A farmer finds that if she plants 75 trees per acre, each tree will yield 45 bushels of fruit. She estimates that for each additional tree planted per acre, the yield of each tree will decrease by 2 bushels. How many trees should she plant per acre to maximize her harvest? trees Give your answer rounded to the nearest whole number.

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Q: 3. Check if the following is a separable equation. dy dx O variable separable not variable separable

A: dydx=-xyRearrange the equation;y dy=- x dxf(y) dy = f(x) dxYes,the given equation is variable separa...

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Q: sin x cos“ xdx COS

A: The objective of the question is evaluate the indefinite integral.

Q: 1. f(x) = (48x* + 24x + 30) 4 -6 6. f(x) = (2x* + 1) 4 %3D - &r + 17) 3 2. f(x) = (4x* + 5x – 8x + 1...

A: solution given below..

Q: Showthat dz du

A: I am attaching image so that you understand each and every step.

Q: If cos (0) = - and tan (0) < 0, find all other trigonometric functions of 0.

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Q: Given the function 2. Y(s) . 51 + 45 + 8

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Q: 4. What is the equation of the normal line to the curve 4x2 – 9y2 = 1 at point (3,2) ? a. y =x- 4 5....

A: Slope of the Normal Line to the graph of f(x) is  -1f'(x). Equation of the line : y-y1=mx-x1 where, ...

Q: 3) f(x) =9x/チxー3 %3D

A:

Q: 3.1.053. A fast-food restaurant determines the cost and revenue models for its hamburgers. C = 0.9x ...

A: Solution is here

Q: Q3: Solve the following first order differential equations Use any method: 1. e + 2x dx + e x dy = 0...

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Q: Find an equation of the plane with the given characteristics. The plane passes through (0, 0, 0), (4...

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Q: I7 The Sind the squou in vares

A: Given query is to find the unknown numbers.

Q: 6. (Sections 8.8 and 8.9) Determine whether the following piecewise-defined function is a probabilit...

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Q: Construct the table of signs for f'(x) and f"(x) ginve f(x)= x4ex on its domain of (-inf, +inf)

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Q: A. Write the missing term/s in the given series of numbers. 1. Find the next three terms in: -14 -10...

A: 1.      -14,-10,-6,-2,_,_,_ -14+4=-10-10+4=-  6    -6+4=-  2   -2+4=      2        2+4=      6      ...

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

A: For solving all above parts we have to use concept of unit vector.

Q: Suppose f(x) = Va. Give the function for each of the following transformations. The graph of f(x) re...

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Q: Separation of Variables: Solve for y' = yx' O x4 = y In c Ox = cy

A: To solve the given differential equation by separation of variables  

Q: 13.Exact equations: Solve: (2r3 + 3y) dx + (3x + y – 1) dy = 0 O x* + 6xy + y² – 2y = c O r?y² + y* ...

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Q: 2 2 V 4 +x-

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Q: Determine any three points on the plane given by 5x - 6y + 10z - 15  = 0. Using these points, give a...

A: The given plane is: 5x - 6y + 10z - 15  = 0. We have to find any three points on the plane. Using th...

Q: Coach Kent brings 3 quarts of sports drink to soccer practice. He gives the same amount of the drink...

A: Given that the coach brings a total of 3 quarts of the sports drink.

Q: draw a tree diagra w : fLx, y,z,N n and write chain rule! ニ y = f lu,v) , Z=f lu,V), N= f (u,V).

A: Here we will draw tree diagram and write chain rule,

Q: s2 - 265 - 47 Y(s) (5 - 1)(s + 2)(s + s) %3! 1. Use Partial Fractions to break apart the large fract...

A: Topic:- calculus

Q: For 0, determine two positive coterminal angles and two negative coterminal angles. 2

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Q: The length of an arc of a circle with a central angle of 120° is 6r cm Find the radius of the circle...

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Q: Q1: Find the solution of the following Differential Equations d?y 3. dx2 dy - x = 0 dx -

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Q: Given the following differential equation and its initial conditions y" - 10 y' + 9y - St with y(0) ...

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Q: Consider the function in the graph to the right. The function has a maximum of at x = 10 The functio...

A: Use graph

Q: II. Obtain the required order of derivative. 1. y? = 4x, find y" 2. x3 - y3 = c³, find y"

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Q: Next, we integrate the resulting integral with respect to u using the Power Rule. (Remember the cons...

A: Question is solved.

Q: 4t The concentration C in milligrams per milliliter (mg/ml) of a certain drug in a person's blood-st...

A: Given that Radius of circle increases from 2.00 to 2.01 mSolution :Area of circle =πr2  A1=π2.002=4π...

Q: the following. (x) = x? %3D + 6x + 7 Find the critical numbers. (Enter your answers as a comma-separ...

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Q: O square centimeters of materíal is available to make a box with a square base and an open top, find...

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Q: 4. Check if the following is a separable equation. = xy + y dx O variable separable O not variable s...

A: Take y common from the right hand side.

Q: Which one of the following is the vector equation of a plane containing the points: (4, 0, 3), (1, –...

A:

Q: Determine whether each point lies on the line. x = -1 + t, y = 2t, z = 3 + t (a) (0, 2, 4) O Yes O N...

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the two po...

A: We have to find equation of line in symmetric and parametric form.

Q: (T^2-x)dt-tdx =0 when t=1 x=5 Ans,: x=1/3t^2 + 14/3t please show solution

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Q: > Next question 3 Get a similar question You can retry this question below Let y = 5x + 2x +3. If Az...

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

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Q: 5. Determine constants a, b, c, and d that will produce a quadrature formula f(x) dx = af (-1) +bf(1...

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Q: Eliminate the parameter to find a Cartesian equation of the curve with parametric equations x = et –...

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Q: 11. Linear coefficients in 2 variables: Solve ti (x – y + 1) dx – (x + 4y + 1) dy = 0

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Q: For 0, determine two positive coterminal angles and two negative coterminal angles. 0 = 150°

A: Given, theta= 150° Coterminal angles are the angles that have the same initial side and share the te...

Q: A particle travels along the a-axis such that its velocity is given by v(t) = (t0.5 + 5t) sin (2t). ...

A: To Find: Distance travelled by partical in interval 0 to 4

Q: ©if g(x, v) = In(),the )If g(x, y) = Int then xgx - vgw in simplified form is [c].

A: We can find the answer as below in the following steps

Q: Let f(x, y) = x² + xsin(y). %3D

A: