Answer:
See explanation.
General Formulas and Concepts:
<u>Algebra I</u>
- Terms/Coefficients
- Factoring
<u>Algebra II</u>
<u>Pre-Calculus</u>
<u>Calculus</u>
Differentiation
- Derivatives
- Derivative Notation
Derivative Property [Multiplied Constant]:
Derivative Property [Addition/Subtraction]:
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Derivative Rule [Quotient Rule]:
Parametric Differentiation:
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
<u>Step 2: Find Derivative</u>
- [<em>x</em>] Differentiate [Basic Power Rule and Quotient Rule]:
- [<em>y</em>] Differentiate [Basic Power Rule and Quotient Rule]:
- Substitute in variables [Parametric Derivative]:
- [Parametric Derivative] Simplify:
- [Parametric Derivative] Polynomial Long Division:
- [Parametric Derivative] Factor:
Here we see that if we increase our values for <em>t</em>, our derivative would get closer and closer to 0.5 but never actually reaching it. Another way to approach it is to take the limit of the derivative as t approaches to infinity. Hence .
Topic: AP Calculus BC (Calculus I + II)
Unit: Parametrics
Book: College Calculus 10e
Answer:
a. hourly rate
b. the cost before the tax
c. tax rate
d. tax amount
e. 299.6
Step-by-step explanation:
When you look at the formula, since h represents the number of hours and it is multiplied with 80, you can tell that 80 is the hourly rate. This is how you would calculate the cost if there was no tax. Also, you can see that it is also multiplied with 0.07, that implies 0.07 is the tax rate and 0.07(80h) is the tax amount.
Since h represents the number of hours in the given formula:
→ 0.07(80h)+80h = 0.07(80(3.5)) + 80(3.5) = 19.6 + 280 = 299.6
Answer:
# = -2
Step-by-step explanation:
3 x # = -6
3 / -6 = -2
# = -2
answer is D. and you're welcome
Applying the angle of intersecting secants theorem, the measure of arc JML is: 262°.
<h3>What is the Angle of Intersecting Secants Theorem?</h3>
The angle of intersecting secants theorem states that when two lines form an external angle outside a circle, the measure of the angle is half the difference between the measure of the major and minor intercepted arcs.
Thus:
m∠JKL = (measure of arc JML - measure of arc JL)/2 => angle of intersecting secants theorem
m∠JKL = 8x - 6
measure of arc JML = 25x - 13
measure of arc JL = 360 - (25x - 13)
Plug in the values
8x - 6 = [(25x - 13) - (360 - (25x - 13))/2]
Solve for x
2(8x - 6) = [(25x - 13) - (360 - 25x + 13)]
16x - 12 = [(25x - 13) - (373 - 25x)]
16x - 12 = 25x - 13 - 373 + 25x
16x - 12 = 50x - 386
16x - 50x = 12 - 386
-34x = -374
x = 11
Measure of arc JML = 25x - 13
Plug in the value of x
Measure of arc JML = 25(11) - 13 = 262°
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