A rectangular box with an open top has a square bottom and a volume of 4 m³. Find the dimensions of the box that will result in it having the smallest possible surface area. Width of Box: Height of Box: m m

Q: Find all points (x, y) on the graph of f(x) = x³ - 3x² + 12x + 17 with tangent lines parallel to the…

A: we will find the required.

Q: 5. Write sin(tan¹x) as an algebraic expression in x.

A: Use triangle rule

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A: We have to find the price that maximizes consumer expenditure and demand at that price.

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A: Here we have to choose the correct option.

Q: 17π . Find the exact value of sin by using the fact that 17/12 = 7/6 + 14 and the 12 identity sin(A…

A: As per our guidelines I only have to solve one question and the rest of question will be reposted.

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Q: Use the given function and the given interval to complete parts a and b. f(x) = 2x³-36x² + 192x on…

A: Maxima and minima

Q: Find lim f(x) and lim f(x) for the given function and value of c. x→c+ X→C f(x) = (x + 8) |x +4| C =…

A: The given function fx=x+8x+4x+4, we have to find the limit of f(x) at x=-4.

Q: Determine the first five terms of the Taylor series that is generated by: f(x) = (1 + 4x2)-1/5 at x…

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Q: dx x²√4x² √ a. C. √4x² 4x √4+x² X + C + C e. None of the above. b. O d. 4x √4x² X √4+x² + C +C

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Q: Solve 2 arcsin (3x + 1) = π.

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Q: Question 3.3. Let R be the region under f(x) = 5xe, over the interval [-1,1]. Calculate the area of…

A: Let's find area under the given region.

Q: sum and difference identities to rewrite the following expression as a trigonometric function of a…

A: Given query is to rewrite the expression.

Q: 3. a. On the grid provided, draw 285° in standard position. Show the direction of rotation. y b.…

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Q: Use the elimination method to find all solutions of the system of equations. (Order your answers…

A: Given, 2x2-y2=-2x2+2y2=9

Q: b) Find the derivative of r(t) = (cos² (), te-t, In(sin t))

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Q: Graph the functions

A: Given functions:- y=x+4 and y=9-x

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Q: .4 7 [T 4 Find (x + y) dydx.

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Q: 1. Find the volume of the solid that lies under the plane z = 2 - x - y and above the square [0, 1]…

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Q: Determine the exact value of the following expression. sin(11π / 12) or sin ( 11π *over* 12 )

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Q: est fractiona equivalent to 0.234 (64ths)

A: Here the problem is to convert 0.234 to fraction with base 64.

Q: If F(x) = f(xf(xf(x))), where f(1) = 3, f(3) = 6, f'(1) = 4, f'(3) = 5, and f'(6) = 6. Find F'(1).…

A: We need to apply the concept of derivative of function of function and the product rule of…

Q: y = f(x), find f'(a) f(x) = 5x+4 a = -1

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Q: A particular solution of y" + 4y' +4y=t-²e-²t -te-2¹ Int -e-²¹ Int a. b. C. d. e. a C -e-²¹(Int+t) -…

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Q: Differentiate with respect to T Answer T : T⁹ d = cb-da-db T btd bc-ad 2bd

A:

Q: Let ū = (3, 1), v = (-8,4), and w = (-6,-2). Calculate the value of each expression. 5. a) ū + V c)…

A: Since you have asked a question with multiple parts in a single request we would be answering only…

Q: A differential equation of the form: dy -+ P(x)y= Q(x)y" dx is said to be O Bernoulli DE O exact DE…

A: The given differential equation is: dydx+P(x) y=Q(x) yn

Q: Particular solution by inspection Solve the following equation: y^(7)+4y^(5)+4y^(3)=120

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Q: Find the indicated limit. Make sure that you have an indeterminate form before you apply l'Hôpital's…

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Q: Find the slope of the graph of the function g(x)= The slope of the graph of the function g(x)= (Type…

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Q: F 95° IH (4x – 8)° (3x – 16)° 198 G

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Q: Find the derivatives of the following functions. 1. a) y = (2x) (e5x) c) f(x)=√ex b) f(x) = 2x³-x² +…

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Q: Question 8 Textbook Videos [+] A baseball team plays in a stadium that holds 52000 spectators. With…

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Q: The function f(x) = 2x³ + 30x² This function has a local minimum at x = with value and a local…

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Q: A. 0 Evaluate the integral by reversing the order of integration. OB. 0(e-6-1) O C. -2(e-³-1) D.…

A: use the substitution method to simplify the integral.

Q: Find all complementary functions of the equation 25y" 40y + 16y = 0 a. e4x/5cOSX, e4x/5sinx b.…

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Q: Identify u and u = np dx II np dx du [₁²(x) dx. Jun (a dx for the integral [(1 - √x)² (2√x) dx X X…

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Q: If R(t) = e-ti + et j + √2 tk a) Find the velocity and acceleration vectors. b) Find the speed,…

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Q: A rectangle has one side of 9 cm. How fast is the area of the rectangle changing at the instant when…

A: Let length of rectangle=x cmLet width of rectangle=y cm We know Area of rectangle=Length × width

Q: Given f(x) f''(x) = = = √²* (t³3 + 4t² + 6) dt, 0 (t³ + 4t² + 6) dt, answer the follow

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Q: Provide a real-life situation that involves rational function Original work please.

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Q: Using the divergence test For each of the following series, apply the divergence test. If the…

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Q: ƒ'(x) =

A: Topic:- application of derivatives

Q: Find the area of the region bounded by the lines x + y = 2, x - y = 1 and x + 2y = 2

A: NOTE: Refresh your page if you can't see any equations. . the first line is to graph the line, we…

Q: Find the partial fraction decomposition for the retional expression. 6x + 9 (X+9) (9x-1) (use…

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