(D³ + D)²y = 0

Q: 1. Evaluate the following limits. L'Hopital's rule is NOT allowed |2x - 1| tan-¹(¹) 2x - 1 . lim…

A: LetL=limx→ 0-2x-1tan-11x2x-12x-1 is negative when x→ 0-.  Therefore 2x-1=-(2x-1)L=limx→…

Q: Find the laplace transform of f(t)= t²e³t sin 4t OF (s) OF (s) = OF (s) = OF (s) = OF (s): - OF (s)…

A: This question is related to Laplace transform, we will solve it using given information.

Q: Consider the vector Field 7 and the curve C below. F(x,y) = (3 +4 ху?) 1 + 4x²yј, C is the arc of…

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Q: Problem 4 For x,y,z E R 5x +y Given: 2x - 2y 3x +3y and xyz = -48. Find: S = x+y+z +z = 0 +2z = 0…

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

A: Solved below

Q: Evaluate the double integral ₁+² (y + 2x) dy dx p1+z² -1/2 O 0.0892 0.0888 O 0.0982 0.0999 0.0882

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Q: Find fa, fy, and fz. f(x, y, z) = 5z ln(x³y³ cos(z)) fx = fy fz f₂ = =

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Q: 1. Identify the equations of all the linear asymptotes of f.

A: There are three different types of asymptotes for a function fx: (i) Horizontal asymptote: If we…

Q: d d. Calculate[r₁(t) · r2(t)] and [r₁(t) × r²(t)] first by differentiating dt the product directly…

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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: Solve the following differential equations of y"+7y' +10y=2e³x

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Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

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Q: The conic section whose equation is x2 - 3y2 - 8x + 12y + 16 = 0, is ______. centered on the origin…

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Q: Suppose that a function f(x) satisfies the following properties, together with the table of signs…

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Q: Find the curvature and the radius of curvature at the stated point. π r(t) = 10…

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Q: 12 Give the properties for the equation 9x 2 + 16y 2 - 36x + 96y + 36 = 0 Domain -6 ≤ x ≤ 7 -7 ≤ x…

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Q: 2. y = tan (cosh x) (sin x)(sech x) secx (use logarithmic differentiation)

A: As per the requirement of the student question number 2 has been solved. Here we need to calculate…

Q: 4 Identify the center of the conic section whose equation is x 2 +y 2 + 6x - 4y - 12 = 0. (-6, 4)…

A: The given equation is; x2+y2+6x-4y-12=0   As we know that; The general form of equation of the…

Q: Solve the following differential equations of d²y dy dx² +==X dx

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Q: Solve the D.E ý - 25 +2y = 2 X73

A: Please read whole answer your doubt will be cleared.

Q: mposition =

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Q: enclosed by the Curve Find the area X = 2y² and x = 8

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Q: Use differentials and the graph off to approximate the following. (Round your answers to three…

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Q: fx-2dx

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Q: 31. (a) 32. (a) 33. (a) 34. (a) ₁12x-11dx • S²₁₂ √2+ |x|dx 2+ |x| L₁ let |e* - 1|dx *) ₁²³-1-15|dx +…

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Q: Solve the following differential equations of -x 2y" - 2y + y = 2e¯*

A: If the roots of the auxiliary equation are complex α±iβ , then the complementary function is…

Q: If [2x 3 23 1. 2 13 2. 2 3. 4. - 13 2 23 2 ] [ 1 -3 0 * 0 = 0, then the value of x is

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Q: Find the limit of the trigonometric fur lim cos (5) 248

A: answer is in next step

Q: Find the volumes for the following solids whose heights are defined by Z(x,y) and bases are the…

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Q: A continuous F(x1= 글X K value V-V- 15 X x has CDF 16 X Co OBX C1 15X k of 17 18 19 20 21 An

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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: 2. Fe²i+yj + x²yk, A. y²i2zy2j-e²k B. x²i2y2j-e²j C. y²i2z2j- e²k D. z²i2zy²j+e²k E. y²i-zy2j- e²k…

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given 1 by the vectors u, v and w…

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Q: SCALCET9 11.5.006. Test the series for convergence or divergence using the Alternating Series Test.…

A: Use alternating series test to check the convergence of series

Q: Find the curvature and the radius of curvature at the stated point. ㅠ r(t)=10cos(t)i+11sin(t)j+9tk;…

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Q: Complete the table. (Round your answers to four decimal places.) X-7 x-7x²²-8x+7 x 6.9 6.99 6.999 7…

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Q: Describe the graph of the equation. r=-13 i+(1-t2) j+t k O It is a parabola in the plane x = -13,…

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Q: A sphere with dimension [r=5m] what is the error that can be incorporated in the redais shuch that…

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Q: Use the Fundamental Theorem of Calculus to find the "area under curve" of f(x) = 4x+14 between x =…

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Q: Find the exact length of the curve x = tsint, y = t cost where 0 ≤ t ≤ 1.

A: answer is in next step

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

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Q: Find the points on the graph of the function that are closest to the given point. f(x) = x², (0, 3)…

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Q: Let an integer be chosen at random from the integers 1 to 30 inclusive. Find the probability that…

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Q: 18 Identify the center of the conic section whose equation is 5x 2 + 9y 2 - 80x + 54y + 221 = 0…

A: Solution is here

Q: u be a differentiable function of du (a) (er) dr d du (b) = (6") = b. Inb dr dr 1 du (c) (In u) dx u…

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Q: NE- My Ne If = Q, where is a function of y only, then the differential M equation M + Ny = 0 has an…

A: ydx+3xy-e-3ydy=0

Q: Locate the absolute extrema of the function on the closed interval. f(t) = ₂, [3,5]

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Q: VI. Write TRUE if the statement is correct, otherwise write FALSE. There is no need to justify your…

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Q: Consider the parallelepiped with adjacent edges Find the volume. V = i 137 u = 8i + 7j + k v = i + j…

A: Directly use the formula for the volume of parallelepiped.

Q: 7. Find the slope of the tangent to the parametric curve x = t - lnt, y = t + lnt at the point (e +…

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