lim Ax-o+ 8 00 x + 4x Ax 1 8 X

Q: Find the general solution of the differential equation y^(4) + y''' + y'' = 0

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Q: Find the general solution of the given differential equation. dy dx +y=e4x y(x) = Give the largest…

A: We have,    dy/dx + y = e4x

Q: The position function of an object is given by s(t) = 16t², where s(t) is the height in feet and t…

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Q: Given u (2) = 6, u' (2) = 4, v(2) = −3, v' (2) = −5. Find d (u(x). dxv(x) Evaluated at x = 2.

A: Use the quotient rules of the derivative

Q: Use substitution and partial fractions to find the indefinite integral. (Remember to use absolute…

A: By using substitution and partial fractions to find the following indefinite integral. ∫sec2xtan2x+9…

Q: 3. Find the linear unbounded operator A and its domain D(A), and write the system in the form U₁ =…

A: We need to find the linear unbounded operator A and its domain D(A), and write the system in the…

Q: Question 12 O O Which of the following is equivalent to C ? 10 6 10 C 10 16 C 10 10 C 4

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Q: Consider the region bounded by the graphs of y = (a) Find the volume of the solid generated V = (b)…

A: According to question,Given Function,y = 2xx2+1

Q: Applying implicit differentiation, find the derivative of the function 1/x + 1/y = 1

A: Given :  1/x + 1/y = 1

Q: In Problems 1-5, let R be the region bounded by y=x² + 3, y = 2x, x = 0, and x = 4. Each problem…

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Q: 6. For f(x, y) = x²exy Find fx (2,1) {needs product rule}

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Q: 4. Determine the vertex of the parabola y 2 2x + 15x using Calculus.

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Q: The Seventh Gate As you approach the seventh gate, you notice that it is only a short distance to…

A: Given:  fx=2-62x To Find:  To determine the domain of the derivative of fx and  then to evaluate it…

Q: Consider the following vector function. r(t) = ( 26, 12², 1²) (a) Find the unit tangent and unit…

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Q: thank you for the explanation but i think you misunderstood me the exam is an mcq exam of 25 minutes…

A: Given integral,I=∫011(x-2)x2+2xdxWe need to find whether the given integral converges or diverges…

Q: X-25 (x-2) √√x²+2x Converges? Dieverges? dx AND WHY?

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Q: The owner of a skating rink rents the rink for parties at $540 if 30 or fewer skaters attend. For…

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Q: Consider two linear equations in two unknowns: a11x1 + a12x2 = b₁ a21x1 + a22x2 = b₂ which can be…

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Q: You are given the graph of y = |x + 11. -10-8-6-4-2 y 10 -10-8 -6-4-2 8 + 6 44 2 -2 -4 -6 -8 -10 10…

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Q: Solve for definite integral 5. " (x²-1) dx

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Q: Determine whether the improper integral diverges or converges. 3 √x(x + 5) 1.0⁰ dx

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Q: 1. Solve for x. Round your answer to two decimal places. 2x a) e = 12 4x-3 b) 12 = 3e c) en (2x+8) =…

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Q: What is the component form of resultant of 46 - 5ā? a = (1, -3) 6=(-1,2) Enter your answer by…

A: a=<1,-3>, b=<-1,2> Find 4b-5a

Q: (b) Evaluate [x² sin(x³) dx using substitution technique.

A: Substituting t as

Q: Consider the graph of the function f given below. f(x) I -2 4 B) If h(x) 2 0 -2 2 x 4 A) If g(x) =…

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Q: 2 F5V/² W

A: let f(w)=5w25

Q: Z O-14.8182 O-10.4091 -11.6250 O-12.6136 6 O-13.7159 10 -7 15 -11 f The function is continuous on…

A: Use formula of the area of trapezoid.

Q: 1. Use f(x) = −1+ [g(t)dt and the values below to answer the following questions. 1 g(0) = = g'(0) =…

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Q: The Fifth Gate After traversing your continuous path, you finally arrive at Gate 5. Your computer…

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Q: 1) Consider the function g(x, y) = ln(xy). a. Find the domain. b. Sketch a graph of the domain. c.…

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Q: 4. y=sin(3x) • cos(2x), y'=?

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

Q: Let M be a hermitian matrix. Fill in its missing entri- M = -3 -9 - 5i 1 - 2i -4 −6+2i 0

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Q: Determine arc length of the graph of the equation (y-1)3  = x2 where the interval is [9,11].

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Q: Use Lagrange multipliers to maximize the function f(x, y) subject to the constraint. (The maximum…

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Q: lim x →∞ lim x →∞ 77-3x+71 cx77-71 ax ax77-3x+71 cx74-71 ax74-3x+71 lim x →∞ cx77-71 = AY AY

A: we need to find the given limits

Q: What is the value of c > 0 that maximises the function h = ln(c) — ct, where t is a positive…

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Q: Decide whether the integral is improper. [In(x²) dx O proper O improper Explain your reasoning.…

A: The integral is  ∫1∞ ln(x9) dx

Q: Using the coffee demand function, Q = 8.56-p-0.4ps +0.1Y, show that sugar is a complement for…

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Q: If y(t) = -² -1 and a(0) = 1, then d(t) = -2t + 1. false true

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Q: Find the area of the region. y² = x²(1-x²) -2 2 o -2. 2 X

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Q: 1. 16 + x< X dx

A: ∫xndx=xn+1n+1+C ∫1xdx=lnx+C

Q: the scalar equation of the plane containing both the line of intersection of the planes defined by…

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Q: Select the basic integration formula you can use to find the indefinite integral. It cos(5t²) dt of…

A: The indefinite integral is ∫t cos5t2 dt

Q: Correct your answer as an integer or a simplified fraction. -3x+12=-x+2 in the answer box.

A: -3x+12=-x+2

Q: 15. lim x-0 17. lim t->0 19. lim x-0 √1 + 2x 5¹ - 3¹ t et 1 2 x² X X √1 4x

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Q: Solve the given differential equation by separation of variables. dy dx = e5x + 3y

A: We have to slove above differential equation by separation of variables

Q: The owner of a skating rink rents the rink for parties at $360 if 30 or fewer skaters attend. For…

A: Solving the problem

Q: 14. lim 818 (In x)² X

A: 14). limx→∞ln x2x

Q: 19.) Find the indicated of 0. exact value of the trigonometric function CSC =-9/8, is in quad III 7…

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Q: Let Σan (x+3)" n=0 denote the Taylor Series of 21 at the point x = −3. 2-x Then a5 =

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