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Mathematics, 18.12.2019 18:31 dmperez1213
Determine whether f(x)=2x^2 -6x +k has a maximum or minimum value, and determine the maximum or minimum value.
a) maximum value: k
b) minimum value: k
c) maximum value: k-9/2
d) minimum value: k-9/2
e) minimum value: k+9/2
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Mathematics, 22.06.2019 01:10, hellicuh
Evaluate 8x2 + 9x − 1 2x3 + 3x2 − 2x dx. solution since the degree of the numerator is less than the degree of the denominator, we don't need to divide. we factor the denominator as 2x3 + 3x2 − 2x = x(2x2 + 3x − 2) = x(2x − 1)(x + 2). since the denominator has three distinct linear factors, the partial fraction decomposition of the integrand has the form† 8x2 + 9x − 1 x(2x − 1)(x + 2) = correct: your answer is correct. to determine the values of a, b, and c, we multiply both sides of this equation by the product of the denominators, x(2x − 1)(x + 2), obtaining 8x2 + 9x − 1 = a correct: your answer is correct. (x + 2) + bx(x + 2) + cx(2x − 1).
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Determine whether f(x)=2x^2 -6x +k has a maximum or minimum value, and determine the maximum or mini...
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