Solve the following problems. Show your complete solution. 1. A two-pen corral is to be build. The outline of the coral forms two identical adjoining rectangular regions. That is 120 feet of fencing available. Find the maximum enclosed area and the dimensions of the corresponding enclosure.

Q: -4 -6 -1] A = 8 8 4 -2 6 Find (a) 41 – 4A -A² + A³

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Q: Suppose that dy xy + x d.x and that the point (5,0) lies on the graph of (x, y). What is the value…

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Q: Compute the surface area of revolution about the x-axis over the interval [0, 1] for y = e-9x.

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Q: pleases

A: We will find the limits.

Q: Use this definition with right endpoints to find an expression for the area under the graph of f as…

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Q: 1. x'dx LE 2. x3 + 2x? dx 3. + 3x? + 1)dx

A: "Since you have asked multiple questions, we'll solve the first three questions for you. If you want…

Q: The volume of water in a right circular cone of base radius 6 inches and height 18 inches decreases…

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Q: 2. of the image graph in terms of x? y 2-3 C. y= 2(1-x+2|- 3) D. y= (1-2x+ 2|-3) A. y= -|2x +2|- 3…

A: Consider the graph

Q: Solve 4 cos (x) 13 cos(x) – 12 = 0 for all solutions 0 < x < 27 I = 138.6 Give your answers accurate…

A: Let's find.

Q: following integration can be solved by using the     technique, where in the first application of…

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Q: Find the slope of the tangent to the graph of f(x)=x(1-x2) at its point of inflection.

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Q: Find the equation for the plane through the points Po(0,2, – 5), Qo( - 4,1, – 4), and Ro(5,4, – 3).…

A: plane passing through the points P00,2,-5, Q0-4,1,-4 and R0=5,4,-3

Q: 3. Consider the vector field F(x, y) = (2xy, x2 - sin y). Evaluate %3D F. ds where C is the curve…

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Q: eventually

A: We will solve the problem.

Q: Lim 3 128 2 J

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Q: art (ii) Show that the following harmonic series is convergent. 1 -= 1 2

A: Series

Q: Using the key matrix A = decode the message: 36 50 53 76 29 34 15 22 37 64 (Note: Use 27 for space…

A: Concept: Matrix: A matrix is a row-and-column mathematical structure. The Aij element of a matrix,…

Q: Find a formula for the nth term of the sequence. - 1, 4, - 9, 16, - 25, ... Determine the sequence's…

A: Given sequence is -1             4                 -9                16              -25 By…

Q: Write the Taylor series for f(r) = a about z = 4 as en(x-4)". %3D Find the first five coefficients.…

A: The Taylor Series of f(x)= x3 with center a=4

Q: how to find inverse of y=(x+2) squared

A: Given query is to find the inverse of the function.

Q: Question Given f(x) below, find f' (x). f(x) = 'dt Provide your answer below: S) =D %3D FEEDBACK…

A: Given query is to find the derivative of the expression.

Q: Find the first five non-zero terms of Maclaurin series (Taylor series centered at r = 0) for the…

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Q: 3. a) Describe the translations applied to the graph of y= x² to obtain a graph of the quadratic…

A: The given quadratic function g(x)=3x+22-6

Q: Find T, N, and k for the space curve r(t) = (16 sin t) i + (16 cos t) j+ 12t k. T(1) = (D i+ (O j+…

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Q: 1 4 dx 2 /1 – x²

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Q: point on a curve at which the concavity changes sign from plus to minus or from minus to plus.

A: Topic:- calculus

Q: Use the substitution x = 3 sin t to evaluate the integral f V9 – x² dx. | Note: Use C for an…

A: Given; I=∫9-x2dx   ...1   Use the trigonometric identity; 1). sin2x+cos2x=1 2). cos2x=2cos2x-1 And…

Q: Use the substitution u = 6x? + 1 to convert the integral fo xeoz+1 dx to an integral of the form L…

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Q: Problem #6: Find the equation of the line tangent to f (x)= cos x-sin? 1 at x =-. 5х 6.

A: We have to find out the tangent line

Q: The area under the graph of f(x) = 3x2 between x = 2 and x = k is 208, where k> 2. Find the value of…

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Q: Question 5 of 13 On what instance does the Chain Rule of differentiation applicable? Explain…

A: In this question we have to find on which instance does the chain rule of differentiation…

Q: Learning Activity 1: Determine the general antiderivatives of the following functions: 1. f(x)=6x5 -…

A: Solving the problems by finding the integration.   NOTE :: As per our Expert guidelines we are…

Q: Find the sum of the series. 5h Σ 9"n! n = 0 8.

A: The given series is 5n/[9n n! ] , n from 0 to infinity.

Q: Find the product of the two matrices. Give me two answers at each number letter for the A.B and B.A

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: y – 2. Suppose the symmetric equations of lines l1 and l2 are = 2 - y = z and a = -1, 2…

A: x-12=2-y=z implies L1 : x-12=y-2-1=z-01x=-1, y-23=z-12 implies  L2 : x+10=y-23=z-12If lines L1 and…

Q: 00 Determine el valor de a e R tal que: /" -dx e2x + 1 a ||

A: ∫1u2+a2du = 1atan-1ua+C

Q: Find the area (in square units) of the region bounded by the curve y = cosx and y = -1 on the…

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Q: Find an equation of the sphere whose endpoints of a diameter are (-2,0, 5) and (-1,2, 3).

A: We can find the equation of sphere as below.

Q: Consider the following integral. |Fe dt Find a substitution to rewrite the integrand as - Le" du. u…

A: To find the value of given integral.

Q: Compute the Taylor polynomial T3(x) and use the Error Bound to find the maximum possible size of the…

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Q: Find the curve's unit tangent vector. T(t) = Di+Dj+Ok

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Q: Find an equation of the sphere whose endpoints of a diameter are (-2,0, 5) and (-1,2, 3).

A: To find the length of the diameter use the distance equation Therefore, D=-2-(-1)2+0-22+5-32…

Q: If x = t^2 + 1 and y = t^3, then the second derivative is? (Show your complete solution). a. 3/(4t)…

A: Given that,   x=t2+1 and y=t3

Q: dx (x-2) Jx12

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Q: Evaluate the integral dx by first using the substitution u = e (e - 1)(e +1) to convert the integral…

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Q: 9.x (vi) S dx. x2+15 da. u =

A: Let I=∫9xx2+15dxTake the constant outI=9·∫1x2+15dxSubstitute u=x15.Differentiate…

Q: Suppose f(x) = x° + 3, xE[- 1, 2]. (a) Find the slope of the secant line connecting the points (x,…

A: Given : f(x) = x3 + 3 ,x∈[-1,2] (a) Find the slope of the secant line connecting the points (x,y) =…

Q: Use implicit differentiation to determine dy/dx given the equation x^5+y^2=−4

A: implicit differentiation to determine dy/dx given the equation    x5+y2=−4

Q: A hot air balloon rising vertically is tracked by an observer located 8 km from the lift-off point.…

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Q: In Exercises 3, 5, 7, 9, 11, and 13, graph AFGH with vertices F image after the similarity…

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