Y-intercept of f(x) is a value of function for x = 0.
y = 6^x ⇒ f(x) = 6^x
f(0) = 6^0 = 1
Answer: (0; 1)
Answer:
a) The marginal cost function is given by
C'(x) = 4 + 0.04x + 0.0003x² (in dollars)
b) C'(70) = $8.27
Step-by-step explanation:
C(x) = 1000 + 4x + 0.02x² + 0.0001x³
a) Marginal cost is usually defined as the cost of producing one extra unit of product. It expresses how much the total cost is changing with respect to number of units of product.
Mathematically,
MC = (dC/dx) = C'(x)
For this question,
C'(x) = 4 + 0.04x + 0.0003x²
b) C'(70) means the marginal cost at x = 70 units, that is, how much the total cost is changing after the production of 70 units; the cost of producing one extra unit of product after producing 70 units.
C'(x) = 4 + 0.04x + 0.0003x²
C'(70) = 4 + 0.04(70) + 0.0003(70²)
C'(70) = $8.27
Hope this helps!
Answer:
-2 m/s^2
Step-by-step explanation:
Just as you would calculate the velocity when a body moves from point A to point B in a time T, we are going to calculate the acceleration as the difference of the velocities (final - initial) and divide it by the time it took:
Velocity_final = 10 m/s
Velocity_initial = 20 m/s
Time = 5 s
acceleration = (Velocity_final - Velocity_inital)/Time
= (10 m/s - 20 m/s)/5 s
= (-10 m/s) / 5s
= -2 m/s^2
The acceleration in m/s^2 is -2
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