1. Use linear approximation or differentials (but not both) to estimate: V7.98 Is your answer an underestimate or an overestimate?

Q: QUESTION 2 Use differentials to estimate v8.99 + (8.99)² correct to two decimal places.

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Q: 3.u 3.Use differentials to approximate the value of v99.4

A: In this question we have to find the approximation value of 99.4

Q: Find the differential dy of the given function.     y = 3x2/3

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Q: (1) Where on the line r = ay does the function f(x, y) = (r - a)? + (y - 2)² attain its smallest…

A: We need to calculate minimum of f(x,y)=(x-a)2+(y-2)2.........(1) on the line x=ay...............(2)…

Q: Determine whether the following statement is true or false, and explain why.  When the change in x…

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Q: Answer part D.

A: As we consider the approximation of function have already done in  above parts,(D) When change in x…

Q: Please answers part c, d

A: As per norms, the first three questions are answered. The questions concern the linear approximation…

Q: Which of the following is the estimated value for In(1,07) by using differentials (or a linear…

A: f(x) = f(a)+f'(a)(x - a) is the formula to approximate the function. In the given question, f(x)=ln…

Q: A firm has the Cobb-Douglas production function y = 10x}^^x!7²x}^. Currently, it is using the input…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Use differentials to approximate V42. b Express your answer as a ±- where a is the nearest integer.…

A: Use differential to find the (42)1/3

Q: Find the differential dy of the given function. y = 3x2 − 4

A: Given function is Differentiating with respect to x, we get Therefore , differential dy is

Q: Use differentials (that is, linear approximation) to approximate: 3.9 -e 0.05 483 O A. 250 193 О В.…

A: We Use the differential to find out the result.

Q: 20.03 6. Use differentials (that is, linear approximation) to approximate: V3.9

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Q: Evaluate the second derivative of e22.1.png acos(b/x) f(x) x2 if a = 323 and b = 0.5 at x = 3 using…

A: Given function is f(x)=323cos0.5xx2 Step value is ∆x=0.1

Q: Show that the displacement after time t for motion in a straight line with constant acceleration a,…

A: Given Data: The constant acceleration is: a The initial velocity is: v0 The initial displacement is:…

Q: Find the value differential equ of the arbitrary and the value c y'+4

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Q: This is a linear DE. If arranged to its form, what is the integrating factor? * xdy ニ

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Q: A jar contains 100 mL of a certain substance which, when heated to tt degrees Celsius contains E(t)…

A: Given: Et=2.3t2-4.5δt=0.2t=60 To determine: The value of dEdt and the possible error in the…

Q: 1. Find the total differential of the ff. at (1, -2).

A: The given function is f(x,y)=xy2-3y+2

Q: If s = f(t) denotes the position of a particle at time t, the derivative f'(c) is the of the…

A: Solution:Given      If s=f(t) denotes the position of a particle at time t, the derivative f'(c) is…

Q: 1. Find the total differential dw. 2. w = re2u +e-V

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Q: If y approximate the differential dy when x changes from 64 to 64.07

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Q: 15. Use differentials to approximate V26.

A: To approximate263

Q: 1. (a). Find the linear approximation to f(x) = VT at r = 81, (b). use it to approximate V85. (c).…

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Q: Use differentials to find the approximate value of y: (2x – 1)* when x = 0.98. O (E) None of the…

A: Given :f(x)=2x-14x=0.98

Q: Evaluate the second derivative of e22.1.png а f(x) acos(b/x) x2 if a = 345 and b = 0.6 at x = 5…

A: Given: Let us consider the given, fx=acosbxx2 where a=345 & b=0.6 at x=5 using BDA with ∆x=0.06.…

Q: Find the derivative of the function. s=? In |t| ds dt II

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Q: S(«,9) =7+3y Also, find the total differential of the function.

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Q: Find the degree and state whether each of the following differential enuations is linear, if it is…

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Q: Find the differential dy of the given function. y = √√√√9-x²

A: Given y=9-x2 we need to find dy

Q: For what function P is the integrating factor α(x) equal to ex?

A: Here the given integrating factor

Q: The total time required to bake a loaf of bread, B, is a function of the temperature of the oven, T,…

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Q: 5. Use differentials to approximate the value of V(3.01)² + 2(0.99) – 3 in four decimal places.

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Q: Birinci mertebeden geri yön sayısai Ay O a) y': h Vy O B) y'= O NS) Vy y'= h

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Q: ) L(3.98) where L(x) is the linearization of y = √√x +3 at x = 1 (tangent line approximation)

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Q: According to one model that attempts to account for air resistance, the distance s(t)(in meters)…

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Q: A whole life policy is issued to (30) with Z=10 for T20. If the force of interest and mortality is…

A: We have to find actuarial present value of the benefit for this policy

Q: The differential operator D4 annihilates the functions

A: we have to find the functions which are annihilated by the differential operator D4…

Q: 15. Find the equation of the tangent line to the curve at point (0, In 2). * y = In(e* + e4r) 2y +…

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Q: 5) Approximate the values by using differentials: a. V99 b. e0.1 c. 2.015

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Q: The differential equation corresponds to Newton's law of cooling is dT а. = k(T – M) dt O b. dT =…

A: Newton's law of cooling stats that cooling rate of a heated body is directly proportional to…

Q: To use differentials to approximate V8. You would use x = and dx

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Q: A man 1.8 m. tall is walking at the rate of 1.2 m/s away from a lamp post 6.7 m high. At what rate…

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Q: Which of the following is the estimated value for In(1,07) by using differentials (or a linear…

A: Given function is, ln1.07

Q: (2) Find the derivative of the following: In xy = e*+y 4. %3D y = esint (In t² + 1) 5. y = In e 1+e…

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Q: Q 10 Show that for motion in a straight line with constant acceleration a, initial velocity vo , and…

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Q: Suppose that a change in biomass B(t) at time t during the interval [0,5] follows the dB equation…

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Q: f(1, у) — Зх + 2у;

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Q: Approximate v10 using a linear approximation. Round to 5 decimal places. つ

A: Here is the solution

Q: A car drives down a road in such a way that its velocity (in m/s) at time t (seconds) is v(t) =…

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