10. Find the unique solution of the second-order ivp: y" + 16y = 0, y(0) = 2,y'(0) = -2

Q: Find the distance from the point S(1, 1, 5) to the line L: x = 1 + t, y = 3 – t, z = 2t.

A:

Q: taylor tanox)

A: We have to find Taylor series of tanx

Q: 4. Find a vector that points in the opposite direction as ā =(-3,-14,2) with a magnitude of 32. 5.…

A:

Q: 9. Evaluate the limit of (x-2)(x^3-8) as x approaches 2. а. а b. 1/12 с. 0 d. 2/3

A: As per our guidelines we are supposed to answer?️ only 1 question. Kindly repost other question as…

Q: 10. Determine if the series converges or diverges using a Comparison test based on a Taylor…

A:

Q: f(x) = lnx/sqrt(x) Find the first and second derivative   please solve this by writing and not…

A: Topic = Derivative

Q: Find the sum of this arithmetic series. 6. 2 (5)- 1) j= 1 6 E (5j – 1) = j = 1 (Simplify your…

A:

Q: answer

A:

Q: Solve the differential equation 3y r. y = -- y = - O C. y =+ Oa. Ob. +

A: This is a problem related to differential equation. Based on the general formula and concept we will…

Q: Use the Laws of Logarithms to expand the expression. 4x7 In (x + 3)8

A:

Q: by the suitable solution Full the following blanks (Undetermined Coefficients method) 1. If у" + у…

A: Differential equations

Q: An open box is to be made by cutting small squares from the corners of rectangular board and then…

A: let "x" be the length of the side of the square cut.Length= 8-2xWidth = 6-2xHeight =xVolume =…

Q: By the Fundamental Theorem of Calculus: •t „2 +1 dx 5x +1 d dt d and dt - 6t x2 +1 dx 5x +1 d…

A: Given

Q: Evaluate the sum. Σ (-2) k 2 k=2

A:

Q: Use the Laws of Logarithms to combine the expression. 3 In(2) + 5 In(x) - - In(x + 7)

A:

Q: The volume of the solid obtained by rotating the region enclosed by y = x², x = 2, x= 3, y=0 about…

A: We have to find the volume of the solid.

Q: y= fix) 16 01 16 32 48 64

A:

Q: 1 18 6 The sum is (Type an integer or a simplified fraction.) 1/2 1/6

A: Topic:- sequence and series

Q: dr 15. (4 – 2²)3/2

A: Topic = Integration

Q: of of and ду For the function f(x,y) = In (7x+y), find of af ду II II

A: Solve the following

Q: Find the inverse of the function. f (x) = 14 – 5x³

A: Topic = Function

Q: x² b. x²-4

A: Given: So,             f''(x)=x2x2-4''          =-8xx2-42'          =-8-3x2-4x2-43 Concave Up:…

Q: 3 X, 4. хе xe-4xdx 5.

A:

Q: 6. For each function determine: i) the critical values ii) the intervals of increasing or decreasing…

A: Given problem:- f(x) = x3 - 9x2 + 24x - 10 To find:- i) the critical values   ii) the intervals of…

Q: Determine the Laplace transform of the following function f(x) = x2 1.

A:

Q: Use the Shell Method to compute the volume of the solids obtained by rotating the region enclosed by…

A:

Q: A: By using Linear equation solve the first order differential equation y' + sec(x)y = cos(x)

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Q: Use a double integral to find the volume under the plane z = 20x + yand over the rectangle R {(x,…

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Q: Solve for x 2 1792 -X+ 66,05x¯+- 25 3613 3 5x=0 25

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 3. A particle moves along a coordinate axis. Its position at time t (sec) is s(t)= [S(x)dx feet,…

A: Note:- As per your request i am solving sub part d and e from given sub parts

Q: sin Inx 12. S dx x cos² In x

A: Given integration is ∫sinlnxxcos2lnxdx We solve the integral using proper substitution.

Q: Find the integral of 32/3 and 32/3

A:

Q: 15. The solution of Laplace equation и + 3 0, и(х,0) — 0, и(х, п) — 0, и (о, у) — 0, и(0, у) %— 3sin…

A: Please see the below picture for detailed solution.

Q: Find the slope of the tangent line to polar curve r=5sinθ at the point (5/2,π/6).

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

Q: Find the absolute extrema of the function on the closed interval. t2 g(t) = 7 (-2, 2] 1. t2 +…

A:

Q: Find the inverse of the function on the given domain. f (z) = (x – 14)2, [14, 0) f-1 (2) =

A: The given function is;  f(x)=(x-14) 2,[14,infinity).

Q: H.W. Solve the fallowishg first order OE -3= \-yャメ- %3D y3 5-0 J2. Sinx

A:

Q: Give 5 sample problems for Homogenous Coeffiecient (Differential Equation). Provide step by step…

A: Take a homogenous equation and first differentiate then simplify

Q: 2. S tane sec4 0 d0

A:

Q: Find a formula for Sn, n > 1, if sn is given by 6 7 3' 5' 7' 9' 11 4 8 - Sn =

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Q: You will calculate L5 and U5 for the quadratic function y 2² + z + 14 between z = 0 and z = 2. Enter…

A: To solve the following problem

Q: Use logarithmic differentiation to find dy/dx. y = x8/x

A:

Q: 3. S sin³ 0 cos³ 0 d0

A: Given

Q: by the suitable solution Full the following blanks (Undetermined Coefficients method) If y" +y = 2x…

A: We have to answer following Questions.

Q: 15. ſ sin² 3t cos 3t dt

A:

Q: (х, у) — ху? + yex- +5

A: we have to find fxx and fyy.

Q: - 4× dx хе

A:

Q: Use the Ratio Test to determine whether the series is convergent or divergent. (-3)" (2n + 1) n = 0…

A: Solve the following

Q: What are the characteristics of the graph of the tangent function?

A: What are the characteristics of graph of tangent function

Q: he volume, V, of a sphere in terms of its radius, r, is given by V (r) = Tr3. Express r as a…

A: Topic:- function