The surface area of the solid of revolution of the region bounded by y = 2x, x = O and x = 2 about x – axis is 8V5 n O 2v5 n V5 n O 4v5 t

Q: dy If y=u? and u = x3 + 4 determine dx

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Q: (x² + 2)² Find the dy/dx: Given y =

A: Find the dy/dx

Q: Activity 2 Read and analyze the problems carefully and do as required. 1. Starting from the same…

A: dr/dt=60 cm/s And dn/dt=80 cm/s.

Q: The area between the curves f(x)=x and g(x)= x^2 on interval [0,2] O 2

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Q: finfyiy-6)"dy 2. 2.

A: We have to solve given integral.

Q: Find the dy/dx: Given 2x x+1 y =

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Q: incorrect The answer above is NOT correct. 1.8 F2 1,0 10 The slope of the tangent line of the…

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Q: 1 = dx x + Vx

A: We have to evaluate the integral.

Q: General solution of x dy = (2xex – y + 6x2) dx %3D

A: The given equation is: x dy=(2xex-y+6x2)dx That can be written as:…

Q: work is very unclear. I am lost

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Q: rV1-y² (x² + y³) dy dx -1 J-V1-y

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Q: 1) и %3D Зх?у + xӀпу? — Inxy

A: 1.

Q: cos (0) + sec (-0) tan(0)sin (20) 5. Simplify the following expression:

A: Simplify the following expression

Q: The polynomial of degree 4, P(x) has a root of multiplicity 2 at a = 3 and roots of multiplicity 1…

A: P(x) has a root of multiplicity 2 at x = 3, so (x - 3)2 is a factor of P(x).  P(x) has a root of…

Q: Consider an angle in standard position with measure - 1615°, in which quadrant does its terminal…

A: given angle θ=-1615°

Q: Find the common elrea between Y=2CI+Cose) and carved V=Z(1-Sine) which is Losatel in the funrth…

A: Let's find common area between given two curves. Common area in fourth quadrant.

Q: Change the following polar equation to rectangular form. Show work. 14. r = 3+sine

A: Explained below

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A: calculation of above requirement are as follows

Q: A ladder of length 8 meters leaning against a wall starts to slide. If its upper end slides down the…

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Q: Evaluate the given integrals. 1. ſ cos v2x dx 2. fx a*dx

A: Please see the answer below.

Q: Distinguish the Domain in A Function f of Two Variables from Range in A Function f of Two Variables

A: Suppose the function is: f:ℝ2→ℝ2

Q: (b) Using logarithmic differentiation, find y if y =r' 5* cosh" 4r.

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Q: to complete Problems Use >, , <, or = 8. 3 -5 -3 01

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Q: 3. X Cos X dx COS

A: On solving this we will get

Q: Find the average value of æ on the interval 0, 4| O 16 O 64

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Q: Consider the following limit. Find the limit L. L = (a) Find & > 0 such that |f(x) - L 0 such that…

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Q: Cansider the Relmann sum for (x) = x+ 3x over the Interval [0, 8] (see figure), where *. =0, , = 1,…

A: Consider the Reimann sum for fx=x2+3x over the interval 0, 8 shown in the figure, where x0=0, x1=1,…

Q: Find the length and direction (when defined) of u xv and vxu. u= 3i, v=5j The length of uxv is (Type…

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Q: Find the area under the curve リ=x rom x=0 o X=|.

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Q: The graph of y= sin(x) shifts T units to the left and units upward. Which of the following functions…

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Q: 2r³ – 4x² – x – 3 dx x² – 2x – 3 in |x + 1|+ 3 In|x – 3| + C in Ix + 1|- 3 Inlx – 3| + C Option 1…

A: Given

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Q: Iy 3. cosysiny dy

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Q: y+4 =-V2x

A:

Q: A particle moves along a straight line with its position given by s(t) = -5t2 + 7t + 2. Find its…

A: In this question, we want to find the average velocity between t=1 and t=3.

Q: Calculate the volume of the solid limited by the given surface 3x+2y-z=6 and the conventional…

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Q: Calculate the following integral e-4 dx by using a substitution O - 0.25e^(-4x) + C O 0.25 e^(-4x) +…

A: Take substitution as -4x = t

Q: ACTIVITY 1: Determine if the following functions are continuous at the given value of x. If the…

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Q: Convert to a rectangular coon 12. (3,*)

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Q: Evaluate the limit 25 — b lim b→25 5 – vb

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Q: (MODULE 3& 4) ACTIVITY 1: Determine if the following functions are continuous at the given value of…

A: As you have asked multiple subparts so I have answered first three subparts as per the guidelines.

Q: 5. Find the quadrant where tan 405° lies, its reference angle, and also the exact value.

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Q: (c) y"e* + ye* =x

A: option C is correct answer . explanation in next step   . please give a like

Q: Find the volume gererot ed lby revolving the area bounded bay the parabolic arc Vx t vy = Ja and Hhe…

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Q: Evaluate the following integrals. 1.) Sdv csc 3v 2.) S cot 9x dx

A: ∫5csc(3v)dvSubstitute u=3v→dudv=3→dv=13du=∫53csc(u)du=53∫sin(u)duWe know that…

Q: Find the 23rd derivative of y = -sinx Select one:

A: We have to find 23rd derivatives of y=-sinx

Q: Homogeneou dinan Equati on Oblain the differemtial equation 1. y= 7-2x + e

A:

Q: The velocity function, in feet per second, is given for a particle moving along a straight line.…

A: Here, the velocity of the function is given as: v(t)=t2-t-182; 1≤t≤15

Q: Show that the function f defined by (x, y) = (1, –1) f(r, y) = { x² + y (x, y) # (1, –1) x + y is…

A: Given f(x,y)=1                        (x,y)=(1,-1)x2+yx+y              (x,y)≠(1,-1)