If you are offered one slice from a round pizza (in other words, a sector of a circle) and the slice must have a perimeter of 24 inches, what diameter pizza (in inches) will reward you with the largest slice?

Q: Let ³ 10n 4n + 1 Determine whether is convergent.

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Q: The temperature T in a metal ball is inversely proportional to the distance from the center of the…

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Q: 31. TT/2 alo csc t cot t dt 32. TT/3 [/csc²0 de

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Q: Find the limit. lim √√x+5 cos (x + π) X-IA O A. A. -√√5- B. √√5-T C. 0 O D. 1 OE. The limit does not…

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: . Find the partial fraction decomposition for: 8x²-11x+14 x3-x²-4

A: The objective of the question is determine the partial fraction.

Q: Find an equation of the plane with the given characteristics. The plane passes through (0, 0, 0),…

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Q: Find the arc length of f(x) = (1+2²) from x = 0 to x = 2. Simplify your

A: Given :fx=231+x232x from 0 to 2

Q: y y = f(x) 8

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Q: B. Determine the general solution for each given higher order differential equation. Write your…

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Q: Find the outward flux of the field F = 8xyi + 6yzj + 6xzk across the surface of the cube cut from…

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Q: 9. Find the critical points of the following function. Use the Second Derivative test to determine…

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Q: Let f(x) be defined as f(x) = e* sin(x). Find f'(1). (If necessary, round the answer to three…

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Q: Find out how much a retirement account based on a principal of $100509 compounded 5% quarterly after…

A: Topic = Algebra

Q: )  Solve the initial-value problem by using integrating factors. y' = 2y + xex, y(0) = −1 y(x) =…

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Q: The inverse forms of the results in Problem 49 in Exercises 7.1 are et cos bt x^{(5-507² +6²) and b…

A: We need to solve D.E.

Q: 43. If you use the ratio test on the divergent series inequalities will result? +1 > 1 A. lim B. lin…

A: The objective of the question is checking the divergent of series.

Q: To solve the equation e* = 2 we take the derivative of ex. Select one: True False

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Q: Find the average rate of change of the function over the given interval. f(t) = 6t² - 5, [1, 1.1]…

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Q: f(x) = x²-3x-4 x-2 alculate: Intervals where the function increases and decreases Relative maxima…

A: Topic:- application of derivatives

Q: The bakery at Sam's club makes jumbo cookies and regular cookies. The oven can make at most 200…

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Q: Question 1 Suppose I have $5000 to invest, and I am able to invest it at an 8% rate compounded…

A: Topic = Algebra

Q: Consider the function below. x² - 6xy² + y³ = 5 (a) Differentiate with respect to x (y is a function…

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Q: 5. (True/False) If f(x, y, z) = 1, then ffy f(x, y, z)dV gives the volume of V.

A: Since you have posted multiple questions, As per the policy, I can answer the only  first question…

Q: uppose Jesse deposits $500 every month for 30 years into an IRA earning ompounded monthly. What…

A: Topic:- algebra

Q: 43. y' = y²

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Q: f(x) dx - f g(x)dx - f¹ g(x)dx A. -1 B. 7 C. 1 D. -7

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Q: Əw ər Let w = xy + yz + zx, x = r cos(0), y = r sin(0), z = re. Use the Chain Rule to find when r=3…

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Q: Assume that the functions ?,?,ℎ:ℝ→ℝf,g,h:R→R are differentiable such that  f′(a)=b, g′(b)=c,…

A: given: ℎ:ℝ→ℝf,g,h:R→R are differentiable such that  f′(a)=b, g′(b)=c, h′(c)=d, f(a)=e, g(e)=ℓ,…

Q: The area of a healing wound day at the moment when r is given by A = ². The radius is decreasing at…

A: This question is based on application derivative.

Q: What is the area under the curve of the following positive function y = 10x4 + 3x² between x = -1…

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Q: Find the area of the region enclosed by one loop of the curve. r = cos 48

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Q: 0.1 4 So V1+x* dx

A: Given : ∫00.11+x4

Q: H.w2: Compute √7, using Newton-Raphson method, Starting from (xo = 1.5) (take an accuracy 5D places)…

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Q: 1. [D³ – 6D² + 11 D - 6) y = cos x sin x

A: To find solution of differential equation

Q: Evaluate x ln(x² + 1)dx. (Hint: Use Integration by parts) (x² + 1)ln (x² + 1) − x² + C - Option 1:…

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Q: Solve the initial-value problem by using integrating factors. xy' = y + 4x ln(x), y(1) = 5 y(x) =.

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Q: Find an equation of the tangent plane to the surface at the given point. x² + y² 7z² = 138, (-8, -9,…

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Q: 2.: Select the correction choose. A) Using two iterations of the Simple Iterative Method, find the…

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

Q: Find the moment of mass from the x-axis for y = x ln(x) − 3x and y = 1 bounded by x = 3 and x = 6.…

A: Given data:- Surface density is equal to 0.37 kg/unit2 y=xlnx-3xy=1 Bounded by, x=3 and x=6

Q: Given the function f(x) = x²-3x-4 x-2 Calculate: a) Intervals where the function increases and…

A: Solve the following

Q: First-class postage is $0.37 for a letter weighing up to one ounce and $0.24 for each additional…

A: First‐class postage is $0.37 for a letter weighing up to one ounce and $0.24 for each additional…

Q: 11. Evaluate the area under the curve y= on the interval [7, 9].

A: Given,            The curve is y=x2 and the interval is 7,9.To find : Evaluate the area under the…

Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

A: Given: x=y4,y=1, and y-axis x=4

Q: Find the definite integral of ƒ™/* cos 3x sin 5x dx. -π/4 Option 1: Option 2: Option 3: Option 4:…

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Q: A wrench 20 cm long lies along the positive y-axis and grips a bolt at the origin. A force is…

A: A wrench 20 cm long lies along the positive y‐axis and grips a bolt at the origin. A force is…

Q: Example: Determine the volume of the solid that bounded by the parabolic cylinders y-x2 and x-y2 and…

A: Given: we have to find the volume of solid that bounded by the curve y=x2 and x=y2 and plane z=0 and…

Q: 7. Compute the gradient of the following function f(x, y, z)= e-2z sin(2y) cos(2y);

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Q: 100 t/min -6 ft As shown in the above picture, a 6 foot tall man is standing on a beach at night. He…

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Q: (85) 6-4,3) Graph off -10 (5,0) fo (8-2) Let f be a differentiable function defined on [-10, 10]…

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