Find the exact area of the surface obtained by rotating the curve about the y-axis: y = 3 + 5x2 ; 3 < x < 8

Q: y(x) =x' (2x – r²)

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Q: Find the component form of v given the magnitudes of u and u + v and the angle axis. ||u || = 1, 0 =…

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Q: Match the integral expression on the left to its suitable transformation on the right, after using…

A: Let's find.

Q: Juanita wishes to have a rectangular garden in her backyard with an area of 100 ft2. Find the…

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Q: a) Evaluate the following integrals: eta TT/2 sin5e do tan 0 + tam30

A: ∫0π/2sin5θtanθ+tan3θdθ=substitute…

Q: Determine the value of C in on the antiderivative of F(x) = sin°(x)cos³(x) for x = 0.701 and y =…

A: Let's find.

Q: By using substitution, show that x = 4 pi / 6 is a solution to the equation sin (2x) = cos (x). Show…

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Q: -x2 + 5 2. y = cos 2x³

A: Given: y=-x2+5cos2x3

Q: 2. Find the derivatives of the following equations: y = sin¬'(1 – t) y = csc-(x/2) y = In(tan¬1 x) y…

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Q: Rand your an swer to the neullse thousandths. Whad yalve oftwll U:lil!1!

A: To find the value of t when the function value is 1111.

Q: Convert the following number in the radix (base) given to their equivalent value in the radix…

A: (36.125)10 = (100100.001)2   a. (36)10 = (100100)2

Q: A closed rectangular box is to have a square base and a volume of 40 ft3. y Letting x denote the…

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Q: The integral expression J xcos (2x)dx can be evaluated using integration by parts of the form…

A: This is a problem of integration. Based on the uv formula we will solve the question.

Q: Q/2Salve By G. E the system 2x-9122=6

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Q: Find the intervals in which the function f(x)=2x* +8x -5 is concave up/concave down. Also, find the…

A: Given a function of x.

Q: (1+ ye" + xye")dæ + (xe² + 2)dy = 0 C = xye² + 2y+ x C = xye" – 2y – x %3D - Option 3 O Option 4 C =…

A: ANSWER: Option 3.

Q: Find a particular solution to the nonhomogeneous equation corresponding to the given initial…

A: Find a particular solution to the nonhomogeneous equation corresponding to the given initial…

Q: In how many ways can 3 boys and 2 girls sit in a row if a certain boy and girl must sit next to each…

A: Given that there are 3 boys and 2 girls to sit in a row. A certain boy and girl must sit next to…

Q: Evaluate: Jx?cos(2x)dx (A None of the above 2x sin(2x) – 2xcos(2x) + sin(2x) (B +C 4 2x?sin(2x) +…

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Q: Determine the integrating factor xydy - (y2-3x2)dx = 0

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Q: Question 2.5 Limit Progress Check Question 1 Table lim 3 lim x Submit

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Q: The integral expression J xCos-(2X)dx can be evaluated using integration by Judv= uv- Jvdu Let…

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Q: f(x)=3x2-12x+5 and the closed interval [3,0] Which of the following is the absolute maximum and…

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Q: Consider the helical segment of the following figure defined by the parametric equations x =…

A: We have to find value of line integral.

Q: thea calcudeator to lach to the near1sk thousandth tHog124 20) 10gs 10.818

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Q: Letting aa and bb be two positive real numbes such that ab=lab=1, which of the followings is true?…

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Q: Find dy/dx of the function. y=log2 x

A: To find derivative of given function.

Q: Match the integral expression on the left to an equa expression on the right. Ssin(əxisin(4x)dx…

A: In the first and third integral....minus sign will not come in the answer expression...as I have…

Q: Let x = 0.46 and y = 4.74. Determine the value of C when you ev |tan-(2x)dx.(Use 2 decimal digit)

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Q: xsin-(x) If x =0.03 and y = 0.62, then value of C in the antiderivative of F(x) = is V1-x2

A: Given  F(x) = x sin-1(x)1-x2

Q: Employ trapezoidal rule to approximate value of the integral f() dx using the table given below. x|…

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Q: In Problems 63–64, explain what is wrong with the statement. 63. So So f(x, y) dy dæ = S, Sº f(x, y)…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Find a and b such that v = au + bw, where u = (1, 2) and w = (1, -1). v = (9, 3) a = b =

A: This question is based on vector form.

Q: Fór the functión f whósé graph is given, state the following. (a) lim f(x) X - 00 1 (b) lim f(x) X →…

A: consider the figure given below :

Q: Determine the equation of the line that is tangent to y = elan (2x) at x = 8

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Q: rectangular flower garden with an area of 390 m2 is surrounded by a grass border 1 m wide on two…

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Q: Applications of Differential Equations A certain radioactive material is known to decay at a rate…

A: Let's find.

Q: If the population of a country doubles in 50 years. In how many years will it triple under the…

A: Let P be the population of the country at time t.

Q: (ii) Find the following indefinite integrals: 1 (a) dx (b) dx 5 - x* xe* ! dx (c)

A: A)I=∫ 1x3+1x3 dxI=∫ x-3 dx + ∫ x-13 dxI=x-3+1-3+1 +x-13+1-13+1 +CI=-12x2+3 x232 +CI=32x23 -12x2+C

Q: 3.S(1 + e2x)5e2x dx

A: Note: As per the company policy we are supposed to solve only one question, so kindly repost…

Q: Determine the value of C in on the antiderivative of F(x) = sin°(x)cos°(x) for x = 0.213 and y =…

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Q: What is the instantaneous rate of change of f(x) = 3x + 5 at xo 1?

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Q: 32) Use the scalar triple product to determine whether the points A(1, 3, 2),  B(3, -1, 6),  C(5, 2,…

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

Q: Let x = 0.29 and y = 4.03. Determine the value of C when you evaluate tan(2x)dx.(Use 2 decimal…

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Q: Find the angle 0 between the vectors in radians and in degrees. i + sin 3. in)j, v = cos()i + sin()…

A: Given problem:-

Q: Suppose that you have a task of measuring the lengths of a bridge and a rivet and come up with 9999…

A: Let's find.

Q: If f(x) is a continuous function such that it is increasing on [1, 3], then Si f(x)dæ is less than…

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Q: The coefficient of sin(x) in the antiderivative of Flx)=(cos() is 15/32 (use fraction form not…

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Q: Directions: Use the Rules of Differentiation to differentiate the following functions. Simplify, if…

A: Solution :1. gx=2x3+6x-2g'x=6x2+6g'x=6x2+1

Q: y(x) =x' (2x – r²)

A: solution