[3 -2 21 The matrix A=0 -2 1 one of the eigen vector is (solve) Lo 0 11 250 Option 4 O [3] -2 -31 2 Option 1 O Option 2

Q: If then is equal to Select one: -2 2 -5 O 5 none of the others [²5(x) f(x)dx = 7 and f(x)dx = 2 ['se…

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Q: Write the partial fraction decomposition of the following rational expression. 3x² - 8x + 20 X(X +…

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Q: Evaluate the following integral. Sx12xdx x12*dx = (Type an exact answer. Use parentheses to clearly…

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Q: Given the curve of y=6-x² and y=x+4. Sketch the graph for -3<x<3. State the intersection points…

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Q: Evaluate [/3 cos(x) In (sin(x)) dx T1/6

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Q: Which proper integral would you use to help determine the convergence/ divergence of the series and…

A: Integral test of convergence:Consider an integer N and a function defined on the unbounded interval…

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A: The outcome where it's either three heads or three tails is HHH or TTT respectively.

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Q: H.W: Solve the differential equation y'− (1+x)(1+ y²) = 0

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Q: 1) Evaluate the following iterated integral. 2/2 sin(2y) SS dydx y 0x

A: Use change of order of integration.

Q: The number of people in a town of 65,000 who have heard an important news bulletin within t hours of…

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Q: Find the sum of the series or show that it diverge 4 (a) Σn=1(3+2 + 8n-2

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Q: Consider the double integral f(x,y)=(x²+y²)3/2 over the region R where y is bounded between 0 and…

A: Solution

Q: Eliminate the parameter t to find a Cartesian equation for: = t² X y = 2+5t The resulting equation…

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Q: Find the sum of the series: n=0 (-1) 16-2 (2n)!

A: Find the sum of the series (-1)n16n-2/(2n)! from n=0 to infinity.

Q: Consider the function f(x) = (4x² - 64) ³ on the interval [-7, 6]. Find the absolute extrema for the…

A: Given: f(x)=4x2-6415, -7,6

Q: H.W: show that the equations are homogeneous and solve: 1. (x + y)dy + (x−y)dx=0 2. x²dy + (y² -…

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Q: Three numbers are in the ratio 2:5:8. If their sum is 60, what is the smallest of these three…

A: Given three numbers are in the ratio 2:5:8. consider these three numbers are 2x,5x,8x. Also given…

Q: Sketch a graph of the function f(x) = - 2 sin(a)-1

A: Given: fx=-2sinπ2x-1

Q: The derivative of a^u with respect to x is

A: Aim:- To calculate : ddx(au)

Q: The plane containing the point (-7,-1,0) and parallel to the plane 5x + 8y – 2z Ax+By+ Cz = D. If A…

A: Given the plane containing the point (-7,-1,0) and parallel to the plane 5x+8y-2z=-5 has the…

Q: Question 2 Given the equation -5x² + 30x - 5y2 - 10y - 5z2 - 90z – 5z² 90z = 210 a) Show that the…

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Q: 3. (a) Solve the differential equation (x+1) ª¹ = y +e³(x+1)² . dx (b) Form the differential…

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Q: The intervals on which f(x) = x² ln x is increasing and decreasing, and the intervals of concavity…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: The functions fand g are defined as follows. f(x) = g(x) = X x +4 x-5 x²+x-30 For each function,…

A: As per guidelines we can answer only one question at a time, so if you need more answers kindly…

Q: Use the Midpoint Rule with n= 3 to approximate the integral. S √x + 1dx = [Please enter your answer…

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Q: Represent the function CO = Compute the first few coefficients of this power series: C1 = C2 || C3 =…

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Q: Let f(x) be a piecewise function. Evaluate So fl f(x) dx = = if x < 2 2x-3, if x ≥ 2 (3x²+2,

A: Topic = Integrate

Q: Consider a solid G, generated by rotating the region bounded by y = 2x² and y = 0 from would the…

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Q: The derivative of a^u with respect to x is a ln a du/dx (a^u) * du/dx ln a * du/dx (a^u) * ln a *…

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Q: Graph the function. n(x) = x -3 for-4<x<-2 for -2<x<4 -x² +16 for x ≥4

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Q: Question 2: A) Verify that y = c₁e-x + c₂e5x is a solution of the DE: y" - 4y - 5y = 0. B) Find a…

A: Topic = Differential equation

Q: Find the point at which the line r(t) y(t) z(t) = -6-7t 7+t - 54t intersects the z plane.

A: Let's find intersect points.

Q: Which of the following is a unit vector parallel to the vector ? Select one: 2 0 8 1 4 <- 81¹ 81¹…

A: Let's solve.

Q: Consider the point P(-2, 1, 4) and the vectors Question 2 a = and b =. (a) Find the unit vector u…

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Q: O Evaluate Je*+1 dx

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: Sketch the graph of a function that satisfies the following conditions

A: Given

Q: Convert (5,2) to rectangular coordinates:

A: Given problem:- Convert (5, π/6) to rectangular coordinates:

Q: Find the limit. (HINT: Treat the expression as a fraction whose denominator is 1 and rationalize the…

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Q: Evaluate the integral. [8 sin √xdx Ja sin √xdx= 8

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Q: an +1 Suppose that an Σ απ( – 16)" gar n=1 →1 as n → ∞. Find the radius of convergence.

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Q: Convert the rectangular coordinates to polar form (√8,√8) (4,5) (√2,72) Option 4 O (2,37) (4,5)…

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Q: A number is 8 more than another number. Twice the sum of the two numbers is 40. F numbers.

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Q: ① use First_principle to solve 강종 If y=45-35

A: According to the company rule we can answer only first question and rest can be reposted.

Q: Write the given expression as an algebraic expression in x. sin(2 tan-¹(x)) X

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Q: Question 1 a) [ the vectors U₁ = U₂ = Find the value(s) of y such that and are parallel. b) [ ]…

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Q: dt u = xy + y z tzx x = tcost, y = tsint, z=t at t = a 4

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Q: United Express, a national package delivery service, charges a base price for overnight delivery of…

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Q: At time t hours after taking the cough suppressant hydrocodone bitartrate, the amount, A, in mg,…

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Q: Let a = -27 +53 + 4k. Find a.

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