27. tan 2° Answer Answer T/90 0.0349

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A: Derivative function always gives the rate of change.

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

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Q: Use differentials to find the value of  GIve anser to two decimal places.

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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: Find the differential of the function. y = theta3 sin(9theta)   dy=?

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Q: Differentiate  G(t)= Sinh(In t) G'(t)=?

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Q: Please answers part c, d

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

Q: write a differential formula that estimates the given change in volume or surface area. The change…

A: The volume of a right circular cylinder is,

Q: Write a differential formula that estimates the change in the surface area S= 6x of a cube when the…

A: Given that surface area of cube s=6x2and side length change from x0 to x0+dxsolution:x=x0  and…

Q: A particle is moving along the x-axis according to s(t) = 1+ sin(t) where t is in seconds, t ≥ 0,…

A: Introduction: In calculus, a function's derivative measures how sensitively its output value changes…

Q: Let y = x sin(2x). (a) How fast is y changing at x = t? (b) Find an equation of the tangent line to…

A: Given y=x sin(2x)

Q: Consider the equation f(x) = x* + 2x – e* – 3, approximate the root with accuracy up to 2…

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Q: Let the velocity of a particle be given by v(t) = –sin(t). What is the displacement of the particle…

A: We need to find displacement and total distance.

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: Use an appropriate local linear approximation to estimate the value of the given quantity. Round…

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Q: An object is moving in horizontal direction according to the equation.)--s_sr2or41 At what time…

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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 derivative. sin t du 4-u? di cost OA. 4- sin?1 O B. cos t(4- sin ?1) OC. 4- sint - cost O…

A: We need to find the integration of given expression.

Q: Use Euler’s method to approximate the indicated function value to 3 decimal places, using h =   0.1.

A: Use Euler’s method to approximate the indicated function value to 3 decimal places, using h =   0.1.…

Q: Answer the following questions. Exact answers only! a) Find given y = 2 ec(ln x) b) Find the…

A: For (a), We are given that y=2secln x. So,         y'(x)=2seclnx' Apply exponent rule:   ab=eblna.…

Q: A particle is moving such that its position after t hours is s(t) =- -measured in meter. 4t +1 Find…

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Q: Find the differential of each function. (a)     y = etan(πt) (b)     y = sqrt(1+ln(z))

A: given y = etan(πt) we need to find the derivative of the above function…

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: Write a differential formula that estimates the given change in volume or surface area. Then use the…

A: S=4πr2 Differentiating with respect to r, we get ⇒dSdr=4π2r⇒dS=8πr dr Now when radius changes from…

Q: Two particles start at the origin and move along the x-axis. For, 0 <t< 10 their respective position…

A: Given, x1=sint , x2=e-2t-1 ,0≤t≤10 To find the velocity, Differentiate with respect to t we get,…

Q: Determine an equation of the tangent line to y = (e +2)ª at the point (0, 81), then solve it for y.…

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

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Q: The height (in centimeters) at time t (in seconds) of a small mass oscillating at the end of a…

A: Instantaneous velocity of a particle is the velocity at a particular time.

Q: Find the most general antiderivative , verify answer by differentiation  g(x)=7sin theta/3

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Q: The displacement of a particle moving back and forth along a straight line is given by the following…

A: The displacement of a particle moving back and forth along a straight line is given by the following…

Q: Find the total differential du. 1. w = y tan a? – 2xy

A: To find the total derivative

Q: Find the differential of each function. (a) y = tan 7t dy = %3D 5 - v2 (b) у%3D 5 + v? %3D

A: we have to find the derivative of the following

Q: Use linear approximation, i.e. the tangent line, to approximate 1.9² as follows: Let f(x) = x². The…

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Q: Find the differential of each function. (a) y = tan(v3t) dy = 5 - v? 5 + v? (b) y dy =

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Q: Find the differential of the function. 7 + uvw Da + | Dov•([ Daw dT =

A: Given function is By using quotient rule of differentiation

Q: Find the first order derivative for the following: cot(e(+M)y) sin(My²) + Vx4 + Mex %3D

A: We will find  ∂T/∂x,    ∂T/∂y

Q: Suppose that the radius r and area A = pai r2 of a circle are differentiable functions of t. Write…

A: Given, Radius = r Area = A= pi*r^2

Q: Assume a particle's position is given by f(t)=3/t,where t is measured in seconds and f(t) is given…

A: Assume a particle's position is given by ft=3t ,where t is measured in seconds and ft is given in…

Q: Use the tangent equation. tollowing equation to find the approximation at Co,0): fCX.y)e Jy+ cos cx)…

A: The given function is: f(x,y)=y+cos2x

Q: Find the differential of each function. (a) y = tan(v 5t) dy = 5- v2 (Б) у- 5 + v2 dy =

A: Use the basic concept of derivative and chain rule than simplify.

Q: Let y = tan(2a + 8). . Find the differential dy when a = 5 and da = 0.2 34.47 Preview Find the…

A: To find the following a). The differential (d y) when x = 5 and (d x) = 0.2. b). The differential (d…

Q: Find the derivative. sint 1 du 1-u? dt cost OA. 1- sin? t 1 OB. OB. 1- sin?t 1 Oc. cost (1- sin 2 t)…

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Q: A particle that moves along a straight line has velocity v(t) = t?e meters per second after t…

A: The displacement -velocity -time equation is given by, dsdt=v(t) The displacement during the first t…

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

A: cos32° It can be written as, cos32°=cos30°+2° Now, fx=cosx, x=30° &amp; ∆x=2°=2π180 radians Now…

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

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Q: f(1, у) — Зх + 2у;

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Q: use Euler's method to obtain an approximation to four decimal places of the indicated value by first…

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Q: What is the derivative of r(t)=e^(4t)costi+e^(4t)sintj+e^(4t)k

A: Differentiate both sides with respect to t.

Q: (a) Find the velocity of the particle at time t. s'(t) = (b) When is the velocity 0? (Use n as the…

A: Follow the procedure given below.

Q: Find the differential of each function. (a) y = x2 sin(4x)

A: