Resonance is not a phenomenon

Q: Use the information to find and compare Ay and dy. (Round your answers to three decimal places.) y =…

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Q: Find the area of the region under the curve for the given interval. y=x²+x-6 on [1,4]

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Q: Find the value of d²y/dx² at the point defined by the given value of t. x = csc t, y = 2 cott, t = ○…

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Q: Give the properties for the equation x 2 +y 2 + 4x + 6y - 12 = 0 Radius 5 2√3 4

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Q: Write TRUE if the statement is correct, otherwise write FALSE. y y = h'(x) (-3,0) (3,0) x (0, -1)…

A: To write TRUE if the statement is correct, otherwise to write FALSE. Suppose that hx is continuous…

Q: 2. Let f(x)=√(2-x)². Use the local linear approximation of f(x) at xo = 1 to estimate √0.99 (1.01)².

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Q: dx secx+1

A: First simply the equation Using Trigonometric identities.

Q: Ex: Solve the DE x²y"-5xy' +9y=0

A: To find the solution of the given differential equation.

Q: 7- Differentiate Y= f(g(x4)) h³(√x)

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Q: Part a) Plot the point given in polar coordinates. (-3, 2pi/3) Part b) Find three additional polar…

A: answer is in next step

Q: Find an equation for the line tangent to the curve at the point defined by the given value of t.…

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Q: if f(X)= SINX+2X+1 and g is the inverse function of f, what is the value of g'(1) ?

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Q: 4- Suppose that you can learn N(t)= 64t - t³ words of a new language after 1 hours of study time. a-…

A: We have to find the rate in words per hour.

Q: f(x,y) = 3x-2y. R÷ the circle x² + y² = 1

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Q: Find tan (θ) given that sin (θ) = 1/3 and θ is in quadrant II.

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Q: Find the value of x + y, if 1. 4 2. 1 3. -3 4 6 [2x 7 5 -y = [8 7 3 D

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Q: 27 If (2x 3) [133] [3] 3] -3 23 1. 2 13 2 2 3. 13 2 23 2 - 0, then the value of x is

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Q: Evaluat the integral:- 푼 is S. sec (cosx) dx dy D Sin y

A: Here, to evaluate: ∫01∫sin-1yπ2sec2(cos x) dx dy So, the region of integration is bounded by the…

Q: Match the function with one of the graphs below using horizontal asymptotes as an aid. 0.5- के 2…

A: Solved below

Q: 3. x dy + 6y = 3xyi dx

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Q: 12. -s-7 (s+1)(S-2)

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Q: 2. y = tan-¹(cosh x) (sin² x) (sech x) secx [use logarithmic differentiation]

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Q: Convert the rectangular equation to polar form. xy=14

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Q: An air traffic controller spots two airplanes at the same altitude converging to a point as they fly…

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Q: 3x

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Q: Find an equation for the parabola that has its vertex at the origin and satisfies the given…

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Q: Integrating Factor by Linear Equations: 9. +xcoty ecosy =

A: Given that a differential equations and we solve this differential equation by using integrating…

Q: V. Given: -2, if x ≤2 f(x)-[2x-5]. if 2 3 1. Determine if f is continuous or discontinuous at z=2…

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Q: d³y_d²y_dy + y = 0 dx³ dx² dx

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Q: Find the domain and range of the function graphed below. 5+ 3 -5 -4 -3 2 1 2 3 4 5 Domain: Range: ON…

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Q: Show that the differential equation xºy7 + x(1+yº)y' = 0 is not exact, but becomes exact when…

A: Take the partial derivative of coefficient of dx and dy to show that the given differential equation…

Q: An irrigation channel is constructed by bending a sheet of metal that is 3 m wide, as shown in the…

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Q: Show that the lines L₁ : x = 4-t, y = 2t, z = 1+ t and L₂ : x = 1 + 2t, y = 3 - 4t, z = 5 – 2t are…

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Q: A fence is to be built to enclose a rectangular area of 240 square feet. The fence along three sides…

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Q: Find the derivative of the function by the limit process. g(t) = t³ +7t g'(t) =

A: We have to find derivative

Q: Solve the DE ý - y = x

A: See the details solution in below

Q: Integrating 1. y' + y = x+ Factor by Linear Equations:

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Q: 4. The integration da can be solved by using the 2+-2 ³+1 ♦ (Choose the correct letter). ²+2-2 A…

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Q: Suppose f is continuous everywhere, f’ is differetiable everywhere except at x = -1, and the graph…

A: Suppose f is continuous everywhere, f’ is differetiable everywhere except at x = -1, and the graph…

Q: Integrating Factor by Inspection: 5. (xy-2y²)dx - (x²-3xy)dy = 0

A: (xy-2y2)dx-(x2-3xy) dy=0x(y dx-x dy)-2y2 dx +3xy dy=0dividing by xy2;(ydx-x dy)y2-2x dx +3y…

Q: Use Squeeze Theorem to evaluate lim X→+∞ cos (x) log ₁/2 (x)

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Q: Find the value of the derivative (if it exists) at the indicated extremum. (If an answer does not…

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Q: Find R and the Interval of Convergence o (-1)" (x)" 272

A: Given problem:-

Q: f(x,y) = 3x-2y R: the circle x² + y²

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Q: Find the limit. lim → 2 (1 i=4j+ 1² k) i. lim 1-2(ti-4 j+¹² k) = + j+ k

A: evaluate the limit component wise

Q: Find an equation for the conic that satisfies the given conditions. parabola, focus (5, -3), vertex…

A: The general form of the parabola is given by: y=a(x-h)2+k...(1) where (h,k( is the vertex of the…

Q: 1. lim x→-1 2. lim x →-00 1+ x 2x²+x-1 :-√√x² √√x² + x x- 2 x - x

A: Given:     limx→ -11+1x32x2+x-1

Q: Replace the polar equation r. sin (0+ 1 (0+²) = 2 to Cartesian equation

A: See the details solution in below

Q: Find the nth Taylor polynomial centered at c. f(x) = ln(x), n = 4, c = 6 P4(x) = X

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Q: For the graph below, the concavity switches at x = +1.7 and 0 and there are critical points at x =…

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