Answer:
11.47 in cubic centimeters
Step-by-step explanation:
<em>9)</em>
<em>- 12xy/7x⁴ × 21x⁵y²/4y = - 9x²y²</em>
<em>10)</em>
<em>- 3x⁵/x¹³ × 2x¹⁰y/15y² = -2x²/5y</em>
<em>11)</em>
<em>4xy¹¹/x⁷y⁶ × 6x⁸y/8x³ = 3y⁶/x</em>
<em>12)</em>
<em>y¹⁰/2x³ × 20x¹⁴/xy⁶ = 10x¹⁰y⁴</em>
<em>13)</em>
<em>5x⁻²/3x × 2y³/x¹⁰ = 10y³/3x¹³</em>
<em>14)</em>
<em>(5xy/8x⁻¹y²)² × 26y³/5x²y⁵ =</em>
<em>= 25x⁴/64y² × 26/5x²y²</em>
<em>= 65x²/32y⁴</em>
<em />
9514 1404 393
Answer:
c = -3; d = 5
Step-by-step explanation:
The function is differentiable if it is continuous and the derivative is continuous.
This function will be continuous if the limit as x approaches 3 from either side is the same. From the left, the limit is ...
5(3^2) +c = 45 +c
From the right, the limit is ...
d(3^2) -3 = 9d -3
__
The derivative will be continuous if the limit as x approaches 3 from either side is the same. From the left, the limit is ...
f'(x) = 10x
= 10(3) = 30
From the right, the limit is ...
f'(x) = 2dx
= 2d(3) = 6d
__
This gives us a pair of simultaneous equations in 'c' and 'd':
45 +c = 9d -3
6d = 30
The latter tells us d = 5. Then the former tells us ...
45 +c = 9(5) -3 ⇒ c = -3
The function is differentiable if c = -3 and d = 5.
_____
<em>Additional comment</em>
With these values, the function becomes ...
Answer:
Ok here are given angle 1 is equal to angle 3 is angles 1 and 2 are equal so the angle 2 and 3 e are also equal if you understand please like and follow me