# Answer to Question #59909 in AJAX | JavaScript | HTML | PHP for joseph ogala

Question #59909

Determine the unit tangent at the point where t=2 on the curve

x=t2+1

x=t2+1

,

y=4t−3

y=4t−3

and

z=2t2−6t

z=2t2−6t

.If

A=5t2+tj−t3k

A=5t2+tj−t3k

and

B=sinti−costj

B=sinti−costj

. evaluate

ddt(A⋅B)

If

A=5t2+tj−t3k

A=5t2+tj−t3k

and

B=sinti−costj

B=sinti−costj

. evaluate

ddt(A×B)

If

A=5t2+tj−t3k

A=5t2+tj−t3k

and

B=sinti−costj

B=sinti−costj

. evaluate

ddt(A⋅A)

If

A=sinui+cosuj+uk

A=sinui+cosuj+uk

,

B=cosui−sinuj−3k

B=cosui−sinuj−3k

and

C=2i+3j−k

C=2i+3j−k

, evaluate

ddu(A×(B×C))

ddu(A×(B×C))

at u=0

x=t2+1

x=t2+1

,

y=4t−3

y=4t−3

and

z=2t2−6t

z=2t2−6t

.If

A=5t2+tj−t3k

A=5t2+tj−t3k

and

B=sinti−costj

B=sinti−costj

. evaluate

ddt(A⋅B)

If

A=5t2+tj−t3k

A=5t2+tj−t3k

and

B=sinti−costj

B=sinti−costj

. evaluate

ddt(A×B)

If

A=5t2+tj−t3k

A=5t2+tj−t3k

and

B=sinti−costj

B=sinti−costj

. evaluate

ddt(A⋅A)

If

A=sinui+cosuj+uk

A=sinui+cosuj+uk

,

B=cosui−sinuj−3k

B=cosui−sinuj−3k

and

C=2i+3j−k

C=2i+3j−k

, evaluate

ddu(A×(B×C))

ddu(A×(B×C))

at u=0

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