Ex/l let fi [1₂1]-> R be function f(x) = 3 x70 2 x < 0 Is the function integrable and Continuous?

Q: Express the limit as a definite integral on the given interval. cos Xi lim Ax, [3π, 5π] 818 X₁ 5m 3m…

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Q: Find the unit tangent vector of the given curve. r(t) = (7t cos t-7 sin t)j + (7t sin t + 7 cos t) k…

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Q: 2 (1 – 3x)² C1 C2 C3 = C4 Find the radius of convergence R = Represent the function CO || ∞ as a…

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Q: Determine the solution of the following differential equations. a) y"- 6y'+ 9y = 0. b) 4y"- 12y'+…

A: According to our guidelines, we are supposed to answer only first three subparts.Kindly repost other…

Q: 19. (a) Evaluate the line integral F. dr, for F(x, y) = ex−¹ i + xy j and C is given by r(t) = t² i…

A: (a)F(x, y) = ex-1 i + xy j   And C: r(t) = t2i +t3j , 0≤t≤1.⇒drdt = 2t i + 3t2j and F(r(t)) = et2-1…

Q: 13. What is the class interval of the data below? Class Frequency 28-30 8 31-33 8 34-36 7 37-39 5…

A: Question no 13 Class  frequency  28 - 30 8 31 - 33 8 34 - 36 7 37 - 39 5 40 - 42 1…

Q: Choose the function that has the graph below. Hint: Look at where the vertical asymptote(s) and…

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Q: Express the function as the sum of a power series by first using partial fractions. f(x) =  8 x2 −…

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Q: 1 2 wi-1 + hf(ti, wi). What can you say about (c) Consider this multistep method: w₁+1=wi- its…

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Q: What is your 95% credible interval for the number of people who will be alive in the year 3000 CE…

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Q: . What is the coefficient of ?^4 when (3+4x^2)^3 is expanded?

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Q: Determine the eigenvalue X, eigenvector v, and generalized eigenvector w of the following matrix.…

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Q: Use Green's Theorem to find the work done by the force F(x, y) = x(x + y) i + xy² j in moving a…

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Q: Express the limit as a definite integral on the given interval. n lim [² cos Xi X₁ Ax, [3π, 5π] 318…

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Q: Suppose that f(x) and g(x) are given by the power series f(x) = 3 + 6x + 2x² + 2x³ +….. and g(x) =…

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Q: Use Newton's Method to approximate the zero(s) of the function. Continue the iterations until two…

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Q: MY NOTES ASK YOUR TEACHER Find the periodic payments PMT necessary to accumulate the given amount in…

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Q: The eigenvalues are A₁ < A₂ <3 < A4, where X₁ has an eigenvector eigenvector = A = -37 15 0 0 -70 28…

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Q: 277 Submissions Used MY NOTES Find the amount accumulated FV in the given annuity account. (Assume…

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Q: In Exercises 1-4, apply the Jacobi method to the given system of linear equations, using the initial…

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Q: H.w ☺ Sketch the Ⓒxsayd3dx @ O region of integration & evaluate the integral: B ر ولد * ؟؟ " -

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Q: 1. Find the solution for 2 - 2t+4y=0 with the initial conditions y(0) = 1, y'(0) = 0. (Hint: Try a…

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Q: State where the power series is centered. Σπ.χ. - Ο

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Q: Suppose A is a 1 x 7 matrix and is a 7 x 1 matrix. Select all that apply A+Bexists and is al x 7…

A: Given that A is a 1×7 matrix and B is a 7×1 matrix. Here, we will check which of the given options…

Q: Assume that the graph of y = f(x) consists of a semicircle of radius 2 and two line segments as…

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Q: Use Squeeze Theorem to evaluate lim x → to COS X loga x

A: To use squeeze theorem to evaluate the below limit. limx→∞cosxlogx2

Q: The demand and supply functions for a commodity are given below P: = e0.1q = 100 - D(q) = p = S(q) =…

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Q: 1. Find the general solution of the system of differential equations d -37 -56 26 -X = x+e4t ) dt 30…

A: Consider the given system of differential equation, ddtx=-37-563045x+e4t26-19 Compare with the…

Q: Given points P(4,2,-1), Q(2,-4,-1), T(4,3,4) forms the triangle. Find the unit vector that bisects…

A: We will first find the unit vectors along line QP &amp; QT. So that the resultant vector which is…

Q: 176 Submissions Used MY NOTES Calculate the present value PV (in dollars) of an investment that will…

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Q: . Find the area of the region enclosed the curve x = a cos³ t, y = a sin³ t. ya a a -a 0 ·a

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Q: f(x,y) = 3 a) what is the range of f? b) sketch the f for K = 0₁1₁2 c) Sketch the graph of f. x² +…

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Q: Use the following binomial series formula to obtain the MacLaurin series for (a) - (1+x)6 k=0 (b) √…

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Q: The Temperature Tat any Find the heighest temperature x² + y² +2²=1. point in space T=400xyz on the…

A: Given,T(x,y,z) = 400xyz2 subjected to g(x, y, z) =x2+y2+z2-1 = 0

Q: Find the unit tangent vector of the given curve. r(t) = (7t cost-7 sin t)j + (7t sint + 7 cos t) k…

A: The given question is related with unit tangent vector. Given that,               rt = 7t cost - 7…

Q: In Exercises 1-4, apply the Jacobi method to the given system of linear equations, using the initial…

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Q: Consider the polar curves C₁: r=1+ cos@ and C₂: r=2cos, and let R be the shaded region as shown…

A: Here, we are given the polar curves C1 : r=1+cos θ and C2 : r=2 cos θ, and let R be the shaded…

Q: (a). ker() ◄ G. (b). H≤G⇒(H) ≤ y(G). (c). H'G'⇒-¹(H') ≤G. Ali

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Q: In Exercises 1-4, apply the Jacobi method to the given system of linear equations, using the initial…

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Q: Use spherical coordinates to evaluate the triple integral e-(x² + y² +2²) J dV, x √2² + y² + 2² E…

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Q: Express the limit as a definite integral on the given interval. cos Xi lim Ax, [3π, 5π] 818 5m 3m dx

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Q: Let V be the vector space of all 3 × 3 matrices with real entries, and consider the linear…

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Q: Question 6 Consider the following system ax - bay, -cy + dry, y = where a, b, c and d are strictly…

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Q: For what values of p is the series convergent? Answer (in interval notation): (Inn) Σ(-1) -1. n² n=2

A: Integral test, for series is converges

Q: Use spherical coordinates to evaluate the triple integral x² + y² + z² dV, where E is the ball: x² +…

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Q: Evaluate. [5x-31 X dx

A: To evaluate the integration of (5x-3)/(x^2-x)

Q: The end x = 0 of a semi-infinite string is fixed and its initial velocity is zero. Its initial…

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Q: Find the volume of the solid that results when the region enclosed by the given curves is revolved…

A: Given the region enclosed by the curves x=cosecy, y=17π4, y=19π4, x=0 is revolved about the y-axis.

Q: 1) Solve the right isosceles triangle, with longest side c = 1, A) in the Euclidean plane B) on the…

A: To solve the right isosceles triangle with longest side c=1 in the Euclidean plane. Since, in the…

Q: 4. Repeat Exercise 1 for -[- A = 7 -2 1 6 4 ]-[#] 12 7 18 -2 1 10-2 -2

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