An ice cream cone has height 4 in. and radius 1 in. If the cone is 0.1 in. thick, what is the difference between the volume of the cone, including the shell, and the volume of the ice cream you can fit inside the shell? For the following exercises, confirm the approximations by using the linear approximation at x = 0.

Q: The atmospheric pressure at altitude h (kilometers) for 11 ≤ h ≤ 25 is approximately…

A: Given: P(h)=128e-0.157h

Q: Z is the midpoint of VY and X is the midpoint of WY. If VW = s + 47 and XZ = s, what is the value of…

A: Given,          Z is the midpoint of VY¯ and X is the midpoint of WY¯ .           VW=s+47 and XZ=x…

Q: According to B. F. Visser, the velocity v of air in the trachea during a cough is related to the…

A:

Q: spherical snowball melts so that its surface area decreases at a rate of 6pi  cm2/min, find the rate…

A: To find the rate at which the diameter d decreases when the diameter is 5 cm.

Q: Assume that it costs a company approximately C(r) =35,226+346r+0.03,2 to manufacture r gaming…

A:

Q: 1. Using Linear Approximation, determine the approximate value of the following: Final answers must…

A: Consider the given expression, e2.2; where e2=7.4. Let us consider the function fx=ex and use the…

Q: the following model is .8 Y; = B2 ex2 + ei is Simple and linear in parameter Multiple and linear in…

A: In the given equation there is one dependent and one independent variable. Hence the equation is…

Q: Q2 (a) A miniature quadcopter flies in a curve line from one point to another. Suppose that the path…

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Q: Suppose z varies directly with y and directly with the cube of x. If z = 2304 when x = 4 and y = 9,…

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Q: ppose that a particle moves along a straight line with velocity v(t) = 14 – 6t, where 0 <t < 2 (in…

A: To solve the following problem on distance and displacement

Q: Q 04: Consider a rectangular garden whose area is (5R + 230) square meters. On one side of the…

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Q: Nindly answe is as soon as possibie. very urgent. ThankS (a) Solve it possible by method of…

A: Since you asked two separate questions so as per our guideline we solve only first question.…

Q: The r.m.s. value of f(t) = t² across [1,4] is %3D

A:

Q: The theory of reala tivity pre dicts that an object'whose is at rest will appear heavier when mowina…

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Q: Suppose a person wants to travel D miles at a constant speed of (60 + x) mi/hr, where x could be…

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Q: 2. b. Then, use the linearization to approximate the number V8.7. Be sure to show work, and clearly…

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Q: Given [[(a² – x² – y² ) dxdy over the positive quadrant of the circle x² +y? = a² . Find the value…

A: We are given the Integration: ∫rs∫pqa2-x2-y212dx dy Over the positive quadrant of circle: x2+y2=a2…

Q: MY NOTES In the aftermath of a car accident, it is concluded that one driver slowed to a halt in 19…

A: Given Time t=19sec Distance=1700ft Speed=60mph

Q: Suppose the speed of a car approaching a stop sign is given by v(t) = (t– 11), for 0sts 11, where t…

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Q: V = 4/3 πr 3, where r is the radius, in centimeters. By approximately how much does the volume of a…

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Q: Evaluate the approximate value of f (2æ² + 2) dæ at n = 3. Solve also for TV and percentage of…

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Q: Q1: The tank shown in the figure below is filled initially with water: a- Find the depth of water at…

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Q: For a given table 4 y 5 9 16 23 d’y Find the value of at x = 4 using forward difference formula. dx…

A: The derivative at a point can be calculated using numerical differentiation. The approximate value…

Q: Q1: A conical tank with 3 m height, and 1.2 m radius initially is filled with water. If the water…

A: Given: Let H and R be the height and radius of the conical tank respectively. H=3 m R=1.2 m Let V be…

Q: EX. Use Euler's method (modified) to approx; mad e y' = x+y for yC1) = 1; h=o.1,15X<2 心ふ 14 withe…

A: We have to use modified Euler method to find solution.

