Use Newton's method to approximate the given number correct to eight decimal places. 99 99

Q: 42. f(x, y) if f(x, y) = x² +9y² – 4 2

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Q: Use L'Hôpital's rule to evaluate lim 1→∞ f(x) = 4¹, g(x) = Write the exact answer. f(x) lim r∞ g(x)…

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Q: Compute the given integrals. Use exact values. Jesin a 6.³ esinx cos xdr = cos xdx +C

A: Integration

Q: Find the first 5 terms. ao = 6 = = an-1 +0.5 {an

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Q: Solve the following quadratic equation: 4x²+17-0

A: 4x2+17=0

Q: Evaluate the line integral F. dr, where C is given by the vector function r(t) F(x, y, z)=sin(x)i +…

A: We can find the line integral.

Q: Evaluate the line integral, where C is the given space curve. Lexye xyez dy, C: x = 3t, y = 4t², z =…

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Q: The canvas wind shelter is to be constructed for use on Padre Isla beaches. It is to have a back,…

A: Total area=  96 ft2The wind shelter have a back , two square side and a top

Q: 8. On triangle XZY (taken from the picture) below label the known angle, the known side, and the…

A: Let known angle ∠XZY = A known side XZ = B XY = x

Q: Find the indefinite integral for the function using the substitution u = 4y - 9. S (4y - 9)⁹dy = S…

A: The given integral is ∫4y-99dy. We have to find this integral using the substitution method. Use the…

Q: 3. Solve the second order differential equation using Laplace Transforms: Include all the steps y" -…

A: By using Laplace transforms, to solve y''-7y'+12y=16e2t  with y0=6 and y'0=4.

Q: A Norman window has the shape of a rectangle surmounted by a semicircle. (Thus the diameter of the…

A: The perimeter of the window is 16ft. The perimeter of the window is the sum of perimeter of the…

Q: Switch the integration order in / = 3 2(1-3) f f(x,y) dy dx

A: I=∫03∫-21-x23221-x3fx,ydydx

Q: ▸YouTube 3D Coordinate System - Spheres Part 3 of 3 Write an equation to describe the intersection…

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Q: The function s(t) = (t^2+t)^2/3, t >= 0 represents the displacement, s, in metres, of a particle…

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Q: Find the length of the curve (t) = et cos(t), y = et sin(t) for 0 ≤ t ≤ 5. Give an exact answer,…

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Q: dy d²y dx² dx Find and dy dx || x = et, = y = te-t d²y dx² For which values of t is the curve…

A: The given curve is:x=et ,     y=te-t

Q: Given and f'(-2) Find | f'(x) = | and find f(1) = -3 and f(-2) = 5. f"(x) = 7x - 3

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Q: The Rational Zero Test states that to find all the possible rational zeros of a polynomial, one must…

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Q: Use Descartes' Rule of Signs to determine the maximum number of positive and negative real zeros of…

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Q: Answer the following questions on f(x) = x²(x-7). a) List all critical values of f from the smallest…

A: The function is given as :- fx=x2x-73

Q: Find the derivative of ƒ (x) = (5) x-1 ƒ′ (x) = 3 ln(5) (5ª) (x − 1) + 3 (5ª) (-²) (x − 1)¯ (1

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Q: Using rectangles whose height is given by the value of the function at the midpoint of the…

A: Given: f(x)=x2 We are required to find: Area between f(x)=x2, x=0 and x=1 using rectangles whose…

Q: Determine whether the following limit type is indeterminate, has a fixed finite value, is or does…

A: As per our company guidelines, we are supposed to answer only the first 3 sub-parts. kindly repost…

Q: Q. 3 What is the equation of the following graph? y = - (x-2) 2 + 3 y = (x + 2) 2 - 3 y = (x-2) 2…

A: It is a downward parabola with vertex (2,-3)

Q: Use the Laplace transform to solve the initial value problem. 18. y' + 2y = 26 sin 3t, y(0) = 3 20.…

A: eat ↔LT 1s-ateat ↔LT 1s-a2

Q: Let f(x)=√x. Set up the definite integral for the area A of the region between the graph of f and…

A: fx=x 5,11 P=5,7,9,11

Q: Graph the function f(x)=x²-x and draw the tangent lines to the graph at points whose x-coordinates…

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Q: Write a polar equation of a conic with the focus at the origin and the given data. 7 hyperbola,…

A: We have to find the polar equation of the hyperbola with given data.

Q: Find the formula for (f - g)(x). f(x) = x² - 10x + 25 and g(x) = x² - 10x + 24 (f - g)(x) = [?]ײ +…

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Q: Q.10: Find the indefinite integral using trigonometric substitution. Show the substitution process…

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Q: Find the sum of the first n terms using the formula: a(1-rn) 1-r 2, 1, 0.5, 0.25, 0.125, ... (35…

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Q: 7. Show that there is no value of x for which f(x) = -and g(x) = -x5 have tangents with the sar…

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Q: Use the four-step definition of the derivative to find f'(x) if f(x) = 3x² - 9x +4. You may have to…

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Q: Evaluate the indefinite integral as a power series. √x4 in (1 00 In(1 + x) dx n+5 f(x) = C + (−1…

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Q: Write as the sum and/or difference of logarithms. Express powers as factors. log3

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Q: Use the equation = 8 Σx" for x < 1 to expand the function in a power series with center c = 0. 6-x…

A: 11-x=∑n=0∞xn  for  x&lt;1 to expand the function 56-xin a power series with center c=0

Q: At time t = 1, a particle is located at position (x, y) = (1, 4). If it moves in the velocity field…

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Q: Evaluate the limit lino (e-ti + (t+10)j + 9tk) t→0

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y= ²³² + 1/ / 3x…

A: NOTE: Refresh your page if you can't see any equations. . the given equation is and the given…

Q: nd the length of the curve r(t) = (cos(3t), sin(3t), 5t) for-5 ≤ t ≤7

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Q: Find the indefinite integral for the function using the substitution u = sin (t), (Hint: cos²t 5…

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Q: 1. 2 x Given the function: f(x) = xe. Determine the intervals of increase and decrease and state the…

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Q: 5 Suppose ƒ ƒ(x) dx if 6 = 10 2 and f f(x) dx = 9. and 7 Ma 5 10 Determine the value of f 6 f(x) dx.…

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Q: 3. 4. Determine if the field is conservative. F(x, y, z) = (cos (xz), sin (yz), xysin(z)) If C is a…

A: ∮Cydx+xdy

Q: The revenue from the sale of a product is given by R 1634x-83x²-xit the sale of 6 units gives a…

A: Rx=1634x-83x2-x3 Now put Rx=6600, we get 6600=1634x-83x2-x3⇒x3+83x2-1634x+6600=0 Now given that the…

Q: Differentiate the function. g(x) = = 3+8x 9-2x

A: Let two function u and v then ddx( uv ) = vdudx - udvdx( v )2Given g( x ) = 3 + 8x9 - 2x

Q: Approximate the area under the parabola y = x² from 0 to 5, using six equal subintervals.

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Q: x² + kx-24 x-3 lim- 6. Given that 3 exists, determine the value of k, and then evaluate the limit.

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Q: dy Find if y=(3x+1)². dx

A: given  y=(3x+1)2 formula of derivatives→(i) d dx(xn)=nxn-1(ii)  d dx(constant)=0