Expression 10: "y" plus "c" plus 2 "a" left parenthesis, "x" plus "d" minus "b" , right parenthesis minus StartFraction, left parenthesis, "x" plus "d" minus "b" minus 2 "a" left parenthesis, "y" plus "c" , right parenthesis , right parenthesis squared Over StartRoot, 4 "a" squared plus 1 , EndRoot , EndFraction equals 0y+c+2ax+d−b−x+d−b−2ay+c24a2+1=0
10
Expression 11: "y" squared plus 4 "a" "x" "y" plus 2 left parenthesis, "c" plus 2 "a" "d" minus 2 "a" "b" , right parenthesis "y" plus 4 "a" left parenthesis, "c" plus 2 "a" "d" minus 2 "a" "b" , right parenthesis "x" plus left parenthesis, "c" plus 2 "a" "d" minus 2 "a" "b" , right parenthesis squared plus 4 "a" squared "y" squared plus 16 "a" cubed "x" "y" plus 8 "a" squared left parenthesis, "c" plus 2 "a" "d" minus 2 "a" "b" , right parenthesis "y" plus 16 "a" cubed left parenthesis, "c" plus 2 "a" "d" minus 2 "a" "b" , right parenthesis "x" plus 4 "a" squared left parenthesis, "c" plus 2 "a" "d" minus 2 "a" "b" , right parenthesis squared equals "x" squared minus 4 "a" "x" "y" plus 2 left parenthesis, "d" minus "b" minus 2 "a" "c" , right parenthesis "x" plus 4 "a" squared "y" squared minus 4 "a" left parenthesis, "d" minus "b" minus 2 "a" "c" , right parenthesis "y" plus left parenthesis, "d" minus "b" minus 2 "a" "c" , right parenthesis squaredy2+4axy+2c+2ad−2aby+4ac+2ad−2abx+c+2ad−2ab2+4a2y2+16a3xy+8a2c+2ad−2aby+16a3c+2ad−2abx+4a2c+2ad−2ab2=x2−4axy+2d−b−2acx+4a2y2−4ad−b−2acy+d−b−2ac2
11
Expression 12: left parenthesis, "x" plus "d" minus "b" , right parenthesis squared plus left parenthesis, "y" plus "c" , right parenthesis squared equals StartFraction, 1 Over 16 , EndFractionx+d−b2+y+c2=116
12
Hidden Label: left parenthesis, 1 quarter cos left parenthesis, StartFraction, pi Over 2 , EndFraction minus arctan 2 "a" , right parenthesis minus "d" plus "b" , 1 quarter sin left parenthesis, StartFraction, pi Over 2 , EndFraction minus arctan left parenthesis, 2 "a" , right parenthesis , right parenthesis minus "c" , right parenthesis14cosπ2−arctan2a−d+b,14sinπ2−arctan2a−c
Label
equals=
left parenthesis, 0 , 0.2 5 , right parenthesis0,0.25
13
Expression 14: "f" left parenthesis, "x" , right parenthesis equals Start integral from 0 to "x" , end integral, StartRoot, 1 plus 4 "z" squared , EndRoot "d" "z"fx=∫x01+4z2dz
14
Expression 15: "g" left parenthesis, "x" , right parenthesis equals "x" StartRoot, 1 plus "x" squared , EndRoot left parenthesis, negative StartFraction, "x" Over StartRoot, 1 plus 5 "x" squared plus 4 "x" to the 4th power , EndRoot , EndFraction , right parenthesisgx=x1+x2−x1+5x2+4x4
15
Expression 16: "h" left parenthesis, "x" , right parenthesis equals "x" StartRoot, 1 plus "x" squared , EndRoot left parenthesis, StartFraction, left parenthesis, 1 plus 2 "x" squared , right parenthesis Over StartRoot, 1 plus 5 "x" squared plus 4 "x" to the 4th power , EndRoot , EndFraction , right parenthesishx=x1+x21+2x21+5x2+4x4
16
Expression 17: left parenthesis, 1 quarter cos left parenthesis, StartFraction, pi Over 2 , EndFraction minus arctan 2 "t" , right parenthesis minus "h" left parenthesis, "t" , right parenthesis plus "f" left parenthesis, "t" , right parenthesis , 1 quarter sin left parenthesis, StartFraction, pi Over 2 , EndFraction minus arctan left parenthesis, 2 "t" , right parenthesis , right parenthesis minus "g" left parenthesis, "t" , right parenthesis , right parenthesis14cosπ2−arctan2t−ht+ft,14sinπ2−arctan2t−gt
domain t Minimum: negative 100−100
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: 100100
17
Expression 18: 1 quarter hyperbolic cosine left parenthesis, 4 "x" , right parenthesis14cosh4x
18
Expression 19: "y" equals negative 1y=−1
negative 10−10
1010
19
Hidden Label: left parenthesis, "a" , negative 1 , right parenthesisa,−1
Label
equals=
left parenthesis, 0 , negative 1 , right parenthesis0,−1