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Use the parametric curve given below to find the equation of the tangent line to the...
Find an equation of the line tangent to the curve at the point corresponding to the...
Find an equation of the line tangent to the curve at the point corresponding to the given value of t. 71 x= cost+t sint, y=sint-tcost;t=4 (Type an equation. Simplify your answer. Type your answer in slope-intercept form. Type an exact answer. Use integers or fractions for any numbers in the equation.)
Find an equation for the line tangent to the given curve at the point defined by...
Find an equation for the line tangent to the given curve
at the point defined by the given value of t. Also, find
d2y/dx2 at this point:
x = cost, y = 1 + sint, t = 1/2
3. (5 points) (a): Find parametric equations for the tangent line to the curve with the...
3. (5 points) (a): Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. x=etcost, yr etsint, z=et; (1,0,1) (b): Find the unit tangent vector T, the principal unit normal N, and the curvature k for the space curve, r(t) =< 3 sint, 3 cost, 4t >.
Find parametric equations for the tangent line to the curve with the given parametric equations at...
Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. x = 4 In(t), y = 6/t, z = t4; (0,6, 1) x(t), y(t), z(t) = X
Find an equation for the line tangent to the curve at the point defined by the...
Find an equation for the line tangent to the curve at the point defined by the given value of t. Also, find the value of at this point x=16 cost, y = 4 sint,t= The equation represents the line tangent to the curve at t= (Type an exact answer, using radicals as needed.) d²y The value of dx2 (Type an exact answer, using radicals as needed.) att =
Find parametric equations for the line that is tangent to the given curve at the given...
Find parametric equations for the line that is tangent to the given curve at the given parameter value. Question Help (t)= (5 cost)i+(4 - 4 sin t).i+ (20), t=0 What is the standard parameterization for the tangent line? X y = Z- (Type expressions using t as the variable)
find parametric equations for the tangent line to the curve with the given parametric equations at...
find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. x=10cost, y=10sint, z=8cos2t; (5sqrt3,5,4)
Find parametric equations for the line that is tangent to the given curve at the given...
Find parametric equations for the line that is tangent to the given curve at the given parameter value. r(t) = In 1+ k, t=to=4 What is the standard parameterization for the tangent line? X= y = ZE (Type expressions using t as the variable.)
d²y Find an equation for the line tangent to the curve at the point defined by...
d²y Find an equation for the line tangent to the curve at the point defined by the given value of t. Also, find the value of at this point dx x= 16 cost. y = 4 sint, t = 7 л 2 The equation represents the line tangent to the curve att (Type an exact answer, using radicals as needed.) dy The value of att is dx? (Type an exact answer, using radicals as needed.) 70 4
Find parametric equations for the line that is tangent to the given curve at the given...
Find parametric equations for the line that is tangent to the given curve at the given parameter value. r(t) = (5+?) 1+ (2t - 1)]+(31') k, t=to = 3 What is the standard parameterization for the tangent line? X = y = ZE (Type expressions using t as the variable.)
Find an equation of the line tangent to the curve at the point corresponding to the given value of t. 71 x= cost+t sint, y=sint-tcost;t=4 (Type an equation. Simplify your answer. Type your answer in slope-intercept form. Type an exact answer. Use integers or fractions for any numbers in the equation.)
Find an equation for the line tangent to the given curve
at the point defined by the given value of t. Also, find
d2y/dx2 at this point:
x = cost, y = 1 + sint, t = 1/2
3. (5 points) (a): Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. x=etcost, yr etsint, z=et; (1,0,1) (b): Find the unit tangent vector T, the principal unit normal N, and the curvature k for the space curve, r(t) =< 3 sint, 3 cost, 4t >.
Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. x = 4 In(t), y = 6/t, z = t4; (0,6, 1) x(t), y(t), z(t) = X
Find an equation for the line tangent to the curve at the point defined by the given value of t. Also, find the value of at this point x=16 cost, y = 4 sint,t= The equation represents the line tangent to the curve at t= (Type an exact answer, using radicals as needed.) d²y The value of dx2 (Type an exact answer, using radicals as needed.) att =
Find parametric equations for the line that is tangent to the given curve at the given parameter value. Question Help (t)= (5 cost)i+(4 - 4 sin t).i+ (20), t=0 What is the standard parameterization for the tangent line? X y = Z- (Type expressions using t as the variable)
Find parametric equations for the line that is tangent to the given curve at the given parameter value. r(t) = In 1+ k, t=to=4 What is the standard parameterization for the tangent line? X= y = ZE (Type expressions using t as the variable.)
d²y Find an equation for the line tangent to the curve at the point defined by the given value of t. Also, find the value of at this point dx x= 16 cost. y = 4 sint, t = 7 л 2 The equation represents the line tangent to the curve att (Type an exact answer, using radicals as needed.) dy The value of att is dx? (Type an exact answer, using radicals as needed.) 70 4
Find parametric equations for the line that is tangent to the given curve at the given parameter value. r(t) = (5+?) 1+ (2t - 1)]+(31') k, t=to = 3 What is the standard parameterization for the tangent line? X = y = ZE (Type expressions using t as the variable.)
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