THOMAS CALCULUS 14TH EDITION SOLUTION MANUAL 2026 COMPLETE SOLUTIONS AND VERIFIED ANSWERS

THOMAS CALCULUS 14TH EDITION
SOLUTION MANUAL 2026 COMPLETE
SOLUTIONS AND VERIFIED
ANSWERS
◉ 2. f(x) = 1 - √x. Answer: domain=(0,∞); range=(-∞,1)


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◉ 3. F(x) = √5x + 10. Answer: domain=(-2,∞); range=(0,∞)


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◉ 4. g(x) = √x²-3x. Answer: domain=(-∞,0) and (3,∞); range=(0,∞)


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◉ 5. f(t) = 4/3-t. Answer: *domain=(-∞,3) U (3,∞)*; y in range and y =
- t, t<3 => 3-t > 0 => - t > 0, or if t > 3 => 3 - t < 0 => 4/3 - t <
0 => y can any nonzero real number => *range=(-∞,0) U (0,∞)*


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◉ 6. G(t) = 2/t²-16. Answer: domain=(-∞,-4) U (-4,4) U (4,∞);

, range=(-∞,-1/8) U (0, ∞)


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◉ 7. In exercise 7 which are the graphs are graphs of functions of x and
which are not. Answer: a. is not the graph of a function
b. is the graph of a function


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◉ 8. In exercise 8 which are the graphs are graphs of functions of x and
which are not. Answer: a. is not a graph of a function
b. is not a graph of a function


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◉ 9. Express the area and perimeter of an equilateral triangle as a
function of the triangle's side length x. Answer: Perimeter: p(x) = 3x
Area: a(x) = ( 1/2 ) ( base ) ( height ) = (1/2)(x) ( √3/2(x) ) = ( √3/4 )( x²
)


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