4(2¹ – 9) - O a) The sequence isbounded Ob) The sequence is unbounded an

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A: Note:- These are multiple questions and according to company guideline we can do maximum 1 questions…

Q: a) Determine an equation of the inverse of the function y = 2x² + 5. Sketch the function and it's…

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Q: Determine the area bounded by y²=x+1 and y=1-x

A: Solution of given question is written in below steps.

Q: 1- Find the inverse of Laplace transform of log s²+1 (s-1)²,

A: To find inverse Laplace transform:

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A: As we know that, cosθ=basehypotenusesinθ=perepndicularhypotenusetanθ=perepndicularbase

Q: 1. (D² 2. (D² -3D+2)y=sine* -3D-4)y=16x-50cos2x :

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Q: Evaluate the geometric series of state that 8 ÿ (-9) Σ k=0 k Select the correct choice below and, if…

A: To find out that the given geometric series converges or diverges.

Q: 4. ["s 0 sinx + 2 cos x dx

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Q: Determine the volume of the solid formed by revolving the area bounded by 4y=x³, y=0 and x=2 about…

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Q: Find the curl of the vector field F. F(x, y, z) = (2y - z)i + e²j + xyzk

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Q: is there no numerical answer to this question?

A: Let's evaluate given integral.

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Q: F(s) = 2 (3s-2)(2S-1)(3s+2)

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Q: If the rate of change in the number of cows, W, in a population is proportional to 150 -W(t), where…

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Q: 3) .  A population of deer inside a park has a carrying capacity of 200 and a growth rate of 4%. If…

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Q: A rancher plans to fence-in a rectangular corral adjacent to a river for a herd of cattle. The…

A: We have to find the length of sides and area.

Q: Find the exact sum of the following series O. In 3 2 1 In(3) --- / 2 In ( ²2 ) 32 3 In (²2) - ○…

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Q: -5 -4 -3 -2 15 -30- -45 -60- -75 -90 -105- -120- -135- J 2 For the above quartic polynomial f(x):…

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Q: Find the indefinite integral. (Use C for the constant of integration. Remember to use absolute…

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Q: The equation r(t) = (t + 7) i + (√3t) j+ (3t²) k is the position of a particle in space at time t.…

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Q: dP dt 3) Separate the differential equation, then integrate both sides. Suppose and P(1) = 4. Answer…

A: NOTE: Refresh your page if you can't see any equations. . take integration on both sides

Q: Let R be the region bounded by y=x², x=1, and y = 0. Use the shell method to find the volume of the…

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Q: The circle with center B is a dilation of the circle with center A using scale factor 2. Select all…

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Q: Find the partial derivative for the function f(x,y)=√x+y3 f(xx,y)= f(x,y) = √8x + y² 33x √8x+y³ (y)=…

A: The given function is;  f(x,y)=sqrt(8x+y3).

Q: 1. 2. (D² -3D+2)y=sine-*

A:

Q: Question 3 Given the following, complete the questions below: A= B= 2 a. Perform the transposition…

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: Find the distance between the point P(1, 1, 1) and the surface x² + 2y² + 3x² = 1.

A: Given Point P1, 1, 1 and surface x2+2y2+3z2=1

Q: Outside temperature over a day can be modelled as a sinusoidal function. Suppose you know the…

A: The general equation of function of temperature is given by÷ D=asin[bt-c]+d Now we need all the…

Q: Let x = 6.99999.... (a) Is x 7 X = 7 O x < 7 and x = 7 O It cannot be determined. (b) Sum a…

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Q: -4 -3 -2 M lowest = middle = highest = 2 N H 1 2 For the above rational function f( x ) = 16x 4x² +…

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Q: Let R be the region bounded by the following curves. Use the shell method to find the volume of the…

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Q: If sin a = 0.806 and cos ß = 0.718 with both angles' terminal rays in Quadrant-I, find the…

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Q: A soccer ball is kicked into the air, and its height (h) in feet after t seconds is given by h( t )…

A: A soccer ball is kicked into the air, and its height (h) in feet after t seconds is given by…

Q: 2).  Consider the logistic equation in the form P'(t) = CP − P2. Solve the logistic equation for C =…

A: Given problem:- Consider the logistic equation in the form P'(t) = CP − P2. Solve the logistic…

Q: education. He has found a bank that will pay 9 percent interest compounded continuously. How much…

A: Topic:- algebra

Q: ow do you find the 70th derivative of f(x)=cos(x)

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Q: 24. g(t) = t³ + 4t

A: Solution: g(t)=t3+4t The derivative of g(t) with respect to t is defined as limh→0f(g+h)-f(g)h

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Q: of a sequence and its series. Giver (An) is convergent. } is convergent.

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Q: here are two regions bounded by the line y=x and the curve y=x^3, one in the first quadrant and…

A: Given problem:- There are two regions bounded by the line y=x and the curve y=x^3, one in the first…

Q: Determine whether or not the relation is a function and then give its domain and range in interval…

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Q: Use either integration by substitution or integration by parts as needed to evaluate S³= A B x²+1…

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Q: 4. Determine whether each series is convergent or divergent. If it is convergent, find its sum. 2) Σ…

A: The given series, a) ∑n=1∞3n-12n+1b) ∑n=1∞sin1nc) ∑n=0∞2n+15n

Q: A curve is defined implicitly by the equation ax+by² = p.2 Given that a=27, b=-4 and r=3, find the…

A: Given problem:- A curve is defined implicitly by the equationax+by2 = r2Given that a=27, b=-4 and…

Q: Q5. (a) (i) (b) (c) (ii) Express sin 2x Express cos 2x Show that in terms of in terms of sin x Solve…

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Q: Find the nth term of a sequence whose first several terms are given. 3, 5, 3, 5, 3, 5, ... an =

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Q: lim t→∞ - 4t9 t² - 9t + 5

A: