Find the increase in the volume of a spherical balloon when its radius is increased from 2.5 inches to 3 inches. * 2 points t in3 a ina 6t in3 O Option 4 O Option 3 91 n in3 n in? 91 It in3

Q: Stadium has 52,000 seats. Seats so for $28 in Section A, $24 in section B, and $20 in section C. The...

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Q: y = tx2 + tx dy Find dx dy dx + 2tx * dy Find dt dy dt II

A: Given that y=tx2+t4x We have to find dydx  and dydt dydx is the derivative of y with respect to x dy...

Q: (a) If G(x) = 5x2 - x³, find G'(a) and use it to find equations of the tangent lines to the curve y ...

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Q: (3) A wire 10 cm long is cut into two pieces, one of length x and the other of length 10 - x. Each i...

A: Length of wire = 10 cm

Q: The hourly operating cost of a plane which seats up to 405 passengers is estimated to be $5,247. If ...

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Q: Answer C/DC a. lim f(x) X-2 b. lim f(x) c. lim f(x) -3 -2 -1 -1 X--2 d. lim f(x) x-5 -2 -3 e. lim f(...

A: follow next step

Q: Evaluate the following indefinite integral. dt = +C

A: topic - indefinite integral

Q: Which among the following illustrates the limit of an identity function? O lim z = - 1 lim a = 1 I-1...

A: Given that: Limits of an identity function

Q: Consider the function f(x) = Complete the table below and sketch its graph. x 2 |-1 |-0.5 -0.1 F(x) ...

A: Given Data: fx=x+1x2+x

Q: Use the limit definition of the derivative to find the instantaneous rate of change of f(x)=√8x+9 at...

A: Here we have to find the instantaneous rate of change of f(x) = √8x+9 at x=1.

Q: 1. lim f(x) : = -1 and f(1)DNE 2. lim f(x): = 1 and f(0) = -3 3. lim f(x) = -2, X →2- lim f(x) x → 2...

A: We have to graph the function asper the given limits.

Q: Consider the following function. f(x) = Vx; x = 4 (a) Use any method to estimate the slope of the ta...

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Q: at x = 1 and f(1) = 4 at x = 2 andf(2) = 3 10. There is a jump discontinuity 9. There is an infinite...

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Q: Suppose you solved a second-order equation by rewriting it as a system and found two scalar solution...

A: Given:     y = e4x      z = e5x   

Q: A cup of hot coffee is placed in a cold room.  The temperature (in degrees Fahrenheit) of the coffee...

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Q: 27 = %3D 2

A: This is decimal to binary conversion.We will find the given number from base 10 to base 2.Below find...

Q: Calculate the Taylor polynomials T, and T3 centered at x = a for the function f(x) = 19 1n(x + 1), a...

A: Taylor series of function fx at a is defined as:       fx=fa+f'a1!x-a+f''a2!x-a2+f'''a3!x-a3+…=0+ddx...

Q: Compute the surface area of revolution about the x-axis over the interval [0, 1] for y = e-9x. (Use ...

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Q: Solve the following differential equations. Indicate the (Differential Equations) method/s used at t...

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Q: a manufacturer finds that the revenue generated by selling x units of a certain commodity is given b...

A: Follow the procedure given below.

Q: Given f(x)=−2x^2+4x+13, find f′(−4) using the definition of a derivative.

A: f'(a) = limh→0 f(a+h)-f(a)h.

Q: Use the Intermediate Value Theorem to show that there is a root of the given equation in the specifi...

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Q: dt 4е-t — et

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Q: C. Find the slope and the equation of the tangent line to the curve 1) у 3 2x? - Зх + 1 at (-1,6) 2....

A: Given that: 1. y=2x2-3x+1      at (-1, 6)2. y=x2+x+1           at (-2, 3)3. y=3x2-x+1      at (1, 3)...

Q: A rectangle is growing such that the length of a rectangle is 5t + 4 and its height is t, where t is...

A: Given:- A rectangle is growing such that the length of a rectangle is 5t + 4 and its height is t4 , ...

Q: Use the logarithm identities to obtain the missing quantity. 2 log,(p) – 4 log,9) – 3 log,(r) = log,

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Q: Let F(x) = f(r°) and G(r) = (f(x))° . You also know that a = 12, f(a) = 2, ƒ'(a) = 15, f'(aº) = 5 Th...

A: We know that; The Power law: ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x   Given: Fx=fx9 ; Gx=fx9a8=12...

Q: Roughly, speaking, we can use probability density functions to model the likelihood of an event occu...

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Q: Consider the following. Function Point f(x) = arcsin 2x (a) Find an equation of the tangent line to ...

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Q: f(x) = -3x³ + 8x – 5

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Q: a(t)=40t^3-10 Find the acceleration when the velocity is 0

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Q: 3) The solid S obtained by rotating the region below the graph of y = x about the x-axis for 1 < x <...

A: Given:     y = 1/x    Limit: 1 to infinity 

Q: f(r) = 4² and g(x) = 3². What is f'(2) = What is g'(2) = Which has a higher rate of change at r = 2?...

A: Given that: f(x)=4x and g(x)=3x

Q: Solve for the differential equation: x (y -1) dx + (x+1) dy = 0. If y = 2 when x = 1, determine y wh...

A: To solve the differential equation. 

Q: Determine the rate at which the height of the pile is increasing at the exact moment the height is 2...

A: solution

Q: 2. Solve each of the following using graphing calculator for 0Sx< 2n. Round to two decimal places. F...

A: Topic:- trigonometry

Q: Use the Trapezoidal Rule to approximate the given integral with n = 8. (Find T8.) Round your answers...

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Q: Let f(x)= -6x^4+8x^3+72x^2 a) f has a relative minimum at x= b) f has an inflection point at x= c...

A: Given; Let f(x)= -6x4 +8x4 +72x2   a) f has a relative minimum at x=  

Q: Solve the equation on the interval 0 s 0 < 2. cos2 e-1 0 COS 1.

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Q: Directions: Use the reference angle and appropriate sign to find the exact value of each expression....

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the quest...

Q: Q1. x= [5, -3, –1, 2]" is a 4-dimensional vector. Calculate the following values: 1. the squared l2-...

A: Given 4-D vector: x=[5,-3,-1,2]T We have to find the Norms of the vector. Norm is the magnitude of t...

Q: Find values of C1 and C2 so that the given functions will satisfy the prescribed initial conditions ...

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Q: dx 9х2 — 12х — 5 9x2

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Q: Ecology Increasing numbers of manatees have tbeen killed by boats off a state's coast. The following...

A: Solved below

Q: Compute f '(a) algebraically for the given value of a. HINT [See Example 1.] f(x) = 2x2 + x; a = -8 ...

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Q: Problem 1: (1+ cos x) y' sin æ (sin r + sin x cos x – y)

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Q: Suppose we need to find an equation of the plane that passes through (1, 2, -2) that contains the li...

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Q: If f(x) = e*g(x), where g(0) = 1 and g'(0) = 4, find f '(0). %3D %3D

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Q: Given f(x)=−3x^2−x+15, find f′(−3) using the definition of a derivative

A: We have given a function f(x) First we find f'(x) by using the definition of derivatives.

Q: Find the arc length of y = (x + 4)° + (x + 4) for 1 < x < 2. Give your answer to three decimal place...

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