Answer:
pyramid
Step-by-step explanation:
plz make me brainliest
Answer:
![A(4)=-4\pi](https://tex.z-dn.net/?f=A%284%29%3D-4%5Cpi%20)
![A(8)=-4\pi +8](https://tex.z-dn.net/?f=A%288%29%3D-4%5Cpi%20%2B8)
![A(12)=-4\pi +16](https://tex.z-dn.net/?f=A%2812%29%3D-4%5Cpi%20%2B16)
![A(14)=-4\pi +15](https://tex.z-dn.net/?f=A%2814%29%3D-4%5Cpi%20%2B15)
Step-by-step explanation:
we are given
![A(x)=\int\limits^x_0 f{x} \, dx](https://tex.z-dn.net/?f=A%28x%29%3D%5Cint%5Climits%5Ex_0%20f%7Bx%7D%20%5C%2C%20dx)
Calculation of A(4):
we can plug x=4
![A(4)=\int\limits^4_0 f{x} \, dx](https://tex.z-dn.net/?f=A%284%29%3D%5Cint%5Climits%5E4_0%20f%7Bx%7D%20%5C%2C%20dx)
Since, this curve is below x-axis
so, the value of integral must be negative
and it is quarter of circle
so, we can find area of quarter circle
radius =4
![A(4)=-\frac{1}{4}\times \pi \times (4)^2](https://tex.z-dn.net/?f=A%284%29%3D-%5Cfrac%7B1%7D%7B4%7D%5Ctimes%20%5Cpi%20%5Ctimes%20%284%29%5E2)
![A(4)=-4\pi](https://tex.z-dn.net/?f=A%284%29%3D-4%5Cpi%20)
Calculation of A(8):
we can plug x=8
![A(8)=\int\limits^8_0 f{x} \, dx](https://tex.z-dn.net/?f=A%288%29%3D%5Cint%5Climits%5E8_0%20f%7Bx%7D%20%5C%2C%20dx)
we can break into two parts
![A(8)=\int\limits^4_0 f{x} \, dx+\int\limits^8_4 f{x} \, dx](https://tex.z-dn.net/?f=A%288%29%3D%5Cint%5Climits%5E4_0%20f%7Bx%7D%20%5C%2C%20dx%2B%5Cint%5Climits%5E8_4%20f%7Bx%7D%20%5C%2C%20dx)
now, we can find area and then combine them
![A(8)=-4\pi +\frac{1}{2}\times 4\times 4](https://tex.z-dn.net/?f=A%288%29%3D-4%5Cpi%20%2B%5Cfrac%7B1%7D%7B2%7D%5Ctimes%204%5Ctimes%204)
![A(8)=-4\pi +8](https://tex.z-dn.net/?f=A%288%29%3D-4%5Cpi%20%2B8)
Calculation of A(12):
we can plug x=12
![A(12)=\int\limits^12_0 f{x} \, dx](https://tex.z-dn.net/?f=A%2812%29%3D%5Cint%5Climits%5E12_0%20f%7Bx%7D%20%5C%2C%20dx)
we can break into two parts
![A(12)=\int\limits^4_0 f{x} \, dx+\int\limits^8_4 f{x} \, dx+\int\limits^12_8 f{x} \, dx](https://tex.z-dn.net/?f=A%2812%29%3D%5Cint%5Climits%5E4_0%20f%7Bx%7D%20%5C%2C%20dx%2B%5Cint%5Climits%5E8_4%20f%7Bx%7D%20%5C%2C%20dx%2B%5Cint%5Climits%5E12_8%20f%7Bx%7D%20%5C%2C%20dx)
now, we can find area and then combine them
![A(12)=-4\pi +\frac{1}{2}\times 8\times 4](https://tex.z-dn.net/?f=A%2812%29%3D-4%5Cpi%20%2B%5Cfrac%7B1%7D%7B2%7D%5Ctimes%208%5Ctimes%204)
![A(12)=-4\pi +16](https://tex.z-dn.net/?f=A%2812%29%3D-4%5Cpi%20%2B16)
Calculation of A(14):
we can plug x=14
![A(14)=\int\limits^14_0 f{x} \, dx](https://tex.z-dn.net/?f=A%2814%29%3D%5Cint%5Climits%5E14_0%20f%7Bx%7D%20%5C%2C%20dx)
we can break into two parts
![A(14)=\int\limits^4_0 f{x} \, dx+\int\limits^8_4 f{x} \, dx+\int\limits^12_8 f{x} \, dx+\int\limits^14_12 f{x} \, dx](https://tex.z-dn.net/?f=A%2814%29%3D%5Cint%5Climits%5E4_0%20f%7Bx%7D%20%5C%2C%20dx%2B%5Cint%5Climits%5E8_4%20f%7Bx%7D%20%5C%2C%20dx%2B%5Cint%5Climits%5E12_8%20f%7Bx%7D%20%5C%2C%20dx%2B%5Cint%5Climits%5E14_12%20f%7Bx%7D%20%5C%2C%20dx)
now, we can find area and then combine them
![A(14)=-4\pi +\frac{1}{2}\times 8\times 4-\frac{1}{2}\times 1\times 2](https://tex.z-dn.net/?f=A%2814%29%3D-4%5Cpi%20%2B%5Cfrac%7B1%7D%7B2%7D%5Ctimes%208%5Ctimes%204-%5Cfrac%7B1%7D%7B2%7D%5Ctimes%201%5Ctimes%202)
![A(14)=-4\pi +16-1](https://tex.z-dn.net/?f=A%2814%29%3D-4%5Cpi%20%2B16-1)
![A(14)=-4\pi +15](https://tex.z-dn.net/?f=A%2814%29%3D-4%5Cpi%20%2B15)
Answer:Ok
Step-by-step explanation:
Answer:
![(-9,16]](https://tex.z-dn.net/?f=%28-9%2C16%5D)
Step-by-step explanation:
we know that
The domain of x is equal to the interval--------> ![(-2,3]](https://tex.z-dn.net/?f=%28-2%2C3%5D)
![-2< x \leq 3](https://tex.z-dn.net/?f=-2%3C%20x%20%5Cleq%203)
All real numbers greater than
and less than or equal to ![3](https://tex.z-dn.net/?f=3)
Let
![y=5x+1](https://tex.z-dn.net/?f=y%3D5x%2B1)
For ![x=3](https://tex.z-dn.net/?f=x%3D3)
![y=5x+1\\y=5(3)+1=16](https://tex.z-dn.net/?f=y%3D5x%2B1%5C%5Cy%3D5%283%29%2B1%3D16)
For ![x>-2](https://tex.z-dn.net/?f=x%3E-2)
![y >5(-2)+1\\y > -9](https://tex.z-dn.net/?f=y%20%3E5%28-2%29%2B1%5C%5Cy%20%3E%20-9)
so
The range of the function is the interval--------> ![(-9,16]](https://tex.z-dn.net/?f=%28-9%2C16%5D)
Answer:
the answer is I'll either go with c or d