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Q: A certain magical substance that is used to make solid magical spheres costs $600 per cubic foot.…

A: As we know that Area of sphere( A ) = 4πr2Volume of sphere( V ) = 43πr3

Q: ~|J O 1- Cos 2πTX) dx L x (1. 2

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Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

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Q: lim 8118 3 3+2½X

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Q: (b) (c) Ο Ο Ο Ο 0 Ο Ο Ο Ο 8+6=2 8 2 = 6 2+6=8 8 6 = 2 ( 6 + 2 = 8 L 8 1 8+6=2 +1 8 0 1 2 3 4 5 6 7 8…

A: To solve the following problem

Q: Find the center of mass of a thin triangular plate bounded by the y-axis and the lines y = x and…

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Q: is that a 5 or a 2?

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Q: Itranscript a. Determine whether the Mean Value Theorem applies to the function f(x) = In 16x on the…

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Q: If position is given by p(t) = -1² + 5t, what is the velocity v(t) at t=2? ov(2) = 2 ov(2) = -1…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Find both first partial derivatives. sinh(5x + 13y) əz Әх əz ду || ||

A: To find partial derivatives

Q: Find the absolute extreme values for a(z) = 6 - 476 on [1,2].

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Q: Evaluate the indefinite integral. Answer = +C tan¹(42) de

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Q: Consider the following power series. Let a = lim LIM R 11 (-1)*(x-8)* ku 11k (-1)* 11k (x-8)*. Find…

A: Solution will be given below

Q: Let f (x) = x² - 4x + 4 and consider the statements given below. Select all statements that are true…

A: Given:  fx=x2-4x+4 To Find: To determine the true statements for the given function for the interval…

Q: For the formula at the given point, find the equation of the tangent line 5. y=x²e at the point…

A: Since you have posted multiple questions, we will provide the solution only to the first question as…

Q: (g) Graph the position, velocity, and acceleration functions for 0 ≤ t ≤ 6. O 30 20 -10 10 O 30 20…

A: Given that , ft=t3-9t2+24t

Q: 6.) Find the volume of the solid whose base is the region bounded between the curve x=1-y² and the…

A: Please see the below picture for detailed solution.

Q: Find the volume of the solid bounded by the paraboloids z = −7 + x² + y² and z = 4 − 2x² – 2y² 1300

A: The given paraboloids are: z=-7+x2+y2     and    z=4-2x2-2y2

Q: 40 30- 20- Population of Canada, 1881 to 2011

A: From the graph we can conclude as

Q: The following table records some values of f and its derivative. 1 1 2 3 4 5 6 2 0 1 3645 4-2 1 531…

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Q: According to a study, a vehicle's fuel economy, in miles per gallon (mpg), decreases rapidly for…

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Q: still can't understand. please provide more info

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Q: A group of engineers are building a parabolic satellite dish whose shape will be formed by rotating…

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Q: At what points is the following function continuous? 6x tan x x² + 3 y= Choose the correct answer…

A: Given function:- y=6xtanxx2+3

Q: | - ا 28 (9 — x²)¹¹/2 dx

A: Follow the procedure given below

Q: d) find the displacement (change in position) between 1 and 3 e) find the average velocity (rate of…

A: According to question,Given Position function,x = 8 sin πt6

Q: Maximize subject to the constraints 10x X y P = 4x + 15y+z y + 7z ≤ 20 3z ≤ 36 + 8y x 20 y 20 z 20…

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Q: The graph of the first derivative f' of a function f is shown. (Assume the function is defined only…

A: Since, you have asked a question with multiple sub parts, as per company guidelines we will solve…

Q: lim x-1 d x3+5 xa - X-5 * ха x2 + 4x -5

A: According to question,Given limit,limx→1 x3+5x2-x-5x2+4x-5

Q: Let D be the region under the curve y = In √ and above the x-axis = e. Find the volume of the region…

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Q: y" - 2y + 2y = e secx; Y₁ = e cos x у1

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Q: (2). z=x² + y,k=-4,-1,0,1,4.

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Q: For y = f(x) = 7x, find Ax, Ay, and Ay Ax given x₁ = 2 and x₂ = 4.

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Q: If a rock is thrown vertically upward from the surface of Mars with velocity of 15 m/s, its height…

A: Solution: Given data, h = 15t - 1.86t2   a) velocity = h' (t)   → h' (t) = 15 - 3.72t   t=3 h(3) =…

Q: A roadside wall has a zigzag pattern on it as shown. The two longest lines are each 2 m long, then…

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Q: The indefinite integral of the sum of two functions is the sum of the indefinite integrals. A. True…

A: we have to choose true/false above 3 sub part The indefinite integral of the sum of two functions is…

Q: Find an equation of the tangent plane to the surface at the given point. x² + y² - 9z² = 71, (-8,…

A: To find equation of tangent plane

Q: Complete the following stepts in order to find a vector-valued function r(t) that satisfies the…

A: Given r''( t ) = -32j r'( 0 ) = 2003i + 200j r( 0 ) = 0

Q: Find equations of the tangent lines to the curve x-1 x + 1 that are parallel to the line x - 2y = 3.…

A: Given  curve equation:- y=x-1x+1

Q: x(t) = Find a plane containing the point (4,7,-4) and the line y(t) z(t) = = −4+t 2- 7t - 38t

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Q: Consider the following graph of f(x) 101 6- 4- V 2- 3 5 6 7 8 19 10 11 X -2- 8- -4- -6- -m A -L -00…

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Q: Volume = --1 1,0

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Q: Find the derivative of the function. h(x) = ²x² - 7x + 3/x

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Q: Find the angle of inclination of the tangent plane to the surface at the given point. (Round your…

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Q: Use the equation y = x² - 17x + 72 to answer the following question. For what values of x is y ≥ 0?

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Q: A company produces computers. The demand equation for this computer is given by p(q)=−5q+6000. If…

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Q: 2. Locate the absolute extrema of the function g(x) = x² - 8x + 12 on the closed interval [0, 5].…

A: g(x)=x2-8x+12d dx(xn)=nxn-1d dx(constant)=0

Q: Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region…

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Q: Find all critical points of h(t) = t³/4 - 2t¹/4 and identify them as local maximum points, local…

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Q: In 2012, U.S. consumption of renewable energy was 8.45 quadrillion Btu. Since the 1960s, consumption…

A: Solution: Given: f′(t) = 0.004t + 0.062 To find f(t), we need to integrate the given rate of growth…