An open top box, with a square base is being designed. Material costs 126/cm². What is the largest box that can be built for $51.84.

Q: (B) If f(x, y) = x² ye(x+y²) Find the four seconed partial derivative.

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Q: The line y - 42-1457 is tangent to the graph of 111 at the point y=2x²-182²-158z+1

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Q: Q1: Find the general solution of the following first order D.Es? (Answer two only) CELE MAI ) c)…

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Q: Let v(t) = (t², -4t,9). Compute the derivative of the following function. v(e¹)

A: Solve the following

Q: (a) Use sigma notation to write the Maclaurin series for cosлx. (b) Use sigma notation to write the…

A: Write  Taylor series first then try to rearrange

Q: * Parallel lines have the slope (m1x m2 )= -1 true O False

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Q: * Find dy/dx for the function y=2 sin(3x) cos2x 4 sin (3x) sin (2x) - 3 cos (2x) sin (2x) O 6 cos…

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Q: 7. Use the Divergence Test to determine whether thee following series diverge or state that the test…

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Q: 12. What is the width in kilometers of a single time zone at a latitude of 40 degrees? (Note: At 1…

A: . What is the width in kilometers of a single time zone at a latitude of 40 degrees? (Note: At 1…

Q: 0 3x - 4x 5× dx

A: We have to solve given Questions.

Q: Q3/: Find the area r=1- cose and over the region R that lies inside the cardioid outside the circle…

A: See this solution I below

Q: 35

A: Please refer to the image below

Q: Find the indicated derivative and simplify. [3x log x³] dx [3x log x³] = dx (Type an exact answer.)

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Find the integral using the substitution u = t8. Enclose arguments of functions in parentheses. For…

A: According to question,Given integral,∫t7 cost8 dt

Q: Calculate the derivative d In (t)dt dx 5 using Part 2 of the Fundamental Theorem of Calculus.…

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Q: 3. Find the area of the plane region bounded above by y = 1 -|x-1| and below by the x-axis. y = 1…

A: Here we have to find the area bounded by the given regions.

Q: Find a point on the graph of 3x y = x-4 12 where the slope of the tangent is - 23. (find x value…

A: This question can be solved using the concept of slope of tangent at a given point.

Q: B) Show that V=367 is the volume of a sphere of radius 3 by using spherical coordinates.

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Q: Q4:B/Simplify Moivre's theorem? [cos 30+ i sin30 15 [cos 0-i sine 1³ [cos 50+ i sin50 ] [cos 20-i…

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Q: Let A = {1,3,4,9,10}, B = {1,2,8,10}. Determine (A ∖ B) ∪ (B ∖ A).

A: Let A = {1,3,4,9,10}, B = {1,2,8,10}. Determine (A ∖ B) ∪ (B ∖ A).

Q: Find, if y=3cose+cos³0 do, and x = sin³0

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: 35e7%dz =

A: Topic = Integration

Q: 5. Evaluate each geometric series or state that it diverges. (a) [2(-6)-k k=0

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Q: Use algebra to evaluate the following limits. x-6 a) lim x6 3x² - 12x - 36 x² + 2x² + 7x 4x b) lim…

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Q: 4- Prove that (a) (b) Ax B|2 = |A|²|B|² - (A.B)² (A x B) (Cx D) = (A C) (BD) - (AD) (B C)

A: Answer is in step 2.

Q: Q2: Find y(2) if D.E as give dy 2+3y=sin 2x, y(0) = 6 dx Given

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Q: For the following set of planes, determine which pairs of planes in the set are parallel,…

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Q: Find the area enclosed between the x-axis, the curve y = x = 1, and x = 3. Draw a rough sketch to…

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Q: 2. Evaluate the improper integral S₂ (5. dx (5-x)4/3 or state that it diverges.

A: The given integral,      ∫28dx5-x43

Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

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Q: Find the first 4 terms in the maclaunin serie, for Y=x/sqart (1-x^2)

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Q: Put the following functions in order of smallest minimum value to largest minimum value. f(x) = (x +…

A: We have given functions f(x), g(x) and h(x)We need to arrange these function in order to smalles to…

Q: Question 2.4. Find all cube roots of -1 in the complex plane. 2e ₂ (i) Ⓒ (i) -1 1 e (5₁)

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Q: Find all vertical asymptote(s) for f(x) = r answers using limits. = √√7-√√3-x |x +41 (x2)) ●

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Q: Find the length of the following two-dimensional curve. π 3 r(t) = (3 cos ³t, 3 sin ³t), for Osts- 4

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Q: etermine whether the function is one-to-one. If it is, find a formula for its inverse. 9 x+2 *** the…

A: We are asked to find inverse of the function when function is one to one.

Q: 5) Find f'(x) given that f(x) = (2x³ + 2x² − 3)(3x³ − 2x² + 4)

A: In this question, we want to differentiate the given function f(x).

Q: Find for THREE of the following functions: dy dx 1-y)+In(cos(x)) + √ 2-y=2(cos(x))

A: To find dydx:

Q: Q2: Find the following limits V-V lim x418√√x+√ 友

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Q: following function show that the @f(z)=3z²+57-6 f(2)=4e²+ sinz b are analytic

A: Above question is solved.

Q: Q3: Solve the following differential equation by using Variable Separable Method: (y²+1)e cosx y² dy…

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Q: 1. Let f(x) = sin² (x) cos(x) g(x) = sin² (x) cos² (x) h(x) = sin²(x) cos³ (x) π Based on the graph,…

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Q: Solve the given differential equation by separation of variables. dx + exdy = 0 y = 14e - 4x + C X

A: We can solve the given differential equation by using the variable separable method

Q: Find the curvature K of the curve at the point P. r(t) = 4ti + 5t²j, P(−4, 5)

A: Given curve r(t)=4ti+5t2j We need to find the curvature at point P.

Q: Find an explicit solution of the given initial-value problem. √2 √1-y² dx - √1-x² dy = 0, y(0) = 2 y…

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Q: Sketch the graph of the floor function f(x) = [x+3] over the interval [-4, 2].

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Q: Q2/ Reversing the order of integration ſª ſªxsinydydx.

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Q: Express as a single logarithm and, if possible, simplify. 1 log b + 3 log c 2 1 log b +3 log c= 2…

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Q: A cylindrical column is (3m) high and (0.2m) radius, if the radius of the column increases at a rate…

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