The solution to the problem is as follows:
let y = asinx + bcosx
<span>
dy/dx = acosx - bsinx </span>
<span>
= 0 for max/min </span>
<span>
bsinx = acosx </span>
<span>
sinx/cosx = a/b </span>
<span>
tanx = a/b </span>
<span>
then the hypotenuse of the corresponding right-angled triangle is √(a^2 + b^2) </span>
<span>the max/min of y occurs when tanx = a/b </span>
<span>
then sinx = a/√(a^2 + b^2) and cosx = b/√(a^2 + b^2) </span>
<span>
y = a( a/√(a^2 + b^2)) + b( b/√(a^2 + b^2)) </span>
<span>
= (a^2 + b^2)/√(a^2 + b^2) </span>
<span>
= √(a^2 + b^2)</span>
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Answer:
B
Step-by-step explanation:
Kahlil wants it to be more than 10 seconds long, and his friend wants it 5 seconds longer than that. So it has to be at least 10 + 5 seconds long or 15 seconds. B is the only option with >15, and all the possible track lengths below satisfy the inequality.
Answer:
At (0, -5)
Step-by-step explanation:
The y-intercept (b) is -5 (<em>slope intercept form: y = mx + b</em>) the line will thus cross the y axis at the point (0, -5).
Answer:
Side AC is congruent to side DF
Step-by-step explanation:
We are given that
Side AB=5 cm
BC=6 cm
Side DE=5 cm
Side EF= 6cm
We have to find an additional information would need to prove that 
by SSS.
When two triangles are congruent by SSS it means three sides of one triangle are congruent to corresponding sides of other triangle.
We have in triangle ABC and triangle DEF
Then ,
DEF
Reason: SSS postulates
Answer: Side AC is congruent to side DF
Answer:
A. 7
Step-by-step explanation:
2 or 3 caps = 13
6 or 7 caps = 6
13 - 6 = 7
- hope this helps! -
