2x +4y + 4z = 6 2y+3z = 17 -x + y - 4z = -16 %3D

Q: Find f) (0), for f(8) = 2 cos(36), using pattern recognition. (Don't take 22 %3D derivatives!) What…

A: Given: fθ=2cos3θ Formulas used: ddxcosx=-sinxddxsinx=cosxddxxn=nxn-1ddxCfx=Cddxfx…

Q: dx kx, x(t,)=x, dt where k is a constant of proportionality, serves as a model for diverse phenomena…

A: Topic:- function

Q: xydy – (y 3x2) dx = 0 –

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Q: Find the first partial derivative wx, wy, wz of ( x  +  yw )2 –  ez  – 2 = 0

A: Let's find partial derivative of given function.

Q: CIT *(z + 2) dx dy dz 2. Evaluate

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Q: 3. Determine the 4th derivative of: y = 2x'e* [y(4) = 2e*(x³ – 12x? + 36x – 24)I

A: I am attaching image so that you understand each and every step.

Q: 1) Find the Taylor series for f(x) = ln x centered at 3. Show All Your Work.

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Q: Q2:Find the Laplace of the following functions: 2. f(t) = t² sin(4t)

A: See this solution in below

Q: 1. Find for each of the following: dx d) y = e +x* +e° g) y =x2r-5 h) y = log3

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Q: g³ + x² + 2x+1 d.x (x² + 1)(x² + 2)

A: Explanation of the answer is as follows

Q: Find the general solution of cos x dy + (y sin x – 1) dx = 0

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Q: Find the volume generated by revolving the area bounded by the parabolic arc Vx + Jy = Va and the…

A: Given problem:- Find the volume generated by revolving the area bounded by the parabolic arc √x + √y…

Q: . Find dy for each of the following: dx 2-x? a) y = ln- 1+x b) y = Vx+e-x c) y = 52x+3

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Q: - The demand for your item is given by the following function 2 - 8z (z-8)(z² + 3) Find what number…

A: The given demand function Dx=-x2-8xx-8x2+3+100, so, x≥0. To find the number of products to be sold…

Q: Consider the function f (x) = sec (e*). %3D o How many different functions are composed to get f…

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Q: 7. (a) y(4) when y 2ln 30 1 (b) y() when y= %3D In 2t %3D

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Q: Direction: Translate the following notations into statements in terms of the area under the curve.…

A: LetI=∫212dxWe know that ∫abfxdx=-∫bafxdx, a<bThereforeI=-∫122dxTake constant outI=-2∫12dxWe know…

Q: A spherical snowball is melting in such a way that its radius is decreasing at rate of 0.2 cm/min.…

A: We know that volume of spherical snowball V=43πr3 Differentiate w.r.t.'t'…

Q: X+ 0.4Inx 04. limx→+o X+ 3lnx 05. lim, „(e* – 1)cosx e' – 1)cos> COSX 'x→0

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Q: finfyiy-6)"dy 2. 2.

A: We have to solve given integral.

Q: Consider the R 2 − R function defined by f(x, y) = 3x + 2y. Prove from first principles that lim…

A: Given function F(x,y)=3x+2y Take path  Y=-x  X→1 then y→-1 Then function F(x)= 3x-2x=x

Q: A ladder 13 ft long leans against a vertical wall. If the top slides down at 3 ft/s, how fast is the…

A: We can find the rate of decrease of angle of elevation as below.

Q: A. Set up the double integral | |(2? (x2 + y)dA where Ris the region above the x-axis bounded by the…

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Q: ydy -ヌ-9-y 7-8. 2.

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Q: Solve for x. Leave answers in exact values. a) In(e**) = 25 b) 20 = 4e-2x c) eln(ax) = In e %3D

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Q: Evaluate the integral Se*dx

A: We can solve this as follows:

Q: V. Determine all the relative minimum and maximum values, and saddle points of the function h…

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Q: 2. Evaluate xy(z + 2) dx dy dz

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Q: ди ди ди I. Find , and (whenever possible) for the following functions. az дх ду 1) и %3 Зх?у +…

A: Given problem:- 3) u= x/y +2y/z -3z/x  Find ∂u/∂x, ∂u/∂y, ∂u/∂z

Q: ACTIVITY 2:Solve the given below. Show your complete and exact solution. 5. Given the function f(x)…

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Q: Problem 3: Evaluate the integral using the composite Simpson's 1/3 rule with the indicated number of…

A: See this solution in below

Q: 5. Solve the equation: (D² – 3D + 2) y = 2r² + 1 O y = cje* + c2e²« + 4x + 3x² + x³ O y = cje" +…

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Q: Show that when a hole of radius a is bored through the center of the sphere of radius b, the volume…

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Q: 8 12 Vi VF dt 2.

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Q: 6. S (10 x - 40) dx x 2 - 8 x + 15 8. S (e 5x - e 2x + 8) dx 2 e 5x 7. S 10 cot 2x dx

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Q: False 1. If v, w, x E R" are vectors with v · w = 0 and w· x = 0, then v•x = 0 too. False 2. If v, w…

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Q: 1) Use Green's theorem to evaluate o y'dx-x°dy where C is the curve shown: r2 where ri=3 and r2=5…

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Q: Solve the following differential equation using Laplace transform 1. dx2 d²y + 25y = 10 (cos(5t) – 2…

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Q: determine the following log1o 10? b. log e?. c. log1o 800 с.

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

Q: 18-19. In xy = 4, let x and y be differentiable functions of t. Evaluate at x = 10 and = 20. dt dy…

A: A detailed solution is given below.

Q: C. Find y" for the following functions a. y-3y-x = 0 b. x + 4y2 = 12 C xy COs y

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Q: (x +y) dx +(x+y)dy z o

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

Q: 5. Which of the following is the correct formula for the derivative of csc u? A) 4(csc u) = (-csc u…

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Q: MULTIPLE CHOICE Question 5 Given the following matrices, find 2B- A. -20 5 3 2 0 and B = 17-3 4-3 1

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Q: Find the dy/dx: Given y = 3x +2x-1

A: solution:-y=f(x)=3x2+2x-1f(x+h)=3(x+h)2+2(x+h)-1             =3x2+2xh+h2+2(x+h)-1…

Q: In ly-y-cf dy

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Q: -2 Find f'(x). Given: f (x) = (2x3+3x2-5)2

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Q: Use the theorem of Leibniz in the following problems: 1. Obtain the n'th derivative of: x2y [x²ym) +…

A: To find out the nth derivative of the function.

Q: tan de sece + 4 cose COs

A: The integration of the integral is  tanx/(secx+4cosx).

Q: Identify the type of quadric surface defined by the equation 5æ? + 6y? + z = 30, and find all x-,…

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