Find a unit vector tangent to the curve of 25 intersection of – x? – 2y3 = z - 3 and 4y – 3z? =- x+ 6 at the point (1,1,0)

Q: What are the equation of line passing through (-1,3) that is tangent to the curve x^2 + 4y^2 – 4x –…

A:

Q: at an air show, a jets trajectory is following the curve y=x^2 if when the jet is at point (1,1), it…

A: Given that at an air show, a jet's trajectory is following the curve,  if when the jet is at point…

Q: Give a vector valued function whose graph is same as y=ln (x)

A: We know that a function with the representation r→t=ft i∧+gt j∧ is called a vector valued function…

Q: Find terminal point Q of vector PQ =    <9, −2, 1>   with the initial point at…

A:

Q: Describe the relationship between the point (10,13) and the vector

A: We have to describe the relationship between the point (10, 13)  and  vector  <10, 13>

Q: Find the unit vectors that are parallel to the tangent line to the parabola y = x^2 at point (2,…

A: y=x2 at point (2,4) We need to find the unit vectors that are parallel to the tangent line to the…

Q: Problem #10: Find the flux of F(x, y, z) = yi − xj + 8k across S, where helicoid S is the with…

A:

Q: Find  vector z + vector y if vector z= and vector y= . graph

A:

Q: Find the projection of x on to Row(A). Call this vector Row. Show that XNul and Row are orthogonal.…

A: We shall solve the first part only. If you want us to solve the second part please upload the…

Q: Find the domain of the vector functions, ?(?)�(�), listed below. using interval notation. ) ?(?)=⟨…

A: To find the domain of the vector function r(t)=⟨t−3,t2−4​1​,t1/3⟩, we need to consider the values of…

Q: At the point (1, −1), the function (x, y) has a derivative of 5 in the direction toward (3, 1) and a…

A: Consider the given information.

Q: Find the unit vectors that are parallel to the tangent of the polynomial y= x^3 +2x + 1 at the point…

A: Consider the given function and differentiate to get the slope of the tangent.

Q: Find a non-zero vector perpendicular to

A:

Q: Find the slope of the curve x^2 + y^2 = 3 + xy at (0,√3). (Simplify your answer.)

A:

Q: Suppose there are two lines in the xy-plane in R^2.  These two lines could intersect at a single…

A: let the lines be                              y=m1x+c1y=m2x+c2 given that lines are intersecting in…

Q: Your house is on a surface z = f(x, y) = 2x^2 − y^2 directly above the point (4, 3). You are washing…

A: The objective of this question is to find the direction in which the water runs off when it falls on…

Q: Find the Orthogonal Trajectory of this equation (x^2/p^2)+(y^2/(q^2-p^2))=1

A: Given equation is x2p2+y2q2-p2=1,     where 0<p<q

Q: What is the gradient of the curve y = x^3+4x^2-6x+3   at the point where x=-2 ?

A:

Q: The velocity of a moving object in 3-space at time t (seconds) is  Length unit is meters. At time…

A: Given: The velocity of a moving object in 3-space at time t(second) is <4e-t, 3t2, 5cos(πt)>…