This question is designed to be answered without a calculator. A farm has a rectangular pigpen that is 10 meters by 20 meters. One of the 10-meter sides is bordered by a feeding trough along the entirety of the side. Which definite integral gives the total number of pigs in the pigpen? p(x) dx 20

Q: 6+ З +2 (2x+1)= 8

A: 6x3 + 2(2x+1) = 8 2x + 4x + 2 = 86x + 2 = 86x = 8 - 26x = 6x = 66 = 1

Q: 4. According to the following table, what is the limit of this function as x approaches 0? X -.01…

A: From the table, it is clear that: limx→0-f(x)=2&limx→0+f(x)=2

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Q: 3 fin [ ха Txx² 2 - 1/2 to

A: To evaluate: ∫13lnx21+x212dx=∫1312lnx21+x2dx=12∫13ln x2-ln (1+x2)dx=12∫13(2ln x) dx-12∫13ln(1+x2)…

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A:

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A: Given problem:- The general solution of y" + y = sec x tan x

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A: To evaluate the given integral:

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Q: 3 Find x=x-12 lim. x-7-3 x2+ 8x+15)

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Q: Evaluate the limit tan z lim 20 3x

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A:

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A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

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A: Here we have to find the critical points.

Q: 2. Given the function: f(x) 3 x -3 x≤2 2 x² + 1 x > 2 Is f(x) continuous and differentiable at x=2?

A: Here is the solution:

Q: 16+29

A: Given :16+29

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A:

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A: For critical points , f'(x) =0.

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A: This is a problem related to midpoint of the line segment. based on the general formula and concept…

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Q: If x + y = 2 , x” + y” = 3 , . Find the value of x(4) + y(4) a. 6.65 c. 8.5 b. 6.55 d. 8.75

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Q: tan2x-2sinx lim x→0 x3 a. 0 b. infinity c. 3 d. DNE Find the slope of the curve y = 64( 4 + x) 1/2…

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A: In the given problem first we sketch the region of integration for Q and then reverse the order of…

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A: Given graph of f(x)=(2.25)x

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Q: calculator. Use this graph of function f. y at X = O conly. Od only. Oc and d only. O a, b, c, and…

A: Topic:- function

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A: We want to find the gradient of the given function at point (-2,2,-1).

Q: Sketch the graph of the piecewise defined function: f(x) = 2, x ≤ −1          x − 1, x > −1

A: Given  f(x) = {2,   x≤-1              x-1, x>-1}

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A:

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A:

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A: This question is based on application of integration.

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A: Calculating the volume of parallelepiped

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A: Given :Total surface area of cuboid = 1500

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A:

Q: Evaluate the integral Sea X 6x³-1dx

A: This question can be solved using the concept of integration by substitution.

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Q: 5. Find the limit using any method of choice. x + 2 lim x-2 2x² - x - 10

A: A detailed solution is given below.

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A: The given problem is solved below in detail.

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A:

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Q: Jo dx 0 1-x² 2 e) fx√x² + 1dx (Hint: use a substitution)

A: Use substitution to solve

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A: