Given the homogeneous differential equation, (4D³-3D+1)y=0. The roots of the auxiliary are Om = -1,2 Om= +1 Om=1, -1/2, 1/2 Om 1,1/2,1/2 m=

Q: Identify the following equation without completing the square. 6y² - 4x + 2y +21=0 The graph of the…

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Q: X 16. Determine the equation of the tangent to the curve y=30* at the point with x-coordinate.

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Q: bounded by the following curves: y = x³/2, y = 8, x = 0, y = 0. Find the volume of the solid…

A: Given ,       y = x32 ,  y=8  ,  x= 0 , y=0.  From Shell method-     Since the revolution is around…

Q: Find the surface area of each figure. Complete parts (a) through (c) below. 6.5 cm 18 ft 1.5 cm 1.5…

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Q: - After finding the critical values of f(x, y) you compute D(x, y) = fxx fyy – fxyfyx and evaluate…

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Q: 2. Consider the fu Find all critica

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Q: Topic: Maxima-minima/optimization problems: Inverse trigonometric Functions Find the maximum and…

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Q: Solve the equation: 3*²-5x x = 3 x = 5 and x = -5 O x = -5 x = 3 and x = -5 || 27.

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Q: *√3+41² dt, find the derivative of h(x). J2x

A: Given query is to find the derivative.

Q: Include several decimals for accuracy when the problem is graded. - 1)" 200 nº.8 ∞ n=1 S4 = error

A: To solve the following series problem

Q: Below is the graph of y = x² + 5. I 30₁ M -4 -3 -2 -1 0 1 2 3 4 5 The area bounded by y = 1² + 5 and…

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Q: Find the sum of the first 30 terms of the sequence. 3, 12, 21, 30, ... S30

A: given  3,12,21,30,.....the difference between numbers is 9we know that sum of nth term of a.p. is…

Q: The area of the region inside r = 2 + cos and outside r = 4-3 cos is given by

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Q: 2 3 4 5 6 x) 5 6 3 2 9 (x) 4 -1 1 2 ompute -3 نه نه -2 2 7 3 O [ 5 f'(x) dx.

A: we will find the required.

Q: 09. C-1 28-1 $²-8-6 (e³ (t-1) + e-2(t-1)) u₁ (t) C. (e-3(t-1) + e²(t-1)) u, (t) <-8 e 0} (1) A. (t)…

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Q: Please only answer D

A: Solving part d

Q: $5,000 is invested for 5 years at 8% compounded quarterly, how much interest (in $) will be earned?…

A: Given query is to find the interest earned.

Q: 8) Let 1=₁dx, then: a) I converges to b) I converges to 12 c) / diverges d) None of the above

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Q: A farmer plans to fence a rectangular pasture adjacent to a river (see the figure below). The…

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Q: Find the angle co-terminal with O Ο Σπ 3 - 1/30 17π 2

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Q: 53. If oil leaks from a tank at a rate of r(t) gallons per minute at time t, what does 120 r(t) dt…

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Q: Solve the equation dy 2y² S 3ry

A: NOTE: Refresh your page if you can't see any equations. . compare this equation with  so here…

Q: Find the radius of convergence and interval of convergence of the series. n=0 (-2) ¹ 3n+1 -(x + 3)"…

A: NOTE: Refresh your page if you can't see any equations. . the given sequence is  substitute n+1…

Q: Find f such that f'(x) = 4x² + 3x - 4 and f(0) = 4. f(x) = C

A: Given f'(x)=4x²+3x-4 We know, ∫xndx= x(n+1)/(n+1) +C, C is a constant

Q: A population is modeled by the differential equation dP P d = 1.2P(1 - 2200) dt (a) For what values…

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Q: 2. What is the slope of the tangent to f(x)=√√x-1 at (5,2)? Show your work. a. 1 C. 2 4 b. 1 2 d. 4

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Q: 9. Use the comparison theorem to show that So L'√T- 10. Find √1 + x² dx ≤ Also show that ²√1 + x dx…

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Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

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Q: Consider the indefinite integral a) This can be transformed into a basic integral by letting U = du…

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Q: Given the geometric sequence: 22, Find an explicit formula for an, where the first term is a₁ an =…

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Q: what is the answer to d?

A: Please see the below picture for detailed solution.

Q: This answer is incorrect. Can you try again?

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Q: 10) The sequence b₁ = 8+cosn 8+√ a) Diverge b) Converge to 8 c) Converge to 0 d) None of the above…

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Q: 6- The first term of a geometric sequence is 24 and the third term is 6, find the fourth term and an…

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Q: Mary Toy borrowed $4,000 from her parents and repaid them $4,160 after 9 months. What simple…

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Q: Use cylindrical shells to find the volume of the solid obtained by rotating the region bounded on…

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Q: Sketch the graph of the following function and determine whether the function has any absolute…

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Q: The graph of one complete period of a cosine curve is given. y 3 f (a) Find the amplitude, period,…

A: We need to find equation of curve.

Q: Use area to evaluate the integral 7x • ! 0 dx = dx, b>0. ...

A: NOTE: Refresh your page if you can't see any equations. . the given function is  which is the…

Q: Use graphs to evaluate 2π S 0 sin x dx and 2π So 0 cos x dx.

A: The given integrals ∫02πsinx dx and ∫02πcosx dx. We have to find the value of the integrals using…

Q: (9)- ८ X+3 tran(x) d. y = √x ln (x)

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Q: Homeostasis refers to a state in which the nutrient content of a consumer is independent of the…

A: Givendydx = 1θyxwhere x and y are the nutrient θ = constant

Q: Evaluate. ellz Sellz dx = +C (ellz + 9)³ (Note that the constant of integration is already included)…

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Q: Find the area enclosed by  x=2cos(t) + cos(2t), y=2sin(t) - sin(2t) 0<t<2

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Q: Work of 1 Joules is done in stretching a spring from its natural length to 11 cm beyond its natural…

A: Given: Work done, W = 1 Joule Strech of the spring, x=11 cm = 0.11m   Now, The spring constant is…

Q: Determine the x-value of all critical points for the following function. x² x-3 f(x) = x² x-3 The…

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Q: Find the absolute maximum and minimum values of the following function on the given interval. Then…

A: We can evaluate the absolute maximum and absolute minimum value by using the concept of derivatives.

Q: 25) A) C) D) F) Suppose h(x) = f(x) g(x). Working with the values given in the tables shown at the…

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Q: the correct answer is b

A: Please see the below picture for detailed solution.

Q: U. Solve the given equation 1) sec x(2 sin x-√2)=0 T Answer: x==+2nk, 4 TT ak 3π x== +2 4

A: Given query is to find the solution of the expression.