The area of a square is increasing at a rate of 36 centimeters squared per second. Find the rate of change of the side of the square when it is 6 centimeters. The rate of change of the side is Number . cm/sec.

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Q: 8 cos3(x) dx

A: ∫8cos3xdx  let u=sinx  then 1-u2=1-sin2x=cos2x      ⇒du=cosxdx     Substitute in the integral       ...

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Q: 1. Find the 45th of the arithmetic sequence -18, -22, -26, -30

A: As per company guidelines we can solve first question. I hope that the given solution will help you....

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A: Given problem:- Find the measure to the nearest tenth of the unknown angle given a = 8, b = 13 , c =...

Q: Question 14 (1 point) Find the limit of the infinite sequence. 2, 2, 2, 2, 2,. Enter dne if the limi...

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Q: Suppose that your first guess with Newton's method is lucky, in the sense that x, is a root of f(x) ...

A: Option (B) is correct answer i.e. x1 and later approximations will be equal to x0

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Q: 6x² – 2x +5 dx? What is 2x + 1

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Q: Solve х — 1 y+2 2 X 15 1- x 5+y 5 6. 2 6. 3.

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A: Given query is to rewrite the integral.

Q: Match each graph to its corresponding function. graph in green 1. f(x) = |a| graph in black 2. g(x) ...

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Q: 4x-12y+7z=10 x-4y+2z=4 -4x+11y-7z=-6 Use the gauss method and show every step please

A: The given system of equations,4x-12y+7z=10x-4y+2z=4-4x+11y-7z=-6

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A: Find the limit of the function x/√(x2+3) , x tends to infinity. 

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Q: The price-demand equation and the cost function for the production of a certain product are given, r...

A: Given: p= 15-0.005x C(x) = 2000 + 3x  

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A: We have to find integral

Q: x² – 6 f(x) x+1 > graph of f(x) as x approaches negative infinity -20 -10 10 20 30 40 graph of f(x) ...

A: Solution of question is written in below steps.

Q: 3. ( 3x²y + ev )dx + ( x³ + xe' – 2y)dy=0

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Q: vở tan v4 -dv 5+3 ln cos vt

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Q: Explain why each of the following integrals is improper. 10 (a) dx 9)4 (х — O Since the integral has...

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Q: Use the graph to approximate the integral using the Trapezoidal approximation Rule and then usin Sho...

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Q: +3 What is the antiderivative of A + C B x3 (2x%6 +9) + C B © 9x2 + 2x3 + C 5% + 6x/2 + c

A: Given problem:-

Q: Consider the following system. 2x – y+ 2z = 5 x – y+ 3z = 1 x + 2y + 4z = 6 10 1 2 -1 2 13 13 6 13 4...

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Q: 1 (х- 4) (x? +9)?

A: Given: - The rational function is, 1(x-4)3(x2+9)2 To find: - The partial fraction decomposition of t...

Q: Consider the surface given by the equation z – y = x². Draw a total of at least 3 traces in at least...

A: It can be solved in 2nd part using simple geometry.

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Q: If (0) d0=–sin20 + C , then f (0) =-cos20. 2 2 A True B False

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Q: Evaluate the iterated integral. dx dy dy = (Type an integer or a simplified fraction.)

A: To evaluate:∫17∫0414x3ydxdy

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Q: Find an equation of the tangent line of y = e" cos T, at z= 0.

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A: The given number 0.81

Q: QUESTION 8 Evaluate the integral. Give an exact answer. T/4 tan (x)sec2(x)dx = [Ans] %3D Show your w...

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Q: 3. sol Griven fun CHen. frxidz)= 9x2

A: To determine the first derivative ∇f of the given function.fx, y, z=2x3y2z2

Q: The accompanying graph shows the hypothetical cost c= f(x) of manufacturing x items. At approximatel...

A: Solution ) cost  c = f(x) Marginal cost = d c/ dx                            = f'(x) Change in margi...

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by ...

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Q: Suppose a product's revenue function is given by R(q) is units sold. -4q +200q, where R(q) is in dol...

A: Revenue function is R(q) = - 4q2  + 200q Differentiate with respect to q R'(q) = - 4 (2q) + 200(1) R...

Q: Let M be the region in the first quadrant bounded by the graph of y = 2x + 3, the graph of y = x + 3...

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Q: f(x.y) = xy' - 2x, P = (1, 1) 2.3 (a) In the direction of v (3.3) (b) In the direction toward the po...

A: Q(18).    Given f(x,y)=x2y3-2x, P=(1,1)

Q: Evaluate the given function ſ sec5xtanxdx a. sec*x + C b. sin*x + C c. cosx + C d. 금esc5x + C

A: topic - indefinite integral

Q: The limit of a constant is equal to the constant itself regardless of any value of x nearer to a num...

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Q: (a) lim 5x*+3x²-6r+10 2x4-3.x-4 4. Find the limit:

A: Given, Evaluate limit :limx→∞ 5x4+3x2-6x+102x4-3x-4

Q: 2. x + ( 1+x)y = e * sin2x dx

A: Tp solve the following differential equation

Q: Using calculus, find the absolute maximum and absolute minimum of the function f (z) = 5x - 20x +1 o...

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