Step-by-step explanation:
y = (cos x)^(sin x)
Take log both sides.
ln y = ln ((cos x)^(sin x))
ln y = (sin x) ln (cos x)
Take derivative.
1/y dy/dx = (sin x) (1/cos x) (-sin x) + (cos x) ln (cos x)
dy/dx = y [ (cos x) ln (cos x) − sin x tan x ]
dy/dx = (cos x)^(sin x) [ (cos x) ln (cos x) − sin x tan x ]
Your answer is correct.
Answer:
C. 42
Step-by-step explanation:
<em>Since the triangle making up the base of the right triangular pyramid is equilateral, the three lateral triangles will have equal areas. To find the surface area of the pyramid, find the area of one of the lateral triangles and multiply it by 3. Then, add that to the area of the triangle that forms the base.</em>
<em>Area of Lateral Triangle = 1/2 · base · height</em>
<em> = 1/2 · X · Z</em>
<em> = 1/2 · 4 units · 6 units</em>
<em> = 12 square units</em>
<em>Area of Base Triangle = 1/2 · base · height</em>
<em> = 1/2 · X · Y</em>
<em> = 1/2 · 4 units · 3 units</em>
<em> = 6 square units</em>
<em>Now, use the method described above to find the surface area of the pyramid.</em>
<em>Surface Area = 3( Area lateral ) + ( Area base )</em>
<em> = 3 ( 12 square units ) + ( 6 square units )</em>
<em> = 42 square units</em>
Answer:
Growth: 3
y-intercept: 5
Step-by-step explanation:
1. Find the equation in slope-intercept form:
-6x+2y=10
2y=6x+10
y=3x+5
2. Then we can easily identify the growth and y-intercept.
Growth: 3
y-intercept: 5
So we know he made 4,650 of sales and we need 2.5% of that
First to find 2.5% of 4650 we could do
x/4650 = 2.5/100
Cross multiply to get
100x = 11625
x = 116.25
So his salary for this week would be 225 + 116.25 = 341.25
Answer:
Down payment
In general, a larger down payment means a lower interest rate, because lenders see a lower level of risk when you have more stake in the property. ... Mortgage insurance, which protects the lender in the event a borrower stops paying their loan, adds to the overall cost of your monthly mortgage loan payment.
Step-by-step explanation:
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