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Calculus
Ques:2
Use Differentiation of Vector-Valued Functions to calculate the derivative of each of the
following functions.
a. r(t)=(6t+8)i+(4t2+2t−3)jr(t)=(6t+8)i+(4t2+2t−3)j
b. r(t)=3costi+4sintj
Use Differentiation of Vector-Valued Functions to calculate the derivative of each of the
following functions.
a. r(t)=(6t+8)i+(4t2+2t−3)jr(t)=(6t+8)i+(4t2+2t−3)j
b. r(t)=3costi+4sintj
Calculus
Ques:1
1. Find r ′ and T for r = ht 2 , 1, ti
2. Find r ′ and T for r = hcos t, sin 2t, t2 i.
1. Find r ′ and T for r = ht 2 , 1, ti
2. Find r ′ and T for r = hcos t, sin 2t, t2 i.
Calculus
Suppose S and C are subset of R^3. S is the unit open sphere with centre at the origin and C is the open cube= { P(x,y,z)| -1<x<1, -1<y<1, -1<z<1. Which of the following is true. Justify your answer
1. S⊂C 2. C⊂S
1. S⊂C 2. C⊂S
Calculus
Find the domain 1.f(x,y,z)= z/(x^2-y^2)
2. f(x,y)= x sin(1/x)+ y sin(1/y)
3. f(x,y,z)= 1/(√ (4-x^2-y^2-z^2
2. f(x,y)= x sin(1/x)+ y sin(1/y)
3. f(x,y,z)= 1/(√ (4-x^2-y^2-z^2
Calculus
Prove that the map T: D to R^2 defined by T(x,y)= (u,v) is not invertible where u=x cos y , v= x sin y.
Calculus
Evaluate integral fraction numerator x to the power of 4 over denominator square root of 4 minus x squared end root end fraction d x
Calculus
If the productivity of a company is represented by the function
f(x,y)=40x3/4y1/4 with the utilization of x units of labour and y units of capital. Find
i) Fx and Fy and interpret
ii)If today the company is using 400 units of labour 250 units of capital. Determine the change in productivity if the labour is increased by 12 units and the capital is decreased by 8units.
Calculus
Find the total differential of z=xsiny-ysinx
Calculus
the barking distance S of car traveling v m/s is approximated S=v+v^2/20.Determine velocities that result in barki g distance of less then 55m.Also put on real line.
Calculus
Differentiate the following with regard to x :
y=x^4 times sin x
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#339914 on Dec 2023
#339914 on Dec 2023