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#BSCTrendingCoins / Mathematics Textbook & Expert-Verified What are all values of k for which the graph y=x 3 −3x 2 +k will have three distinct x-intercepts?
Asked by supergirl3210 • 05/07/2023 0:20 / 0:38 Community Answer This answer helped 7731810 people
7M 4.0 0 Values of k for which the **graph **y = x³ - 3x² + k will have three distinct x - intercepts are given by 0 < k < 4.
Given the **function **of the **graph **is,
y = x³ - 3x² + k, where k is constant.
**Differentiating **the function with respect to 'x' we get,
y' = 3x² - 6x
y'' = 6x - 6
Now, y' = 0 gives
3x² - 6x = 0
x² - 2x = 0
x(x - 2) = 0
x = 0, 2
Now, for x = 0, y''(0) = -6 < 0, so at this point the function has maximum value.
and for x = 2, y''(2) = 12 - 6 = 6 > 0, so at this point the function has minimum value.
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Please note that cryptocurrency markets are highly volatile, and prices can change rapidly. For the most current information, it's advisable to consult reputable financial news sources or cryptocurrency exchanges.
Binance Coin (BNB) is the native cryptocurrency of the Binance ecosystem, including the Binance Exchange and Binance Smart Chain (now BNB Chain). Initially launched on the Ethereum blockchain in 2017, BNB later migrated to Binance's own blockchain. It serves multiple purposes, such as paying for transaction fees on the Binance Exchange, participating in token sales on Binance Launchpad, and covering transaction fees on the BNB Chain.
Please note that cryptocurrency markets are highly volatile, and prices can change rapidly. For the most current information, it's advisable to consult reputable financial news sources or cryptocurrency exchanges.
Binance Coin (BNB) is the native cryptocurrency of the Binance ecosystem, including the Binance Exchange and Binance Smart Chain (now BNB Chain). Initially launched on the Ethereum blockchain in 2017, BNB later migrated to Binance's own blockchain. It serves multiple purposes, such as paying for transaction fees on the Binance Exchange, participating in token sales on Binance Launchpad, and covering transaction fees on the BNB Chain.
Please note that cryptocurrency markets are highly volatile, and prices can change rapidly. For the most current information, it's advisable to consult reputable financial news sources or cryptocurrency exchanges.
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Are you asking about a specific ETF, such as a crypto ETF (like a Bitcoin or BNB ETF), or traditional stock market ETFs?
ETF stands for Exchange-Traded Fund, which is a type of investment fund that trades on stock exchanges like a stock. ETFs can track various assets, including stocks, bonds, commodities, or cryptocurrencies.
Are you asking about a specific ETF, such as a crypto ETF (like a Bitcoin or BNB ETF), or traditional stock market ETFs?
ETF stands for Exchange-Traded Fund, which is a type of investment fund that trades on stock exchanges like a stock. ETFs can track various assets, including stocks, bonds, commodities, or cryptocurrencies.
Are you asking about a specific ETF, such as a crypto ETF (like a Bitcoin or BNB ETF), or traditional stock market ETFs?
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Are you asking about a specific ETF, such as a crypto ETF (like a Bitcoin or BNB ETF), or traditional stock market ETFs?
Binance Coin (BNB) is the native cryptocurrency of the Binance ecosystem, including the Binance Exchange and Binance Smart Chain (now BNB Chain). Initially launched on the Ethereum blockchain in 2017, BNB later migrated to Binance's own blockchain. It serves multiple purposes, such as paying for transaction fees on the Binance Exchange, participating in token sales on Binance Launchpad, and covering transaction fees on the BNB Chain.
Please note that cryptocurrency markets are highly volatile, and prices can change rapidly. For the most current information, it's advisable to consult reputable financial news sources or cryptocurrency exchanges.
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Please note that cryptocurrency markets are highly volatile, and prices can change rapidly. For the most current information, it's advisable to consult reputable financial news sources or cryptocurrency exchanges.
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Ethereum transitioned from Proof of Work (PoW) to Proof of Stake (PoS) with the Ethereum 2.0 upgrade, improving scalability, security, and energy efficiency. Its native cryptocurrency, Ether (ETH), is used for transactions, staking, and paying gas fees. The Ethereum ecosystem powers decentralized finance (DeFi), non-fungible tokens (NFTs), and Web3 applications. With ongoing upgrades like sharding, Ethereum aims to enhance transaction speeds and reduce costs, solidifying its role in the future of decentralized computing.
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