dx а. 3 x²(9x² – 4) .2 -

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A: Detailed explanation is attached.

Q: 3. Hallar una serie de potencias centrada en c = -3 para la función f(x) = 1 2х-5 a) Σ (3x)* 2-1…

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A: Use trigonometric substitution method for solving the integral.

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Q: ||r(t) × r"(t)|| ||r"(t)||* Use the formula k(t) to find k(t). r(t) = t°i + t°j K(t):

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A: Detailed explanation is attached.

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A: Follow the procedure given below.

Q: Integrate the vector field over the curve C. F (x,y) =(y+1, 2x) C: x=4t, y=t², 0<t<1

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Q: 3. Determine the derivative of each of the following. a) y = e-*sinx b) y = 2* + 3* c) f(x) = xcos2x…

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Q: Find the derivative of the following functions and simply it whenever possible. 6. y = ln(ln sec x)

A: The given function is y =lnlnsecx We have to find derivative of the function. We know derivative of…

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A: I have stated the used formula in the solution.

Q: Current Attempt in Progress Let a = ci + j and b = 8i + 24j. Find c so that a and b are orthogonal.…

A: for orthogonal of vector dot product of vector is 0 a*b=0 (ci+j)(8i+24j) = 0 8c +24 = 0 8c =-24 c…

Q: Lagrange Multipliers Use Lagrange Multipliers to find the maximum and minimum values of f(x, y, z)…

A: Given f(x,y,z)=2x+y-2 ...(i)  subject to the constraint x2+y2+z2=.4....(ii) So the Lagrange function…

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Q: Find the Laplace Transform of the following: 1. v(t)= 5 sin4t + 4 cos 3t- 9t+7

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Q: Let f(x) =x²-3X²- 24 x +26 a) the open intervals on which flx) is incheas in g aN the open intervals…

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Q: 10x Find the directional derivative of f(x,y) = at P(5,0) in the x + y direction of Q(4, –3). NOTE:…

A: Here is the solution:

Q: 13 Given that sin(0) = 14' and 0 is in Quadrant II, what is cos(20)? Give an exact answer in the…

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Q: 6. Theorem A matrix A is nonsingular if and only if det(A)#0. Which of the following matrices are…

A: We are authorized to answer one question at a time, since you have not mentioned  which question you…

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Q: 2.s +3 Find the Inverse Laplace Transform of (s+4) 3

A: Given

Q: Given f″(x)=−36sin(6x)f″(x)=−36sin⁡(6x) and f′(0)=−6f′(0)=−6 and f(0)=2f(0)=2. Find f(π/5)

A: f''(x)=-36 sin(6x)f'(x)=∫-36 sin(6x) dxf'(x)=-36 -cos(6x)6+Cf'(x)=6cos(6x)+Cf'(0)=-6-6=6 cos(0)…

Q: Use Lagrange multipliers to find the maximum and minimum values of f subject to the given…

A: Given problem:- Use Lagrange multipliers to find the maximum and minimum values off subject to the…

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Q: flx)= x-x 3! %3D 5! 7! f'(x) = 1-x %3D 21 41. 6 ! 2. Drove that

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Q: 33 2Vx- f (x) (1–3t) (t³-8) T Sin sin 2x + Ve2x + 2x – In e, x + 1 - 1-x g(t) = t # 2 2-t

A: Given:

Q: Q6. The price received from sales in OMR per unit is given by p =x² +x+1. i. the revenue function,…

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Q: 3. The standard fom of the first order lincar differential equation xdy + (2.xy -3y-4x dx =0

A: As we know that; The standard form of the first order linear differential equation is; dydx+Py=Q…

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Q: Consider the following function. f(x) = 3 − |x − 2| (a) Find the critical numbers of f. (Enter your…

A: The given series is: f(x)=3-|x-2|      =3-(x-2); x≥23-(-(x-2));x&lt;2      =3-x+2; x≥23+x-2,x&lt;2…

Q: Solve the following equation. (x – 4)2 – (x – 4) – 20 = 0 List your answers separated by a comma.…

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Q: Consider a triangle ABC like the one below. Suppose that a=57, b=71, and c=70. (The figure is not…

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Q: converges

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A: