Q1) Find the average value of the area Ander the curve ( y= 1-x).

Q: 5)(cos.x + 3x*y}dx+(x* - y³ kdy ifadesinin tam diferansiyel olup olmadığını gösteriniz. Tam diferans...

A: The given differential equation is:cosx+3x2ydx+x3-y2dy=0         ..........(1)which is of the form M...

Q: 少 -x?+4x° ; y(1)=2 dy Xy+ dx

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Q: O which of the following series converges? (2h)! a) E Σ I- e c) E al) E 2+ Sinno n2 + Sinnt e) none ...

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Q: Let (X, F, m) be a probability space. Suppose for every A E F, if m(A) > 0, then there exists BEF su...

A: Please find the answer in next step

Q: 2. Use the following box plot on TV time per night (in minutes) to answer this question: What is the...

A: Observe the graph to find the number of number of minutes which is spent by middle 50% students on T...

Q: 3. p + y = ty dt dy 2ty(y – 1) dt 6. 3(1 + ²) %3D

A: Given 3 t2dydt+y2=ty6 31+t2dydt=2tyy3-1

Q: Let f: X → Y and g : Y → Z be functions. (a) Show that if g of is one-to-one (or "injective"), then ...

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Q: f(z): f(z)

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Q: Evaluate: 2

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Q: QUESTION 12 Symbolize the following argument using the variables p, q, and r. Then construct a compl...

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Q: QUESTION 18 Consider the following circuit: AND NOT AND Q OR R (a) Find the output from the boolean ...

A: Given circuit is Output , passing from different gates will be

Q: Let ƒ be differentiable on R. Suppose that f'(x) # 0 for every 2. Prove that ƒ has at most one real ...

A: Given that  f be differentiable on ℝ and f'(x)≠0 for every x. We want to prove that f has at most on...

Q: Four coins are tossed. Let Y be the random variable representing the number of tails that occur. fin...

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Q: By using the formula u(x)= e' R(*)dx 1 OM ON or 3. where R(x)= N Oy µ(v) = eRO with R(): 1 ÔN_ÔM Fin...

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Q: Q1. Find the limit of the function if it exists x² + y² – 2xy lim (x.y)-(0,0) у3 — х3

A: We have to check whether the limx,y→0,0x2+y2−2xyy3−x3 exists or not. Convert the polar coordinates L...

Q: What is the exponential form of the complex number 4 + 3i A) 5eba, 13 B) 5ebs,a7e © 7e5z, 12 D 7e b6...

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Q: Determining Whether a Set Is a Basis In Exercises 47–50, determine whether S is a basis for P3. 48. ...

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Q: Solve the following differential equations: dy +x dx

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Q: Find the Green's function G(t,t') for each of the following problems. A. * + 9x + 20x = k(t), x(0) =...

A: Given: (A.) x..+9x.+20x=kt,  x.0=x0=0 (B.) x..+4x.+4x=kt,  x.0=x0=0   To find: The Green's function ...

Q: v) Fimd Find y as a function of t if 4y" + 36y' + 83y = 0, y(0) = 4, y' (0) = 8. y = Note: This prob...

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Q: 37. Let V be the set of all positive real numbers. Determine whether V is a vector space with the op...

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Q: 34. S- (1, 1, 1), (2. 2, 2). (3, 3, 3) 34

A: Linear dependence and independence

Q: Given the lateral surface area of a right circular cylinder which is 54n cm² and its height is 9 cm,...

A: The lateral surface area is given as 54π cm2 and height h is given as 9 cm. The lateral surface area...

Q: Solve the following differential equations: dy y%3D =Vx² +y² . dx

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Q: 12 7 3 22 For 1 5 2 7 -11 || X3 1 7 and using [x, x, x3]=[1 2 1] as the initial guess, give the - 2 ...

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Q: QUESTION 2 Elaine rolls a 20-sided die a total of 7 times. Her results are given below: answe' in wa...

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Q: Determining Whether a Set Is a Basis In Exercises 51 and 52, determine whether S is a basis for M2 2...

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Q: 3. Is (A, R) a partial order, a strict order, or neither if A is the set of all the students enrolle...

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Q: For -1<t<0, find y(t) given x(t) and h(t): x(t) 05 -05 05 15 25 35 h(t) 0.5 -05 0.5

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Q: Provethat amapping from a metric SpaceXto metri'c space X is con tinuors i fand pnly if the inverse ...

A: Given: A function f:X→χ is a continuous , if and only if f-1(C) is a closed subset of X whenever C i...

Q: A9 A:r. to move from (270,250) to (270,100), we will write 40,250 270,250 40,100 270,100 @0,150 O @1...

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Q: a) 2x? + 3x + 5 = 0 -4 b) 4 and 2j13 :9 c) 4t? - 5t + 7 = 0

A: (a). Given expression is 2x2 + 3x + 5 = 0⇒ x = -3±9-404       = -3 ± -314       = -34 + 314j  ,  -34...

Q: Problem 1 47 4 Plot the point (cos - ). sin on the unit circle. 3 3

A: cos4π3=cosπ+π3=-cosπ3=-32sin4π3=-sinπ3=-12 Now, we will plot -32,-12=-0.866,-0.5  

Q: Find the determinant by row reduction to echelon form.

A: Given,          -5-55-6-55-235

Q: This statement is false Is it true or false?

A: Given statement  This statement is false .

Q: Find the supremum and infimum of the set {r € R[10/T – 1 > 0}, if they exist. If they exist, provide...

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Q: 5. Evaluate triple integral Szr? sin e dz dr d0.

A: We know that,∫sinxdx=-cosx∫xndx=xn+1n+1The given integral is:∫0π2∫01∫02zr2sinθdzdrdθ=∫0π2∫01z2202r2s...

Q: 1. Consider the following system of linear equations: T1 + kx2 = 2 kai + x2 + 3 = 1 x1 + x2 + x3 = k...

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Q: Evaluate the triple integral: -In y (z) dzdydx A. In 4 + 13/6 C. 13/6 - In 4

A: Note:- In this problem, option is not correct. If we take f(x, y, z)=1 instead of z then option (4) ...

Q: Solve the equation (4y + 2x – 5 dx + (6 y + 4x – 1 dy = 0 subject to the initial condition y(-1)= 2....

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Q: Draw a direction field for the differential equation y' = -y(3 – y). Based on the direction field, d...

A: Given differential equation is y'=-y3-y

Q: k+1 Suppose (ar) is monotone decreasing and ap → 0. Set sn = >(-1)*+'ak. Show that the subsequence k...

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Q: - Find the roots of the following complex nos. 3. %3D 3. Z =\ Z-27-0 %3D 3. |

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Q: Linear Combinations In Exercises 5-8, for the matrices A = [: and -: -1 В in M23, determine whether ...

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Q: Determine if the following argument is valid or invalid. State if valid or invalid and the the law o...

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Q: irst and la= 2] 2 then X

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Q: Explain the process of Gauss Jacobi, Gauss Saidel, Bisection, Regula - Falci, Newton's Rapson Method...

A: Gauss Jacobi Method: Gauss Jacobi method is used to solve system of linear equation which consist of...

Q: Solve the following  inverse trigonometric and hyperbolic complex numbers in their rectangular form....

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Q: ix A = 2 1.

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Q: 3. Old McDonald has a farm with 30 chickens. The chickens comprise 60% of his farm, and the rest of ...

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