x(t) = Find a plane containing the point (-3,5,-2) and the line y(t) = z(t) = 5 - 3t 8 + 6t 7 + 6t

Q: c) y(x) = c₂x² + ₂x Q20) The form of a particular solution of y"-4y' - 12y = sin(2t), is: . a) y,…

A: Using inverse operator

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: x 5√x ³ + 4 dx 3 Lx5

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Q: 17. 18. 19. dx/ (9x² + 4) sin³ x cos x dx (secs x) dx / csc x

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Q: X5 x3 +4 +4 dx

A: WE can find the integration as below.

Q: A 15-foot ladder is leaning against a mango tree. If the top of the ladder is sliding down the tree…

A: We need to find rate of bottom of ladder moving.

Q: TU Find the area of the region bounded by v = cos x. v = 1. and x = ¹₁

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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: 9) Ур H Asin(2t) + Bcos (2t) Q13) The general solution for y' a) = 3x² + c b) = y Q14) The solution…

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Q: | 1) 2Ln(√x + 3) + 2Ln(√x − 1) = Ln(6x - 7) 2)3x+2 = 27

A: This question is related to solution of equations, we will solve it using given information.

Q: Find the exact value of each angle given. Cos 105°

A: To be found : Value of cos 105°

Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

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Q: (D4 - 1)y = 7x².

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Q: Determine an equation for normal to the curve y = at x = x = -2.

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Q: XNN y= 2²/2+3

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Q: Find the critical values (if any) of the given functions. With solution please.

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Q: Find the area common to the circle r = 3 and the cardioid r = = 3(1 - cos 0)

A: Figure of area enclosed by both curve÷

Q: Which of the following five series n+1 1 Σ nvn n=1

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Q: 12) The formula of the particular solution yp of y(4) + 4y"=3 sin(2t) - 5cos2t, is: a) yp= Asin(t) +…

A: The given differential equation:y4+4y''=3sin2t-5cos2t.We need to find the formula of  the particular…

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)…

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Q: TC Find the area of the region bounded by y = cos x, y = 1, and x = =

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Q: integrate [(x csc^2 (2x) - x cos (2x)] dx

A: Given problem:-  ∫ [(x csc2(2x) - xcos(2x)] dx

Q: Find the limit or show that it does not exist. lim √25t² + 2 − 5t t-x

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Q: Q17) Evaluate L (2 e-2t sin4t - 0.5 cos3t): 8 S 8 - a) b) (s+2)2+16 2s2+18 (S-2)2+16 252418 c)…

A: 17) To evaluate: L(2e-2tsin 4t-0.5cos 3t)

Q: 18. sin³ x cos x dx

A: Here we will use substitution method for solving this problem

Q: 3. Find the equation/s of the TL to 9x² +16y² = 52 which is parallel to the line 9x-8y = 1.

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Q: Q15) Given that y₁ (t) a) t b) t 21 31 41 51 = t¹ is solution for 2t²y" +ty' - 3y = 0,t> 0, then y₂…

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Q: 5.1 Let a eR, v = 4ai - 6j and w=a²i +3j. Determine all nonzero values a, if any, so that is…

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Q: Find the function f given that the slope of the tangent line at any point (x, f(x)) is f'(x) and…

A: This question is related to Functions and application of integration, we will solve it using given…

Q: Let r be the reciprocal of n. Find the instantaneous rate of change of r wrt n and relative rate of…

A: According of Bartleby answering guidelines we can answer one question only at a time, therefore I…

Q: Q1/ Solve partial differential equations д2u 1- =+2 Әхду Х

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Q: 3 A box with a square base and open top must have a volum of 108000 cm³. We wish to find the…

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Q: Sỗ ſcos ur sin u dr du 0 0

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Q: A trough is 12 feet long and 3 feet across the top (see figure). Its ends are isosceles triangles…

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Q: Find the orthogonal trajectories of x = C exp (-y²). Oy=C*exp(-x) Oy=C*exp(2x) Oy=C*exp(-x^2) O…

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Q: 1. Given vectors u = 21-4ĵ- 3k and = (3,-1,2) and points A(3, -4, 2) and B(6, 3, -2), find if…

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Q: Solve the following Differential Equations with Laplace Transforms y" - 6y + 15y = 2 sin (3t), y (0)…

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Q: 7-10 Verify the given linea determine the values of x for accurate to within 0.1. 7. √√/1 + 2x 1 + x

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Q: Question 4 (a) Solve the following: √4x² dx (b) Explain with the aid of a sketch how this value can…

A: Let's solve given integral.

Q: 30.3. Find and classify the isolated singularities of the following func- tions: +1 Z sin 3z (a).…

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Q: Determine the scalar equation of the plane containing the point (-2, 9, 7) and 9. perpendicular to…

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Q: 4x* dx

A: We need to solve the following. So,            ∫-224x4dx=4·∫-22x4dx=4x55-22=4·645=2565

Q: 46. The region between the curve y = sec ¹x and the x-axis from x = 1 to x = 2 (shown here) is…

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Q: Q9) The linear form of nonlinear ODE y' - 2y = 2y, is: b) u' - 6u = -6 a) u' + 6u =-6 c) u' - 6u = 6…

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Q: O Determine if the line and plane intersect. If so, state the solution. T: -2x+6y + 4z_4=0 L: [x, y,…

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Q: If real and imaginary part of an analytic function are constants. Show that the curves given by u…

A: Function f(z)=u(x,y)+iv(x,y) is said to be analytic in a region R if:-(i) ux,uy,vx,vy exist and(ii)…

Q: Determine the value(s) of k for which the following planes will intersect in a lin x+y+z=0 2x + 3y -…

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Q: 3 E (It=X) xp x te

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Q: 1) e5Ln x+4Lny-Ln z 2) 2Ln√x+2Lne√ - 2Lne* QV² + 2²

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Q: 3. Waile si Sigma Notatimi 1. 12-201 4 곱 so times 나스

A: