Use the triple scalar product to find the volume of the parallelepiped having adjacent edges u, v, and w. u = i + j v=j+ k w=i+k

Q: Given: (x is number of items) Demand function: d(x) 4563 √x Supply function: s(x) = 3√x = Find the…

A: For equilibrium quantity of the demand function, d(x) and the supply function, s(x) is when…

Q: 37. f(x) = 2x +1 on [0, 4]; n = 4 38 f(x) 2.com-1mo TO 17:

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

Q: Find all exact solutions on the interval 0 < 0 < 2. If there is more than one answer, enter them as…

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Q: Find a unit vector in the direction of r=-5i +15j. Express your answer in terms of i and j. Give…

A: Let a vector  Then unit vector is given as follows

Q: 1. Use Elementary Row Reduction and Gauss eliminatiom to solve the following linear systems: { (a).…

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

Q: Find (A) f'(x), (B) the partition numbers for f', and (C) the critical numbers of f. f(x)=x²-12x+4…

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Q: Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per…

A: The objective of the question is to find out how many bottles 10 machines can produce in 4 minutes,…

Q: Eliminate the parameter t to find a Cartesian equation in the form x = f(y) for: 4t² = [x(t) = ly(t)…

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Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

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Q: Evaluate the integral: 1. √64 x² 14x² x = 64 tan(0) 64 sec (0) x = 8 sec (0) x = 8 sin(0) x = 64…

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Q: Evaluate So Sy/2e dxdy by changing the order of integration.

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Q: Obtain general solution. 1) y''-y=ex-4

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Q: Use Green's Theorem to evaluate the following integral et² dx + (4x + 6) dy Le Where C is the…

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Q: Evaluate F. dr along each path. (Hint: If F is conservative, the integration may be easier on an…

A: Given the function is To find:-  (a) (b)

Q: 不 any finus given by the marginal-demand function D'(x)= the D(x)= my of hat con 3000 x² where x is…

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Q: Which of the functions below are one-to-one? Assume that you are considering the domain of each…

A: Find the one-to-one function and domain of the given functions

Q: Compute the line integral [xydx+x²dy, where C is the arc of the parabola x = y² that goes from (1,…

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Q: Find the absolute maximum and/or minimum points and values for r(x) = -5 on (3,7).

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Q: The augmented matrix of a system of linear equations is given in reduced row-echelon form. Find the…

A: To find the solution of the following system.

Q: If the quotient is positive, which of the following must be true? (A) a>0 (B) b>0 (C) ab>0 (D) a-b>0…

A: The objective of the question is to determine which of the given conditions must be true if the…

Q: a) log, 40 d) Slog, 9 c) b) log, 2 c) log, 2+log, 8 log, 12 1) log, 10-log, 20

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Q: Find the relative rate of change of f(x) = 12 +2e-2x The relative rate of change of f(x) is

A: Relative rate of change of f(x) can be expressed as the slope (or first derivative) f'(x) of a…

Q: Raffle tickets numbered consecutively from 101 through 350 are placed in a box. What is the…

A: The objective of the question is to find the probability that a ticket selected at random will have…

Q: 2. Find the Wronskian of the following: b) (sin cos

A: We have to find the Wronskian for the given function.

Q: (6) A piece of ice cut in the shape of a cube melts uniformly so that its volume decreases at 3…

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Q: 4. Solve the following linear systems. 21 + 2x2 2x1 + x1 (a). - 22 x2 x3 3 + 24 = 4 x4 1 + x3 +

A: The system Ax=b is,The augmented matrix is,The reduced system is,The general solution is,

Q: Find a basis for the 2-dimensional solution space of the given differential equation: y" - 5y' = 0

A: The given differential equation is

Q: Find the linear approximation for y=sin x at x = 0, and use it to approximate sin(0.3)

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

Q: stion a). Use the geometric definition of to explain the distane equation cross product in part (1)…

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Q: example 1- Find the linear approximation to f(x)=√√2x+1 at x = 4, then use it to approximate he…

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Q: For what values of p is each series convergent? n = 1 (-1)^-1 np +2

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Q: 2- Consider y'- 2y = e3x and y(0) = -5. Find the value of L(y).

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

Q: Find the values of x so that the series below converges. Give your answer in interval notation. n=…

A: The given series is

Q: Compute the directional derivative of the following function at the given point P in the direction…

A: To Compute the directional derivative of the following functions at the givenpoint P in the…

Q: A volume is described as follows: 1. the base is the region bounded by y = 5 and y = 0 9 2. every…

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Q: Find the present value of a continuous income stream F(t) = 30 + 6t, where t is in years and F is in…

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

Q: Suppose R is the solid bounded by the plane z = 2x, the surface z = 2, and the planes y = 0 and y =…

A: R is solid bounded by the plane z = 2x, the surface z = x2  and the plane y = 0 and y = 3. Find…

Q: Suppose f(x, y, z) = x² + y² + 2² and W is the solid cylinder with height 5 and base radius 6 that…

A: Now, the cylinder's base is,

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) (3-4x) (3 - 4x)¹0 dx

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Q: 7. [−¹ § 3sª +68³ +7s² +55+2 s² (s+2)(s² +1) 2

A: inverse laplace transformation of the given function

Q: The initial and terminal points of a vector v are given. Initial points (-1, 3, 4) Terminal point:…

A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

Q: = Find the area under the curve y 2x over the interval [0, 5]

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Q: 6 Evaluate te (t² + 3) (t² + 7) dt using the Fundamental Theorem of Calculus, Part 2. Enter only…

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Q: Find the total area of the shaded region. Ay 24- 22- 20 18- 16- 144 12 10- 8- 6 y=x y=12 Ту *² 48 8…

A: To find the total area of the shaded region.

Q: Find a function f(x) such that f'(x) = − 5eª + 3x and ƒ(0) : = f(x) = - 1

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Q: Use the intermediate value theorem to determine whether the function f(x) = x + 7x-9 has a root and…

A: X3+7x-9 and x= 1 and x= 2

Q: 5. L 6. L S S+2 2 S² + 4s +3 S+2 (s² + 4s+6)² 2

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Q: -5 -4 -3 -2 5 4 3 2 -1 -1 1 2 4

A: A graph of the function is given.The aim is to find the values of  for which .

Q: Find the first partial derivatives of the function z = (2x+6y)¹2. dz dr 1. 2 dy

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Q: 0-5-5 x'(t) = -5 0-5 x(t). x( -5 -5 0

A: We have to solve the given initial value problem.