Find the second derivative (y") of the given function: y = ln (7- x³) O-3x(14-x²) O-3z(14+x³) O6r(7-³)-3x¹ 42x+92-6x

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Q: Differential Equations d³y(t) ·x(t) dy(t) + y(t) = 0 dt³ dt Linear or Non-Linear Constant or…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Find the derivative of the function: O y = e(ee+z) O y = e(e + 1) Oye (e + 1) Oy' = eªte²+et Y =…

A: eeex' =eeexeex' =eeexeex+x=eeex+ex+x

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Q: 5. List all critical points of T(0) = sin² 0 - cos 0 for 0 ≤ 0 < 2π.

A: Find all critical points of T(θ)=sin2θ-cosθ for 0≤θ≤2π.

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A: Given P(x)=e-2+x+3x21+e-2+x+3x2

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A: We can solve this as follows:

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Q: If f(x) = 2x² - 3x + 6, find f'(5). Use this to find the equation of the tangent line to the…

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

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A: See this solution in below.

Q: 2. In a. and b. (below), show that y₁() satisfies the given differential equation. Then, use the…

A: Given data:- The given differential equations, (a); 2t2y''+ty'-3y=0,       y1t=t-1 (b);  4x2y''+y=0,…

Q: (a) Find the dy = differential dy. y = ex/2

A: We will use differentiation to solve this.

Q: did

A: Yes, you are right there is some mistake in part e. so, I am rectifying it in next step. Sorry for…

Q: EVALUATE EACH 1) lim √x ².9 x 3 x-3 11m sin ³ x 3

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 16² - 15 $+

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A: Here we use the partial fraction to compute the integral . see below the answer and calculation we…

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Q: Carl

A: Given - First 100 natural or counting numbers,  I.e.   n=. 1,2,3,4,5.......100. Required- Sum of…

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Q: H..W. solve the following equc.t.i.9.1.2........ 2 y .................

A: To solve the following differential equation.x dy=y2-3y+2 dx

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Q: Determine the derivative of the given function: y = e OV=11/1/20 y y = -6xe 7 y' = -2x-¹e-3/ 0 0y=…

A: To find the derivative of given function.

Q: Question 3 An isotope of tin (Sn) has a half-life of 126 days. What is its decay constant? -5.5x10-3…

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Q: Find the general solution of the given differential equation. 6  dy dx + 42y = 7 1.Give the largest…

A: Solution is given below:

Q: Answer seems to be wrong

A: Given function:- 8x2-y2-7z=362

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A: Here we have to find the value of trignometric function.

Q: Find the differential dy of the given function. (Use "dx" for dx.) y=x√√9-x² dy

A: find differential dy

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A: To find current rate of change of wheat production.

Q: Complete the description of the plecewise function graphed below. S 1333. { f(0) = ( { O Question…

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Q: I need the P prime and Q prime of 1 and 6 P'(1)= Q'(1)= P'(6)= Q'(6)=

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Q: Find Vectors and Perform Vector Operations in R³ Let à = i + 27 + 3k. Find ||a||.

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Q: 12 -1 -2 (x² - y²) dydx O none is correct -8 00 08

A: To solve the given integral.

Q: Find the solutions of the following IVPS or DE. a. y" — 4y' + 4y = e²x, b. y" - 2y = e2²x +3, y(0) =…

A: See the details solution in below

Q: 4. f(x)=2", a = 0

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A: Need to find out the equation of sphere with the given center and radius.

Q: Find the solution of 25+1 di +T=80e-0.04² Select one: O a. T = (3.2tc)e-0.04t O b. T = (3.2t + c)e…

A: Here we have to solve the differential equation.

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A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

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A: The population of something on growth and decay rate is given by P(t)=P0(1+r)t-1, where P0-initial…

Q: Consider the function of two variables f(x, y) = 3x³9x + y² + 4y + 6 (a) Find all the critical…

A: Consider the function of two variables fx, y=3x3-9x+y2+4y+6 a To find all the critical points of fx,…

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Q: Question 23 arctan y + ln(1 + y²) =a²x³: Find y': Gaz (1+²) 1+2y O Jamani No answer text provided. y…

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A: Given, y=3x-6

Q: Find Vectors and Perform Vector Operations in R³ Find a vector with initial point ( – 2, 5, 0) and…

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