Find the value of h such that the vectors ()()(E) 1 2 h 1 1 are linearly dependent? Show details of your work.

Q: (1) Find and classify the extremes value of f(x) = 6x* – 4x° over the interval [-2, 2). (2) A…

A: According to Bartleby Q/A guidelines, we only allow solving the first question if multiple questions…

Q: Let I and g be unit vectors. Hence T-T= -G = 1. Calculate the inner products I (-1) and (T+g) -…

A:

Q: Consider the following vector equation. r(t) = (3t - 4, t2² + 2) (a) Find r'(t). r'(t) =

A:

Q: . (Section 14.4) Let curve C be described by vector function(t) = (cost-1, sint, 3/2) on 0 ≤ t ≤ b.…

A: The curve C is defined by the function,on the interval,The length of the curve on the given interval…

Q: Find the angle 0 between the vectors. (f. 9) = L R f(x) = 3x³, g(x) = 4x4, %3D f(x)g(x) dx radians

A:

Q: Given the vector function r(t) = (-3t, -4t¹, t² + 1) Find the velocity and acceleration vectors at t…

A:

Q: Sketch level curves z = 9, 16, 21, and 24 for the functionz = 25 − x2 − y2. Include the graphs of…

A: Given the function z=25−x2−y2

Q: Find the terminal point of a vector v = with an initial point P(0, 6, 2).

A:

Q: Find the vectors T, N, and B at the given point. r(t) =   (1, (1/3), 2) Find the normal and…

A: The equations of the normal plane and osculating plane of the curve at the point can be evaluated by…

Q: Find the domain of the vector functions, r(t), listed below. You may use "-INF" for -∞ and use "INF"…

A: We have to find the domain of vector function.

Q: The normal vector of x+2y-1-0 (0, 2) (2, -1) (1, 2) O (1, -1)

A:

Q: 3. An object moves with the trajectary which is the graph of the vector function R(t) = (t² +t)i +…

A:

Q: C:r=r(t)=(1+t,2 – 3t, 4t)

A: We Have :— X = 1 + t Y = 2 — 3t Z = 4t

Q: (15) Let u Then the angle (measured in radians) between these two vectors is equal to (b) (e) (d) 등…

A:

Q: [1 [4] Determine if the vectors v₁ = 2, 12 vi 2,√2 = 5, and v3 L3. L6. independent. = 8 are linearly…

A: Step 1:The provided vectors are:v1​​=⎣⎢⎡​123​⎦⎥⎤​,v2​​=⎣⎢⎡​456​⎦⎥⎤​,v3​​=⎣⎢⎡​789​⎦⎥⎤​It is needed to…

Q: At time t=0, a particle is located at the point (1,3,1). It travels in a straight line to the point…

A: According to question, initially the particle is at point 1,3,1 then travel to point 7,8,9 in a…

Q: Find the angle 0 between the vectors. f(x) = 3x, g(x) = 4x?, (f, g) = | Rx)9 f(x)g(x) dx radians

A:

Q: (a) Find the direction for which the directional derivative of the function f(x, y) = 9xy + 2y is a…

A: Formula for directional derivative Du→fP=∇f(P).u^=∇f(P)u^cosθ Du→fP to be maximum angle θmust be 0.…

Q: True or False?

A:

Q: Sketch the following vector fields (at least 10 vectors) (a) F(x, y) =

A: Consider the provided question, 7 (a)

Q: 11 1. 0 2 00 2 Find det(A) (14) Let A 3 00-1 (a) 0 (b) 6 (c) -6 (d) -2 (e) 2

A:

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.