It takes a month for a horse, two months for a goat and three months for a sheep to eat a cart of hay. How many months does it take for a horse, a goat and a sheep to eat a cart of hay together? Give typing answer with explanation and conclusion

Q: 3. An animal population is increasing at a rate of 31+36t per year (where t is measured in years).…

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A: Given :u=2,-2, 4v=0, 7, 4

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Q: f(x)dx = F(b) - F(a) and ſf(x)dx = P(x)+C. Consider the two expressions A) a and b are called the…

A: Given expression ∫abf( x )dx = F( b ) - F( a ) ∫f( x )dx = F( x ) + C

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Q: Question Determine the interval of convergence for the power series that can be used to represent…

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Q: Run a regression analysis on the following data set, where y is the final grade in a math class and…

A: Solution: Here we are using excel to find the linear equation

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Q: Use the half-angle formula to find the exact value sin (π/8)

A: Trigonometry

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Q: find the coordinates (x and y) where the tangent has a gradient (slope) of 11 the equation of the…

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Q: q(t) = i(t) = L = 1 h, R = 100 2, C = 0.0004 f, E(t) = 40 V, q(0) = 0 C, /(0) = 2 A A Find the…

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Q: = A piece of equipment depreciates according to the function A Age-0.44t, where t represents the…

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Q: A hemispherical tank, 10 ft in diameter is full of liquid (density: 40 lb/ft³). Find the work…

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Q: Let f(v) be the gas consumption in liters/km of a car traveling at velocity v km/hr. In addition,…

A: f(v) be the gas consumption of a car travelling at velocity v km/hr.f(60)=0.05f'(60)=0.0005

Q: Suppose that interest on money in the bank accumulates at an annual rate of 6% per year compounded…

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Q: Below is the graph of y = f(a). Find 5 5 f(a)da. Round your answer to three decimal places. 10 d.

A: Solution:  ∫010f(x)dx represents the area under the curve x: 0 to 3 Area= 3×2 =6 x: 3 to 4 Area =…

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Q: 8. The half-life of caffeine (how long it takes for the amount of caffeine in your system to cut in…

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Q: Solve the system of linear equations. -x+4y+z= 9 x - 2y4z = 9 -2x - 3z = 14 O (-1, 3, 4) O (-1, 3,…

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Q: 2. Find the inverse of the function. g(x) = = √√2x + 3 x ≥ 3 2

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Q: (a) Given the graph below of f'(x) on the interval 0 ≤ x ≤ 4, determine where the global minimum and…

A: Graph of f'x is given.

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A: We have to slove above geometry series

Q: So dx 1 In(x) √x

A: ∫01lnxxdx

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A: Given that z=3xy-y3+y2-2x32

Q: Find the points at which y=f(x)=4x−ln(6x) has a global maximum, a global minimum, and a local,…

A: we need to find out the global maximum, global minimum, and local maximum.

Q: The gradient of f(x, y) = xy at (x, y) = (-3,-2) is

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Q: A fish population at a fish hatchery, y(t) (t in years), is modeled by the differential equation…

A: Note:- These are multiple sub parts and according to company we can do maximum 3 sub parts you can…

Q: Set up, but do not evaluate, the Riemann sum for the area under the curve f(x) = eª from x=0 to x =…

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Q: 3. Determine the line of intersection of each system of equations. a) 2x + y - z = 3 x + y = 2 x=z=1…

A: Please see the below picture for detailed solution .

Q: 13x² √x² −1 dc = √u dhe, dx If values for a and b. , then determine which of the following should be

A: ∫24 3x2x3-1dx

Q: 8. A fast food restaurant determines that the cost C and revenue R for x hamburgers an be…

A: We need to find out the profit function and also the critical point and maximum or minimum at that…

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Q: An advanced experimental rocket program is terminated after only 7 rockets were produced. The…

A: Here we have to choose the correct option.

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Q: Find parametric equations of the line through (-3, 1, 5) that is parallel to 2i-5j+k. x(t) y(t) ||…

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Q: Coastal Soda Sales has been granted exclusive market rights to the upcoming Beaufort Seafood…

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Q: ΣΕ k=0

A: Given query is to find series converges or diverges.

Q: Find the solution to  x' = y - x + t y' = y if x(0) = 2 and y(0) = 4 x(t) = ? y(t) = ?

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Q: 4. Evaluate the following limits. 3x+1 a. lim x⇒-2 2-x b. lim x³+27 X-3 x+3

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Q: f(−3)=10f(−3)=10 and g(−3)=−2g(−3)=−2 Step 1 of 4 :   Find (f+g)(−3)(f+g)(−3).

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Q: Indicate the points at which the function shown in the graph above has a global maximum, a global…

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Q: d the directional derivative of the function f(x, y) = xy at the point (x, y) = (4, -1) in the…

A: We will find the required.

Q: The total cost function of a company for producing x units of products is given by C(x) = 0.0002 ³…

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Q: Find the Taylor Series for f(x) = e centered at x = 1.

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Q: Use the values in the table below to answer each of the following: x h(x) g(x) h'(x) g'(x) 0 2 1 -5…

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Q: e the linear inequality. Express the solution using interval notation. 2(8x1) 14x + 10

A: We will find the required.