The letters x and y represent rectangular coordinates. Write the equation using polar coordinates (r, ?).y = x
A. sin ? = - cos ?
B. r = cos ?
C. r = sin ?
D. sin ? = cos ?
Answer: D
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Solve the problem.Consider the functions f(x) = x2 and g(x) = x3 and their linearizations at the origin. Over some interval the approximation error for g(x) is less than the approximation error for f(x) for all x within the interval. Derive a reasonable approximation for the value of ?. Show your work. (Hint, the absolute value of the second derivative of each function gives a measure of how quickly the slopes of the function and its linear approximation are deviating from one another.)
What will be an ideal response?
Simplify the expression.2
A.
B.
C. 2
D.
Multiply.(7 - 5i)(7 + 9i)
A. 94 - 28i B. -45i2 + 28i + 49 C. 4 - 98i D. 94 + 28i
Use the Factor Theorem to determine whether x - c is a factor of f(x).f(x) = x4 + 7x3 + 2x2 + 9x - 35; x + 7
A. Yes B. No