A population starts with 1600 members and increases with a relative growth rate of 17.2% per year. Write a formula that gives the population after t years. P(t) = How large is the population after 5.5 years? (Round your answer to the nearest whole number.)

Q: y = b Retrieved from:basiccalc_initial_release_13june.pdf 1. lim b 2. lim エ→1.2 3. lim b エ→ー1

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Q: 6. Let T: R → R be defined by T((a, b,c)) = (a, a – b,b + c). Determine whether T is a linear transf...

A: 6. T:ℝ3→ℝ3 be defined by Ta,b,c=a, a-b, b+c

Q: Evaluate f tan²xsec*xdx using trigonometric integrals

A: Our Aim is to evaluate the integral given below:-∫tan2 (x) sec4 (x) dx -(i)

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A: Given query is to find the value of x and y^ from the graph.

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Q: The following logistic function models an animal population, measured in thousands, t years after Ja...

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Q: Study the figure below and give the value of x and y", If the least squares equation is y= 18.9476+1...

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Q: Determine the standard form of equation of a hyperbola with vertices at (2,3), (2, – 3) and passing ...

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Q: (y+ /x²ty? )dx- X dy = 0

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Q: For the next six questions, consider the differential equation: y" + 4y = g(x), 9(r) 0 Determine the...

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Q: 32. Find a linear differential operator (of lowest order) that annihilates the given function: f(r) ...

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Q: Solve the following equation; domain 0 sx< 3600; 2 cose+ 1 = 0 %3D 60 120 300 240 O O O

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Q: ese B tane dr fr Osco t tan'o) de =o Xyz le

A: Due to Bartleby guidelines, only 1question can be solved. Please repost the remaining questions to g...

Q: 6. For the function a 10th degree polynomial. a) Up to how many x intercepts can there be? b) Up to ...

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Q: 1. (2x³y² + 4x?y + 2xy² + xy+ + 2y)dx + 2(y³ + x?y + x)dy = 0 %3D

A: note : as per our company guidelines we are supposed to answer only one question. Kindly post other ...

Q: Determine the standard equation of the ellipse that satisfies the given properties: center at the or...

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Q: How to convert a cosecant theta to tangent data

A: sinθ = 1cosecθ  and cosecθ = 1sinθ

Q: Which graph shows the function f (z) = tan z? 2- 0. 2x -1 12 4 3 2 -1 -2 Cunpy

A: Topic:- trigonometry   

Q: Use the appropriate limit laws and theorems to determine the limit of the sequence. an = 51/n (Use s...

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Q: A point (3, - 1) on the terminal side of an angle 0 is given. Find the exact value of csc 0. 2/10 O-...

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Q: If I(theta)=cos^2(1/2theta) what is I’(pi/2)

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Q: х — 3 (x+ 2) (x – 1)²

A: The given integral is; (x-3)/[(x+2)(x-1)2].

Q: 2. Let r+1 I <-1 f(x) = { 2– Vr² + 7 [3r – 4] r 2-1 Determine if lim f(x) exists. r+-1

A: Find left and right hand limit and using L hospital rule. (Indeterminate form)  Since left and right...

Q: Find the Taylor polynomials of orders n = 0,1.2,3, and 4 about x = x9, and then find the nth Taylor ...

A: f(x)= e ax f0(ln 7)= 7a   f'(x) =ea x af'(ln 7)=ea ln 7 = a 7a   f' ' (x) =ea x a2f' '(ln 7) = ea ln...

Q: Use the appropriate limit laws and theorems to determine the limit of the sequence. d, In (n² + 5) –...

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Q: A cylindrical steel storage tank is 15 feet tall and 6 feet in diameter. Calculate the change in vol...

A: Note: As there are two different questions in the picture we will solve the first question by defaul...

Q: Write the equation of a conic given by x2 – 9y2 + 2x- 54y-80=0 in standard form. (x+ 1)² (y+3)? 162 ...

A: The objective is to write the equation of conic in standard form. 

Q: Find dy by implicit differentiation and evaluate it at the given point. dr tan (9x + 5y) = x, (0,0) ...

A: We know that; The chain rule; fgx'=f'gx·g'x The Power law; ddxxn=nxn-1 And ddxtanx=sec2x   Given: ta...

Q: A graphing calculator is recommended. Consider the following. cos(x) = x3 (a) Prove that the equatio...

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Q: xy°dx + (y+1) e "dy= 0

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Q: You go to the doctor and he gives you 17 milligrams of radioactive dye. After 20 minutes, 6.5 millig...

A: Given query is to find the atime taken to reah the radioactive to 2 mg.

Q: Time Velocity (cm/sec) Velocity (cm/sec) Time (sec) (sec) 28 1 30 15 56 25 15 38 10 33 -23 45

A: To find:- The accompanying table shows the velocity of a model train engine moving along a track for...

Q: Find the Maclaurin polynomials of orders n = 0, 1, 2, 3, and 4 and then find the nth Maclaurin polyn...

A: Given

Q: cos 2x 6. 4

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Q: di x-x(t)defined implicik ly by 62X6 12+62VXIn(t)-eE. Also evaluate dx (tx)s(4,4).

A: Given: -x=x(t)  defined implicitly by The equation is, 62+62xln(t)=e62xt To find: - The differentiat...

Q: 10. lim Ve+ 2-2

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Q: Prove the following identities. cos( - ) sin x/2 sin x sec x/2

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Q: 4.) f(x) = (x+1) 5.) y = x²(x - 5)²

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Q: Find the limit of x^x as x approaches 0 from the right.

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Q: For the next three questions, consider the differential equation: y" – 2y/ + y = e* arctan r If the ...

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Q: 7. solve the DE

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Q: Find average rate-2x^2+3x+5. X=-3 to x =9

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Q: Find the slope of the tangent line to the graph x/y=cost at the point (-pi,pi

A: Find your answer below 

Q: sin(2Tx) lim x → 6 x² – 36 -0.3333 T O 0.1667 ↑ O -0.1667 T O 0.3333 T

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Q: Find the critical point(s) of the function. S(x. y) = x³y + 12x? – 8y + 1 (Give your answer as a com...

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Q: Graph the following function. 2x +1 if x4

A: Here, the given function is: f(x)=2x+1 ; if x&lt;0x+1 ; if 0≤x≤42-x4 ; if x&gt;4

Q: Determine the arc length L of the curve defined by the equation y = In(6x) over the interval 1 < x <...

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Q: 13. Find the solution set of e) 2x? – 3x – 4|<5

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

Q: | cot?xcsc?x dx х ах

A: We can find the integral answer as below.