It is found that 0.5% of radium disappears in 12 years, a.) What percent will disappear in 100 years. b.) What is the half-life of the radium? Elementary Application (Differential Equations)

Q: Estimate √4.1 using linear approximation.

A: This question is based on the linear approximation of a function.

Q: S(-uP +2u7 + uP)du No appropriate Match Question 6 o Sl-P-2u - )du Match the integral expression on…

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Q: Give all solutions of the nonlinear system of equations, including those with nonreal complex…

A: y= x2 +4x  ....(1)2x-y=-8 ......(2)2x -[x2+4x] =-82x -x2 -4x…

Q: The integral expression J xcos²(2x)dx can be evaluated using integration by parts of the form Judv=…

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Q: y(x) =x' (2x – r²)

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Q: Find the exact length of the curve. y = In(cos(x)), 0 s xs- TO 6. Need Help? Read It

A: Given problem:- Find the exact length of the curve.   y = In(cos(x)),   [0, π/6]

Q: Find an equation of y =

A: Given query is to find the equation of the tangent.

Q: xsin-1(x) If x =0.23 and y = 0.81, then value of C in the antiderivative of F(x) = is V1- x2 Add…

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Q: Determine whether or not the following are continuous functions. Sketch the graph

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Q: 12. 2y" + 2y' + y = 0

A: We have to find solution

Q: Find the Taylor series generated by e at x-l Compare ansner with

A: We have to find the Taylor series of the given function.

Q: Given  fx=-x+42-7, what is true for vertex point?   Max., (4, -7)…

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Q: Directions: Determine whether the given functions is continuous, differentiable, neither, or both at…

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Q: 1. y = 8x5 - 2021, 5th derivative 2. y = x5 - 3x4 + 6x³ - 9x² + 12x - 15, 4th derivative 3. y = 2x2…

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

Q: In the accompanying figure, arc AB of circle 0 measures 70. If the measure of ZAOB is represented by…

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Q: Let x = 0.29 and y = 4.03. Determine the value of C when you evaluate tan(2x)dx.(Use 2 decimal…

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Q: Write an equation for the transformed logarithm shown below, that passes through (2,0) and (-2,3)…

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Q: Determine the one-sided limit of the function f in the figure at the given point. 15 10- 5. (Use…

A: Given query is to find the Indicated limit.

Q: Find the derivative of the function. y = cos( V sin(tan(3x)) y' =

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Q: If x =0.51 and y = 0.1, then value of C in the antiderivative of F(x) = xsin-(x) is V1- x2 Add your…

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Q: Determine whether u and v are orthogonal, parallel, or neither. u = -7i + 48j – k %3D v = 7i +j- k O…

A: Given u = -7i + 48j - k v = 7i + j - k

Q: fully continuous for all x E R by use of the product rule differentiate the function f{x} = x3e-4x

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Q: Let x = 0.46 and y = 4.74. Determine the value of C when you ev |tan-(2x)dx.(Use 2 decimal digit)

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Q: A cylindrical can is to be made to hold 1 L of oil. Find the dimensions (in cms) that will minimize…

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Q: Let C be the triangle with vertices at (0,0), (1,0), and (1,1) oriented counterclockwise. The vector…

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Q: Find the relative maximum /minimum values of the function x-2 f(x) = x+2 %3D State where the…

A: Given problem:- Find the relative maximum / minimum values of the function   f(x) = (x - 2)/(x + 2)…

Q: 1 7. y = \x sin x,

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Q: Consider the following. u = -6i – 2j – 4k, v = 2j + 2k (a) Find the projection of u onto v. (b) Find…

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Q: Use Forward and Backward differentiation to calculate f' (1) as accurately as you can. Let h = 0.08…

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Q: clurs thal salisly 1. The unit vector in the same direction as (-3, –5) is

A: According to company rules.. I need to solve first question when multiple questions are posted

Q: Indicate with true (T) or false (F) whether the following functions are polynomials. f(x) = x+ 2.…

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Q: 4x-6z+5 2+3cosz sin z 9. Find dz.

A: Here we have to integrate the given Integral.

Q: Find the intervals in which the function f(x)=2x* +8x -5 is concave up/concave down. Also, find the…

A: Given a function of x.

Q: Determine the value of the arbitrary constant of the antriderivative of F(x) = x-In(x) given the…

A: Solution of question is written in below steps.

Q: Use the triple scalar product to find the volume of the parallelepiped having adjacent edges u, v,…

A: The Volume of a Parallelepiped Formula  =|(a×b)⋅c|

Q: Sudv= 2x)dx can be evaluated using integration by parts of the form v=uv

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Q: Use logarithmic differentiation to find the derivative of the function. y = x4 cos(x) y' = || %3D

A: y = x4cosx take both side natural log lny = 4cosx(lnx) now differentiate with respect to x (y')/y =…

Q: Q3. Determine the number c that satisfies the Mean Value Theorem for Integral of the function f(x) =…

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Q: 7+x on the domain[-8,0]. 8- x Find the absolute extrema if they exist, as well as all values of x…

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Q: mp must make an angi must a 15-foot ramp make with the ground to reach the same window? 30° 16° O…

A: Given query is to find indicated angle.

Q: Determine whether the integral is convergent or divergent. dx e2X + 3 convergent O divergent If it…

A: We have to find the given integral is convergent or divergent.

Q: Evaluate: /x?cos(2x)dx 2x2sin(2x) + 2xcos(2x) – sin(2 x) А + C 4 2x2sin(2x) – 2xcos(2x) – sin(2x) +C…

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Q: d100 y (100th derivatives) dx100 b.y = x100 ; find

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Q: 3. y = tan(sin 2x)

A: Please see the answer below.

Q: 7. What is the limit on the given table of values? 2 10 -1 -3 -5 -7 -9 f(x) 4 210.5 0.125 0.03125…

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Q: (2x-3 ifx22 6. f(x)= -2x+2 if x< 2 if x2-2 x+2 7. f(x)=-x-1 ifx<-2

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Q: Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat…

A: Given dr=0.08 cm, d=65 metres r=d/2=65/2=32.5 metres Now convert r into centimeters r=32.5*100=3250

Q: Write an equation for the transformed logarithm shown below -5 -4 -3 -1 -2- -4 f(z) =

A: We are given a transformed logarithm graph and we have to find function f(x) whose graph is this In…

Q: sets or parametric equations and symmetric equations of the line that passes through the given point…

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