Consider the following function. y = 6x In(x) Find y'(x). y'(x) = Find y"(x). y"(x) = Find the critical numbers (if any exist). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) X =

Q: A power plant generates electricity over a twenty-four hour period. The number of megawatts, M, of…

A: Given  A power plant generates electricity over a twenty- four hour period the number of megawatts…

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A: NOTE: Refresh your page if you can't see any equations. .

Q: Integrate (x²-x+6 x³ + 3x da

A: Our Aim is to evaluate the intgeral given below:-∫x2-x+6x3+3x-(i)

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A: The graph of f is shown. To apply Rolle's Theorem and to find all values of c such that f'c=0 at…

Q: Question 4 of 8 View Policies Show Attempt History Your Answer Correct Answer (Used) Your answer is…

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Q: 1) Let 1 = f²f²e-³x-2y dydx. Then / = e-12-26-41 b. +2e-*- 3 d. None of the above

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Q: Find the general solution of the given second-order differential equation. 5y" + y = 0

A: To solve the given differential equation.

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A: solution:-f(x)=3xf'(x)=ddx3x        =3ddxx-1/2        =3-12x-12-1        =-32x-32         =-32x32…

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A: According to given, Inoperative units= 1% Therefore, Operative units= 100-1 =99% =0.99

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Q: Consider the following. x = sin(10), y = cos(0). (a) Eliminate the parameter to find a Cartesian…

A: Given problem:- x=sin(θ/2) , y=cos(θ/2) , -π≤θ≤ π  Eliminate parameter and find Cartesian equation…

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A: As we know that; The standard of the First order linear differential equation is: dydt+Py=Q Where, P…

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A: Given integral:- ∫x2-1xdx

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A: We will  integrate the expression.

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Q: product

A: Please refer to the image below

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A: find limit solve the parametric equation

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Q: If √√x + √√y = 8 and y(4) = 36, find y'(4) by implicit differentiation.

A: Given that x+y=8 and y4=36 we have to find y'(4)

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A: A point is moving along the graph of a given function such that dxdt is 2 centimeters per second. To…

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A: Given: F(x,y) = 6i-2j

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A: Given problem:- rt=-ti+2tj+6tk , [0,1]

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Q: Find curl(2z + 3x j + 6y k). curl(2z i+ 3xj+ 6y k) = (i )i + (i )j + ( i )k

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Q: Ise the function f and the given real number a to find (f¹)'(a). (Hint: See Example 5. If an answer…

A: Please refer to the image below

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Q: The volume of a right circular cone of radius x and height y is given by V volume of the cone is 247…

A: To find dydx

Q: An infinite series [x_n converges if the sequence (S_n) of partial sums given oy S_n=x_1+x_2+...+x_n…

A: The given series is 1/[n(n+1)], n from 1 to infinity.

Q: ² x (√x + √x) dx

A: We know that integration power rule is  Integration of xn is xn+1/n+1 + C. Here C is integration

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Q: Give the Particular Solution of the following Differential Equation d² y dy +2 -8y = 0 dx² dx IBC:…

A: To find the particular solution of given differential equation.

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Q: 2x+5x7 x3 1²2 dx

A: To evaluate the given integral.

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Q: Use the disk method or the shell method to find the volume of the solid generated by revolving the…

A: Here, the region bounded by the curves y=x2, y=0, x=3 is:

Q: Find a differential equation whose general solution is 7t y = c₁e¹t + c₂e-2t. y" - 5 y' - 14 y = 0 ✓

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Q: f(x)=0 for x EQ and f(x)=x otherwise. We can conclude f is not integrable on [-1,1] sim

A: In this question we will use basic concepts of calculus i.e concepts of integration and continuity.…

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Q: At which value does the function g(x)= 3x^4 - 4x^3 attain a minimum and what is the minimum value?.

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Q: If the Wronskian W of f and g is t²eſt, and if f(t) = t, find g(t). NOTE: Use c as an arbitrary…

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