ROOT FINDING METHOD - Find the root of e-²x - e-* -2.

Q: Find the area of region enclosed by x = t-tº, y=t-t³, 0≤ t ≤ 1 using Green's Theorem.

A: to find the area by green theorem

Q: Stock analysis. The price-eaming ratios of 100 randomly selected stocks from the New York Stock…

A: Statistics is the branch of mathematics which are dealing the presentation of data, interpretation…

Q: Use Green's Theorem to evaluate the line integral [(cos y + 3xy²)dx+(4x²y-xsin y)dy where C' is the…

A: we have to use the greens theorem to evaluate the line integral  ∫C(cosy+3xy2)dx+(4x2y-xsiny)dy…

Q: 2x1 -X1 + 3x1 + X2 - X3 = 3 2x3 = -8 X3 = 0)

A: We solve given system of equations by elimination method.

Q: 1. Evaluate the following complex numbers below. a. loge(5 + 3j) b. In (4 + 5j)³j c. log(-15) d.…

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Q: 10) Consider the function f(x) = √/X² Let T be the n Find T, and T₂ an T₂ is |R₂| ≤ 1th degree…

A: The given function is fx=1x2. Tn is the Taylor polynomial of n th degree that approx f1.02 about x=1…

Q: 3. A bookstore has a hardcover copy of a popular spy novel that has a price of $22.95, with a red…

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Q: Find the Equation for the Graph of a Logarithmic Function Previous (7,-4)

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Q: Find a particular solution to y" 10y +25y = -6e5t t² + 1

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Q: Consider the equation A ⋆ (rB) = r(A ⋆ B) = (rA) * B. * Which replacement/s for * will make the…

A: We know cross product is a determinant. If we multiply r to any row no matter as r is common our…

Q: A large rectangular movie screen in an IMAX theater has an area of 9,064 square feet. Find the…

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Q: (A) Suppose Ris the region in the second quadrant bounded by the circle x² + y² = 9, the lines y=-x,…

A: To evaluate the double integral by sketching the region in second quadrant of  x2+y2=9,y=-x and x=0.

Q: Based on an analysis of sample data, an article proposed the pdf f(x) = 0.65e-0.65(x - 1) when x ≥ 1…

A: here we will use the fact for a probability distribution function ( pdf) of f(x) Probability between…

Q: A state legislature consists of 42 Republicans and 34 Democrats and one Independent. How many…

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Q: 4. (a) (b) Let f : X → Y and g: Y→ Z be functions. Prove the following statements. If gof is…

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Q: Most railroad cars are owned by individual railroad companies. When a car leaves its home railroad's…

A: Solution

Q: Approximate the area under the curve y with 6 subdivisions. x³ from x = 1 to x = 4 using a Right…

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Q: Where possible, evaluate the following improper integrals: (a) //dx. (b) ¹₁x² In |x| dx. x2 (c) √2…

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Q: Find all the values of a such that the given series would converge. 6 (x)(n+1) (n +9) ∞ n=1 The…

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Q: Suppose that f(x, y) = x² − xy + y² = 5x + 5y with D = {(x, y) | 0 ≤ y ≤ x ≤ 5}. 1. The critical…

A: Given: fx, y=x2-xy+y2-5x+5y,  D=x, y|0≤y≤x≤5 To find:  1. The critical point of f(x, y).  2.…

Q: Consider the differential equation defined by the auxiliary equation (D² - 1)y = 0. Find the…

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Q: 8x2

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Q: Consider the dynamical system Vk+1 = AVk where  V0 =  0 3 A= 0 1 6 -1   Find a formula in terms…

A: The given dynamical system is Vk+1=AVk, where V0=03, A=016-1. The objective is to calculate the…

Q: Find the total upward flux of the field F =

A: To find the flux for given vector function

Q: Prove directly if the statements that are true, give counterexamples to disprove those that are fal…

A: We know that the set of integers is given by, ℤ=......-3, -2, -1, 0, 1, 2,...... To prove or…

Q: A. y = C₁e + C₂ex B. y = C₁e²+ + C₂e²x C. y = C₁e/x + C₂e == x D. y = C₁e + C₂xe-x -2/x E. None of…

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Q: Exercise 6.1.2 Convert each second- or higher-order equation into an equivalent system of…

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Q: Find the slope of the line tangent to the graph of the function at the given value of x.

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Q: Jo z(2x + 2y)¹/2² ln(2x + 2y)ds C

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Q: Using the Method for Variation of Parameters for the differential equation y" + P(x)y' + Q(x)y =…

A: To find solution of non homogeneous differential equation,  we use method of variation of…

Q: Given the vectorsA = (2,−4) and B = (−3, 6) in R². How many pairs of real numbers r and s satisfy…

A: System of linear equations

Q: A tank is full of water. Find the work (in ft-lb) required to pump the water out of the spout. Use…

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Q: How much do we need to invest as a lump sum at 2.4% compounded quarterly in order to have a total of…

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Q: . (D³ + 4D) y = 5e +3 cos 2x using MUC ; X

A: As per our guideline, we are supposed to solve only first question. Kindly repost other question as…

Q: F(x)=9+0.4x e0.4x

A: Given: Fx=9+0.4x-e0.4x To find the root using newton-raphson method.

Q: let mzl be any integer any integer and 1 (on) Mangolt fonction non- + we have ^(d) = beg(0) dlm

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Q: 12. Use Green's Theorem to convert the line integral ſy³dx+ :+3xydy in to area-integral where C is…

A: we have to find the value of line integral by changing it into area integral ∫Cy2dx+3xydy where C is…

Q: 10. Examine the tables below and answer the questions that follow. Table B Table A Year 0 1 2 3 4 5…

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Q: Write the system as a vector equation or matrix equation as indicated. Write the following system as…

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Q: 2. The state sales tax in Kansas is 6.5%. If the state tax on a purchased item is $2.38, what is…

A: Answer for this question is $39. The solution is below in the step 2 part.

Q: Suppose R is the region where |x| ≤ 1 and |y| ≤ 1. Let f(x,y) = x2 + y2 + x2y + 4. Find the global…

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Q: True or False? If -1 is an eigenvalue of a 3 × 3 matrix A with associated eigenvector 2 -2 13 X =…

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Q: Shonte graphs the parabola (y + 2)² (y + 2)² = −12 (x - 5). How does she proceed? Drag a value,…

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Q: What does a O(X2) function mean and what does it tell you? What does a o(x2) function mean and what…

A: The notation 'O' refers to big O notation, which is also called Landau's symbol. The notation 'o'…

Q: Use Green's Theorem to find the counterclockwise circulation and outward flux for the field F = (5x…

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Q: Consider F(x, y) = (y² − 2xy) i + (2xy — x²) j. (a) Show that F is a conservative vector field in…

A: the given vector field is F(x,y)=(y2-2xy)i+(2xy-x2)j we have to show that the vector field is…

Q: 17. Solve each quadratic equation by factoring or by using the quadratic formula. a) x²-17x = 18 b)…

A: We have to find the value of x using quadratic formula.

Q: Which of the following differential equation is associated to a solution definec y = 2cosh2x -…

A: We can find differential equations.

Q: Let L: R² R² be a linear transformation defined by 1 L ([]) = [2₂3] [] Which of the following is in…

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Q: How will you find the eigenvalues of a square matrix A? By finding the determinant of XI – A. O By…

A: Eigen values and eigen vectors