ind the volume of the solid generated by revolving the region in the first quadrant bounded by the coordinate axes, the curve y = e*, and the line x= In 7 about the line x = In 7.

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A: 1) f-1(- 4) = - 1

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A: Given query is to eveluate the integral.

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A: Given the query is to find the polynomial from the data provided.

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A: Given the query is to find the limit of the expression.

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A: Given query is to find the average value of the function for the interval [-2,3]

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A:

Q: Straight lines with slope twice the x-intercept.

A: Let us assume x-intercept is a. That is, x = a when y  =0. So,  slope  =2a. Let us assume that the e...

Q: dp The logistic equation for the population (in thousands) of a certain species is given by = 9p - 4...

A: dpdt=9p-4p2To Find: a. Sketch the direction field.b.If the initial population is 2900 (p=2.9), what ...

Q: 4. a. If 3 - 23 = d and 53 - 3ỷ = b, express the vectors i and y in terms of %3D a and b. b. Solve f...

A: a) we have to express x and y in the form of a and b  b) find the value of a,b, c. 

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A: We can solve the given differential equation by using the variable separable method.

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A: Here we use the trigonometric subsitution method to solve the given Integral.

Q: 1. a. If 37-2ỷ = ở and 5x - 33 = b, express the vectors and y in terms of a and b. %3D %3D

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Q: tan x- 2x°y = c 3

A:

Q: If T is the point at a distance T from P(1, 0) on the unit circle with its center at (0, 0), in what...

A: T is the point at the distance of 5π4 in the unit circle.To find the point.

Q: Using the definition of the derivative, find f'(x). Then find f'(1), f'(2), and f'(3) when the deriv...

A: f'(x)=limh→0f(x+h)-f(x)hf'(x)=limh→0-(x+h)2+4(x+h)-2-(-x2+4x-2)hf'(x)=limh→0-(x2+h2+2xh)+4(x+h)-2-(-...

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A:

Q: 1 2х + 5

A: NOTE: Refresh your page if you can't see any equations. . ..............(1) substitute  take deriva...

Q: Find (f-1)'(a). f(x) = 3x³ + 2 sin x + 3 cos x, a = 3 (f-1)'(a) = Need Help? Read It

A: Given:- f(x) =3x3+2 sin(x) +3cos(x)  To find:- (f-1)'(a) 

Q: Compute the derivative of f(1) = In(x In(x² In(r³))).

A: The given function f(x)=lnx lnx2 lnx3

Q: Which of the following graphs represents y = 3sin(2x)? /2 3n/2 2x 32 O A O B y y MAP /2 72 3x 2 -1 3...

A: Solving the problem by finding the correct graph.

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A: Suppose the origin matrix be A to multiply it with B to get the new vector-matrix C. That is BA=C

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A:

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Q: 25 Evaluate the integral: a +9 (A) Which trig substitution is correct for this integral? x = 3 tan(0...

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Q: Solve the following problem on separate paper being sure to show all supporting work. Answer any "in...

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Q: Logarithms as anti-derivatives. 4 ¤(In z)2 Hint: Use the natural log function and substitution.

A:

Q: Approximate V(2.03)² + (0.8)² + (2.1)² using a linear approximation.?

A:

Q: The displacement (in me line is given by the equa measured in seconds. Fi t = a, t = 1, t = 2, and

A: given s = 1t2velocity of the particle is given by v(t) = dsdt

Q: 6. a. Show that the vector á of b = (3, 1, 4) and ở = (1, 2, –3). (1, 12, –29) can be written as a l...

A: We have to write the vector in the linear combination of two vectors 

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A:

Q: The quadratic approximation for a function f(x) at a=2 is given by q(x) = 16+ 32(x – 2) +24(x – 2)² ...

A: Given that: q(x)=16+32(x-2)+24(x-2)2

Q: 11) Find the slope of the tangent lines on the curve y = 6x³ + 24x² – 39x – 43 at points .- ) 478 (-...

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

Q: A tank contains 60 kg of salt and 1000 L of water. A solution of concentration .03 kg of salt per l...

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Q: 1 1 39. de cos 02

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Q: Determine whether the equation is exact. If it is, then solve it. (3x'y +2 ) dx+ (x-3) dy D0

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Q: Solve the equation for 0 <0 < 2n cos? 0 – sin? 0 = -2 – 3 cos 0 |

A: Topic = Trigonometry

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A:

Q: Evaluate the integral. In 2 2 e sinh 0 d0 - In 10

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Q: State form usg an appiopuate suusutuuo. Example 7 Example 8 Find the integral Find the integral Vī –...

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Q: S from a = to b = = %3D sin I O In sin () + In sin() O cot -cot 플 | 4 2 O In (sin )- In(sin ) O none...

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Q: Sketch one possible graph of a function f(x) defined on R that satisfies all the listed conditions. ...

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Q: dy _ (y² +4)ln x 5. х. dx In(y + 4)"

A: Find the general solution

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A:

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A:

Q: 6. a. Show that the vector à = (1, 12, –29) can be written as a linear combination of b = (3, 1, 4) ...

A: Here we have to show that the vector a=(1,12,-29) can be written as a linear combination of b=(3,1,4...

Q: S S( 3x² +x³y)dxdy

A: Evaluate ∫13∫023x2+x3ydxdy=?

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