The first thing you have to realize is that
tangent is the
slope of a curve on a given point. You can solve for the slope by finding the derivative of the given function. So:
Next use
product rule (I recommend watching videos if you're confused):
![= [sin(x)] + [x*cos(x)]](https://tex.z-dn.net/?f=%3D%20%5Bsin%28x%29%5D%20%2B%20%5Bx%2Acos%28x%29%5D)
Next substitute you x-value (π/2) into your derivative:
![= [sin( \frac{ \pi}{2} )] +[ \frac{\pi}{2}*cos( \frac{\pi}{2})]](https://tex.z-dn.net/?f=%3D%20%5Bsin%28%20%20%5Cfrac%7B%20%5Cpi%7D%7B2%7D%20%29%5D%20%2B%5B%20%5Cfrac%7B%5Cpi%7D%7B2%7D%2Acos%28%20%5Cfrac%7B%5Cpi%7D%7B2%7D%29%5D%20%20)
So our slope at π/2 is 1. Next we use our slope-form and substitute our given value and solve for y-intercept (algebra-stuff)
So we get our equation:
So our answer is E
Feel free to ask any questions.
Hopes this helps!
The answer is 1,350 because you have to subtract.
no,Ocean Currents are influenced by two types of forces
<span>Primary Forces--start the water moving</span>
The primary forces are:
1. Solar Heating
2. Winds
3. Gravity
4. Coriolis
<span>2. Secondary Forces-<span>-influence where the currents flow</span></span>
Answer:
Check below for the answer and explanations
Explanation:
State-dependent memory: is the process of remembering things because they happen when you were in a state that is similar to your current state. Before the opening night, James would have gone through series of rehearsals, it will be easy for him to recollect the things he said or did during the rehearsal and apply same in the opening night.
Arousal theory: This theory explains that people tend to have a better performance when they are psychologically motivated. James felt motivated when he saw his psychology teacher in the audience. This motivation will enhance is performance.
Positive reinforcement: James motivated himself by wanting to use the concept learnt in his psychology class to have a positive thought about the surrounding atmosphere. This is a positive reinforcement because James felt motivated after this consideration.
Selective attention: This is the process of focusing only on relevant information or object. James paid more attention to those whose presence can aid his performance. He did not have to set his gaze on every member of the audience.
Imagery: In this context, imagery is the use of mental, imaginary pictures to influence one's thought process. As James is on the stage, there should be a mental picture of when he was taking similar roles during the rehearsals, this will help him perform better.
Social facilitation: The presence of a large audience aids the performance of some people. They tend to perform better in the presence of crowd. James can utilize the advantage of the cheers and the applause he receives from the audience for a better performance.
Sensory adaptation: As James spends more time outside performing, his senses tend to adapt to that atmosphere and the initial fright and timidity will disappear. At this stage, he begins to perform incredibly well.
