(a) The differential equation is separable, so we separate the variables and integrate:
When x = 0, we have y = 2, so we solve for the constant C :
Then the particular solution to the DE is
We can go on to solve explicitly for y in terms of x :
(b) The curves y = x² and y = 2x - x² intersect for
and the bounded region is the set
The area of this region is
Answer:
2 x 5
Step-by-step explanation:
in prime factorization, we divide until it gets to 1. In the case of 10 divide by 2 which will give you 5 divide by 5. Thats how I got 2 x 5
The answer would be 1/3 because if you divide 4 divided by 4 it's 1 and 12 divided by 4 is 3!
Answer:
976 square cm
Step-by-step explanation:
Area of one 2d triangle face: (24*14)/2=168 square cm
Area of both 2d triangles faces: 168 + 168 =336 square cm
Area of one side: 25*10=250 square cm
Area of both sides: 250+250=500
Area of base: 14*10=140 (since it's a triangular prism, there's only one base)
Surface Area: 336+500+140=976 square cm
Hope this helps! :)
Answer
Proof of (a)
Disagree with the ΔABD = ΔCBD by the SAS congruence postulate .
SAS congurence property
In this congurence property two sides and one angle of the two triangles are equal .
(1) BD = BD ( Common sides of the ΔABD and ΔCBD )
(2) AB =BC (B is the midpoint of the AC i.e it bisect AC in the two equal parts.)
but equal angles are not given
therefore disagree with the ΔABD = ΔCBD by the SAS congurence postulate .
Proof of (b)
SSS congurence property
In this congurence property three sides of the two triangles are equal .
In the ΔABD and ΔCBD .
(1) BD = BD ( Common sides of the ΔABD and ΔCBD )
(2) AB =BC (B is the midpoint of the AC i.e it bisect AC in the two equal parts.)
(3) AD=CD (Given )
ΔABD = ΔCBD by the SSS congurence theorem
Hence proved
