A rectangular pen will be built along the side of a large barn. Three sides will be made of fencing, and the barn will act as the fourth side. With 400 meters of fencing at your disposal, what is the largest area you can enclose? What are its dimensions?

Q: Q2: Solve the following integrals: (1) f 7x²+14x+15 (x²+3)(x+7) 02 dx ; u nein!! sin x+cos x (2) […

A: We have to calculate the given indefinite integral according to the given information

Q: =) S sin6 x+cos6 x sin³ x cos³ x dx

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Q: 3. y = 2x² is a solution for which differential equation? 2y - y = 0 xy' - y = 0 2y'- y"=0 - y' -…

A: Given :y=2x2

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A:

Q: 19. For a given function, f(x) = ³ - 15x² + 48x + 2, (a) Find the interval(s) on which f is…

A: Note to student :    Thanks for posting your queries. But there are  multiple parts given. As per…

Q: Q5: Find dx for the following functions: (1) xcinh 2x coch 2x (3) y = e* sin² x In√x

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Q: Approximate the definite integral using the Trapezoidal Rule and Simpson's Rule with n = 4. Compare…

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A: Please see the below picture for detailed solution.

Q: Sketch the function. v(x) = 0.2(x-3)²(x+2)³

A: We can answer the question as below.

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A:

Q: If the terminal side of angle A goes through the point (−24/25,7/25) on the unit circle, then what…

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Q: Discuss the topic from algebra you used in completing this exercise. Give an example of a business…

A: Concept: Algebra: The area of mathematics known as algebra aids in the representation of…

Q: 7. Use integration tables to find or evaluate the integral. (Use C for the constant of integration.)…

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Q: Use the formula for instantaneous rate of change, approximating the limit by using smaller and…

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Q: 1 3 (a) √ 2²³ + + + √²+2rdz [: x° 2x dx X (ln(x))² (b) / X dx

A:

Q: dy Q5: Find for the following functions: (3) y = ex.sin² x In√x

A: We can solve this as follows:

Q: Test the series below for convergence using the Ratio Test. Σ n=1 n! The limit of the ratio test…

A:

Q: The interest on an account increases exponentially. If an initial investment of $5000 earns $900 in…

A: Given: Initial amount =$5000 Increase amount =$900 Time =2 years To find: Rate of increase at the…

Q: 11. f -dx 3x+1 +4x

A: these 2 questions are not related to each other so according to bartleby guidelines I need to solve…

Q: (B): If A = 2i + 3j-4k; B = 3i-4j+ 5k and C = i + j-k, find: (iv) (3A + 4B). C (1) A.B (U) B.C (iii)…

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Q: Find f(145) (x) for f(x) = 83x¹0⁹. Simplify your answer completely. f (145) (x) =

A:

Q: Use the figure below to find the exact value of the trigonometric function of angle A. sin(A) 00 7 A

A:

Q: Given f" (x) = 8x − 6, ƒ' (1) = −3, and f(1) = 5 find f(x).

A:

Q: Q3 :(A): By using "L' Hopital rules "; Find the limits of : (1) limx-ol: 1-cos x - sin²x

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Q: (B): Find the tangent equation to the curve y = sin² x at point x = T-3 π .

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Q: Solve the following differential equations: (1+x²) (dy-dx)=2xy dx

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Q: Q5: Find d for the following functions: dx (1) In(x - y) = xy + y³ ; (2) y = tan³ √cot(7x) ;

A: We can solve the answers as below by finding the derivatives.

Q: x² - 4 (a) lim x2 (x + 2)(x-3)²

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Q5: Find for the following functions: dx (1) In(x - y) = xy + y³ ; (4) y = x sinh 2x -cosh 2x (2) y…

A: We need to find derivative. As per Bartleby's guidelines we can solve one question from multiple…

Q: There are 2 workers in one of companies, the company has determine the normal work hours by 8 hours…

A: This includes building costs, property taxes, utilities, payroll taxes, benefits, insurance,…

Q: (A): Solve the following linear equations by Cramer's rule: x + y + 2z=1 2x-y-z = 0 = 4 x +2y-z

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Q: Evaluate the definite integral. S √4x + 3dx

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Q: Consider the position function below. r(t) = (1-1²,3-5t4) for t≥ 0 a. Find the velocity and the…

A: Given;  r(t)=<1-t2,3-5t4).

Q: Sketch the function. 4 k(x) = -x² +6x²-8 Part 1 of 4

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Q: Find dy ду é^sinx in sx

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Q: (C): Solve the following equations:- (1) sin 2x + 2 sin² = 1

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find three mutually orthogonal unit vectors in R³ besides ti, tj, and tk There are multiple ways to…

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Q: 5 +1 Tsimplify denomina 7) (1+i) (1-1) = 4 the Following without using the de noctor Prove that

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Q: 2-) -100

A: Since you are asking multiple questions. We are answering only one question as per our guidelines.…

Q: Evaluate the function at the given values of the independent variables. Simplify the results. f(x,…

A: topic- Functions

Q: 2x+3 (2x² + 6x − 1) b. f 1)s dx

A: B only Integrals by Substitutions

Q: y = sin(x), y = 0, x = 0, x = Exercise (a) the volume of the solid formed by revolving the region…

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Q: Q3/ A. For the following function f(x). Find: i. iii. f(x) = x² + 1 The slope of the f(x) by using…

A: We need to find out the slope using the definition.

Q: 38.Calculate the surface area of the surface obtained by revolving the curve y = √9-x² around the…

A: Note to student :    Thanks for posting your queries. But there are multiple questions given. As per…

Q: For what values of a and b is the line 2x + y = b tangent to the curve y = ax² when x = 4?

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Q: Write a polynomial f(x) that satisfies the given conditions. 2 Polynomial of lowest degree with…

A: