6. Find the unit vector for which the directional derivative Duf(x,y) of f(x,y) = %3D 3x2 + 4y2 at the point (-1,1) is minimized.

Q: TUESDAY: Plot the following coordinates on the plane. E = (3,2) F = (7,9) G = (10,3) H = (5,7) %3D…

A:

Q: find the domain of the vector-valued function.

A: Given: rt=1t+1i+t2j-3tk

Q: Sketch the curve of the vector function r(t) = 3ti+ (3t + 1)j,-1<ts2, and indicate the orientation…

A: The given curve in vector form: r(t)=3ti+(3t+1)j The point of t is -1≤t≤2 To find the curve at the…

Q: Plot the following non-linear data en a scatterplet. Develop the quadratic model and expenental…

A: Given data, x y 0 3 1 7 2 10 3 24 4 50 5 95 Scatter plot:

Q: Suppose that r1(t) and r2(t) are vector-valued functions in 2-space. Explain why solving the…

A: It is given that r1(t) and r2(t) are vector valued functions in 2-space. The objective is to explain…

Q: 1. Calculate the area of the parallelogram spanned by the vectors Á = and B = .

A:

Q: Decompose v into its vertical and horizontal components.

A: Decompose vector v in vertical and horizontal components.

Q: Given the vector function (1) = (e+²³, 2√²³ +1, 4arctan(1 − 1)) 1)), find the speed and the equation…

A:

Q: Find three different parametrizations of the graph of y = x3.

A:

Q: Graph

A:

Q: Represent the following equations in R? by a vector-valued funetions. (a) (a-h) + (y - k) = r (r-h)…

A: We will use vector valued function of standard equation  x2+y2=a2 rt→=a cost i→+ a sint j^    i.e.…

Q: Look at the picture and the player below and try to figure out the movement of the soccer ball when…

A: Topic :- 2 Dimension

Q: If the xy-coordinate axes are rotated , find the XY-coordinates of the point (x,y) = (4,5

A: The new coordinates (X, Y) of a point (x, y) can be found using the following rotation…

Q: Find the velocity, acceleration, and speed of a particle with the given position function. r(t)= 1)…

A: The given position function is

Q: Parametrize y = -x2 + 4 in terms of u and v %3D

A:

Q: Given the vector-valued functions u(t)= esti+e-¹ + 2tk v(t) = 2ti - 3t² + 3k d find (u(t) v(t)) when…

A:

Q: A baseball is hit 3 feet above the ground at 110 feet per second and at an angle of 45° with respect…

A: "Since you have posted a question with multiple sub parts, we will provide the   solution only to…

Q: The temperature of a potato in an oven is currently 130°F and is increasing by 2.8 degrees per…

A:

Q: The elevation of a mountain above sea level is given by f(x,y) = 3000e-(* +2y* y100 (in meters). The…

A:

Q: Given the vector function: r(t)=(√2t,e¹,e¹) find T(t), N(t), and B(t) and simplify your final…

A:

Q: Consider the function f(x, y) = (e* - 2x) sin(y). Suppose S is the surface z = f(x, y). (a) Find a…

A:

Q: The answer I provided for (x-5)^2 is said to be wrong. Please help me rectify the problem. Also…

A:

Q: Solve the folfowing system of DE. Write the solution in a vector and in a scalar form. Simplify your…

A: NOTE: Refresh your page if you can't see any equations. . from the given system, write the matrix A

Q: Determine an equation of a line that lies directly on the plane: 3x+4y+5z-29=0 . (Justify your…

A:

Q: Let f (x,y,z) = xye² + yze*. From point (1,0,1), which unit vector points in the direction in which…

A: Consider the given information. fx,y,z=xyez+yzex The point is 1,0,1. The direction in which f…

Q: Which point has the gradient vector with the smallest magnitude? A

A: For the given graph