Suppose that w and r are continuous functions on (−∞, ∞), W (x) is an invertible antiderivative of w(x), and R(x) is an antiderivative of r(x). Circle all of the statements that must be true. A. W(z) + R(z) + 3 is an antiderivative of w(z) +r(x).B. W(r) + R(z) is an antiderivative of w(z) + r(r) + 3.C. cos(W (z)) is an antiderivative of sin(w(r))D. ew(=) is an antiderivative of w(z)e(=),E. eR(e) is an antiderivative of r(r)e).r(r)F. If w is never zero, then W-(R(z)) is an antiderivative ofw(W-(R(z))"

We have to check whether given statement is true or false.

W(2) + R(z) +3 is an antiderivative of w(z) +r(z). W(z) + R(z) is an antiderivative of w(z) +r(z) +3. cos(W(z)) is an antiderivative of sin(w(z) W(=) is an antiderivative of w(z)e(a), Ra) is an antiderivative of r(z)eRa). r(z) (W-(R(z)) If w is never zero, then W-(R(z)) is an antiderivative of

W(2) + R(z) +3 is an antiderivative of w(z) +r(z). W(z) + R(z) is an antiderivative of w(z) +r(z) +3. cos(W(z)) is an antiderivative of sin(w(z) W(=) is an antiderivative of w(z)e(a), Ra) is an antiderivative of r(z)eRa). r(z) (W-(R(z)) If w is never zero, then W-(R(z)) is an antiderivative of

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Suppose that w and r are continuous functions on (−∞, ∞), W (x) is an invertible antiderivative of w(x), and R(x) is an antiderivative of r(x). Circle all of the statements that must be true.

A. W(z) + R(z) + 3 is an antiderivative of w(z) +r(x).
B. W(r) + R(z) is an antiderivative of w(z) + r(r) + 3.
C. cos(W (z)) is an antiderivative of sin(w(r))
D. ew(=) is an antiderivative of w(z)e(=),
E. eR(e) is an antiderivative of r(r)e).
r(r)
F. If w is never zero, then W-(R(z)) is an antiderivative of
w(W-(R(z))"

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