dy 2y + .2 x´ - 4 (x+2)² x² – 4 dx

Q: Consider the differential equation dy 1 dr? y3 A solution to the above equation is Select one:

A: Given :d2ydx2=1y3  

Q: The region bounded by f(x) = - 1la + 6x + 27, a = 0, and y 0 is rotated about the y-axis. Find %3D %...

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Q: Directions: Write your convincing proof. The function f(x) 2/x takes on the value-2 at x--1 and it t...

A: Application for Intermediate value theorem.

Q: Solve the following DE subject to given conditions, using Separable method. 2. y' (x+2)+4x(y +2y+1)=...

A: Separable differential equation can be written in the form dydx = f(x) g(y). ∫ax+bn dx = 1a.ax+bn+1n...

Q: (2) The number of people in a certain community who contracted a certain disease is modeled by 1000 ...

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Q: 1. Given a > 0 real, evaluate the following limit: V2a³x – x4 – aVa²x lim a – Vax³ Xa ах

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Q: d/dx[(x² + 5)(x³ - 7) = 5x4 -15x² + 14x Select one: O True O False 1 + A)xp/p Select one: O True O F...

A: Explanation of the answer is as follows

Q: Calculate the integral using a hyperbolic substitution. (Express numbers in exact form. Use symbolic...

A: To evaluate the integral.

Q: Use the indicated x-values on the graph of y = f(x) to find the following. с d e f Find intervals wh...

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Q: A cup of coffee is poured, and the temperature is measured t be 120 degrees Fahrenheit. The temperat...

A: Given initial temperature of the coffee cup is 120 F

Q: Let S be the cube with side length 7, faces parallel to the coordinate planes, and centered at the o...

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Q: 00 Let S = an be an infinite series such that SN =5 6. N2 : %3D n=1 10 16 (a) What are the values of...

A: Given, SN=5-6N2

Q: Let f(x) = -a – 5x + 9x + 2. Find the open intervals on which f is concave up (down). Then determine...

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Q: Let f be a differentiable function such that f (3) = 2.345 and f' (x) = ln(x² + 1). What is the valu...

A: solution:-f'(x)=ln(x2+1)f(x)=∫ln(x2+1) dxusing integration by partsf(x)=∫1·ln(x2+1) dx=ln(x2+1)∫1 dx...

Q: The edge of a cube was found to be 50 cm with a possible error of 0.5 cm. I need to calculate the ma...

A: Follow the procedure given below.

Q: Find the derivatives of the following Trigonometric Functions and Inverse Trigonometric Functions:

A: y = ex sin-1xdydx = ex ddx(sin-1x) + sin-1x ddx(ex)        = ex 11-x2 + ex sin-1x 

Q: Assume that a snowball is in the shape of a sphere. If a snowball melts so that its surface area dec...

A: topic - application of derivatives

Q: 3. Determine whether The Mean Value Theorem ca be applied to f(x)= Vx+ 3 on |-3,6|. Find all value o...

A: The given function f(x)=x+3 on [-3,6]

Q: A. Complete the table of values to find the following, if they exist. (1 – 5) 2x+1 lim X2 x-3 X f(x)

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Q: d/dx(3x) = 3 Select one: O True O False d/dx[(x2 + 5x)/(x - 8)] = (x² - 16x + 40)/(x² - 16x +64) Sel...

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Q: Find the maximum or minimum value of the function. f(x) = 3x2 − 6x − 100=   Is this a maximum or ...

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Q: 20 15- 10- 5- 10 15 20 The rate at which people arrive at a theater box office is modeled by the fun...

A: In order to find the number of people entered in the time 0 < t < 20, we need to obtain the ar...

Q: sin2(x) + sin(x) cos2(x) To evaluate the -dx using basic formula of integration (without using subst...

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

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Q: Calculate the integral. (Express numbers in exact form. Use symbolic notation and fractions where ne...

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Q: Section 2.9 p. 252/254 # 398 For the following exercises, find the antiderivatives for the given fun...

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Q: sin ()-/9 – a² – a V9 - ? +C 81 O sin () -av9- a + V9 – a² + C 0-sin-1 (즐) - 응2V9-2 +23v9-27 + C ○ 뽑...

A: Given: The integral is ∫ x29-x2 dx

Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consi...

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Q: n-1 9. Given the series - 8 n=1 Does this series converge or diverge? O converges O diverges If the ...

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Q: Use a calculator to evaluate the trigonometric function. Round your answer to four decimal places. (...

A: Given problem:- sec(195°) Use a calculator to evaluate the trigonometric function. Round your answer...

Q: day tidket for a for children as least G than 13 years old, A day tickei for Students at least 3 tha...

A: f(x) is the cost of ticket (in dollar) and x is the age of children (in years). x is the input and f...

Q: S 3x f"(x) dx 48 42 36 NONE OF THE CHOICES о

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Q: Let f be the function given by f (x) = - t+ 6) dt. On which of the following intervals is f increasi...

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Q: The solution to the differential equation dy t - 1 dt 2y is IS

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Q: dz du Evaluate the integral Jo 5 the concept J + c. 2zv9z2-4 using uvu?-a? arcsec a a

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Q: Solve the differential equation by variation of parameters, subject to the initial conditions y(0) =...

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Q: 4) x*d'y dx? 3x dy + dx when x=/ , dx

A: Given differential equation is x2d2ydx2-3xdydx+4y=0and given conditions are y1=0 and y'1=0

Q: Vx - 9 lim X→81 X – 81

A:

Q: d/dx[(x2 + 5)(x³ - 7) = 5x4 -15x2 + 14x Select one: O True O False 1 1 d/dx(I + Select one: O True O...

A: See the details solution in below

Q: Find the quotient and remainder +3x-215 divided by ナセーッメ When x+3. you may use 2en how elther Poiyno...

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Q: Use the Limit Comparison Test for 7n? + 24 an = E п(п — 18)(п — 7) n=20 n=20 to prove convergence or...

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Q: र्® 5x

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Q: Name and graph the following quadratic surface. 9x2 + 4z2 – 36y = 0

A: For (b) Sketch of z=9-x2-y2: The graph is a paraboloid.

Q: d/dx(x2 + 3x + 5) = 2x + 3 %3D Select one: O True O False

A: As per company guidelines we can solve first question. I hope that the given solution will help you....

Q: Use the given equation, which expresses price p as a function of demand x, to find a function f(p) t...

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Q: (e* + y)dx + ( 2+ x + ye )dy =0

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Q: Use the price-demand equation below to determine whether demand is elastic, is inelastic, or has uni...

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Q: 35x − 6 = 81 Solving for x. Exponential Functions

A: Given: - The exponential function is, 35x-6=81 To solve: - The solution of the given exponential fun...

Q: The average value of a function f over the interval [-2, 3] is -6, and the average value of f over t...

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Q: e a) y"+ by 19y x² + 1

A: