Find the volume of the parallelepiped determined by the vectors a, b, and c: a =< 1, 2, 3 >, b =< -1, 1,2 >, c =< 2, 1,4 >.

Q: O Represent the parabola 4=2文+1 by a vector valued funchion and sketch it (show everything !)

A: A parabola is a conic section. When a plane parallel to another plane and tangential to a right…

Q: For the following exercises, consider the construction of a pen to enclose an area. 7 You have 800…

A:

Q: 1 -3 2 0 1 0 1 -7 2 0 0 1 -3 0 1 -6 5 -7 4 3. You are given that A = 0 0 0 0 4 -12 7 7 2 3 -1 -7 1 0…

A:

Q: Change from rectangular to spherical coordinates. (Let p 2 0, 0sos 2n, and 0 sos n.) (a) (0, 7, -7)…

A:

Q: Given the parametric equation x = t+ lnt and y = t - Int %3D dy d²y Find and dx da? Find the point C…

A:

Q: Cosine of Angle of Rotation (3d) The following matrix is the matrix of rotation. Find the cosine of…

A: Consider the given rotation matrix, Q=-23-13-2323-23-13-13-2323 Here we need to determine cosine of…

Q: 14. Consider unit-s +-sped helix B (s) = C3 cosC ), 3sin( 등 ), 뜸 The frénet - Sewret apparats of B…

A:

Q: O Use polar coordinates to evaluate the integral V2² + y²dxdy. -V9-y2 got sdi wolod bas sitt od

A:

Q: Determine if the graph is a function. y=x²-4x-5 Using the vertical line test, is this the graph of a…

A:

Q: | Let r(t) = 5i + t²j – t²k. Compute the unit tangent vector T(t) at time Question 7. t = 1. 5 (a)…

A:

Q: 7. Find the directional derivative of the function f(x, y, z)=(y+28) at (2, 1, 1) in the direction…

A:

Q: Determine whether or not F is a conservative vector field. If it is, find a function f such that F =…

A:

Q: 73.2, 57.6, 93.8, 51.0, (), 39.4 A) 41.5 B) 15.8 C) 76.3 D 65.2

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: P2 Consider the two power series (3x)2n+1 f(x) = x + Σ (2n + 1)! n=0 (x + 1)" g(x) = 3n ln(n) n=2…

A: We will show that f(x) satisfies the given equation (y=f(x))

Q: Evaluate the triple integral. 10x dV, where E is bounded by the paraboloid x = 5y? + 5z2 and the…

A:

Q: Solve the system by using elementary row operations on the equations. Follow the systematic…

A:

Q: Let E be the region bounded by the xy-plane, xz-plane, yz-plane and 4x + 2y + z == 4. Compute the…

A:

Q: A, average velocity between t = 3 and 1 = 9. B, average velocity between t= 15 and t = 18. C,…

A:

Q: Find the radius of convergence and interval of convergence of the power series 2" (x – 3)" Vn + 3…

A: Solve the following

Q: O FIND THE -く,2,3> VOLUME oF TIAE PARALLEL EPIPED WITH VECTURS J = <4,10,87 w - <1,0,17 and AS…

A:

Q: Find the relative extrema of the function, if they exist. 3) f(x)= 3x4 + 16x3 + 24x2 + 32 4) f(x) =…

A:

Q: Problem 6 This extreme value problem has a solution with both a maximum value and a minimum value.…

A:

Q: Find the radius of convergence and interval of convergence of the power series n=1

A:

Q: 4. Log-linear models are often used to model contingency tables. In (a) terms of table and model…

A: Given information:   2000 2005 2010 2015 7.5 to 7.75 42 37 39 26 7.75 to 8 37 45 40 39 8 to…

Q: 11) A baseball team is trying to determine what price to charge for tickets. At a price of $10 per…

A: Find maximum revenue using derivatives

Q: 1. Use the ed definition to prove that the function f(x) = = (a) continuous at z = 0. (b) continuous…

A:

Q: • Question 6 The function f(x) = ln(8 – x) is represented as a power series %3D 00 f(æ) = Cna". = Ë…

A: f(x) = ln(8-x)

Q: Suppose an economy has four sectors: Mining, Lumber, Energy, and Transportation. Mining sells 20% of…

A: For the given data, find (a) Construct the exchange table (b) equilibrium price for this economy

Q: y = 14. If u +4 u-4 and U= √x + x 10 dy , find dx when x=4.

A: This question can be solved using the concept of derivatives.