Find the volume of the solid obtained by rotating the region bounded by y = 3x, x = 4, x = 5 and y = 0, about the x-axis. V =

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A: Given query is to find indicated derivative.

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Q: am confused can you highlight answers please thank u

A: From the original solution the answers are: Intercept: 0, 0 Relative minimum: -5, -110 Relative…

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A: Apologies for the inconvenience. In the second last line there was a calculation mistake.

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Q: ind r'(t), r"(t), r'(t) · r"(t), and r'(t) × r"(t). r(t) 클리 - 5j + 6 (a) r'(t) (b) r"(t) (c) r'(t) ·…

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Q: Find the reference angle for the angle 109°.

A: Topic:- geometry

Q: Differentiate. 1. y = 7 2. y = 6 7. y = 72 9. y = e 8. y = 4*s 10. y= e 3. f(x) = 8* 4. f(x) = 15

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Q: 2. The sum of a two-digit number is 13. When 27 is added to the original number, the result is the…

A: To find out the original number.

Q: Find the area bounded by the graphs of the indicated equations over the given interval.     y=−ex​;…

A: Note:- Here your equation of equation we use y=-ex , y=0 , -2≤x≤1  Given problem:- Find the area…

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Q: Calculate xz dS, where S is the cylinder (including the top and bottom) x + y = 16, 0 < z < 5. %3D

A: answer is in next step

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Q: 1. The sum of the digits of a two digit number is 15. One-third of the number diminished by 12 is…

A: A detailed solution is given below.

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Q: sin e = If and 0 in the first quadrant, find Cos 20

A: A detailed solution is given below.

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A: Here I am providing my handwritten solution

Q: Optimize Z= In(4x2 - 24x + 2y2 - 20y) optimize the function. Find Zx, Zy, Zxx, Zyy, Zxy. Comment…

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Q: Find the third degree Taylor polynomial centered at 2 for the function f(x)=e²* + 3.x .

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Q: Question 15 Find the curvature k and radius of curvature R for the curve at the given point. y = sin…

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A: topic- definite integral

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A: Clearly,

Q: Solve the following given differential equation  using the method of indeterminate coefficients

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Q: ving limits. Since you

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Q: The company can sell the item for $90,000 each. a) Write a cost function C(x) and a revenue function…

A: Given query is to find cost function, revenue function and profit function.

Q: .W (3) Solve the following differential equations of

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Q: Question 5 Find the volume of the solid that results when the region enclosed by the given curves is…

A: To find the volume of the solid that results when the region enclosed by the given curves is…

Q: Use the summation properties and rules to evaluate the series. 5 E (312 - 21 + 6) i= 1 5 E (31? - 21…

A: Use the summation properties and rules to evaluate the series.

Q: 7. Find the area of the region bounded by y = 5x² +1, x = 0, x = 2,y = 0. Give a sketch of the…

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Q: 1 Evaluate dx. - 2x 10 + e 1 dx 2x + C 10 + e

A: To solve the following integral problem

Q: 4) Compare your answers

A: answer is in next step

Q: Find the foci of the hyperbola. 2-9y-90y-234 = 0

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Q: Find the equation of the plane perpendicular to the line x 2t, y = 6 - t, z = 4+t and containing the…

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Q: 6. (ax3+ bx2+cx) dx= 2b | x2dx where a,b and c are constants. -9 A) True B False

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Q: 13) which of the following Series convenge' 7n Ci) In hzg

A: i)∑n=1∞ 17nThe series diverges by p-series test.(∑n=1∞ 1np converges only when p&gt;1)=17∑n=1∞…