8(x – a) + 8(x + a)

Q: One of the parts in the proposed design of a gadget is a tapered cylinder. It is made by decreasing ...

A: To solve the equation for L, 

Q: S(x, y, z) = 2x'y²z²

A:

Q: At what point do the curves r (t) = (t, 2 – t, 24 + t²) and r2(s) = (6 – s, s – 4, s?) intersect? %3...

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Q: [2x + ycos(xy)]dx + xcos(xy)dy = 0 %3D

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Q: B. EXACT EQUATIONS Find the general solution of the following differential equations

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Q: Solve the differential equation with appropriate method. Simplify final answer the simplest possible...

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Q: If the graph of the equation y= sin(x) is to be modified to shift it to the left by 2 units and tran...

A:

Q: Obtain the solution of the following differential equations. 7. xy′ − y − 5x^4 − 3x^2 + 2x = 0

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Q: Find the total mass of a 5-m rod whose linear density function is p(x) = 3 + cos (Tx) kg/m for 0 < x...

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Q: Find the average value on the interval 3, 6| of the function whose graph appears below. average valu...

A: Average value of a function f(x) over interval [a, b] is given by the following formula :-          ...

Q: S sin³xdx =

A: Here we have to solve the given Integral.

Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis. Ma...

A:

Q: If f(x) = 5-(3/x)+(1/2x^2), then f'(x)

A: NOTE-Since you have asked multiple question, we will solve the first question for you. If youwant an...

Q: 12. Let f(x, y, z) = xy – 2³. Calculate the directional derivative of f at the point (3, -2, –1) in ...

A: We have to find direction derivative

Q: 1. Find the volume of the solid obtained by rotating the area in the first quadrant bounded by y = x...

A: As per our guidelines we are supposed to answer only one question. kindly repost others question as ...

Q: y"+12y'+37y=10(e^-4t) @y(0)=4, y'(0)=0

A: Given: y''+12y'+37y=10e-4t So, we can also write as: D2+12D+37y=10e-4t The auxiliary equation is: m2...

Q: Find the volume of the solid obtained by rotating the region enclosed by the curves f(x)=x2+8f(x)=x2...

A: Given problem:- Find the volume of the solid obtained by rotating the region enclosed by the curves ...

Q: find lim 8-10%2

A: Simple limit 

Q: V ? x -dx 1-31nsec cot x

A: ∫ tanx × (1-6ln Sec x)1/2 dx  

Q: 5. Where is the absolute value function f(x) = |x| differentiable?

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Q: [ san28 e tan 20 ,tan 28 sec 2 Bd

A:

Q: Suppose we have a velocity function and an initial condition for position: 1 1 2t v (t) = r (1) = (0...

A: As per our guidelines, we can answer only one question in a single request. Kindly re-post the other...

Q: Write an equation of the tangent line to the curve f (x) = 2// + 3x at the point (4, f (4)). Upload ...

A: Here, the given equation of the curve is: f(x)=2x+3x To find the slope and the equation of the tange...

Q: 8²z 8. If z = x + y Inxy, show that x- 8 z + x² 8²z 8y² 8x8y

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Q: a set of n values x1, x2.. X n has (3 standard deviation 6, the standard deviation :of n values x1 +...

A: This question is related to statistics.

Q: Find the volume of a solid obtained by rotating the region underneath the graph of f(x) = 28 – 7x² a...

A: Topic = Volume

Q: A plane flying parallel to the ground at a height of 4 km passes over a radar station R. A short tim...

A: NOTE: Refresh your page if you can't see any equations. . here we have y=4 when s=5, s'=300 km/h

Q: A. Find the standard (slope-intercept form) equation of the tangent line to the following: f (x) = x...

A: "Since you have asked multiple question, we will solve the first question for you.If you want any sp...

Q: 1 (x² +2)% 3 4. Consider the curve y = 0<x<1 a) Find the length of this curve b) Find the volume of ...

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Q: a.) Sketch the solid obtained by revolving the region under the graph of f = x2 about the x-axis ove...

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Q: +0+ dx 3. = TE 1+ x2 -00

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Q: 5e*dx V9-12e3* +4e6x

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Q: Find the volume of the solid with the given base and cross sections. The base is the circle x? + y? ...

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Q: Find tan'e de cos*e 33. sin o 36. Cos

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Q: In the interval 0< x < 27 how many values of a satisfy the equation sin x = -? 01 0 4 O 3 0 2

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Q: Find parametric equations for the tangent line to the curve with the given parametric equations at t...

A: Given:

Q: 1. Use the chain-rule and find x and ÿ in terms of x, i, and ä if: а) у3 4x? b) y= 10x3

A: To find y" in terms of x, x', x".

Q: Find one or more values of each of the following complex expressions

A: We need to compute the value of the given expression.          e2tanh-1i

Q: dx If x2 + y2 + z2 = 9, dt dy 6, and dt dz when (x, у, z) %3D (2, 2, 1). dt 3, find %D %3D dz dt II

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Q: (Ā+B) • Č, if à = (1, 2, 3), B = (-2, 3, 0) and Ở = (5, 3, 2) Solve for А. 10 В. 12 С. 14 D. 16

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Q: Which of the following lines is an asymptote of the hyperbola (2- 1) (y+1)2 = 1? 4 9. O 2x +3y-1 = 0...

A: We will find the asymptotes of the hyperbola.Below find the solution in the image.

Q: The length of the curve y = In(cos x), 0< x <:

A: To determine the length of the curve, y=lncos x, 0≤x≤π4.    

Q: /1. (D3 – 3D² – 3D + 1)y = 0

A:

Q: Evaluate / 9 +2. 3" dæ. 3" –1

A: We can evaluate the integral as below.

Q: Find the volume obtained by rotating the region bounded by x = y² and ¤ = y around the r-axis. %3D

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Q: 1 1. Solve v2(4") 8*+1

A: The solution are next step

Q: Which of the following statements are true? Statement 1: Angles of 5° and-365° are coterminal. State...

A: To write the statements which are true. 

Q: Give an example of a definite integral which has value 2022. Only answer is required.

A: Example of a definite integral has value 2022.

Q: 6. Choose the best answer. Simplify (Use Pythagorean identities): 2 cot2 0+3- csc? 0 -1 tan 0 +2 cot...

A:

Q: e sinh 2x dx

A: The given integral,       ∫e-xsinh(2x) dx