find the length of the segment of the line y-3x=0 from the point (1,3) to the point (2,6)

Q: Consider the following initial-value problem. y' - y = 2 cos(8t), y(0) = 0 Find L{f(t)} for f(t) = 2…

A: Leat=1s-a ; Lsin(at)=as2-a2; Lcos(at) =ss2-a2.

Q: (16x² − 16 x + 4)D²y = 4x² − 4x + 4

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Q: 1). Compute the general term an of the series with the given partial sum Sn. Sn =  n(n + 1) 2, n ≥…

A: Solution:

Q: Determine the dimensions of Nul A, Col A, and Row A for the given matrix. A= 120 467 010-324 The…

A: Determine the dimensions of Nul A, Col A, and Row A for the given matrix.

Q: Find r(t). u(t). r(t) = (7t − 4)i + 1⁄2t³j + 2k u(t) = t²i8j + t³k r(t). u(t) Is the result a…

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Q: lim etti + t → 0 sin(2t); i+e-2tk) 2t

A: We have to find the value of  given limit.

Q: Determine the value of each of the constants, A, B & C 4x²23x + 21 S x² - 4x + 3 Option 1: Option 2:…

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Q: Find the angle between the vectors. (First find an exact expression and then approximate to the…

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Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

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Q: Problem 2: (Exe. 18 p. 124) Use the definition of continuity and the properties of limits to show…

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: Evaluate the integral. sint dt (3 + cost) 6 OA. OB. C. O D. 1 7(3 + cost) 1 (3+ cost)5 + C + C 1 5(3…

A: I have stated the used formulas in the solution

Q: Find an equation of the tangent plane to the surface at the give h(x, y) = In √x² + y², (12, 16, In…

A: we have to find tangent plane

Q: 17. f(x) x²(2x+3) (x² +1)*

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Q: How many minutes after 4 o’clock will the hands of the clock from an angle of 120 degree again? a.…

A: Topic -clock problem and linear equation

Q: Find r(t). u(t). r(t) = (5t - 8)i + 18. u(t)= t²i8j + t³k r(t) .u(t) = + 4k Is the result a…

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Q: Find the indefinite integral. 1- Step 1 1 1- 6x-x² dx

A: We can solve the given indefinite integral.

Q: Find a vector function r(t) that represents the intersection of the surfaces: z = x² + y² z = y + 1

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Q: Evaluate 2 [²4x² - 4x³ - 2x + cos(x) dx. Note: If the answer is not an integer, round your answer to…

A: We need to evaluate the value of the following integral ∫024x3-2x+cosxdx

Q: Find an equation of the plane with the given characteristics. The plane passes through (0, 0, 0),…

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Q: 16. Solve dx (a²+x²)

A: NOTE: As per our guidelines, I have solved one problem. If you want the answers of rest, kindly post…

Q: Find the following for the given equation. r(t) = (e-t, 3t², 4 tan(t)) (a) r(t) = (b) r(t) = (c)…

A: Topic = Derivative

Q: xf cos [2 sin -¹-1)] Find the exact value of cos 2 sin cos [2 sin-¹(-)-0 (Simplify your answer,…

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Q: Find the values of x for which the series converges. (Enter your answer using interval notation.) Σ…

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Q: The cross section of a precast concrete beam for a building is bounded by the graphs of the…

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Q: 39. You put $7,500 into a bank account that has a very high continuously compounded interest rate of…

A: Solution ) Direct formula for continuous compounding  A = Pe(rt/100) 42000 = 7500 e( 18t/100)…

Q: 12. The trigonometric identities applicable to evaluate [sin'0 cos³0 de 1. cos² 0 = (1 + cos20) Ꮎ…

A: Method 1÷

Q: Let y = tan(2x + 3). Find the differential dy when x = 1 and dx = 0.1 Find the differential dy when…

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Q: Find the point of intersection of the line through (1, -4, 1) and (4, -12, 6), and the plane given…

A: Find the equation of line and then find its intersection with the plane

Q: . (True/False) Let C be a closed curve. Then for a continuous function f, we have fof ds = 0.

A: As per our guidelines i am supposed to answer only one question please repost remaining question

Q: Find the area of the region bounded by the curves y = x² and y = -x² + 4x. 9/4 11/3 12/15 8/3 none…

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Q: [D3 – 6D2 + 11D − 6)y = cosx sinx

A: The objective is to solve the above differential equation.

Q: Find the indefinite integral of Jsec²x tanx√1 + tanx dx. 22/2

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Q: 1. ܐ 2x -5 2. fe²dx -dx

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Q: Hundreds Place Is In _________ Period.

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Q: (1.1.1-4-3-3-4-6,...} 1, 3, 2, 4, 3, 5, 4, 6, { {

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Q: Find the principal unit normal vector to the curve at the specified value of the parameter. r(t) =…

A: Given that : r(t) = cos(3t) i + 2sin(3t) j + k and t= π. Find the principal normal unit vector to…

Q: derivative of f(x)=2x^15-3^x, f^15(

A: We will find the required.

Q: Evaluate 2 ²4x² 0 Answer: 4x³ - 2x + cos(x) dx. Note: If the answer is not an integer, round your…

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Q: dx 7. √² +4 1. Integration Leading to Inverse Trigonometric Function/Additional Standard Formula II.…

A: We will use simple Integration rules to solve this question.

Q: Find a unit normal vector for the following function at the point P(−3,3,−27) f(x,y)=x^3

A: Find a unit normal vector for the function f(x,y)= x^3 at point P(-3,3,-27)

Q: Consider the following. Function y = 5e¹-x² (a) Find an equation of the tangent line to the graph of…

A: The equation of the tangent to the graph of the function y = f(x) at (x 0 , y 0) is given by    y -…

Q: 1. Using the general form of a circle, find the equation of the circle that passes through the…

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Q: 1. Find derivative of given function defined as follows. y = (8x²-3x³) ³

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Q: Find the indefinite integral using integration tables and using the given method. (Use C for the…

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Q: Consider the following. u = −8i – 2j – 4k, v = 4j + 4k (a) Find the projection of u onto v. (b) Find…

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Q: Find two numbers a and b with a ≤ b such that has its largest value. (10 + 3x - x²) ¹/3 dx

A: Solution of given question is written in below steps.

Q: Nathan Mathematics Chance was asked to round 8.251 to the hundredths place. He said that since 5 is…

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Q: f(2)-f(-1) 2-(-1) Let f(x)= |x|. Is there a value c in [1,2] such that f'(c)=- If yes, find such c.…

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Q: If f(x) = 2x² - 6x + 6, find f'(2). Use this to find the linear approximation to f(x) at x = The…

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