Find the equation of the line tangent to the r(t)=(t^2+t)*i+sqrt(t)*j when t=3
Find the equation of the line tangent to the r(t)=(t^2+t)*i+sqrt(t)*j when t=3
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Find the equation of the line tangent to the
r(t)=(t^2+t)*i+sqrt(t)*j when t=3
find an equation for the plane tangent to the cone r(r,theta)=(rcostheta)i+(rsintheta)j+rk, r greaterthanorequalto 0, 0 lessthanorequalto theta lessthanorequalto 2pi, at the point P0(-1,sqrt(3),2) co...
find an equation for the plane tangent to the cone r(r,theta)=(rcostheta)i+(rsintheta)j+rk, r greaterthanorequalto 0, 0 lessthanorequalto theta lessthanorequalto 2pi, at the point P0(-1,sqrt(3),2) corresponding to (r,theta)=(2, 2pi/3). then find a cartesian equation for the surface and sketch the surface and tangent plane together.
1. find the derivative of f(×,y)=-4yx^3+xy^2 at P(1,1) in forward direction set by the line r(t)=(1+sqrt(2)t+sqrt(2)t...
1. find the derivative of f(×,y)=-4yx^3+xy^2 at P(1,1) in forward direction set by the line r(t)=(1+sqrt(2)t+sqrt(2)t 2. find an equation for the tangent plain at point P x^3+y^3=3xyz P(2,1,3/2)
For the polar equation r= 1-sinθ a) Sketch the graph for 0 ≤ t ≤ 2pi b) Find the points on the cardioid where the tangent line is horizontal c)Find the equation of the tangent line when theta=pi/3
For the polar equation r= 1-sinθ a) Sketch the graph for 0 ≤ t ≤ 2pi b) Find the points on the cardioid where the tangent line is horizontal c)Find the equation of the tangent line when theta=pi/3
12.1.24 Question Help The tangent line to a smooth curve r(t) = f()i + 96)j +...
12.1.24 Question Help The tangent line to a smooth curve r(t) = f()i + 96)j + h(t]k at t= to is the line that passes through the point (f(t):(to)."(to) parallel to (to)the curve's velocity vector at to User (to) and (t) to find parametric equations for the line that is tangent to the given curve at the given parameter value t= to (1)-(31²)i + (4 + 3)j + (52) 10-3 What is the standard parametrization for the tangent line? yo...
(1 point) Find a vector equation for the tangent line to the curve r(t) = (2/)...
(1 point) Find a vector equation for the tangent line to the curve r(t) = (2/) 7+ (31-8)+ (21) k at t = 9. !!! with -o0 <1 < 0
Find the equation of tangent line to the curve y = x2 –
Find the equation of tangent line to the curve y = x2 – \sqrt[3]{x} at the point (-1,0).
a. Find the curvature of the curve r(t)- (9+3cos 4t)i-(6+sin 4t)j+10k. o. Find the unit tangent vector T and the principal normal vector N to the curve -π/2<t<π/2. r(t) = (4 + t)i-(8+In(sec...
a. Find the curvature of the curve r(t)- (9+3cos 4t)i-(6+sin 4t)j+10k. o. Find the unit tangent vector T and the principal normal vector N to the curve -π/2<t<π/2. r(t) = (4 + t)i-(8+In(sect))j-9k, Find the tangential and normal components of the acceleration for the curve r(t)-(t2-5)i + (21-3)j +3k.
a. Find the curvature of the curve r(t)- (9+3cos 4t)i-(6+sin 4t)j+10k. o. Find the unit tangent vector T and the principal normal vector N to the curve -π/2
16. Find a set of parametrie equations t d) r(t)-(4t,3 cos(t).2sin(t) the line tangent to the gra...
Solve for 14(b,c) and 18 (b,c) please
16. Find a set of parametrie equations t d) r(t)-(4t,3 cos(t).2sin(t) the line tangent to the graph of r(t) (e.2 cos(t).2sin(t)) at to-0. Use the qu tion to approximate r(0.1). tion function to find the velocity and position vectors at t 2. 17. Find the principal unit normal vector to tih curve at the specified value of the parameter v(0)-0, r(0)-0 (b) a(t)cos(t)i - sin(t)i (a) r(t)-ti+Ij,t 2 (b) rt)-In(t)+(t+1)j.t2 14. Find the...
