• Solve the separated functions when (i) k = 0 (ii) k #0 a²x kX(x) = 0 a2x2 %3D

Q: 3. a) Use the Chain Rule and the fact that |x| = Vx2 to show that d dx |x| b) Sketch the graphs of t...

A: We will use the give solution as we are instructed.

Q: For f(x, y) = 2x3 + x*y? – 5y? +10, Find fr:

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Q: Evaluate the indefinite integral by using the given substitution to reduce the integral to standard ...

A: Topic = Integration

Q: y sec t+sec t tan t + (2y+tan t) dt dy xy - (x+2y)2 dx 3y(x' -1)+(x' +8y- 3x) dy -0: y(0)=1 dx

A: Topic:-  differential equations  Note:- as per our guideline if more than one question uploaded than...

Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = -...

A: NOTE: Refresh your page if you can't see any equations. . to find the equation of velocity take der...

Q: The population of a city is modeled by the equation P(t) = 434,361e0.15t where t is measured in year...

A: NOTE: Refresh your page if you can't see any equations. . the given equation is  here we have P=1 m...

Q: Express the vector in the form v = vji + v2j + v3k. AB if A is the point (-9, -5, 5) and B is the po...

A: A-9,-5,5 and B-4,-12,8

Q: dy = ay + b whose dt Write down a differential equation of the form solutions all approach y 3 as t ...

A: Given,dydt= ay+bdyay+b = dtLet  ay+b=zdifferentiating both sides       a dy = dzSo,dzaz=dt1a. dzz=dt...

Q: 8. A company is increasing production of oven mitts at the rate of 4 per day. All oven mitts that ar...

A: Revenue function , R (x) = x P(x) Where P is the demand function  and x is the  price per unit.

Q: 36) -24i + 32j

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Q: Consider the following. cos(x) + Vỹ = 3 (a) Find y' by implicit differentiation. y'= (b) Solve the e...

A: We have to find y' by different method as p[er given in question.

Q: Determine if v is an eigenvector of the matrix A. Select an Answer v 1. 25 8.99999999999999 1 A = , ...

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Q: Find the inverse function g (x) = 4x + 8                                                     6 - x,...

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Q: dy 4x+xy? dx

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Q: You deposit $1100 in an account with 4% annual compound interest. Complete the following, assuming y...

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Q: Question 14 of 15, Step1 6f The variable a varies directly as the cube of b. If a = 9 when b = 17, w...

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Q: tate the domain and range of the following functions. y = 5x – 4 y = V - x {(x, y)ly = Vx2 – 16 %3D

A: Given problem is :

Q: 2t es the given condition; r' (t) =i+ te-t"j - =k;r(0) = i %3D t2+1 Vt2+4

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Q: Write the first five terms of the sequence: 13 ln n n n=1 Determine whether the sequence converges, ...

A: Given

Q: Given Cost and Price (demand) functions C(q) = 100q + 40000 and p(g) = - 2.6q + 800, what is the mar...

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Q: Find and sketch the domain of z = f(x, y) = In(9 - x - y²).

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Q: 2. The daily number of calories needed by a reptile of weight x pounds can be approximated by the fu...

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Q: 27. Use the disk method to find the volume of the solid generated by the region bounded by the line ...

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Q: Use the difference an+1 - an to show that the sequence | {n – 9"}+x Sn=1 is strictly increasing or s...

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Q: Given Cost and Price (demand) functions C(q) = 110q + 40000 and p(q) = -2.5q + 950, what profit can ...

A: NOTE: Refresh your page if you can't see any equations. . the cost function is  the demand function...

Q: Find a unit vector u in the direction opposite of (-8,-4,-9). u =

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Q: 16 Evaluate the integral: x² /x² + 49 (A) Which trig substitution is correct for this integral? Ox =...

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Q: Solve ſ cot3 4x csc² 4x dx then evaluate the answer at x=22, C=26

A: ∫cot34x csc24x dx

Q: Use the ratio test to determine whether the series converges or diverges. If the test is inconclusiv...

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Q: 19. Differentiate the following functions. g) y = 2 h) y = xsin-1x+ V1- x2

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Q: Use the root test to determine whether the series converges or diverges. If the test is inconclusive...

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Q: Given the graph of f, sketch a graph for: a. – f(- x) + 3 b. 4f(4x) 5+ f(x) 5. -5 -5+

A: Graph

Q: Question 2 We consider compound interest with a nominal annual rate r compounded n times per year. T...

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Q: (6) Find the volume of the solid obtained by revolving the region between y = y = e¬¤ for 0 <x < ÷ a...

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Q: 4. Find the arc length of ř (t)= <ť, 9t,4E"/, m/N

A: We know that, The expression for the arc length of the vector-valued curve is: L=∫abx't2+y't2+z't2dt...

Q: On the grid below: a) Graph & label each and all transformations using different colour pens of g(x)...

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Q: If a cup of coffee has temperature 100°C in a room where the ambient air temperature is 20°C, then, ...

A: Solve for average temperature after 40 min. 

Q: — 4т + 10у — 6 2 — 5у — 3

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Q: The wave heights h in the open sea depend on the speed v of the wind and the length of time t that t...

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Q: Use the Chain Rule to find the indicated partial derivatives. R = ln(u2 + v2 + w2), u = x + 7y,   ...

A: Given that R=lnu2+v2+w2u=x+7y , v=4x-y, w=4xyTo find :∂R∂x,∂R∂yR=lnx+7y 2+4x-y2+4xy2∂R∂x=1x+7y 2+4x-...

Q: 16 Evaluate the integral: x² /x² + 49 (A) Which trig substitution is correct for this integral? O x ...

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Q: Solve the given differential equation (3x-3y-2) da – (x – y+ 1) dy = 0 %3D | |

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Q: f(x, y) = 2x- xy + y, find (a.)and (b.) at (Xo, yo) didirectly from the definition. dx dy

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Q: Vrite a chain rule formula for the following derivative. for z = f(r, s); r = g(t), s = h(t) O dz dr...

A: We have to find out derivative

Q: Express the composition W (x) in the form f • g • h. W (x) = - 7 х — 7

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Q: Find what value of c does L dx = 1 ? x4 Answer:

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Q: cos° Vx dx x CsC csc Va

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Q: Determine the maximum curvature for the graph of ​f(x)=5ln(8x).

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Q: Show all work. Use your ow 1. Solve the following e a. 3 tan x = tanx b. - sin2 x +3 ce c. 3 cos = 2...

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Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = -...

A: