Calculus
7th Edition
ISBN: 9781524916817
Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE
Publisher: Kendall Hunt Publishing
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Question
Chapter I, Problem 5PS
To determine
Find the value of the given determinant.
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2. Show that 2 cos(x)
3x has exactly one real solution.
If
find az/au and az/av.
?z/?u
Əz/dv =
z = sin(x² + y²),
x = u cos(v),
y = u sin(v),
REMARK. This problem is unusual: the system expects simplified answers. For example, if the correct answer is a function of u and v identically equal to 1, then
the expression exp(uv) *exp(-uv) would not be accepted, while the constant 1 would be.
HINT. Try to simplify the *function* itself before differentiating it.
Find y as a function of t if
y" + 4y' + 5y = 0, y(0) = 3, y (0) = 8.
y =
%3D
Note: This problem cannot interpret complex numbers. You may need to simplify your answer before submitting it.
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- Find y as a function of t if 50y" + 9y' + 16y = 0, y(0) = 8, y' (0) = 3. y(t) =|| Note: This problem cannot interpret complex numbers. You may need to simplify your answer before submitting it.arrow_forward. Find the real coefficients a and b such that the function u = 4x+4r'y+ar²y²-4ry+by is harmonic on C. %3D Find an entire function such that its real part is u from Problem 8.arrow_forward3 6. fx³ cos x²dxarrow_forward
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