Answer:
the particle is at point B at t = 3 s
Step-by-step explanation:
Solution:-
- The coordinates of the path that a particle follows through points A to B to C.
- The coordinates of the particle position ( x , y ) are differentiable function of t, where, the rate of change of x-coordinate is given by:
- The slope of the curve at point B, in mathematical terms that is called the inflection point.
- The independent variable time (t) can be determined for the particle when it is at point B. Where the x'(t) is set to zero, and the critical value defines the point B.
- Hence, the particle is at point B at t = 3 s.
Answer:
Part a) Tim has completed the greater amount of work
Part b) They have completed together of the project or of the project
Step-by-step explanation:
Part a) Who has completed the greater amount of work?
we have
Jaime has 5/11 of a project completed
Tim has 7/13 of a project completed
Multiply 5/11 by 13/13 and 7/13 by 11/11
so
Jaime --->
Tim --->
Remember that
When fractions have the same denominator, the larger fraction is the one with the larger numerator
therefore
Tim has completed the greater amount of work
Part b) How much of the project have they completed together?
we have that
Jaime has 65/143 of a project completed
Tim has 77/143 of a project completed
Sum the fraction of the project completed by Jaime plus the fraction of the project completed by Tim
Convert to percentage
Multiply by 100
Answer:
Yes
Step-by-step explanation:
The sum of any 2 sides of a triangle are greater than the 3rd side.
2,2,3 satisfies this condition.
Let’s see, for 6 servings he needed 4 carrots, meaning every carrot was equal to 1.5 servings. 15/1.5 is 10, 10 carrots for 15 servings.
Answer:
6.3 cm by 6.3 cm by 12.6cm
Step-by-step explanation:
Volume of the box=
The minimal dimensions of a box always occur when the base is a square.
Surface Area of a cylinder=
Surface Area of the sides and bottom=
Surface Area for the top =
The material for the sides and bottom costs $0.05 per
The material for the top costs $0.15 per
Therefore Cost of the box
Recall:
The minimum value of C is at the point where the derivative is zero.
The dimensions that would minimize the cost are 6.3 cm by 6.3 cm by 12.6cm