Problem 6. A 12-foot chain is hanging from a winch 18 feet above if th

Q: Use Newton's method with the specified initial approximation x1 to find x3, the third approximation…

A: Consider

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A:

Q: Sketch the curve. r=2 sin 8 1 2 -1 OO O O -1 1 -2 -1 O Find the area that it encloses. 1

A: r=2-sinθ

Q: x d²y dx² 4 + xy = 0 dx Show Transcribed Text Using the Frobenius series method, solve the equation…

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Q: A fluid has density 2 kg/m³ and flows in a velocity field v = -yi+xj+2z k where x, y, and z are…

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Q: The demand curve for a certain product is given by p(q) = 566-q². The supply curve is given by p(q)…

A: The demand curve is given by:p(q)=566-q2The supply curve is:p(q)=1.1q2

Q: g(b) Use the Substitution Formula, f(g(x))• g'(x) dx = f(u) du where g(x) = u, to evaluate the…

A: We need to solve integrals.

Q: Suppose that ƒ(x) and g(x) are two functions and we know that: ƒ(-3) = 2 g(-3) = 5 ƒ'(−3) = −1…

A: Suppose that fx and gx are two functions and we know that,  f-3=2g-3=5f'-3=-1g'-3=-2 To find the…

Q: Write an (4,9) equation for a line parallel to g(x) = 3x -1 and passing through the point

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Q: 17. Find AB. A 24.1 m 115.5° C 17.7 m A) 35.5 m C) 30.2 m B B) 31.7 m D) 37 m

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Q: Let f(x)=x√x + 8. Answer the following questions. 1. Find the average slope of the function f on the…

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Q: Usain Bolt set a new world record for the 100 m dash in 2009 in Berlin. He ran 100 m in 9.58 s. a)…

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Q: Evaluate the definite integral. -π/2 -π/2 xsin x dx 1 + x8

A: According to question,Given integral,∫-π2π2x4 sin x1+x8 dx

Q: log (2³√√x³y)

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Q: How long will take for an investment of $10,000 to grow to $30,000 if the investment earns interest…

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Q: The marginal cost of producing the xth box of light bulbs is  13 − (x/30000),  and the fixed cost…

A: The marginal cost function is given as C'(x)=13-x30000 The fixed cost is given as C(0)=$20000.

Q: At what point on the curve y = 1 + 2e* 3x is the tangent line parallel to the line 3x - y = 5?…

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Q: Evaluate the following limit. Use l'Hôpital's Rule when it is convenient and applicable. 11 cos 0…

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Q: Internet Audience   At the end of a certain year, the four companies with the largest number of home…

A: According to question,Given equations,z − u = 3(x − y) + 14                .....1x + y = 48 + z + u…

Q: Let b(t) represent the population of bunnies on Greentree Island t weeks after the population was…

A: To solve the following

Q: Use the Laws of Logarithms to expand the expression. log5 (AB⁹)

A:

Q: The growth of a new restaurant depends on the number of its regular customers as p'(t) = .01₁√√p(t)…

A: Given differential equation  p'( t ) = 0.01p( t ) Given   p = 81 when t = 0

Q: Express the limit as a definite integral on the given interval. lim n i=1 3i 3 - + * n - n

A: limn→∞∑i=1n1+3in*3n

Q: Find div F and curl F if F(x, y, z) = xzºi + 6y²x²j + 6z²yk. div F= curl F=

A:

Q: The revenue from a manufacturing process (in millions of dollars per year) is projected to follow…

A: Given that,     The revenue from a manufacturing process is projected to follow the model,   R =…

Q: For the given cost function C(x) = 128√√x+ give at least 3 decimal places. a) The cost when…

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Q: Find f. f ″(x) = 20x3 + 12x2 + 8,    f(0) = 6,    f(1) = 3 f(x) =

A: To solve the following

Q: Use the binomial series to expand the function as a power series. State the radius of convergence:…

A: (1-x)34 The binomial series states that for any real number r and any complex number x with |x| <…

Q: Two years ago, $9,000.00 was placed into an investment in which the amount of money present, P.…

A: Two years ago, $9,0000 was placed into an investment in which the amount  of money present, P, grows…

Q: A company manufactures 2 models of MP3 players. Let x represent the number (in millions) of the…

A: Given revenue function  R( x , y ) = 170x + 160y - 3x2 - 4y2 - xy

Q: Find the function s(t) satisfying ds dt = 2-5 cost and s(0) = 4.

A: We have to solve the given differential equation

Q: Perform the following operations given functions f, g and h below. For the quotient function, find…

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Q: Solve the initial value problem 2yy' + 6 = y² + 6x with y(0) = 5. a. To solve this, we should use…

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Q: Determine whether Rolle's theorem applies to the function shown below on the given interval. If so,…

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Q: iii) the polar equation r = cose is equivalent to x² + y² =

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Q: -(-3 y= 2³ +9r 4 3r

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Q: x--2 -x+2-3 (7) Find the limit: 2x²-5x-3 lim x-3 x-3

A: Topic:- application of calculus  Using the limit defination  and L hospital rule .

Q: Find f'(x), f''(x), and f(3³) (x) for the function f(x) = f'(x) = f''(x) = (3)(x) = x² - 6x-27 x + 3…

A:

Q: du first! (a) (b) e-* dx Ja x² cos 3x dx (c) (d) J e2x dx x²e5x dx (e) (f) [In [cos 2 In x

A: E) ∫ln(x) dx

Q: The graph above shows the base of an object. Compute the exact value of the volume of the object,…

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Q: An equation of the tangent plane to the surface 2z-x²-0 at the point P,(2, 0, 2) is given by: a.…

A: 2z-x2=0 at the point P0(2,0,2)

Q: 1. Evaluate (a) (3+j2)+(5-j) and (b) (-2+j6)-(3-j2) and show the results on an Argand diagram. [(a)…

A: To evaluate the given expressions.  "As per the rules, we are supposed to answer the first question…

Q: Suppose that the equation x'+sin(z+y)-2zIn(x) -1=0 defines z as a differentiable function of the…

A: Equation: x3+sin(z+y)-2z2ln(x)-1=0 We have to find ∂z/∂x at (1,0,0).

Q: 1) Find the linear approximation of the function f(x)=1+x and use it to approximate the numbers 0.95…

A: Given function ⇒fx=1+x3

Q: dy dx - - 2x - 3y² + 2 = 0

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Q: 18. z = w³/²(w + cew)

A: Given function z = w32( w + Cew ) Formula used ddxxn = nxn-1ddxex = ex

Q: Given that y₁ = t is a solution to the equation below, find a second solution for t > 0. * - ( ) x +…

A: The given problem;

Q: 5.- In the textbook a complex number is written as r≤0° this corresponds to rei evaluate (10/30°) ²

A: To evaluate the following expression. 10∠30°2

Q: Let log4(7t + 64) - 5 (a) Find the domain.

A: We have to find the domain ,range, vertical intercept, horizontal intercept, vertical asymptote.

Q: A 12-ft-tall fence runs parallel to a wall of a house at a distance of 22 ft. Find the length of the…

A: P.S please ignore the dotted line and labelling at dotted line in diagram