Question 10 of 10 sin x g(x) Select the correct response 1 Vx cos x 2x CoS x sin x - 1 VT cos x Va sin r x sin COS X Va

Q: What is the derivative of the function f(x)= In(3x²) ? a. f'(x)= b. None of these. 1. f'(x)= бх rw-…

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Q: QI: Solve the following DE: e*dx-ydy 0y(0) = 1

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Q: The auxiliary equation for the differential equation y" – 4y" – 12y = 0 - is

A: The given problem can be solved as follows:

Q: 6х3 + х2— 5х —7 –dx. Use Зx2 —х — 2

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Q: Given the differential equation 5 y" = 7xy' Use Reduction of Order and the letter "R" to reduce the…

A: Let y' = R So, y'' = R'

Q: For what values of a, if any, does the series shown below converge? 00 a 2 Σ n+6 n+9 n= 1 Select the…

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Q: If a > b, it is possible to have log,(a) < log,b). (As usual with logarithms, a and b are positive…

A: From the rule of logarithmic inequality, If x &gt; y , then logax&gt;logay if x, y&gt;1 If x &gt; y…

Q: Given the differential equation -7x y" + y' = 6x2 Use Reduction of Order and the letter "R" to…

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Q: 3- f xvx2 +1 dx

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Q: Find the arc length of the parametric curve. x = 14 cos(t), y= 14 sin(t), z = 48t; 0<t<T L

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Q: dy Solve dx x+ y and find the particular solution when y(1) = 1

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Find the area of the region bounded by y = ¾(x + 2), x = 2 and the x-axis.

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Q: Problem 2. Which gives the Laplace transforms of the given time-domain function? -2.5 In…

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Q: The functions yi = e linearly independent solutions of the homogeneous differential equation x and…

A: Two solutions of a differential equation is said to be linearly independent iff their wronskian is…

Q: f(x + Ax)-f(x) D. APPROXIMATE DERIVATIVES f(x) = Ax 8.) 2A

A: Given function f(x)=2x

Q: 3. x² + 5x + C .2

A: Derivative of xn is ddxxn=nxn-1.

Q: Activities in Logarithm dy Find the dx 1. y = In(x? – 7x) -

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Q: 3. Calculate the volume and total surface area of the solid prism shown. 11 cm 4 cm 15 cm 5 cm 5 cm…

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Q: 2. 01> 7 ( (E) 1<1<2 and 5 <r<6 OA 旧0 OB 近。

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Q: dx 1- S 4+x2

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Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

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Q: Work Problem [ solutions and justify your answers. Write step-by-step (1) L. | Solve the…

A: The given differential equation can be solved as follows:

Q: Use Green's Theorem to evaluate the line integral. dx + ху dy C: boundary of the region lying…

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Q: Vex – 1 dx c2

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Q: 2-fx'e-2x* dx

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Q: Find the general solution of the differential equation y" – 3y" + 2y' = 0.

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Q: 6. y = 3x²V4x

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Q: 2- fx³e-2x* dx

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Q: Show the solution.  1) What kind of triangle whose lengths of the sides are 11, 15, and 9? 2) A…

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Q: ex - (1+ x) Use series to evaluate lim 6x2 ex-(1+x) lim %3D 6x2 (Type a simplified fraction.)

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Q: Solve the boundary value problem y" – 10y + 25y = 0, y(0) = 3, y(2) = -2. %3D %3D |

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Q: 5. Eliminate the parameter to find a Cartesian equation of the following curves. et (a) x = vt+1, y…

A: Eliminate parameter t.

Q: 7. Consider the curve x 3t4 + 4t3 + 100, y = 3t - t°, -2 <t< 2. dy What is dx dy when t = 1? dx (a)…

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Q: Find an equation y = f(x) for the parametric curve c(0) = (cos(0), 10 cos(0) + 3 sin? (0) and…

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Q: C is polygonal path from (0, 0) to (3,0) to (3, 2); the sur- face is f(x, y) = 2x +y

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Q: 2 Determine f(x), given f'(x) = x´ – 3x + 1, and f(0) = 2.

A: As per the company guidelines we are supposed to answer only the first question.Kindly repost the…

Q: Find the area of the surface generated by revolving the given curve about the y-axis. I = 8y + 3,…

A: Given that the curve x=8y+3, 0&lt;=y&lt;=3  To find the Area of Surface generated by revolving the…

Q: The Taylor polynomial of order 2 generated by a twice-differentiable function f(x) at x = a is…

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Q: Find the intervals of concavity of the function g(x)=2x4+9x3

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Q: f(x) = 2cos(3x−2) 1. What is the first derivative of the equation? 2. What is the second derivative…

A: The given function,         fx=2 cos3x-2 Note:     multiple subparts are given, we are answer only…

Q: 3 2 4x 6. S x´e* dx

A: ∫ eau du = 1a eau +C ; where , 'C' is an integration constant .

Q: x+4x+3 dx 5. 24—5х2+4

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Q: 6. Given a 2-unit factor of 0.87 find each of the following: (round answers to 4 decimal places) a)…

A: Given :The 2-unit factor of 0.87.To find :The 4-unit factorThe 1-unit factorThe 1/3 -unit factor

Q: x +1 Evaluate the integral dx. Vx2 + 2x + 3

A: Note: for given integral none of the option is correct match.I have solved as per integration by…

Q: 14. 2x2 – x³y' = y3 %3D -

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Q: The half-life of carbon-14 is 5600 years. If a piece of charcoal made from the wood of a tree shows…

A: Solving

Q: N= N, - 0.2 t ,e

A: To find dN/dt for the followingN=N0e-0.2t

Q: 4 cos(x) = 4 cos(x)i - 4 sin(x)j -4 sin(x) u3D( )i+( ) j

A: solution is given below

Q: х3-х-1 4. S (х-1)(x?-х)

A: To evaluate the given integral.∫x3-x-1x-1x2-x dx

Q: Consider the differential equation y" – - 1ly" + 28y = 0 %3D

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