For the following function f(2) = Asinz + B cosz, for some non zero constants A and B, defined on 0,2x which of the following(s) is(are) true? Notice that The given function may be expressed as V,Pan(z +a), where a E 0, such thatcos a Select one or more: a. The critical values of f(z) are -aand a b. The point of inflection of y = f(z) is (1– a,0) c. The function f(z) is strictly decreasing on a, – a and strictly increasing on ]0, - a[ and ]- a, 2r| d. The curve y= f(z) is concave down on |0, x – a[and concave up on a – a, 2x| e. The cntical values of f(z) are and f. The critical value of f(z) are T – A (12) ars (3-a VA* + E) and ( - a, -VA² + B°) g. The points of infiection of y = h. The function f(z) is strictly increasing on – a,÷ – a and strictly decreasing on ]0. 를 -a[ and] 플 -a, 2r i. The curve y = f(z) is concaVe up on 0, x a and concave down on * - a, 27| None

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
For the following function
f) = Asinz+B cosz,
for some non – zero constants A and B,
defined on 0, 2x which of the following(s) is(are) true?
Notice that The given function may be expressed as
VIPan(z+a),
where a E 0, T such that cos a
Select one or more:
a. The critical values of f(z) are a and a
b. The point of inflection of y = f(z) is (T- a, 0)
c. The function f(z) is strictly decreasing on a, a[and strictly increasing on |0, a[ and ]-a, 2x[
d. The curve y= f(x) is concave down on 0,
a[and concave up on a
a, 2x
e. The cnitical values of f(z) are and
f. The critical value of f(z) are A – a
g. The points of infiection of y = f(z) are
and
a,
h. The function (z) is strictly increasing on a,- - a and strictly decreasing on
J0. 를-al and ] -a, 2x
1. The curve y = f(1) is concave up on0, T – a and concave down on
a, 2x[
j. None
Transcribed Image Text:For the following function f) = Asinz+B cosz, for some non – zero constants A and B, defined on 0, 2x which of the following(s) is(are) true? Notice that The given function may be expressed as VIPan(z+a), where a E 0, T such that cos a Select one or more: a. The critical values of f(z) are a and a b. The point of inflection of y = f(z) is (T- a, 0) c. The function f(z) is strictly decreasing on a, a[and strictly increasing on |0, a[ and ]-a, 2x[ d. The curve y= f(x) is concave down on 0, a[and concave up on a a, 2x e. The cnitical values of f(z) are and f. The critical value of f(z) are A – a g. The points of infiection of y = f(z) are and a, h. The function (z) is strictly increasing on a,- - a and strictly decreasing on J0. 를-al and ] -a, 2x 1. The curve y = f(1) is concave up on0, T – a and concave down on a, 2x[ j. None
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