1 a) Find the domain of r(t) = (2-Int ) and the value of r(to) for...
1 a) Find the domain of r(t) = (2-Int ) and the value of r(to) for to = 1. b) Sketch (neatly) the line segment represented by the vector equation: r=2 i+tj; -1 <t<l. c) Show that the graph of r(t) = tsin(t) i + tcos(t) j + t?k, t> 0 lies on the paraboloid: z= x2 + y². 2. a) Find r'(t) where r(t) = eti - 2cos(31) j b) Find the parametric equation of the line tangent to...
QUESTION 4 Given the equation of a point, r(t) ( I)i ( -I)j Sketch the graph of r(r) = (1 + l)i + (r2-Dj fr-2 2. Dr...
QUESTION 4 Given the equation of a point, r(t) ( I)i ( -I)j Sketch the graph of r(r) = (1 + l)i + (r2-Dj fr-2 2. Draw the (a) t 4 marks) position vector r(0) on the same diagram. b) Find the unit tangent vector of the point at 0 and show it on the same diagram in (a). Explain what you understand about the direction of the tangent (5 marks)
12.1.24 Question Help The tangent line to a smooth curve r(t) = f()i + 96)j + h(t]k at t= to is the line that passes through the point (f(t):(to)."(to) parallel to (to)the curve's velocity vector at to User (to) and (t) to find parametric equations for the line that is tangent to the given curve at the given parameter value t= to (1)-(31²)i + (4 + 3)j + (52) 10-3 What is the standard parametrization for the tangent line? yo...
(1 point) Find a vector equation for the tangent line to the curve r(t) = (2/) 7+ (31-8)+ (21) k at t = 9. !!! with -o0 <1 < 0
Find the equation of tangent line to the curve y = x2 – \sqrt[3]{x} at the point (-1,0).
a. Find the curvature of the curve r(t)- (9+3cos 4t)i-(6+sin 4t)j+10k. o. Find the unit tangent vector T and the principal normal vector N to the curve -π/2<t<π/2. r(t) = (4 + t)i-(8+In(sect))j-9k, Find the tangential and normal components of the acceleration for the curve r(t)-(t2-5)i + (21-3)j +3k.
a. Find the curvature of the curve r(t)- (9+3cos 4t)i-(6+sin 4t)j+10k. o. Find the unit tangent vector T and the principal normal vector N to the curve -π/2
Solve for 14(b,c) and 18 (b,c) please
16. Find a set of parametrie equations t d) r(t)-(4t,3 cos(t).2sin(t) the line tangent to the graph of r(t) (e.2 cos(t).2sin(t)) at to-0. Use the qu tion to approximate r(0.1). tion function to find the velocity and position vectors at t 2. 17. Find the principal unit normal vector to tih curve at the specified value of the parameter v(0)-0, r(0)-0 (b) a(t)cos(t)i - sin(t)i (a) r(t)-ti+Ij,t 2 (b) rt)-In(t)+(t+1)j.t2 14. Find the...
1 a) Find the domain of r(t) = (2-Int ) and the value of r(to) for to = 1. b) Sketch (neatly) the line segment represented by the vector equation: r=2 i+tj; -1 <t<l. c) Show that the graph of r(t) = tsin(t) i + tcos(t) j + t?k, t> 0 lies on the paraboloid: z= x2 + y². 2. a) Find r'(t) where r(t) = eti - 2cos(31) j b) Find the parametric equation of the line tangent to...
QUESTION 4 Given the equation of a point, r(t) ( I)i ( -I)j Sketch the graph of r(r) = (1 + l)i + (r2-Dj fr-2 2. Draw the (a) t 4 marks) position vector r(0) on the same diagram. b) Find the unit tangent vector of the point at 0 and show it on the same diagram in (a). Explain what you understand about the direction of the tangent (5 marks)
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