Find the surface area when the curve C = {(x,y): 0 < x < 2, y² = 2 x} | about the x-axis.

Q: Question 7 Find the area enclosed by the curves y=2r², y=2x.x=- and x = 1 A) 45/51 B 65/89 59/76 D)…

A: Here is the solution

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Q: f(x,y) = 2y3–3y² – 12y+2x2 – 4x+2.

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Q: 3. Calculate the line integral S F - d7, where F = (x²y³, x³y?) and C is the path given by C 7(t) =…

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Q: A rotating light is located 15 feet from a wall. The light completes one rotation every 5 seconds.…

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Q: Q2) Solve the D.E xdy + (2y-x+ 3x)dx 0

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Q: 2x3 dx 2x2-4x+3 3.

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Q: The acceleration function (in m/s²) and the initial velocity v(0) are given for a particle moving…

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Q: Find f"(0) for the function f(x) = (x+1)e².

A: Given query is to find the Indicated derivative

Q: marginal cost of a product is modeled by dc 16 dx 16x + 7 vhere x is the number of units. When x =…

A: Given query is to find the cost function.

Q: Q16. Consider the function z = f(x, y) = x² + 16y? + 4. (a) What is the domain and range of ƒ ?…

A: Given function f(x,y)=x2+16y2+4 As per our guideline we supposed to answer only first three subparts

Q: a. Suppose that Miller Corporation can produce 3500 refrigerators when the number of hours of…

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Q: 36 – x2 – y? and S2 be t Let Si be the hemisphere with Cartesian equation z = 6 – upper nappe of the…

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Q: Evaluate 2x(x2 + 2)*dx

A: First I have used  a substitution and made integral easy and then solved it.This is the process.

Q: Use Newton's method to approximate a root of the equation +x + 4 =0 as follows. Let 1 = - 1 be the…

A: The given equation,    x3+x+4=0

Q: Find T(t) and N(t) at the given point. r(t) = (t² – 8)i + tj; t= 8

A: Given,            rt=t2-8i+tj ; t=8To find : Tt and Nt at the given point.We know that,…

Q: In this problem, please evaluate the trig functions without a calculator and do not use a decimal…

A: Equation of a tangent line of y=f(x) at (x1,y1) is given by, y-y1= [dy/dx]at x=x1 (x-x1)

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Q: Find the expression of the general term of the sequence given by 3 5 7 9 11 1, 2'6' 24' 120 ' 720 2n…

A: The given sequence,      1,32,56,724,9120,11720

Q: Describe the graph of the equation. r = 16 cos ti + 7 sin tj – k O It is an ellipse in the x = -1…

A: Let's find.

Q: e sin (e^) cos" (e*) c 6. COS

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Q: If a club consists of 13 ​members, how many different arrangements of​ president, vice-president,…

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Q: The dimensions of a rectangle are measured to be 8 ± 0.1 by 4 ± 0.2 inches. What is the approximate…

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Q: 1. Identify the type of conic section whose equation is given, then find the vertices and foci.…

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Q: 3y 6. S dy y-3 7. SVIV7+xVx dx 8. S dr V1+r3

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Q: An individual needs a daily supplement of at least 312 units of vitamin C and 170 of vitamin E and…

A: Let, the amount of food I be x ounces.and, the amount of food II be y ounces. as the quantity of…

Q: 4. Find the exact value of the expression. (a) 10log 36 (b) In e3

A: Explanation of the answer is as follows

Q: ||r'(t) × r"(t)|| Use the formula k(t) to find k(t). ||r"(t)||3 r(t) = e*i+e*j K(t)

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Q: 10 9. Consider the function f(x) %3D Let F(r) be the antiderivative of f(z) with F(1) 0. Then F(x)

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Q: Find the limit. lim (t i - 7 j+ t k) t-5 lim (t i - 7 j+? k) i+ i j+ i k

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Q: 4. Find the indefinite integral. (Remember to use absolute values where appropriate. Use C for the…

A: We have to calculate indefinite integral ∫{(3x2+6) /(x3+6x) }dx Let us say  I = ∫ {(3x2+6) /(x3+6x)}…

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) a + bxº dx 10ax + bx10

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Q: 0. xe-4x dx 1 dx x(ln x)3 4

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Q: 3"x" Σ ,x € R, is: n! A primitive for the function f(x) = n=0 Choose an option: 3n+1n+1 (n+ 1)! n=0…

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Q: 1. Find the equation of the tangent line (s) to the following set of parametric equations at the…

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Q: f (x) = (100° + Sin (–72)) 5- Calculate the derivative: -15

A: Given function  f(x)= ( 100x5 + sin(-7x))-15

Q: 1 2 1 | | (x² + y»2 + z²)dzdydx lo Jo

A: To evaluate the given triple integral: ∫-10∫02∫01(x2+y2+z2) dz dy dx=∫-10∫02∫01(x2+y2+z2) dz dy…

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A: To find the area between the line and x axis.

Q: Find the area of the shaded region Blank 1 Note: Enter exact answer x = y 20 1000 y? 20

A: x=yx=1000y2Solve both the equationsy=1000y2y3=1000y=10The limits of y are from 10 to 20.

Q: 2- Calculate y": y = 5x2 Sin (3z) - 2x Cos (5x)

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Q: 3 2. (8x2 – 3x) (12x2 – 3) dx

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Q: Find the arc length of the graph of r(t) = ev2ti+ e¯v2tj+ 2tk, 0<t < v2 In 5 NOTE: Enter the exact…

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Q: Find the curvature of the curve 7(t) = (3 cos(4t), 3 sin(4t), 4t) at the point t %3D Give your…

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Q: nswer.

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Q: x2 - 4ху- 2у2-2 %3D0 4xy to

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Q: A woman standing on a cliff is watching a motor boat through a telescope as the boat approaches the…

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Q: 7. S(x – 9)7 dx 8. S: r5 dr V3-r6

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Q: Find f(-5e3* + VE)dt

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