Let g be the real-valued function defined by g(x)= Find the solution to the equation = This equation has no real solution. 1 1 X (gog)(x) = 3. x 2-15 24 || X = 1 2 x = 1 X = −1

Q: Find the area of the given region. y = sin² πx y 1.0- 10.5 y=sin² лx 0.5 1.0

A: Area below the curve is the definite integral of the curve in given limit of region

Q: Assignment: Consider the region bounde by the parabolas: 2 2 y = x + 4x + 3 and y = x + 2x + 3. A.…

A: Area under the curve f( x ) and g( x ) is given as A = ∫ab[ f( x ) - g( x ) ]dx Given functions y =…

Q: A bucket begins holding 15 kgs of sand. The bucket is to be lifted to the top of a 20 meter tall…

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Q: ∞0 (x+1)" n=1 Vn4n

A: Use the Ratio test

Q: 15, Suppose a company has fixed costs of $1200 and variable costs per unit of 16x + 1620 dollars,…

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Q: T -2 4 f(x) g(r)|h(r) 5 4 9 2 -3

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Q: 5. The graph below shows the function h(x) over the interval 7≤x≤7. At which x-values is h(x)…

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Q: Determine a definite integral that represents the area of the region enclosed by one petal of r = 4…

A: We have,      r = 4 sin (3θ)       a = 0

Q: Evaluate the integral. If the integral converges, determine the number it converges to. If the…

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Q: 33 ow your work and explain, in your own words, how you ar relevant explanations may receive reduced…

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Q: Find the given vector. 1. e, where v = (4, -2, -1).

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: (b) J₁ In x x3 dx

A: To determine whether the following integral is convergent  or divergent.  ∫1∞lnxx3 dx Note: Since,…

Q: Consider the following integral: a) Note: answers are to be entered to four significant figures. b)…

A: Finally, just sum up the above values and multiply by Δx/2 = 1/4 : = 1/4(10.76720 + 22.10994 +…

Q: -g(x) = x¹/3 — x-2/3

A: g(x) = x1/3 -  x-2/3

Q: Find the critical points in the domain of the function f(x) = 7x³ - 6x.

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Q: Consider the surface F(x, y, z) = x6x6 + sin(y8z6) — 10 = 0. Find the following partial derivatives…

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Q: 3) Find the equation of the osculating circle of the standard parabola y = x² at its vertex.

A: To find the equation of the osulating circle of standard parabola y=x2 at its  vertex

Q: Please solve this 100% Correctly and ASAP. Thx  Find the equation of the tangent to the function y =…

A: Tangent line formula passing through the point (a,b) and slope m is  y-b=m(x-a)

Q: 2x 4. If x = (1, -2, 7), ³ = (0, 5, 1), and z = (1, 1, -2), then what is the value of a. 6 12 b. 7…

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Q: В (9,-8)

A: We know that the vector= Terminal point -initial point

Q: Let Find e such that lim f(t) exists. t 2 The cis f(t) = 4 1 2t t + c for t 2

A:

Q: One side of a triangle is increasing at a rate of 9 cm/s and a second side is decreasing at a rate…

A: One side of a triangle is increasing at a rate of 9 cm/s and a second side is  decreasing at a rate…

Q: company has revenue function R(x)=8000x-40x2-x3 (in dollars) wehre x is the number of items sold. A…

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Q: Find the intercepts and the vertical asymptote of Enter the intercepts as points, (a, b). The…

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Q: 2x cos(x²) esin(x2-

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Q: Find the indicated partial derivative. V = In(r4 + s5 + tº); Ꭷ3v ərəsət Ꭷ3v ərasət

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Q: Find two unit vectors that make an angle of 60° with  v = 3i + 4j.

A: We are required to find: Two unit vectors that make an angle of 60° with  v = 3i + 4j.

Q: The following equation shows how a population grows every year by 5%. P(n) = 2000(1.05)" Where P is…

A: P(n)=2000(1.05)n n=10 years

Q: Find the area of the region enclosed by y = 3.25x and x = 7.5-y². 2 2 1 2 w A 5 6 N Use horizontal…

A: The area bounded by the curves x= f(y) , x= g(y) between y= a and y = b is given by A = ∫abfy-gy dy

Q: Consider the function f(x) = 2x³-9x² - 108 +4 on the interval [-4, 8]. (a) Since the conditions of…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: The function Ур is a particular solution to the specified nonhomogeneous equation. Find the unique…

A: The given differential equation is;  y''+2y'+2y=24ex(cosx-sinx)  yp=6excosx y(0)=0, y'(0)=1.

Q: I The region formed by y = 3x - ³y = 2, and y-axis is revolved around the y-axis. Find the volume.…

A: The region is formed by the curves, y=3x-x3y=2x=0 y-axis Shell Method formula- The volume of a…

Q: 9. The region R enclosed by the curves y = √√x and y = x² is rotated about the x-axis. Find the…

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Q: -5 y 30 20 10 f 5 (5,2) 10 15 20 X

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Q: x² c² and y=c²x² is 2 C - 2 Find c> 0 such that the area of the region enclosed by the parabolas y =…

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Q: Find the equation for the plane through the points Po(-2,-4,5), Qo(4, -3,1), and Ro(-3,4,-3 Using a…

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Q: 5. The golf ball manufacturer, Pro-T, has developed a profit model that depends on the number x of…

A: To find : maximum profit and values of x and y to maximize it.

Q: Write a Riemann sum and then a definite integral representing the volume of the region, using the…

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Q: 2. Given z(x, y) = x².3√/y+ex-y + 5 find oxoy²

A: Question 2)  Given function  z( x , y ) = x2.y3 + e4x-y + 5x2∂3z∂x∂y2 = ?

Q: Simplify the following numbers and write them in standard form: a. (4√-16+2 (150) -2(-4+3 (205)

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: A CD has diameter of 130 millimeters. When playing audio, the angular speed varies to keep the…

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Q: Question 4 Given that sin() = 0.73, match each trigonometric function with its value. cos(8) csc (8)…

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Q: -5.4 Rewrite e =h as an equivalent logarithmic equation. Enclose arguments of functions in…

A: Given :- e-5.4=h To Rewrite :- The given equation as an equivalent logarithmic equation.

Q: Determine whether the lines and intersect. If so, find the point of intersection. r₁(t) = (0, 1, 1)…

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Q: The decibel level of a sound is given by the equation D = 1010810 ( where / is the sound's intensity…

A: The Decibel level of a sound is given by the equation  D = 10log10( II0  )  I is the sound intensity…

Q: X cos(x) dx?

A: ∫xcosxdx

Q: 6) Use the Binomial Expansion Theorem to determine the sixth term in the expansion of (x + 3y)8

A: The nth term in the binomial expansion of (x + y)n is given by Tr+1=nCrxn-ryr

Q: Integral is convergent or divergent. Evaluate those (c) (d) S 2² 9+x6 dx

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Q: Q2.2 The amount of a sample of a radioactive substance remaining after t years is given to be a…

A: The Amount of a sample of a radioactive substance remaining after t years is given  to be a function…

Q: Find the scalar equation of the plane that contains a(7,1,3), b(-3,4,0) and c(1,-1,2).

A: We have, Points:- A(7, 1, 3) B(-3, 4, 0) C(1, -1, 2)