math
A function f is defined by f(x)=|x+ 4|. For what values of x is the graph of f not differentiable?
A: x = -4
B: x = 0
C: x = 4
D: The function is differentiable over its entire domain.
A: If the graph of a function has a sharp point, the function is not differentiable at that point. This is because the slopes directly to the left and right of the point do not approach the same value.
An absolute value function has a sharp point at its vertex. The graph off(x)=|x + 4| is a horizontal translation (to the left 4 units) of the standard absolute value function, y =|x|, which has vertex (0, 0). Thus, the vertex of fis (-4, 0), which means the function is not differentiable at x =-4. Choice (A) is correct.
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swat
which wars did the uss intrepid serve in
wwii, cold war and veitnam war
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Lá fhéile Pádraig sona dhuit
The function f has a removable discontinuity at:
A: x = -2 only
B: x = 0 only
C: x = -2 and x = 0
D: f(x) has no removable discontinuities
D: The only discontinuities that are removable are holes and holes with a point above or below—this function has neither. The function has 2 jump discontinuities (gaps), at x=-2 and x= 0, but neither of these is removable.
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top gun maveric
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200
what did the uss intrepid do for NASA
serve as a NASA recovery vessel.
gelato
Using only the table of values shown in the quiz above, which of the following best describes f′(x) and f′′(x) over the open interval (-1, 1)?
A: f′(x) < 0; f′′(x) < 0
B: f′(x) < 0; f′′(x) = 0
C: f′(x) > 0; f′′(x) < 0
D: f′(x) > 0; f′′(x) = 0
D: Examine the values in the table: f(x) increases as x gets larger, which indicates that f′(x), the slope of the function, is positive. This means f′(x)> 0, so eliminate (A) and (B).
To choose between (C) and (D), take a closer look at the slopes. The slope between the first pair of points is 3, and the slope between the second pair of points is also 3, so f′(x) is constant. This means f′′(x), which is the derivative of f′(x), must be 0. Choice (D) is correct
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61
when was the uss intrepid comisioned
1943
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Let f(x) be a differentiable function with f(-1)= 5 and f'(-1)= 2. Use the given information to find the local linear approximation of f(-0.9).
A: 4.9
B: 5.1
C: 5.2
D: 5.3
C: To use a local linear approximation, you need to find the equation of the tangent line. You’ve been given all the information you need in the question stem; you just need to piece it all together. The point on the function is given by f(-1)= 5, which translates to the point (-1, 5). The slope of the tangent line at x=-1 is given by f'(-1)= 2, so the slope is 2. Now the point-slope form of the tangent line is:
y-5 = 2(x-(-1))
y = 5+2(x+1)
Substituting x=-0.9 into the equation of the tangent line yields:
5+2(-0.9+1) = 5+2(0.1) = 5.2
That’s (C).
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bourne ultimatum
what is one of the most clasic gaming consoles
wii
what did the uss intrepid survive in WWII
five Kamikaze attacks and a torpedo strike
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Eu amo minha família
Theequation 24x2+25x−47ax−2=−8x−3−53ax−2 is true for all values of x≠2a, where a is a constant.
What is the value of a?
A) -16
B) -3
C) 3
D) 16
ANSWER EXPLANATION: There are two ways to solve this question. The faster way is to multiply each side of the given equation by ax−2 (so you can get rid of the fraction). When you multiply each side by ax−2, you should have:24x2+25x−47=(−8x−3)(ax−2)−53.You should then multiply (−8x−3) and (ax−2) using FOIL.24x2+25x−47=−8ax2−3ax+16x+6−53. Then, reduce on the right side of the equation.24x2+25x−47=−8ax2−3ax+16x−47.Since the coefficients of the x2-term have to be equal on both sides of the equation, −8a=24, or a=−3.The other option which is longer and more tedious is to attempt to plug in all of the answer choices for a and see which answer choice makes both sides of the equation equal. Again, this is the longer option, and I do not recommend it for the actual SAT as it will waste too much time.The final answer is B.
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jason bourne
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top gun
who were important crew on the uss intrepid
Many individuals who served on the USS Intrepid played important roles in its history. Captain Thomas Sprague, the first captain, emphasized teamwork and leadership. Numerous crew members survived numerous attacks, including Dan Watkins who survived four kamikaze attacks and a torpedo strike. Nick Grecco served during Vietnam and experienced the ship's struggles firsthand.
comment dire que la France est incroyable, en particulier la tour Eiffel et le Louve en français
la France est incroyable, en particulier la tour Eiffel et le Louve