Q: Using linear approximation, (8.01)^23 is approximately

A:

Q: ... The bowl of Glass 2 has a cylindrical top and a hemispherical base The bowl of Glass 3 goes down…

A: Topic- volume

Q: 2. A ball 6 inches in diameter is to be covered by a rubber material which is in-thick. Using…

A: Given, A ball 6 inches in diameter is to be covered by a rubber material which is 3/16 in thick.…

Q: 5) 120° 6+21x K 60°

A: We know that the  (6+21x) = 1/2 ( 120+60)

Q: The flow rate of water through a cylindrical pipe is given by Q = πr²v, where r is the radius of the…

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Q: If  z = 3x2 + y2  and  (x, y)  changes from  (1, 3)  to  (0.95, 2.9),  compare the values of Δz…

A:

Q: Find the folution of di fteven tial equation Ufing the variation of parame terg method y - Ily' =…

A: We are given the following differential equation.      y'''-11y'=sec t,  -π2&lt;t&lt;π2 As per the…

Q: Use an appropriate local linear approximation to estimate the value of the given quantity. 35.89 2

A: find the value of 35.89 using linear approximation Linear approximation of f at a is  Lx=fa+f'ax-a

Q: 4. In a strange alternate universe, pressure P, volume V, and temperature T are linked by the…

A: This question is about application of differential equations

Q: Approximate the distance covered by a rocket from t= 6 to t=25 as given by 30 | 2000ln| 140000 X =…

A: Since you have asked multiple questions, we can solve first question for you. If you want other…

Q: the following model is . 24 Y = B2 ex2 + ei is A) Simple and linear in parameter and in variable…

A:

Q: C = C(x) = (Hint: V = a²y) C' (x) = Solving C' = 0 yields that value of x that minimizes the cost.…

A:

Q: To estimate the speed when t = 1, we need to estimate vave = 51.28 – 1.86h whe 1 |× · This yields |×…

A:

Q: The Darcy–Weisbach equation states that the power-generating capacity in a hydroelectric system that…

A:

Q: The marginal cost (in dollars per square foot) of installing x square feet of kitchen countertop is…

A: Here we will find asked quantities,

Q: If we use Trapezoidal rule to approximate * f(x)dx then find the value of x2, where n= 6 Select one:…

A: The Trapezoidal rule formula is ∫abf(x)dx ≅ h2f(x0)+ f(xn) + 2( f(x1)+f(x2) + .. f(xn-1)) h = b-an =…

Q: The velocity V of sound in air at temperature T is given by V = 20.04 √T, where T is measured in…

A:

Q: Find mZG. E 5 F 15 mZG Submit

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Q: If x? + y² = 4 which has domain Df=[-2,2] and range Rf=[0,2]. Shrink and stretch it vertically by 3…

A:

Q: Suppose the speed of a car approaching a stop sign is given by v(t) (t-19)2, for 0sts 19, where t is…

A: Given, v(t) = (t - 19)2 where t is measured in seconds.Then to find v’(18) , first differentiate…

Q: A model for the surface area of some solid object is given by S = 0.171w0.685 h0.459, where w is the…

A: Given :  The surface area of some solid object is given by  S = 0.171 ω0.683 h0.439 , where ω is the…

Q: The velocity v of a falling parachutist is given by v- gm/c (1 - o^-(c/m)t) where g- 9.8 m/s^2. For…

A: “Since you have asked multiple questions, we will solve the first question for you.If you want any…

Q: 4. In a strange alternate universe, pressure P, volume V, and temperature T are linked by the…

A: This question is about application of derivative and differential equation

Q: A particle, whose position is measured in centimeters, is moving along the x -axis. For 0 <t5…

A: Given:v(t) = -2 + t2+3t65-t3                                      (1)a(t) = v'(t) OR d…