e. An apple orchard now has 80 trees per hectare and the average yield is 400 apples per tree. For each additional tree planted per hectare the average yield per tree is reduced by approximately four apples. How many trees per hectare will give the largest crop of apples?

Q: 2. 4. 6. . (2n) n! n = 1 Identify a, 2n! n! 2.4 6 (2n) n! (2n)! n! (2n)! 2 4· 6 • . . · . (2n)…

A:

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A: Solve the following

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Q: 4e-1dx = 7.96 × 10° O True O False

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A:

Q: Find the area of the region bounded by the curve y = 9- x2 and the x-axis. Answer:

A:

Q: Find the volumes of the solids generated by revolving the regions bounded by the graphs of the…

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Q: - 9 sin(3x) and f'(0) Given f''(x) f(0) = 1. 3 and Find f(-

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Q: Find 312 i-0

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Q: 2x2 -9x Find the limits and justify if needed. 12. lim x² – 1 X-

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A: Follow the procedure given below.

Q: Q.3. Use the method of Laplace Transform to solve the initial value probl y"+y +y 3 sin(2t), y(0) =…

A:

Q: Consider the following series. s (-1)" n = 2 In(3n) Test the series for convergence or divergence…

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Q: 8. 4" + 1 7" + 1 n = 1 4n + 1 7n + 1 lim = L > 0 converges diverges

A: Follow next step

Q: 12. Solve the second-Order differential equation: -y = e* (use method of variation of parameters) dr

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Q: goo3D 4X Sxt7

A:

Q: How do you do optimization in calculus? List all steps

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Q: 4(sinhx dx 5. Evaluate Vi+x? V1+x°

A:

Q: Use the properties of summation and 5/ Step 1 To evaluate the sum Si, the following property of…

A: Please see the below picture for solution.

Q: 1. Prove the following identity: sec(0)-sin(0) sin? 0 %D tan(0)+cot(0)

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Q: QUESTION 3 Find a formula for the nth term of the sequence. 1, 4 9' 16 25 (reciprocals of squares…

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Q: Find g'cx) gon= XX dx

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Q: Find the Maclaurin series for the given function f(x) = e-6x

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A:

Q: Find the sum of the convergent series. 6 Σ 9n2 + 3n – 2 n = 1

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Q: An object weighing 1000 pounds sinks in water starting from rest. Two forces act on it, a buoyant…

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Q: 3. Find the point(s) on the graph of the curve fle)-+3+ where the tangent is horizontal.

A: To find the points on the graph of the curve fx=x33+3x+4x, where the tangent is horizontal.

Q: y=f(x) A1 АЗ 15 A2 7 A4 10 (figure is NOT to scale) Evaluate the integral below by interpreting it…

A: To evaluate the integral below by interpreting it in terms of areas in the figure.The areas of the…

Q: Let f(x) = 4x^2 – 7x. Use the ɛ/8-definition of the derivative to prove that f'(2) = 9.

A:

Q: 19 at are the equations of the asymptotes for the function y = tan 27x where 0 < x < 2 х %3D 0.25,…

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Q: g(x) If f(x) then h(x)'

A:

Q: The multiple choice answers to choose from are A) (lnx)^2 B)2x^(lnx-1) lnx C) x^lnx-1 lnx D) 2lnx/x

A: We can simplify the answer: 2xlnxlnxx=2·xlnxx·lnx=2·xlnx-1·lnx  Because xaxb=xa-b=2xlnx-1lnx

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A: Given

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Q: 1. Find the value of the directional derivative at the particular point Po for the given function in…

A: Given that gx,y=y2tan2x ; U→=-32 i^+12 j^ ; P0π3,2We need to find the value of the dorectional…

Q: 3. lim X→n/2

A:

Q: d the area of the region bounded by the curves y = 3x and y = x².

A: Given query is to find area bounded by the curves.

Q: Evaluate the integral by interpreting it in terms of areas. In other words, draw a picture of the…

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