3 dx g) ∫(X^3+9)^3(3X^2) dx h) ∫[X^2-4X]/[X^3-6X^2+2]^1/2 dx
solve this determinant please with clear steps
Q. Solve the determination Tx+2 2x+3 3x+4 [2x+ 3x+4 4x+5 13x+5 5x+8 10x+17
TUTI) 8. and h(x) = 3x - 2, a) If g(x) = 2x + 10 3 Find: - (3 marks) and express in its simplest form g[h(x)] = find f'(x) b) If f(x) = = 2x - 1 3x + 4 (4 marks)
Multiple Choice: 1. Simplify "1-2x-x+5x-3x2+15+x3 a) x3-4x2+3x -1 (b) x2-4x2 +3x +1 (c) x3-4x-3x +1 (d)+4x +3x +1 2. Expand "logly' x3 a) 2(Logly)+3logx)) ( (d) 2logl)+3loglv) (b) 3log(x) 2logly) (c) 6log(x)logly) 3. quals 5 (b) 55 (c) 64 (d) 10 a) 62
help with solving questions 2 and 3
Solve 2x + 3y + 5z = 2 3x - 2y + z = 1 4x + 5y - 2z = 3 Solve 5x^2 + 3x + 4 = 0
4. Simplify and state the restrictions. 2x+8 4x+16 a) 3x 6x2–5x+1 b) x2-4 Х x2-x-2 x2-3x 2x2 4 1 c) x2+3x+2 + 1 x2+4x+3 11x d)- x2+3x-28 X-4