R is the region bounded by the lines y = x, y = -x, and x = 1. %3D

Q: Find the volume oF the solid obtained by rotating about the x-axis the region by y= x' and the lines…

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Q: 3. A girl is flying a kite on a string. The kite is 120 ft. above the ground and the wind is blowing…

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Q: The volume of the solid obtained by rotating the region enclosed by y = 30x - 6x, y = 0

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Q: Evaluate the following indefinite integral. f11 de dx = (Type an exact answer.)

A: To find out the integration.

Q: A ldentifcation. Tel whether the folowing sbligve triangle is Case , Case 2, Cae 3, Case4or Case…

A: The question is not clear

Q: Consider the paints A (-2,3.1),8(0,0.2) and C (-1, 5.-2). (1.) Find a vector of length ST in the…

A: This is a problem of vector calculation. Based on the general formula we will answer the question.…

Q: A moon is in orbit around a planet. The moon's orbit has a semimajor axis of 3.5×10° m and has an…

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Q: The curve below has a horizontal tangent line at the point (1, 1) and at one other point. Find the…

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Q: The equation r(t) = (3t + 5) i+ (4t - 5) j+(4t) k is the position of a particle in space at time t.…

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Q: The area of the region that lies to the right of the y-axis and to the left of the parabola æ = 2y –…

A: topic- Area bounded by curves

Q: Find the vo lume oF the solid OF revolution when the regiON bounded by y = x +1, the solid X-axis,…

A: Given problem:- Find the volume of the solid of revolution when the region bounded by y = x + 1 the…

Q: Evaluate the integral: V1+ 7xd *Input answer as a decimal. Round-off to 2 decimal places.

A: Given query is to find the integration.

Q: Write an equation for the polynomial graphed below 5 4 3 1 2 -1 -1 2 3 4 5 -5 -4 -2 - -3 -4 -5 +…

A: topic- polynomials

Q: Find the volume generated by revolving the area bounded by y =r,r=2, y = 0 about the line z = 2.…

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Q: For the given power series, which one is the interval of convergence? x2n Σ (-3)" n=1

A: We can solve this as follows:

Q: Find the volUme OF the solid obtained by rotating about the y-axis the region boUnded by y= x° the…

A: Follow the procedure given below.

Q: Let f(z) then for all real number the power representation of f is Select one: O True O False

A: Recall : 11−x=∑n=0∞xn=1+x+x2+x3+…

Q: the line tangent to the graph of f at the indicated value of x. Find the value(s) of X where the…

A: The given equation is  f(x)=ln(4-x2+2x4); x=1.

Q: The volume of the solid obtained by rotating the region enclosed by y = 12, T = 2, I = 6, y = 0 |3|…

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Q: Show all the necessary figures and solutions to each of the following problems. 1. Find the area of…

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Q: position in feett seconds after it starts moving is given by s(t)=D9t/t erage rate of change in…

A: Topic:- application of derivatives

Q: Evaluate dx -31 x a,

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Q: What number is in the tenths place - 7.2431?

A: Given Number                           7.2431

Q: Evaluate the given limit |. lim %3 1- x2 2. lim CosX

A: 1. limx→0+1x-1ex-12. limx→∞x1cosx

Q: Harmonic Sequence Solve the following harmonic sequences. 1 1 1 4. What is the sixth term of the…

A: We have to find the sixth term and second terms in the following harmonic series.

Q: #3) Rewrite the integral 27 .2 p dr d0 0. in rectangular coordinates.

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Q: f f(X) = sin 2x then f(X) = CoS (2x) f f(X) = sin 3x then f(X) = -3 cos (3x f f(x) = 2 cos x then…

A: a. Given f(x)=sin2x   Then f'(x)= 2 cos2x    B.   F(x) = sin3x       F'(x)= 3 cos3x

Q: 3- Jッ 2X e dy + 2 (y ē -x) dx =0. dy よx 4- Sinx + cosx y = tan x

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Q: Find the general solution of the differential equation. (Use C for the constant of Integration.) dy…

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Q: Identify the End Behaviors for the function graphed to the right 5+ Right hand end behavior: 3 As x…

A: Given query is to find the end behaviour of the function.

Q: Write a in the form a = a-T+a,N at the given value of t without finding T and N. )3 (7 e*cos t)i+ (7…

A: Given that;                      a(0)  = atT + anN     Let's   Find  the value of at and an.

Q: The polynomial of degree 5, P(x) has leading coefficient 1, has roots of multiplicity 2 at x = x =…

A: P(x) has roots of multiplicity 2 at x=1 so (x-1)2 is a factor of P(x).  P(x) has roots of…

Q: Evaluate the integral: So V1+ 8xdx 3 *Input answer as a decimal. Round-off to 2 decimal places.

A: Given query is to find the value of the integral.

Q: For f(x) = 2x - 8x° +3 find the following. %3D (A) f'(x) (B) The slope of the graph of f at x = 1…

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Q: Evaluate the integral x³ - 3– 2x2 - 4 dx x3 -2x2

A: We have to find integration in this question.

Q: Find T, N, and k for the space curve, where t>0. r(t) = (5 cos t+ 5t sin t)i + (5 sin t- 5t cos t)j…

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Q: Problem 7 Find the horizontal and vertical asymptotes of the function y = f(x) and use limits to…

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Q: At low altitudes, the altitude of a skydiver and time in the air are linearly related. A skydiver…

A: At low altitudes, the altitude of a skydiver and time in the air are linearly related. A skydiver…

Q: (2x + ) dx + ( – 2y) dy = 0 12. (2х + 1+x?y², 1+x²y²

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Q: Solving Separable Equations: 1. dy - x-5 dx y2 2. = dx 3x²(1+ y?)

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Q: II. Find the area bounded by each of the following curves. Show your complete solution. Write your…

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Q: dy without first solving for y. dx Use implicit differentiation to find y? 1 36 36 dy dx At the…

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Q: lim,[-6(x - sin' x)( cscx)] CSC X

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Q: Find the area of the region bounded by the graphs of the given equations. y = 20x, y = x ... The…

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Q: Find the centroid of the solid generated by revolving about the indicated axis the area bounded by…

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Q: Find an equation of the tangent line to the graph of x* + 3xy? + y = 15 at the point (1, 2).

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Q: 14. xdx + sin? () [ydx – xdy] = 0 %3D

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Q: dzy and -in each of the following. Find dx2 x = x= e' cost b. y = e' sint а. y = t-1

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Q: Find the arc length parameter along the curve from the point where t= 0 by evaluating the integral…

A: Given problem:-

Q: se implicit differentiation to find hp without first solving for y. dæ æª + 3æ°y + y² = 15 ,10, dy…

A: Given query is to find the derivative and equation of tangent.