Consider the parallelogram with vertices A(-3, 0), B(-1, 3), C(5, 2), and D(3, -1) Find AB and AD, writing each as a three-dimensional vector. AB = (2,3,0) AD = (6, – 1, − 1) Find AB × AD. AB × AD = (0,0,9) Find the area of the parallelogram.

Q: Let l be the length of a diagonal of a rectangle whose sides have lengths x and y, and assume that x…

A:

Q: A contour map for a function f is shown. Estimate the value of f₁(4, 18) 20 15 10 5 70 fy(4, 18) ~…

A: Given:a contour map for a function f is shown.To find:Estimate the value of fy(4, 18).

Q: 5. Solve the differential equations below by using Laplace transformations.

A: Given:a differential equation with initial value-To find:solve the differential equation using…

Q: also find: what is the maximum revenue? what is the wholesale price per chip that produces the…

A: Therefore, the required answers are A) The graph is given below (Option B seems the correct graph)B)…

Q: In the aftermath of a car accident, it is concluded that one driver slowed to a halt in 11 seconds…

A: The objective of this question is to determine whether the driver was speeding based on the given…

Q: The rate of vocabulary memorization of the average student in a foreign language course is given by…

A:

Q: pesticides is to introduce into the population a number of sterile males that mate with fertile…

A:

Q: what does f'(m) = ?

A: We need to provide meaning of f'(m).

Q: K B + R G abe, If all the graphs above have equations with form y = Which graph has the largest…

A: explained in detail.Explanation:Step 1: 1) Blue line is more curved (Growing). So, the graph Blue(B)…

Q: Given p = [−1, 4, −8] and à = [10, 10, −9], find: → → a. 2p+5q → b. p q c. q d. px q e. The angle…

A:

Q: please solve

A: A thorough explanation is provided below.   Explanation:To find the area between the x-axis and the…

Q: Use the trapezoidal rule, the midpoint rule, and Simpson's rule to approximate the given integral…

A:

Q: Find the limit

A: The objective of the question is to find the limit of the given expression as x approaches infinity.…

Q: Find the direction derivative of f(x,y) = 40+2x2-y2+x2y3 in the direction of (5,-12)

A: To find the direction derivative of  in the directionof .

Q: Write out the form of the partial fraction decomposition of the function. Do not determine the…

A:

Q: f(x) = = -9x 1- x

A: f(x)=−9x1−x

Q: Evaluate lim x -3 3 cos (-6-2x) + x 3x + x² and write your answer in simplest form.

A: Explanation of the answer is as follows

Q: integrate (2x+1)/(x^3-x^2+x) with respect to x the same expression written differently for clarity:…

A:

Q: Let ā= −i − 2j + 3k, b = i - 2j + 3k, c = −i +2j - 3k.

A: The given vectors .The objective is to find the vector that is perpendicular to both  and .

Q: Consider the function h(x) = x² – 2x + 3, x ¤ R. For what values of x is the gradient of the curve…

A:

Q: A tank contains 2720 L of pure water. Solution that cont 0.03 kg of sugar per liter enters the tank…

A: Lets say the amount of sugar at time t in the tank be y(t)kg.The rate of change of amount of sugar…

Q: Find the equation of the tangent line to y = 7e* at x = 8. (Use symbolic notation and fractions…

A:

Q: (SHORT BOND PAPER) Find the slope and equation of the tangent line to the graph of the equation at a…

A: since you have posted multiple questions in this question which are not interlinked so i have solved…

Q: Evaluate the iterated integral. 4y rx+y 18xy dz dx dy

A:

Q: ind the centroid of the region bounded by y = 3x5, y = 3 and x = 0

A:

Q: Let f(x) = 5(x - 3)2/3 +4. (a) Find the interval(s) where f(x) is increasing. (Enter your answer…

A:

Q: Use the arc length formula to find the length of the curve y = 54x, -2 ≤ x ≤ 4. Check your answer by…

A:

Q: 2. Find r(t) when r"(t) = i + 2ĵ, r¹(0) = Ê, and 7(0) = i.

A: r=(1+2t2​)i^+t2j^​+tk^Explanation:

Q: find dy/dx for: y = sqrt(6+sec(pix^2))

A: The objective of the question is to find the derivative of the function y = sqrt(6 + sec(pi * x^2))…

Q: 7. ) Use the model A = Pert to derive a formula for finding the time it takes for an investment to…

A:

Q: dx Assume that x = x(t) and y=y(t). Let y=x+4 and 2 when x=5. dy Find when x = 5. di dy di (Simplify…

A:

Q: □ 3. Find the area under the curve of the following function f(x) = √√x on the interval [2, 6]. O…

A: The objective of this question is to find the area under the curve of the function f(x) =…

Q: Compute the following.• Arc length of y = (1 + x)2 with 1 ≤ x ≤ 4.• Area of the surface of…

A: The length of the arc after calculation is 21.22 units.The surface area of revolution comes out to…

Q: -6 Let f(x) = Find f'(x). √√7x2+2 f'(x) =

A:

Q: Assume that f'(4)= -9, g'(3)= 9(3)=4, and y=f(g(x)). What is y' at x=3? Atx=3, y'= (Simplify your…

A:

Q: The function h(x) is given. It has domain (-∞0, 00). X= -4 -2 X= y 4 2 -4 2 4 Find all the…

A: From the given graph

Q: λ x²y"+2xy+(3x² + y= 0, y(-1)= y(1) = 0, (x2+1)3 with eigenvalue A, can be written as a constrained…

A: λ1​≤7π32​Explanation:To show that λ1​≤7π32​ using the trial function z(x;A)=A(1−x2), we'll use the…

Q: Suppose that for a company manufacturing calculators, the cost and revenue equations (in dollars)…

A: Answer :: Rate of change in Cost :: 24,000 Rate of change in Revenue :: 3,18,400 Rate of change in…

Q: and write your answer in simplest form.

A:

Q: Find the general solution to the equation in implicit form dy 1 dx = yey+x

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Suppose that the marginal propensity to save is ds 0.20 (in billions of dollars) dy and that…

A:

Q: Please use Differential equation or intergral equation to solve thanks

A: written solution provided.Explanation:Step 1:Step 2: Step 3: Step 4:

Q: Suppose f (x, y) = , P = (-2,-1) and v = 2i - 4j. A. Find the gradient of f. (Vf)(x, y) =i+j Note:…

A:

Q: 1) Use the second derivative test to classify any critical points and determine whether each…

A:

Q: find dy/dx for: 1. y=(3x^2+3x-1)^4

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Please solve this vector calculus practice problem showing all the steps. Thanks!

A: Solution is done.Explanation:Approach to solving the question: Detailed explanation: Examples: Key…

Q: 1. Find the length of the given curve. (a) r(t) = (2t, 3 sin(t), 3 cos(t)), a ≤ t ≤ b

A: Question No. (a): To find the length of the following curve.Note: Since you have posted multiple…

Q: Compute  ∫ 1/√x2-3 dx

A: Answer- I have given step by step hand written solution in the explanation box. Explanation:Step…

Q: 3. Find f'(x) if f(x) differentiation) === 023 * xsin(x)

A:

Q: 7. Let f be function such that f(1)=7andf′(1)=12. Find h′(1) for the function h(x)=f(x)f(x).

A: