You have forgot to upload an attachment with it either or you might forgot to write the complete question but i can still help you by telling you how this graph will be looking.
As you can see the y intercept is -8 so you can clearly understand that the line cuts the y axis at -8. Similarly by looking at the gradient and knowing that it is positive you can know that the the diagonal line will be sloping upwards with the multiple of 3.
Answer:
The integrals was calculated.
Step-by-step explanation:
We calculate integrals, and we get:
1) ∫ x^4 ln(x) dx=\frac{x^5 · ln(x)}{5} - \frac{x^5}{25}
2) ∫ arcsin(y) dy= y arcsin(y)+\sqrt{1-y²}
3) ∫ e^{-θ} cos(3θ) dθ = \frac{e^{-θ} ( 3sin(3θ)-cos(3θ) )}{10}
4) \int\limits^1_0 {x^3 · \sqrt{4+x^2} } \, dx = \frac{x²(x²+4)^{3/2}}{5} - \frac{8(x²+4)^{3/2}}{15} = \frac{64}{15} - \frac{5^{3/2}}{3}
5) \int\limits^{π/8}_0 {cos^4 (2x) } \, dx =\frac{sin(8x} + 8sin(4x)+24x}{6}=
=\frac{3π+8}{64}
6) ∫ sin^3 (x) dx = \frac{cos^3 (x)}{3} - cos x
7) ∫ sec^4 (x) tan^3 (x) dx = \frac{tan^6(x)}{6} + \frac{tan^4(x)}{4}
8) ∫ tan^5 (x) sec(x) dx = \frac{sec^5 (x)}{5} -\frac{2sec^3 (x)}{3}+ sec x
In standard form the answer would be y=-4x-3
Answer:
C.
; 48 strands of bacteria
Step-by-step explanation:
Fred placed 3 strands of bacteria in a petri dish.
The bacteria strands double every hour.
Formula : y = ab^x
Where a is the initial value
b = growth rate
x = hours
So, A formula to represent how many bacteria strands are present at the nth hour : 
Now we are supposed to find how many strands of bacteria are present at 4 hours.
Substitute the value in the formula :
f(4)=48
Hence 48 strands of bacteria are present at 4 hours.
Answer:
3 groups of -2
As the digit in the bracket is in negative form,
when we multiply positive times negative it will definitely be negative
