shift t 2. Two triangles are similar if the only difference is size. That is, all corresponding angles are equal and all corresponding sides are in proportion (have the same ratio). Consider the below triangles: 1 shift ctri 4. Q 6. a) Notice that ZP = LX, LQ = LY, and ZR = LZ. If A PQR is similar to A XYZ, the following equation holds: PQ QR RP %3D %3D XY YZ ZX Where PQ corresponds to XY, QR corresponds to YZ, and RP corresponds to ZX. Find the scale factor (the common ratio). b) Given the scale factor, find the length of side ZX 3. If A(x) represents an area function and t represents time, then dA represents the rate of change dt (derivative) of the area with respect to time. Moreover, if the area is increasing over time, dA > 0 dt dA and if the area is decreasing over time, < 0. dt Suppose x represents the distance a car travels over time. Considering the notation for the rate of change of the area above, what notation could we use to represent the rate of change (or velocity) of the car over time? dy 4. Given y = x2 +t, find dt'
shift t 2. Two triangles are similar if the only difference is size. That is, all corresponding angles are equal and all corresponding sides are in proportion (have the same ratio). Consider the below triangles: 1 shift ctri 4. Q 6. a) Notice that ZP = LX, LQ = LY, and ZR = LZ. If A PQR is similar to A XYZ, the following equation holds: PQ QR RP %3D %3D XY YZ ZX Where PQ corresponds to XY, QR corresponds to YZ, and RP corresponds to ZX. Find the scale factor (the common ratio). b) Given the scale factor, find the length of side ZX 3. If A(x) represents an area function and t represents time, then dA represents the rate of change dt (derivative) of the area with respect to time. Moreover, if the area is increasing over time, dA > 0 dt dA and if the area is decreasing over time, < 0. dt Suppose x represents the distance a car travels over time. Considering the notation for the rate of change of the area above, what notation could we use to represent the rate of change (or velocity) of the car over time? dy 4. Given y = x2 +t, find dt'
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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2. Two triangles are similar if the only difference is size. That is, all corresponding angles are equal
and all corresponding sides are in proportion (have the same ratio). Consider the below triangles:
1 shift
4.
R
ctri
6.
Y.
a) Notice that LP LX, LQ = LY, and ZR = LZ. If A PQR is similar to A XYZ, the following
equation holds:
RP
QR
PQ
YZ ZX
%3D
XY
Where PQ corresponds to XY, QR corresponds to YZ, and RP corresponds to ZX.
Find the scale factor (the common ratio).
b) Given the scale factor, find the length of side ZX
dA
3. If A(x) represents an area function and t represents time, then
represents the rate of change
dt
(derivative) of the area with respect to time. Moreover, if the area is increasing over time,
dA
> 0
dt
dA
and if the area is decreasing over time,
< 0.
dt
Suppose x represents the distance a car travels over time. Considering the notation for the rate of
change of the area above, what notation could we use to represent the rate of change (or velocity)
t fir
of the car over time?
dy
4. Given y = x2 +t, find
dt
3.
%24
3.
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