7. Find the parametric equations of the line passing through A(1, -2, 6) and which is perpendicular to both ₁ = (1,5,6) + t(2,−1, 4) and 1₂: = x-1 Z+2 y = 3. 3 -1

Q: ſª √√√x – 1 dx is equal to 8 {A}-- 15 32 {B} - 15 - {c} {D} 8 15 32 15

A: To find out the integration.

Q: Show that any subset of bounded set is bounded

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Q: 1. f(x) = x² − 16x, [3, 10] 2. f(x) = 15 – 2x − 2x², [1, 2] 3. f(x) = 2x³ + 3x² − 12x + 24, [−4, 0]

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Q: Rewrite the following quantities mo 1) e5ln x+4Lny-In z 2) 2Ln√x + 2Lne - 2Lne*

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Q: Consider the following initial-value problem. 2y″ + 28y ′ + 99y = 0,    y(0) = 2,    y ′(0) = 0 Take…

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Q: 2 S² T ㅠ 1-cos x dx 2

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Q: Question 4 (a) Solve the following: [²4x¹dx (b) Explain with the aid of a sketch how this value can…

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Q: 1. (x+y)dy +(x-y)dx=0

A: Given: (x+y)dy+(x−y)dx=0 ⇒dydx = -x+yx+y   ...(1) To prove: Given differential equation is…

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Q: If the first-quadrant area bounded by the parabola y = 4 - x² will revolve about the x-axis, the…

A: Given curve, y=4-x2 Portion of given graph rotate around X axis in first quadrant, Therefore Put x=0…

Q: 19. The solution of the differential equation cos (2) dx - sin (²) + COS (²)]dy = 0 is A. y sec ² =…

A: Only one question is solved. Solving more than one question is solved in the policy of bartleby.

Q: In r Т lim, 0+ 01 O II O III OIV O Not Indeterminate

A: Hee, the given expression is: limx→0+ln xx

Q: 4- Find the volume of the solid obtained by rotating about the x-axis the region under the curve y =…

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A: Given: Axis interception points of 2x3-45x2+300x+6:  X Intercepts: -0.01994…, 0, Y Intercepts: 0,…

Q: Which statement describes this graph? 3 15- -10- -5-

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Q: ∫0.00202003x^4/4-0.0185672x^3/3-0.0937054x^2/2+2.17676x+C

A: We have to solve it. But it's not clearly mentioned that, either We have to find integration or…

Q: TT/6 6² tan 2x dx =

A:

Q: At which point/s is the absolute value function not differentiable? x = 0 The absolute value…

A: Above question is solved.

Q: f(secx tan² x) dx

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Q: Find f'(x) where f(x) = esina Of(a)=esing cos O f'(x) = sinx. ecosx ○ f'(x) = ecos sinx . O f (2) =…

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Q: Deriving the formula for volume generated by revolving the first- = quadrant area bounded by the…

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Q: Consider the following. [u-5(6 - u³ +4²0) du Simplify the integrand by distributing u¯5 to each…

A: We know that integration power rule is given as - Integration of xn is xn+1/n+1 +C ; here C is…

Q: Find  f(t). ℒ−1{1/(s - 7)3}

A: The inverse laplace tranform L-11s-73

Q: * What is inverse Laplace for 1 (s + 1)² + 1 y (s) =

A: option 2

Q: F cos 2x dx sin x

A:

Q: Let R be the region enclosed by the curves y = x³ and y = 2x². The area of R using vertical element…

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Q: 1 S dx = 3x+2 0-²(3x + 2) + C O 2√3x +2+c 3 O²(3x + 2)² + C A O√3x + 2 + c

A: The given integral is: I=∫13x+2dx  ...1   As we know the Power Rule: ∫xndx=xn+1n+1+C ; n≠-1

Q: ifferentiate the funtion y = 2 csc (1-3x)

A: Giveny=2cosec(1-3x)Aim: dydx

Q: Determine whether the differential equation . (8x² − 2xy + 7) dx + (4y² − x² + 8) dy = 0 is exact.…

A:

Q: Question 4 Find two numbers whose sum is "a", if the product of one by the cube of the other is to…

A: To find out two numbers.

Q: 3. A 72 N force acting in the direction of vector (2, -1, -2) moves an object from P(3, 4, 2) to…

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Q: Q14) The solution of y" + y = 0 by using power series method, is: - a) y(x) = ao + a1 ( 1 - 12/11 c)…

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Q: (*). (1) without a calculator. We will do the followings: 1.2.3.4 7.6.5.4 = 2.3.4 7.6.5 7.5 = 1 I…

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Q: A transportation company sells 2000 bus tickets per day when the price is $10 per ticket. They…

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Q: Consider the following. f(x)={-2x - 4x + 3, x≤ 4 X > 4 Find the x-value at which f is not…

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Q: 2. The base of a solid is an ellipse whose major axus and minor axis are 12 cm and 8 cm long,…

A: We need to find volume.

Q: Q1) L-1 s(s a) cosht -1 b) 1-cosht c) (cosh2t - 1) d) (1 - cosh2t)

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Q: 3 s²+1 6 s² + 1 Option 4 O * The Laplace transform of the x(t) is x (t) = 3 sint 3 s²+2 6 s²+2…

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Q: 2/2 2 sin³(x) dx

A: Here is the solution of the given problem.  To solve the problem we use the following formula:…

Q: On your own, verify that the indicated expression is an implicit solution of the given first-order…

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Q: Question 3 limx→+∞ e-√√ OI Oll O III OIV O Not Indeterminate

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Q: f arctan y dy 3 f

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Q: Evaluate lim 00 0-1/1/201 O None of the choices ¹ 0-1/201 O 14 tan z 1 x cos x

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Q: e costu(t) e-¹ u(t) Option 3 Option 4 • What is inverse Laplace for 1 (s + 1)² + 1 y (s) = te¹ u(t)…

A:

Q: 2. A certain plutonium isotope decays at a rate proportional to the amount present. Approximately…

A: Let  at time t the amount of plutonium is  A(t)

Q: 1- Calculate the area of the region which is bounded by: y = (x - 1)², y = (x-4)2, and y = 0.

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Q: The force of magnitude F-108 lb acts along the edge of the triangular plate. Determine the moment of…

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Q: State the order of the given ordinary differential equation. (1-x)y" - 9xy' + 6y = cos x 2 Determine…

A: We need to find order of D.E.