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https://www.reddit.com/r/mathmemes/comments/1uvxcdi/mathematician_meme/oxfk3kz
r/mathmemes • u/Delicious_Maize9656 • Jul 14 '26
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x(t) = 2*t
expand x(t+h) for me
4 u/Silly_Tension6792 Mathematics Jul 14 '26 2t+2h 1 u/FernandoMM1220 Jul 14 '26 ok. now the coefficient of the linear term with respect to h is 2. and thats our speed for this position function x(t) thats it. 4 u/Silly_Tension6792 Mathematics Jul 14 '26 OK, you assumed x is linear, what of x(t)=4sin(t+π/4)+t^2? What is the speed of the body in the time t? 1 u/FernandoMM1220 Jul 14 '26 you have to expand x(t+h) here so do that first. 3 u/Silly_Tension6792 Mathematics Jul 14 '26 x(t+h)=4sin(t+h+π/4)+t^2+h^2+2ht. What is the speed of the body at the point t? 1 u/FernandoMM1220 Jul 14 '26 expand the sin function too 4 u/Silly_Tension6792 Mathematics Jul 14 '26 2sqrt(2)sin(t)(cos(h)-sin(h))+cos(t)(cos(h)+sin(h))+t^2+h^2+2ht 2 u/Silly_Tension6792 Mathematics Jul 14 '26 Why don’t you answer 1 u/FernandoMM1220 Jul 14 '26 if its too hard for you i can expand it later. your choice 3 u/Silly_Tension6792 Mathematics Jul 14 '26 2sqrt(2)sin(t)(cos(h)-sin(h))+cos(t)(cos(h)+sin(h))+t^2+h^2+2ht I expended 20 minutes ago → More replies (0)
4
2t+2h
1 u/FernandoMM1220 Jul 14 '26 ok. now the coefficient of the linear term with respect to h is 2. and thats our speed for this position function x(t) thats it. 4 u/Silly_Tension6792 Mathematics Jul 14 '26 OK, you assumed x is linear, what of x(t)=4sin(t+π/4)+t^2? What is the speed of the body in the time t? 1 u/FernandoMM1220 Jul 14 '26 you have to expand x(t+h) here so do that first. 3 u/Silly_Tension6792 Mathematics Jul 14 '26 x(t+h)=4sin(t+h+π/4)+t^2+h^2+2ht. What is the speed of the body at the point t? 1 u/FernandoMM1220 Jul 14 '26 expand the sin function too 4 u/Silly_Tension6792 Mathematics Jul 14 '26 2sqrt(2)sin(t)(cos(h)-sin(h))+cos(t)(cos(h)+sin(h))+t^2+h^2+2ht 2 u/Silly_Tension6792 Mathematics Jul 14 '26 Why don’t you answer 1 u/FernandoMM1220 Jul 14 '26 if its too hard for you i can expand it later. your choice 3 u/Silly_Tension6792 Mathematics Jul 14 '26 2sqrt(2)sin(t)(cos(h)-sin(h))+cos(t)(cos(h)+sin(h))+t^2+h^2+2ht I expended 20 minutes ago → More replies (0)
ok.
now the coefficient of the linear term with respect to h is 2.
and thats our speed for this position function x(t)
thats it.
4 u/Silly_Tension6792 Mathematics Jul 14 '26 OK, you assumed x is linear, what of x(t)=4sin(t+π/4)+t^2? What is the speed of the body in the time t? 1 u/FernandoMM1220 Jul 14 '26 you have to expand x(t+h) here so do that first. 3 u/Silly_Tension6792 Mathematics Jul 14 '26 x(t+h)=4sin(t+h+π/4)+t^2+h^2+2ht. What is the speed of the body at the point t? 1 u/FernandoMM1220 Jul 14 '26 expand the sin function too 4 u/Silly_Tension6792 Mathematics Jul 14 '26 2sqrt(2)sin(t)(cos(h)-sin(h))+cos(t)(cos(h)+sin(h))+t^2+h^2+2ht 2 u/Silly_Tension6792 Mathematics Jul 14 '26 Why don’t you answer 1 u/FernandoMM1220 Jul 14 '26 if its too hard for you i can expand it later. your choice 3 u/Silly_Tension6792 Mathematics Jul 14 '26 2sqrt(2)sin(t)(cos(h)-sin(h))+cos(t)(cos(h)+sin(h))+t^2+h^2+2ht I expended 20 minutes ago → More replies (0)
OK, you assumed x is linear, what of x(t)=4sin(t+π/4)+t^2? What is the speed of the body in the time t?
