Use differentials to approximate the value of sin 28 degrees . Note: For ∆x, express degrees in radians.

Q: sin(5лz) dx

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Q: make the given substitutions to evaluate the indefiniteintegrals. ∫sin 3x dx, u = 3x

A: Now put

Q: Find the length of the curve r = cos(f) + sin(0), 0sOs

A: The objective is to find the length of the curve.

Q: The slope of the tangent line to the graph of f(z) COS at a is Select one: O a. 00 2 Ob. 2

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Q: You were told that sin2x=cos3y a) Restate this as a statement of the form f(x, y) = 0 b) Use part a,…

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

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

A: topic - differential equations

Q: Plot c(t) = (sin 2t, 2 cos t) for 0 ≤ t ≤ π. Express the length of the curve as a definite integral,…

A: Given, c(t) = (sin2t, 2cost) for 0 ≤ t ≤ π

Q: Find the distance traveled by a particle with position (x, y) as t varies in the given time…

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Q: Use differentials (or equivalently, a linear approximation) to approximate sin(40°) as follows: Let…

A: Given, f(x)=y= sin 40° Therefore, f'(x)= y'= dy/dx= d(sin 40°)/dx f'(x)= cos 40°

Q: find the most general antiderivative or indefiniteintegral. You may need to try a solution and then…

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Q: Derive the third order dervitive formula at x = x, by using Newton's forward differences

A: Consider the function y=fx which is tabulated for the values xi=x0+ih, i=0,1,2,.....,n. Suppose that…

Q: 33. cos y? + x = e %3D

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Q: Find the exact length of the curve r = sin 0 + cos 0.

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Q: 3 sin (t) cos“ (t)dt

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Q: Find the approximate value of cos59 with the help of differential. w

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Q: Use a linear approximation (or differentials) to estimate the given number to the nearest hundredth.…

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Q: sin

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Q: Derive the third order dervitive formula at x = x, by using Newton's forward differences.

A: To find dydx, differentiate the Newton's forward difference interpolation formula with respect to p,…

Q: sin ede 1- cos e 8.

A: The integral of sinθ is given by -cosθ and the integral of cosθ is given by sinθ. The basic formula…

Q: Determine the speed (in meters per second) of a particle with a trajectory (3 sin (3t), 8 cos (3t)),…

A: We have to find dsdtt0=π4

Q: The horizontal distance or range (R) of an object thrown at an angle e from the horizontal is…

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Q: Use differentials to approximate Arctan (1.01) + e1.01

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Q: find the most general antiderivative or indefiniteintegral. You may need to try a solution and then…

A: Given, ∫(1+tan2θ)dθ  The antiderivative of sec2kx is 1ktankx+C The antiderivative of K f(x) is K…

Q: Express the circular function cos+sin as a single cosine with a phase displacement T Rcos (+a) where…

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Q: Use a familiar formula from geometry to find the length of the curve described and then confirm…

A: The given question is the application of integration and solved as shown in step2.

Q: Use differentials to approximate Arctan (1.01) + e1.01 .

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Q: H.W using differentiation prove that SinX s Cos, व

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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: find the most general antiderivative or indefiniteintegral. You may need to try a solution and then…

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Q: find the most general antiderivative or indefiniteintegral. You may need to try a solution and then…

A: ∫(2+tan2θ)dθ Formula ∫sec2θdθ=tan(θ)+C

Q: Excrcise 3. Using differential, find the approximate value for sin(29°). (29° means 29 degrees)

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Q: Find the differential of each function. (a) y = tan(3t) dy =

A: We have given  y= tan(√3t)  We have to find the differential equation.

Q: ind all the tangents to the curve y cos (x %3D

A: Here we have to find the tangents on the curve y=cos(x+y)...........(1)     , -2π≤x≤2π parallel to…

Q: By referring to implicit differentiation techniques, compute dy at point dx (3, t) for the following…

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Q: find directly the Laplace trans- forms of the functions described (by formula or graph) in Prob-…

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Q: Given a tasked to solve for (x) = tan e Vx , Allan said she would apply the derivative of the ev…

A: Given f(x)=tan ex and after applying derivative allan got  f'(x)=exsec2ex2x we need to check wether…

Q: Use a familiar formula from geometry to find the length of the curve described and then confirm…

A: To use the geometry we will change the polar equation into the cartesian equation first.  For that,…

Q: Find the differential of each function. (a) y = tan(V7t) %3D

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Q: f (x) = cos(3æ) – sin(x), xo = 0

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Q: Find the roots of the equation: sin(x) = x² – 4x to the correct six decimal places using Newton's…

A: Let the given equation is sin(x)=x2-4x

Q: The graph of y = 2x (x+ 1) and y = 1 (x>0) intersect at one point, x=r, as shown to the right. Use…

A: Let the given functions be, hx=2x2x+1gx=1x Equate both the functions,…

Q: Find the cosine of the angle between the curves (cost, -sin(t)/5, sint) and (cos(nt/3), sin(nt/3),…

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Q: Find the differential of each function. (a) y = tan 3t dy =

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Q: az dz and ду in terms of r, y, and z. Calculate using implicit differentiation. Leave your answers…

A: Given relation is,  x4+zsin(xyz)=0

Q: Find the common elrea between Y=2CI+Cose) and carved V=Z(1-Sine) which is Losatel in the funrth…

A: Let's find common area between given two curves. Common area in fourth quadrant.

Q: make the given substitutions to evaluate the indefiniteintegrals. ∫x sin (2x2) dx, u = 2x2

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Q: At what points does the curve 2a cos t - a cos 2t, y = 2a sin t – a sin 2t x = ave vertical or…

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Q: Use an appropriate local linear approximation to estimate the value of sin(31°).

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