التاريخ الموضوع Find The approximate value of f(x) at X=1-2 whereof is defined over The period 1.7] Thus; Xi I 3 4 6 7 fi 2 lo 15 8 12

Q: 33. Find the surface area of the portion of the curve x²+y²4 from x₁=0 to x-2 when it is revolved…

A: The surface area of a sphere: A is calculated using the formula: A=4πr2, where r is the radius of…

Q: -15 -10 -5 0 -10- 15 --20 5

A: The slope-intercept form of the equation of straight line is y=mx+b, where m is the slope and b is…

Q: 8. Express the given function using unit step functions and compute its Laplace transform y=sint A 1…

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Q: (a) Given the vector field F = xy + 2yzý + 3zx 2, calculate the line integral around the closed path…

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Q: A movie stuntman receives an annual salary of $120,000, but becomes a quadriplegic after jumping…

A: Introduction: The formula for the future value of the annuity is FV=P×(1+r)n-1r . The formula for…

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Q: Suppose (2)= 1, and suppose f and g are positive measurable Prove that functions on such that fg ≥…

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Q: II. Read each problem carefully and present an algorithm with the required running-time to solve…

A: Given: Directed acyclic graphs To find: Algorithm

Q: 1. Determine vector and parametric equations of the plane that contains the points A(1, 2, -1), B(2,…

A: Since you have posted multiple questions. we will solve first question only due to the bartleby…

Q: 1. For each of the following graphs, state i. the intervals where the function is increasing ii. the…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Laura and Sarah see a promotional blimp flying at an altitude, h. Their measurements are shown in…

A: Using the Law of Sines, it can be written that: asinA=bsinB=csinC. For a right triangle, using the…

Q: Assume that is a continuous real function on (a, b) such that φ √(x+³) <; p(x) + 3 p(y) for all x…

A: If the line segment connecting any two points on the graph of a real-valued function does not lie…

Q: Use three-point midpoint formula to evaluate the first derivative of y = x² + 4x − 5 at x = 0 using…

A: The given problem is to find the first derivative of the given function at x=0 with given h value by…

Q: Use one of the two comparison tests to determine whether the series converges or diverges. n²-1 7n5…

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A: Introduction: The products of the segments of two chords intersecting inside a circle are equal.…

Q: Obtain the 4th term of the power series of COS(x) for a value of x = 4.91.

A: Let us solve the given problem in the next step.

Q: Specify singular Points (Singular type and its order if necessary) f(2) √2² +1 2 1+22

A: A complex number is represented as z=x+ιy and a complex function is a function of z. We can write a…

Q: 5) Find the inverse of the function f(x) = (x − 3)² + 2, x ≥ 2. Also write out the check. Then graph…

A: Given f(x)=(x-3)2+2, x≥2   To Find: the Inverse of the function f(x) and the graph both the function…

Q: Evaluate C6 and 7P7. (If necessary, consult a list of formulas.) ₂% = C. 11 0 7³₁= 0

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Q: 1. Use combinations to find the coefficient for row 10, term 6 in Pascal's Triangle. Show your work…

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Q: A) Evaluate: (1) ܪܪܘJ« */20 2 29 COS dydx (2) ]] ev dydx (3) Cos

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Q: Solve the following boundary value problem: 1 0 u Hu 1ди + ar2 r ar + r20Ф2 =0, 0<r < 3, -n < ф<n,…

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Q: xo X1 X2 X3 Given the data set and the polynomials ỹo (x), ₁(x), ₂(x) Yo Y1 Y2 Y3 comprising the…

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Q: Suppose (2) = 1, and suppose f and g are positive measurable Prove that functions on 2 such that fg…

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Q: 1 Fig. 8 shows a sketch of part of the curve y=x sin 2x, where x is in radians. The curve crosses…

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Q: 3) using polar coordinates. Find the value of the binary integral: e) dA. Good Luck **

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Q: Let X be a Banach space and T E B(X) an operator with ||T|| € (T). Show that || id +T|| = 1+ ||T||.