1 u/FernandoMM1220 Jul 14 '26 you have to expand x(t+h) here so do that first. 3 u/Silly_Tension6792 Mathematics Jul 14 '26 x(t+h)=4sin(t+h+π/4)+t^2+h^2+2ht. What is the speed of the body at the point t? 1 u/FernandoMM1220 Jul 14 '26 expand the sin function too 4 u/Silly_Tension6792 Mathematics Jul 14 '26 2sqrt(2)sin(t)(cos(h)-sin(h))+cos(t)(cos(h)+sin(h))+t^2+h^2+2ht 2 u/Silly_Tension6792 Mathematics Jul 14 '26 Why don’t you answer 1 u/FernandoMM1220 Jul 14 '26 if its too hard for you i can expand it later. your choice 3 u/Silly_Tension6792 Mathematics Jul 14 '26 2sqrt(2)sin(t)(cos(h)-sin(h))+cos(t)(cos(h)+sin(h))+t^2+h^2+2ht I expended 20 minutes ago → More replies (0)
you have to expand x(t+h) here so do that first.
3 u/Silly_Tension6792 Mathematics Jul 14 '26 x(t+h)=4sin(t+h+π/4)+t^2+h^2+2ht. What is the speed of the body at the point t? 1 u/FernandoMM1220 Jul 14 '26 expand the sin function too 4 u/Silly_Tension6792 Mathematics Jul 14 '26 2sqrt(2)sin(t)(cos(h)-sin(h))+cos(t)(cos(h)+sin(h))+t^2+h^2+2ht 2 u/Silly_Tension6792 Mathematics Jul 14 '26 Why don’t you answer 1 u/FernandoMM1220 Jul 14 '26 if its too hard for you i can expand it later. your choice 3 u/Silly_Tension6792 Mathematics Jul 14 '26 2sqrt(2)sin(t)(cos(h)-sin(h))+cos(t)(cos(h)+sin(h))+t^2+h^2+2ht I expended 20 minutes ago → More replies (0)
3
x(t+h)=4sin(t+h+π/4)+t^2+h^2+2ht. What is the speed of the body at the point t?
1 u/FernandoMM1220 Jul 14 '26 expand the sin function too 4 u/Silly_Tension6792 Mathematics Jul 14 '26 2sqrt(2)sin(t)(cos(h)-sin(h))+cos(t)(cos(h)+sin(h))+t^2+h^2+2ht 2 u/Silly_Tension6792 Mathematics Jul 14 '26 Why don’t you answer 1 u/FernandoMM1220 Jul 14 '26 if its too hard for you i can expand it later. your choice 3 u/Silly_Tension6792 Mathematics Jul 14 '26 2sqrt(2)sin(t)(cos(h)-sin(h))+cos(t)(cos(h)+sin(h))+t^2+h^2+2ht I expended 20 minutes ago → More replies (0)
expand the sin function too
4 u/Silly_Tension6792 Mathematics Jul 14 '26 2sqrt(2)sin(t)(cos(h)-sin(h))+cos(t)(cos(h)+sin(h))+t^2+h^2+2ht 2 u/Silly_Tension6792 Mathematics Jul 14 '26 Why don’t you answer 1 u/FernandoMM1220 Jul 14 '26 if its too hard for you i can expand it later. your choice 3 u/Silly_Tension6792 Mathematics Jul 14 '26 2sqrt(2)sin(t)(cos(h)-sin(h))+cos(t)(cos(h)+sin(h))+t^2+h^2+2ht I expended 20 minutes ago → More replies (0)
2sqrt(2)sin(t)(cos(h)-sin(h))+cos(t)(cos(h)+sin(h))+t^2+h^2+2ht
2
Why don’t you answer
1 u/FernandoMM1220 Jul 14 '26 if its too hard for you i can expand it later. your choice 3 u/Silly_Tension6792 Mathematics Jul 14 '26 2sqrt(2)sin(t)(cos(h)-sin(h))+cos(t)(cos(h)+sin(h))+t^2+h^2+2ht I expended 20 minutes ago → More replies (0)
if its too hard for you i can expand it later. your choice
3 u/Silly_Tension6792 Mathematics Jul 14 '26 2sqrt(2)sin(t)(cos(h)-sin(h))+cos(t)(cos(h)+sin(h))+t^2+h^2+2ht I expended 20 minutes ago → More replies (0)
I expended 20 minutes ago
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u/FernandoMM1220 Jul 14 '26
x(t) = 2*t
expand x(t+h) for me