Solve the differential equation using the initial condition x(0) =x,- x(t) =(Type an expression.) (Туре

Q: 1) Find the slope of the line tangent to the curve y = sin x at the point where x=r/3

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Q: PROBLEM SOLVING. Show ALL pertinent solutions. Tabulate data of iteration after the solution. 1. Fin...

A: Here given 3x + sin(x) - ex = 0Let  f(x) = 3x + sin(x) - ex ∴ f′(x) = 3 + cos(x) - exx0 = 2.5

Q: Given the function fAx) =x cosx. Use the centered-divided-difference formula f '(x) = 7& +h)-{x = h)...

A: Given fx=xcosx. The derivative of f(x) is f'x=-xsinx+cosx. The actual value at x=π3 is  f'π3=-π3sinπ...

Q: Determine if the function satisfy the Cauchy-Riemann equations. 1. f(z) = z? 2. f(z) = cos (z) 3. f(...

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Q: 1+1-3-32 =

A: Given expression is 1+1-3-32. We have to simplify the given expression. Now, 1+1-3-32=2-35=-33 Hence...

Q: QI.a) In R",the circular cylinder x+y= 36 is intersected by the plane y +z= 6. find a vector valued ...

A: Q.1 (a) we have given that in R3 the right circular cylinder x2+y2=36 by the plane y + z=6  we have ...

Q: In a certain British Company, the basic pay of a mechanical engineer as sales engineer if £ 52 per w...

A: Given: Basic pay of sales engineer is Z52 per week. 112% commision on sales over Z3500 3% commission...

Q: Find the harmonic conjugate of the following. 10. х2-y2+y

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Q: A wire has the circular cross-section B := {(x, y) E R2 : x2 + y2 s R2}. Calculate the torsional res...

A: A double integral involves the integral with respect to the product of two variables. In this proble...

Q: sin(In x) 0+ In(sin x) Use Squeeze Theorem to evaluate lim

A: Solution:-

Q: Mahal of Winnipeg, Manitoba, bought a ring for $6400. Since the jeweler is shipping the ring, she mu...

A: The expression: x% of y is same as the expression: x100×y.

Q: Six pairs of shoe cost as much as 1 coat, 2 pairs of jeans cost as much as 3 pairs of shoes, and 4 p...

A: It is given that the cost of 1 coat is equal to 6 pairs of shoes, the cost of 2 pairs of jeans is eq...

Q: What is 0.849 rounded to 1 significant figure?

A: The method of rounding of to a significant figure can be done to any kind of numbers regardless of i...

Q: The new area of a square lot if the original length is increase d by 5 units

A: The area, A of a square is calculated by formula: A=a2 where a is the length of the side.

Q: Decimals and percent are also fraction in other forms. FALSE TRUE O O

A: To check if decimals  and percent are  also fraction in other forms.

Q: Find the harmonic conjugate of the following. 9. ex*-у* cos (2ху)

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Q: 5. Find the centroid of the solid formed by revolving the area between the curves: y? = x and y = 2 ...

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Q: 2. The differential equation x (x - 2)?y" + 3(x – 2)y' + y = 0, has the singular points at x = 0 and...

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Q: Solve the following initial value problem. x*y" + 5xy' + 20y = 0, y(1) = 3, y'(1) = 10

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Q: 8. Use the Regula Falsi method to find the solutions to the equation e-2* + 4x² – 36 = 0. (two possi...

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Q: Given a period function f(x) with a period p = 4, -2 < x<-1 f(x) -1 <x <+1 0, +1<x < +2 (a) Draw a g...

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Q: Find a particular solution to the following differential equation using the method of variation of p...

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Q: Carry out the subtraction shown using base-five notation and show that your answer is correct in dec...

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Q: 2. Given the in tercepts:(0,-15) and (5,0)

A: The given points represent that the line cuts 15 units intercepts on the negative axis and 5 units i...

Q: 2x3+x2-1=0 have one real root. Find the solution between points (0,1) using MOSS and Newton Raphson ...

A:  Given the equation fx=2x3+x2-1=0 has one real root in the interval 0,1. We will use the method of s...

Q: Let e be a positive real number. Prove or disprove that n E N(n²+e).

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Q: b. Recall that f(x) = 2*-1 -1. Graph of f(x) = f(-x) + 2, f,(x) = f(-x+1) + 1, and f(x) = fi(x) + f2...

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Q: Consider the following equation: b. Determine the range of optimality for the coefficients of the ob...

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Q: 3. A bag contains 8 red, 6 blue and 4 green marbles. In how many ways can these drawn be made: a. 6 ...

A: The word combination is required when there are no order fro selection. The total number of marbles ...

Q: For numbers 16 – 20: Let y = x In x. In finding y'(x) using numerical differentiation with x, = 2,h ...

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Q: every rational number is a decimal true or false?

A: We know that rational numbers are of the form of terminating and repeating decimals whereas irration...

Q: A thick spherical shell occupies the region between two spheres of radii a and 2a, both centred on t...

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Q: A. For the following primitives, identify the number of essential constants. (x and y are the variab...

A: For the following primitives , identify the number of essential constants :-

Q: Consider the following elements of S7 4 5 6 7 7 3 2 4 1 1 2 3 4 5 6 7 1 2 3 α 5 6 2 1 4 7 3 6 5 (a) ...

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Q: Each one - Ann, Enya, Alvin, and Johnny have different favorite color among red, blue, green, and or...

A: Introduction: Sitting arrangement or item arrangement is a tricky part of mathematics. Based upon th...

Q: +y-9y-0 (0)-1 V(0)-0

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Q: 13 Find NK. 14 Find mMK. Use the circle below for questions 13-16. 15 15 Find JK. 16. Find mJPK. © G...

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Q: raiza, florence and jeene are teenagers. the product of their ages, in years, is 4590. none of them ...

A: Let x be the age of Raiza, y be the age of Florence and z be the age of Jeene. It is given that the ...

Q: Compute the determinant using a cofactor expansion across the first row. Also compute the determinan...

A: We have to find the correct option from the given multiple options.

Q: Consider the function f(x,y) = 2x2 - 4x – xy² + 2y² = 3. %3D (a) Find the first-order and second-ord...

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Q: Let A and B be sets. The union of A and B is A U B = {x|x € A V x € B}. The intersection of A and B ...

A: Let  A  and  B are two sets. We need to prove that ,  A ∪ B = A ∩ B¯. We know the property that , if...

Q: Determine the Fourier coefficients and represent the periodic function as shown by a Fourier series.

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Q: Fill in the blanks: (a) C.P. = 400, Profit per cent = 15% %3D %3D (b) C.P. = 300, Loss per cent = 25...

A: a Given CP=400 and Profit per cent=15% We have to find the profit. The formula for the profit is giv...

Q: For n∈N we define the set Z_n={1,2,…,n-1}   and on this set we define the modular product as follows...

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Q: Find any relative extrema of the function. List each extremum along with the x-value at which it occ...

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Q: f (x) = 5e0.5x 1. Given at X 2 find the relative approximate error using value from h = 0.25 and h =...

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Q: Determine of the equation below satisfies Cauchy-Riemann's Equation. f(z) = cos?(z),where z = x + yi

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Q: 3. a) Find the percentage error in computing u = vx at x = 2.45, when x is 4 b) If Ax = 0.005, Ay = ...

A: We will use basic concept of errors here. 

Q: 1. Prove that a bounded divergent sequence has two subsequences converging to dif- ferent limits.

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Q: Let z (х, у). Show that z- 2' 2 X + y -

A: We have to find the multiplicative inverse of z.