Question Determine the interval(s) for which the function shown below is decreasing. 2 6-6 2 3 Provide your answer below:

Q: 17. Let y = 4t + 3, t = 6e and s = 1 + In x. Find dy in terms of x. dx %3D

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Q: Use double integration to find the volume of the solid. ... 3 3x + 2y + 4z = 12 А) 6 B) 9 12 15

A: Let's find.

Q: n/2 sine Evaluate the iterated integrals r cos e dr de 0.

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Q: Use the arc length formula to find the length of the curve y = 3x - 5, -2 SxS 3. Check your answer…

A: This question is related to Functions and curves, we will solve it using given information.

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Q: Find the distance between the parallel planes – 2x + y + z = 0 and 6х — Зу — 3г — 10 — 0. - - %3D -…

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Q: Question 13 2 Evaluate the iterated integral. yz dx dz dy

A: Evaluate the iterated integral .

Q: - x)dx 1 X 2 х +x+1

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

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A: Trigonometry

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Q: y=x*(1-x)ª 4-4x 4+4x

A: Use the chain rule of differentiation.

Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) dx…

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Q: Question 9 1 2 1 Evaluate the iterated integral. J, J. J. (x²+ y2 + z?) dx dy dz -1°0 0, А) 5 В) з 8…

A: The solution is given in the next step.

Q: Evaluate the integral by choosing a convenient order of integration: « сos(хy) сos1"(тӕ) dA; R —D |…

A: Given

Q: Question 6 Use double integration to find the volume of the solid. ... 3 3x + 2y + 4z = 12 A) 6 B) 9…

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Q: xydA R

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Q: Use Green's Theorem to evaluate the line integral. y² dx + xy C: boundary of the region lying…

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Q: Evaluate the iterated integral. yz dx dz dy 45 в) 34 47/3 D) 5

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Q: 11 Evaluate the iterated integral. JJ, J, (x² + y² + z?) dx dy dz A 5 в) з D 10 00

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Q: Find the divergence of the vector field F. F(x, y, 2) = In(9x+ 8y² )i + 72xyj + In(8y² + 5z? )k #6…

A: Solution is done in step 2 and 3

Q: Find the limit. lim (t i - 9 j+ 1? k) lim (t i – 9 j+ k) = i+ j+ k i i i

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Q: A torus is formed by revolving the region bounded by the circle x? + y? = 49 about the line x = 8…

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Q: 2. Write the given (total) area as an integral! a. The area above the x - axis and below y = 4 -x2 T…

A: Area between the curve  y=f(x) and x-axis is defined as ∫abf(x)dx where a, b are point of the…

Q: 1. Find the equation of the tangent line to the curve x = e', y = et att = 1. 2. Find all values of…

A: tangent property

Q: Question 2 Use double integration to find the volume of the solid bounded by the paraboloid z = 9x2…

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Q: Question 16 Use double integration to find the volume of the solid bounded by the paraboloid z = 9x…

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Q: The graphs of the function f (r) =7 – 2? and g(æ) = 3 are given below. %3D 10 f(x) = 7-x2 4- g(x) =…

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Q: ||r(t) × r"(t)|| Use the formula k(t) to find «(t). 3 r(t) = e%i+ ej %3D K(t)

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Q: 1- Show that the following subset is a subgroup. H = {o e S, lo(n) = n}cS,

A: Explanation of the answer is as follows

Q: Find the curvature and the radius of curvature at the point t = 0. %3D x = e' cos(t), y = e' sin(t),…

A: r(t)=et cos(t) i+et sin(t) j+7et kr'(t)=[etcost-etsin(t)] i          +[etsint+etcos(t)] j +7et k…

Q: Question 17 Find the area of the region(s) enclosed by the curve f(x) = x°, the x-axis, and the…

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Q: V4-x² c 3-x2-y² Evaluate the iterated integral. x dz dy dx -5+x²+y² A 128/15 в) 16/89 c) 23/6 6.

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Q: Find the area of the surface that is generated by revolving the portion of the curve y = x between x…

A: Given; y=x^2 between x=1 to x=2

Q: SAQ 4.1 Taylor's Theorem Name: Year & Course: Date: Instructor: 1. Find a Maclaurin series expansion…

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Q: Question 4 Find the approximate area under the curve of f (x) = x< +1 from x = 0 to x = 2, using 4…

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Q: Evaluate the line integral / (2x + 7y)dx + (4x – 6y)dy along the curve C: = 6 cos t, y = 12 sin t…

A: Let's find.

Q: Consider a field with V = 8a²y² î + 4y²j + –5y² z³k a) Find the divergence of V: V•V: b) Find the…

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Q: Use Theorem 13.9 to find the directional derivative of the function at P in the direction to PQ

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Q: 32. If y=x^(3/2) what is the approximate change in y when x changes from 9 to 9.01? a. 0.045 b.…

A: Topic:- Basic maths  Note :- as per our guideline if more than one question uploaded than only first…

Q: ne area Of Lhe region

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Q: Find the Laplace transform of: 1. f(t) = e(3t-7) cos³(6t) %3|

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Describe the graph of the equation: r = 5ti – 8j + (1 + 5t)k. [Choose the correct answer.] O The…

A: Given, r= 5ti -8j +(1+5t)k Therefore, The equation is given by, r= &lt;0,-8,1&gt;+t&lt;5,0,5&gt;

Q: Find the gradient of the function at the given point. g(x, y) 11xe/x (13, 0) %3D Vg(13, 0) =

A: Gradient

Q: Evaluate the iterated integral. 1 z y SS§ 9ze=v² dr dy dz

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Q: Use spherical coordinates to find the volume of the solid. The solid enclosed by the sphere x² + y?…

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Q: The point P(8, - 10) is on the terminal side of an angle e in standard position. What is sec(e)?

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Q: True or False, and give a short reason: (a) If a function is differentiable, then it is continuous.…

A: Given problem:- True or False, and give a short reason:   (a) If a function is differentiable, then…

Q: Evaluate the iterated integral. J. J, J vz dx dz dy A 45 в) 34 (© 47/3 D) 5

A: Topic = Integration

Q: cos x csc3 x + C sin4 x 1.

A: To evaluate the given integral.