k. 75 µg to mg 1. 72 µl to ml m. 2 L to ml

Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the…

A: The profit function is

Q: The z-intercept of the following plane is 7 = (-1,2,3) + s(-2,2,3)+t(−3,2,6), s,t € R.

A:

Q: Given f(x, y) = -6x² - 3x² + 6y, find fa(x, y) = f(x, y) = faz(x, y) = fay(x, y) =

A: Given FunctionFormula used

Q: An open-top cup with a square base is to have 27 cubic inches in volume. Find the dimensions of the…

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Q: 3 다음 정적분의 값을 구하시오. (1) 답: 8 -6 |x - 4|dx (1)

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

Q: In triangle ABC, the size of angle B is 3 times the size of angle A, and the size of angle C is 15°…

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Q: The cost for labor associated with fixing a washing machine is computed as follows: There is a fixed…

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Q: 5. (§8.3) Evaluate the trigonometric integral: sin³ a cos³ a da TWO ways: (a) Splitting off one cos…

A: , where  is the integral of .

Q: graph

A: To graph the trigonometry function.

Q: Consider the function yx = {x^²+x if (x, y) = (0,0) if (x, y) = (0,0) Compute the partial…

A: Here given that a function f(x, y) and we find partial derivative of this function.

Q: The x =5 will be (parallel or perpendicular) to the yz-plane.

A: In a 3D cartesian coordinate system, the YZ plane is defined by the equation…

Q: 1. Let T be the triangular region enclosed by the lines y = 0, y = 2x, x=1. Evaluate the double…

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Q: The perimeter of a college athletic field is 96 meters and the length is 18 m more than the width.…

A: We will use algebraic expressions to solve it.

Q: x 3

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Q: Fill this table for equation Cos(x+1) Intervals of increase/decrease Max/Min points (state if any…

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Q: The graphs of y = 4, y = g(z) (solid) and y = f(x) (dashed) are shown; the graph is not drawn to…

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Q: The domain of f(0) = csc ( f(0) = csc (ne) + +1 is: O All real numbers except for multiples of 5n O…

A: Given:We are required to find:

Q: The domain of f(0) = tan TO+1 is: O All real numbers except for even multiples of 2 3 O All real…

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Q: - Choose the correct one for the function ƒ(x, y) = x² + y² − 4xy. A. (0,0) is a local minimum…

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Q: A pool cleaning solution is mixed from two different bottles of solution. One bottle contains a…

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Q: Question 10. A point moves anticlockwise around the circle x² + y² = 1 at a uniform speed of 2 m/s.…

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Q: Find the value of the constant (a, b, or c) that makes the function continuous. Show all work. f(x)…

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Q: Write an equation describing the relationship of the given variables.   y  varies directly as the…

A: Given dataThe variable y varies directly as the fourth power of x, and when x=3, y=486

Q: 8 f f(x) dx = -4 -5 8 f g(x) dx = 10 -5 5 fg(z) dz=5 -5 8 First Number: (-2 f(x) - 4 g(x)) dz. -5 -5…

A: Given definite integrals are  ,  ,          .

Q: The following graph f(8) = cose depicts how many cycles of cosine? 27 -1.5A -T -0.5m -0.5 -0.5 O 0.5…

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Q: Use logarithmic differentiation to differentiate y = (x+1)(x-3)³ (x-4)

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Q: Q 30. If a ball is thrown into the air with a velocity of 30 m/s, its height, h in meters after t…

A: We have,      h(t) = 30t - 4.9t2 Find the instantaneous velocity when t = 2 seconds.

Q: 9. For the differential volume in Figure 2, match the items in the left hand list with those on the…

A: For the differential volume in Figure 2, match the items in the left hand list with those on the…

Q: (1) x-3y+6z= 8 (2) 3x-9y+18z = 24

A: Given two equations are :

Q: Solve the following system of equations: (1) 4x-3y-2z = 21 (2) 6y- 5z = -8 (3) Z = -2 O (2)

A:

Q: An employee's monthly productivity M, in number of units produced, is found to be a function of the…

A:

Q: -5 -44 43 -2 03 2 H -1 -2 03- Find lim f (x) Find lim f (x) x411+ Find lim f(x) HI-1 2 3 4 Find…

A: A function  is said to be continuous at  if .

Q: 3. The position function of a particle is given by s (t) = 2t³ - 3t² + 5t + 10. Position units are…

A: Position function is given by              ---(1) Where s is measured in centimeters and t is…

Q: Solve the given differential equation by separation of variables. dx + e⁹xdy = 0 y =

A: Given:To solve:The given differential equation by separation of variables.

Q: Use a technique of integration or a substitution to find an explicit solution of the given…

A: Formulas using above problem:-

Q: Find the exact value of sin 11 in simplest form with a rational denominator. 6 Answer: undefined…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Find the decomposition of a(t) a = aTT + aNN into tangential and normal components for r(t) = (51,…

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Q: Set up the integral that uses the method of cylindrical shells to find the volume V of the solid…

A: Given that    y = 3√x , y = 0, x = 1; about x = -3

Q: Find all points on the surface given below where the tangent plane is horizontal. z=x²-3xy-y²-44x +…

A: z = x ^ 2 - 3xy - y ^ 2 - 44x + y

Q: The Second Gate You arrive at the gate that holds the spaceship. Your computer translates the…

A:

Q: Find the general real solution of this system of differential equations x ′ = x−2y y ′ = 2x+y…

A: x(t) = c_1 e^t cos(t) - c_2 e^t sin(t)y(t) = c_1 e^t sin(t) + c_2 e^t cos(t)

Q: lim 2 + 00-55 (-1)" n

A:

Q: For each part of the problem, find all asymptotes (vertical, horizontal). If any asymptote does not…

A: Consider a rational function of the form .The vertical asymptotes are the values of  at which ,…

Q: 18 n=1 n (-1)" 2013

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Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

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Q: Given: (x is number of items) Demand function: d(x) = 280 -0.2x² Supply function: s(x) = 0.5x² Find…

A: Given functions

Q: A farmer has 1,520 feet of fencing available to enclose a rectangular area bordering a river. No…

A: Let the length of the side parallel to river = y Total fencing required  = x + y + x = 2x + yFarmer…

Q: As a car accelerates, it does not accelerate at a constant rate; rather, the acceleration is…

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Q: f(x) = f(8) = x² if x≤0 X O A. X f(-3)=9 (Simplify your answer. Type an integer or a fraction.) 1 8…

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Q: Find the derivative of the following function. A = 460(1.604)

A: