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Integrate the function : F'(x)=3x^2+4x-5

F'(x)=3x^2+4x-5
F(x)=(3/(2+1))(x^(2+1))+(4/(1+1)) (x^(1+1))-5(x^(0+1))

Answer: F(x)=x^3+2x^2-5x+c

IM
Answered by Ian Malique D. Maths tutor
7836 Views

There are 5 white socks and 3 black socks in a draw. Steven takes out 2 at random. Work out the probability that Steven takes out 2 socks of the same colour.

P(WW) = 5/8 x 4/7 = 20/56

P(BB) = 3/8 x 2/7 = 6/56

P(same colour) = 20/56 + 6/56 = 26/56 = 13/28 (simplified)

TJ
Answered by Tom J. Maths tutor
8309 Views

ABC is a right angled triangle. D is the point on AB such that AD = 3DB. AC = 2DB and angle A = 90 degrees. Show that sinC = k/√20 where k is an integer. Find the value of k

AB = 4DB

AC = 2DB

Find BC using Pythagoras:

BC = √(4DB)2 + (2DB)2

...

TJ
Answered by Tom J. Maths tutor
15653 Views

Solve 7(k – 3) = 3k – 5

Step 1: 7k-21=3k-5

Step 2: 4k=16

Step 3: k=4

JY
Answered by Jin Yang Q. Maths tutor
7237 Views

Solve the equation 3x squared + 4x – 12 = 0 Give your solutions correct to 2 decimal places.

3x+4x-12=0

Step 1: formula (-b+/- square root (b2-4ac))/2a

Step 2: a=3 b=4 c=-12

Step 3: type into your calculator 

Step ...

JY
Answered by Jin Yang Q. Maths tutor
16528 Views

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