The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = - 16t +219t+ 25.

Q: Q1) Graph the following functions and determine (domain & rang): (a) y= 2sin2x, (b) y=1 + 4 + x (c) ...

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Q: Find the average value of the function f(x) = 3x2 on the interval 2 <x < 6

A: Given,            The function is fx=3x2 and the interval is 2≤x≤6.To find : The average value of th...

Q: Given the taylor series at 0 for 1/(1-x2) has an an of x2n: Find the Interval of convergence of thi...

A: use the ratio test for interval of convergence of series .

Q: 3. The parametric equations r(t) = cos(t – t³),y(t) = sin(t – t°), t € R describe the position of a ...

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Q: Use the properties of logarithms to expand the following expression. 6(4+x)* log Your answer should ...

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Q: It is determined that the temperature (in degrees Fahrenheit) on a particular summer day between 9:0...

A: The temperature on a particular summer day between 9:00 am and 10:00 pm is modeled by the following ...

Q: dy cos(x + y), when x = 0,y = %3D dx 4

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Q: A company plans to manufacture a rectangular box with a square base, an open top, and a volume of 45...

A: Determine the dimensions of the box that will minimize the cost of manufacturing it also find the mi...

Q: a) lim f(x) y b) lim f(x) 8 c) lim f(x) d) lim f(x) e) lim f(x) 2 ) lim f(x) -10 -8 -6 -2 0 2 -2 00 ...

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Q: Work of 3 Joules is done in stretching a spring from its natural length to 14 cm beyond its natural ...

A: Let's find. 

Q: find I= x* ē dx る -2X e

A: To evaluate: I=∫x32e-2xdx...(1)

Q: Using integration by parts, the integral Sx sec(2x) tan(2x) dx is equal to: Hsec(2) -inise(20) + tan...

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Q: 1. 6(x) = = e¯sin for y' + y cos x = 0 %3D

A: As per Bartleby guideline, we have answered only the first question. If you want to get the solution...

Q: Evaluate by any applicable method. dx 0 x4+1 None of the choices. Please refer to my solution. O tan...

A: We have to find solution of given integral.      

Q: If an arrow is shot straight upward on the moon with a velocity of 69 m/s, its height (in meters) af...

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Q: You record the temperature every hour from midnight until 8:00a.m. You see that the temperatures (in...

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Q: 1. Use the function g(x) a. Use a calculator to graph g(x). Make sure you have a window that is larg...

A: The given function,       gx=2x2-4xx2-9

Q: siven X(z) = 2+ 6z-1 find x(1) of x[n] 4 2z-2+13z-3 O 1 O 0.5 O-1 O 1.5

A: In this question we have to find the value of x(1).

Q: (2a² + y)dæ + (x²y – x)dy = 0

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Q: 5. Given a curve in the following parametric equation: x = 3- 2 sint, y = 4+ 2cos t, 0<ts Then: a. D...

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Q: What is the Maclaurin series expansion of f(x) = ln(3-2x)? Find its interval of convergence. Approxi...

A: The Maclaurin series expansion of ln (1-x) is: f(x)=-x-x22-x33-x44-...          ...(1) And is conver...

Q: * = cos(x + y), when x = 0,y = %3D dx

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Q: A 12-meter rope is broken in half so that x meters make a circle and the remainder forms an equilate...

A: Topic = Algebra

Q: y = f(x) 2r 2r cross-section y = g(x) base view The base of a certain solid is an equilateral triang...

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Q: (w - 3x +3)dw + ( 3w + x + 9)dx=0

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Q: Activity 2. Tell My Equivalent Direction: Convert the following measurement from one unit to anothe ...

A: Note: -  Since you have asked multiple questions, we will solve the first question for you. If you w...

Q: (22 +y +1)dz - (zy+y)dy = 0 %3D

A: Follow the procedure given below.

Q: Use the Ratio Test to determine the convergence or divergence of the series. If the Ratio Test is in...

A: First I have written Ratio test, then use it to the given series and find that series CONVERGES.

Q: Choose the Correct answer for the following: 3 1- 9 for y= sec x is equal to: dx 3 a) sec x tan x b)...

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Q: If z1 = -4 + j5, z2 = -3 - j2, and Z3 = 2 - j3, what is the simplified form of z – 2 + z ? %3D

A: Solution is given below:

Q: visitor is staying in a tent that is 10 miles west of the closest point on a shoreline to a coral re...

A: Given query is to find the respective distance of running and swimming to minimize the time.

Q: A 4-vector has components V#= (1,3, 5, 2) in the coordinate Cartesian basis at some point p in space...

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Q: Given R(t) = 4 cos ti + (1+ 3cost)j + 5sintk. Find || K(t) || at t=. O 2/5 O 1/5 O 2 O none of the a...

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Q: Find the surface area generated by revolving about the x-axis the curve y = 2(15-x)^1/2, from x = 5....

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Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

A: Solution is written in below steps.

Q: (w - 3x+ 3) dw+ (3w +x + 9) dx= 0

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Q: Use the properties of logarithms to expand log Each logarithm should involve only one variable and s...

A: Given data÷

Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges. I...

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Q: A university system has a total of 40 new computers to distribute to each of its three campuses. Aft...

A: Option a - Alabama paradox will occur and campus A will lose a computer

Q: Given R(t) =4 cos ti + (1+ 3cost)j + 5sintk. Find B(t)

A: This is a problem of vector. By using concept of unit tangent vector we will solve B(t) vector at t=...

Q: EX Use Taylor/Maclaucin's Series to.solve the following Ivps. (2) xycx)-xy)+ yo). -o. y(0)= 2 ýlo) -...

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Q: A rectangle of maximum perimeter is to be inscribed in the ellipse x^2/20^2 +y^2/11^2=1. The rectang...

A: Explained below

Q: F ind @ Dlim Ix16/ lim 1-cos 3x 9. 4-X lim (1-secx) lim CosO 9= (9 -) 2.

A: Note :- there is an error in part (a) in this part value of limit is wrong. So i am solving remainin...

Q: Arctan(x) ln(x^3 + 2) find the derivative    F(x) = arccos(3x^2) find the derivative

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Q: A rectangular box is going to be made with a volume of 274 cm3. The base of the box will be a square...

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Q: Zen Furniture received the sofa set that was bought at a wholesale price of PhP 11,000. The manager,...

A: Given: - Zen Furniture received the sofa set that was bought at a wholesale price of PhP 11,000. The...

Q: +oo 1

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Q: What is the value of C when x=y=0? y = 2xy – x O 1 O -1/2 О 12 O None of the choices

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Q: Show that each series below is convergent using a test of your choosing. Besure you clearly state wh...

A: As per the guidelines I am supposed to do the first question among multiple question. So here I am d...

Q: Find the radius of convergence and the interval of convergence. Σ k + 6 k=0 Radius of convergence: I...

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