Match the graph with its function using the x-intercepts.
A. f(x) = x1/2 + 2x1/4 + 1
B. f(x) = x1/2 - 15x1/4 - 16
C. f(x) = x1/2 + 2x1/4 - 1
D. f(x) = x1/2 + 15x1/4 - 16
Answer: D
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Find the unit tangent vector T and the principal unit normal vector N. r(t) = (10 + t)i + (4 + ln(sec t))j - 4k, -?/2 < t < ?/2
A. T = (cos t)i + (sin t)j; N = (- sin t)i + (cos t)j B. T = (cos t)i - (sin t)j; N = (-sin t)i - (cos t)j C. T = (-cos t)i - (sin t)j; N = (-cos t)i + (sin t)j D. T = (-cos t)i - (sin t)j; N = (sin t)i - (cos t)j
Solve the problem.Capital value is defined as where k is the annual rate of interest compounded continuously. Find the capital value of an asset that produces $5000 yearly income at 4% compounded continuously. Round to the nearest dollar.
A. $150,000 B. $125,000 C. $130,000 D. $100,000
Classify as true or false, assuming that a, b, c, and d are whole numbers and d ? 0.If ab, a ?0, and b ?0, then a
and b
.
A. True B. False
Use the graph of a power function and transformations to sketch the graph of the polynomial function.f(x) = -2x4
A.
B.
C.
D.