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Q: Solve the following system: x₁ (t) = −x₁ (t) + 2x2 (t) + 2x3 (t) — 2 x' (t) = 2x₁ (t) + 2x2 (t) +…

A: We solve by eigenvalues and eigenvector method.

Q: Evaluate: √ye dx By using Gamma function. is

A: I have given the answer in the next step. Hope you understand that

Q: Given the Stratonovich SDE; ddX+ = 2dt + X³+(t).dW₁ write the equivalence in Ito SDE

A: Our given equation is: dXt=2dt+Xt3(t)∘dWt A Stratonovich process  dXt=fXt,tdt+σXt,t∘dWt can be…

Q: Keren must work at least 18 hours a week to supplement her income while attending school. She has…

A: Given: It is given that Mike must work at least 8 hours a week.  In store 1, he can work between 5…

Q: 4) Find the value of a for which the limit lim x→0 evaluate the limit. sin(ax)-sinx-x x3 is finite…

A: To Find: The value of a for which the limit limx→0sin(ax)-sin(x)-xx3 is finite and then evaluate the…

Q: -, do the simultaneo 1, 4x+6y= A have

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Q: The eigenvalues of the coefficient matrix can be found by inspection or factoring. Apply the…

A: Given system is x1'=6x1+5x2+5x3, x2'=-7x1-6x2-5x3, x3'=7x1+7x2+6x3   To Find: Eigenvalues and then…

Q: olution of th + 4y =

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Q: 3. If x is uncountable, then prove that A = {ECX: ECX: algebra O X: E is countable or E² is…

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Q: The gradient of the function 2x1 + x2 - 3 evaluated in x = (0 0 0) is: OA. Vf=(1 2 3)T OB. Vf=(0 0…

A: Solution:

Q: Help the builders determine the longest piece of lumber that can be carried around a turn…

A: Using the Pythagorean theorem, it can be written that: h2=p2+b2, where h is the hypotenuse, p is the…

Q: 20. Prove the following identity. Use proper form. sin (-x) cosx= sin2x_1 3.1 cot (-x)

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Q: Find the explicit solution of the initial value problem, x+y = x² ln(x) y² where y(1) = 2 and x > 0.…

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Q: 3. Approximate the solution to the partial differential equation a²u ²u 5л 0x2 (x, y) + dyz (x, y) —…

A: Given: ∂2u∂x2x,y+∂2u∂y2x,y-12.5π2ux,y=-25π2sin5π2xsin5π2y To find: Dirichlet boundary condition

Q: 3) Let r1(t) = and r2(t) = be two skew lines. Find the equation of the plane which lies exactly…

A: Given: Skew lines r1(t)→=t, t+2, 2t and r2(t)→=t+1, 2t+1, t+1 To find: Equation of plane which lies…

Q: If A = [0, 2π] and A is measurable, prove that lim cos nx dx = lim [₁ sin nx dx = 0. n-∞ JA

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Q: 5. Differentiate each of the following functions: a) (x+1)³(x-2)4 b) In x+1

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Q: m=120 income = 2* →> x₁ good I \p₁₂ = 3€ →→x₂ good 2 3/5 U (X₁, X₂) = x, 2/5x₂3 Price P au Sollution…

A: For this we already have equation as : 3p1x1=2p2x2  -----(1)and p1x1+p2x2=m------(2)

Q: Determine the number k so that the system of equations does not have an unambiguous solution. Solve…

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Q: Use the accompanying tables of Laplace transforms and properties of Laplace transforms to find the…

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Q: Find the Laplace transform Y(s) of the solution y(t) of the initial value problem y"+4y'+20y=f(t),…

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Q: Find the standard matrices A and A' for T = T₂ ° T₁ and T' = T₁ ° T₂. T₁: R² - R², T₁(x, y) = (x -…

A: Given T1:ℝ2→ℝ2 by T1(x, y)=(x-2y, 2x+3y), T2:ℝ2→ℝ2, T2(x, y)=(0, x)   To Find: The standard matrices…