To find the root of the equation x² - 3 = 0 using the fixed point method in [1,2], one of the proposed iterative formulas is Xn+1 От OF = 3 xn

Q: Find the limit of the function lim x → − 2 ( 2 − | x | 2 + x )

A: Topic:- calculus

Q: The side of a cube is 11 m with a possible error of 0.02 m. Use differentials to approximate the…

A: Given that the side of the cube is s=11 m with possible error =0.02 mSolution :volume of the cube…

Q: -1 Using Doolittles method for the following matrix A = 0 L-2 L- matrix and U - matrix. 2 11 86 0 51…

A: Given, A=-121086-205

Q: Define R as the region bounded by the graphs of f(x) = 3√x and g(x) = over the interval [1, 3].…

A: Given thatRegion bounded by y=x28 , y=3xx=1 and x=3Using cylindrical shell mathod…

Q: 1. Cot cot x dy + ct x dx -x dx. xdx Sdx

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Q: Consider a revenue function defined as R(x) = At what value of x is the rate of change of revenue at…

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Q: Prove the identity. sin (x-y) = tanx-tany cosx cosy Note that each Statement must be based on a Rule…

A: To prove the identity.

Q: 2. Describe how the graph of y = 2ƒ (²x) — 3can be produced from the graph of y = f(x). List all

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Q: 3. For the given differential equation, do the following: 6y²dx-x(2x³ + y)dy = 0 a) Find P(x) or…

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Q: limx→0 sin 2x 2x²+x

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Q: Simplify tanx (cscx sinx). A B D 0 1 sinx COSX

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Q: 18. The first term of a sequence is 3 and the common difference is 4. State the general term.

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Q: The limit of the function lim x → − 2 ( 2 − | x |/ 2 + x )

A: Here we have to find the value of limit limx→-222-x2+x

Q: The shaded region between the graphs of y y = 3x - 15 is displayed below in orange. 2x² + 20 and

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

Q: 3. Calculate the following limit analytically or show that the limit does not exist. Re- member to…

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Q: 2) GIVEN: | , , در

A: Let's find length and angle.

Q: List the x values of the discontinuities of the function below: y = In (tan²(x)) over the interval…

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Q: If an investment increases 1% the first year, 5% the second year and 9% the third year, what is the…

A: Let the investment at starting is = x   Increase in first year =1 % increase in second year = 5%…

Q: 1. Solve the differential equation xy dx - =O (x+2) dy =o

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Q: Find high order DE 6. (D4-5D² - 36)y = 0

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Q: Consider the following. See Examples 1, 2, 3, 4, and 5. x²-4 x+2 f(x) = X = y 10 * X 5 10 -10 -5 -10…

A: given graph of f(x)=x2-4x+2

Q: 3.44 3. Test for homogeneity f (x, y) tanx-sec²x - cosy

A: Question : Test for the homogeneity f(x, y) = tanx - sec²x - cosy

Q: Let f(x) = = Jmx - - 6 X x² + 10x - 2 if x < - 4 if x ≥ 4 If f(x) is a function which is continuous…

A: Find the value of m

Q: (a) Find the point at y = x³ + x, if the slope is equal to 4. Then find the equation of tangent…

A: I have stated the used method in the brackets

Q: Solve 2log (√√x) -log(6x - 1) = 0. 1 A X=- 6 B 1 X=- 5 Ⓒx=5 D x=6

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Q: 13) 16) x2/3 x + 1 x³ x² +1 dx dx

A: Given data:- 13) ∫x23x+1dx 16) ∫x3x2+1dx

Q: If the general solution of (2x² − 3y²) y'= 2xyisy “¹n|yº| +xª=Cy", what is the value of b? (A) -1 B)…

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Q: Simplify: 3√2 + √32

A: Given.

Q: 2. dx tanx 4t² dt

A: To differentiate the given function.

Q: 4. Find f '(0.5) for f(x) = [Arc tan(t)dt - Arc ta O 0.8 0.131 O 0.120 O 0.464

A: The function fx is given by fx = ∫0xArctantdt To evaluate: The value of f'0.5

Q: Evaluate the limits given the following information: lim f(x) = 6 lim g(x) = -9 24-6 x--6 a) lim x 6…

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Q: y(x) = c₁e* + c₂e-x + 4sin(x)

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Q: 14. Estimate the area under y = 36-x² using 3 rectangles and the left endpoint method. y=M-2²…

A: Here we use the left endpoint method.

Q: = Suppose that f and g are functions where f(- 9) = -5 and g(0) be on the graph of y = f(g(x))?…

A: We have, f-9 = -5 g0 = -9 The function is, y = fgx                                .............1 To…

Q: 3x 9. Evaluate § 2³× d dx

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Q: for f(x)=3x^2, find the average rate of change of the function over the interval [0,2].

A: For the function fx=3x2, to find the average rate of change of the function over the interval [0,2].…

Q: Eliminate the arbitrary constant. 2x -X y=c₁e + c e 1 2 A B с D y" y'- 2x=0 y"-y'- 2y=0 2y"-y-2x=0…

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Q: lim x→2 f(x), where f(x) =    10  −  2x    if x < 2 x2  −  x    if x ≥ 2

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Q: Define as the region bounded by the functions u(y) = 2 and v(y) around the y-axis, what is the…

A: The region Q is bounded by the function u(y)=2 and vy=y24 between y=1 and y=2 The solid formed by…

Q: You are calculating a tip on a restaurant bill. The service was good, so you would like to tip about…

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Q: 17. f(x)=- a. b. C. d. lim lim (x-2) lim f(x)= lim x-2 /(x)= f(x) =

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Q: Given f(x) = √x and g(x)=x²-9, find the composite functions. (a) f(g(3)) (b) g(f(9)) (c) (^(-¹)) (d)…

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Q: Use the spreadsheet to answer the following questions. 83 AENT 4 5 A 47 37 94 76 60 B Answer: 3 82…

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Q: 1. Solve the differential equation xy dx = (x+2) dy =o

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Q: 17. For an object whose velocity, in ft/sec is given by v(t) = 2sin(t), what is its distance, in…

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Q: 3. 3.) (гуч 7 3ху - 2ytox) art (хочу -) бусо

A: See the details solution in below

Q: The vector v = ai + bj is parallel to the line bx - ay = c. Use this fact to find an equation of the…

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Q: 26. The graph of y = f '(x) is shown below. List the intervals where the graph of f is concave up. O…

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Q: wn is bounded by the line y = − 5x + 4, - -axis and the y-axis. y X

A: we will find the area.

Q: 16. f(x)=-3x¹(x+4) a. b. C. d. 0. lim x--1 f(x)= lim 11-1 /(1) lim lim lim 1172 f(x) =

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