The vector a in 3-space of length 3 lying in the yz-plane pointing upward at an angle of 5π/6 me&sured from the positive y-axis. V = _i+ _ j+_k

Q: 1. Find the domain of the vector function r(t) =

A: 1. Given Vector Function,rt = lnt+2, t1-t2, 2tt2 -4

Q: The partial fraction decomposition of the rational function 3 2x + 5x²

A: NOTE: Refresh your page if you can't see any equations. .

Q: Using the substitution u = expressed as an integral in terms of u is given by -1, the definite…

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Q: Which of the following theorems does not require the differentiability of the given function? a.…

A: We can check in which theorem , the condition of differentiability of the given function does not…

Q: Use the table of Laplace transforms to find the Laplace transforms of the following functions. a)…

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Q: J7 -dz 21-8

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Q: Starting from the same point, Angela starts walking eastward at 6 m/min while Jessica starts running…

A: Please see the below picture for detailed solution.

Q: Present a second order differential equation. Identify the corresponding auxiliary equation.…

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Q: (5x¹2xy)dx + (6y+kx²)dy = 0

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Q: Given the graph of f(x), the function is continuous from the left at x = -1. True or False? Select…

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Q: Let y= 3x2 +7x+4. If Δx=0.4 at x=2, use linear approximation to estimate ΔyΔy

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Q: then the / r(t)dt is equal to r(t) = (-2 cos (21), 3 sin (4t), In (2t)), Select one: True where C is…

A: Please see the below picture for detailed solution.

Q: f(x, y) = ln (2x) In (3y) + x - y - xy +3, then fxy(2, 2) is equal to Select one: 0 -2 None of them…

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Q: (x³ − 2y²)dx + 2xydy = 0 -

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Q: Question 1 function r(t) = (tª In 1, ¹2³, −3e¯³¹). a) Find the integral r(t)dt. b) Find parametric…

A: Here, r(t)=t4ln t, t-32,-3e-3t

Q: 1) Bob, Trinity, and Roger are painting their living room. Trinity takes twice the number of hours…

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Q: Find the general solution of the differential equation. y"" — 17y" +82y' — 120y = 0. NOTE: Use C₁,…

A: Here we have to solve the differential equation.

Q: Choose the domain of the following function f(x, y)= ln(2x - y - 5) O None of the others O D = {(x,…

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Q: 32. a. b. f cos(4sinx - 1) cos(2sinx + 8) cosx dx is sin(6sinx + 7) − sin(−2sinx + 9) + C 1 1 12. 1…

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Q: Let Z=ellxy-56y and x = 56t6 + 6 and y =sin(s + 56). Use the dz дz Chain rule to find and Ət - ds

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Q: Evaluate the definite integral by the limit definition. L₁x³dx

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Q: Use the given conditions to find the values of all six trigonometric functions. (If an answer is…

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Q: Use logarithmic differentiation to find dy dx · if y = x¹(1+x), x > 0.

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Q: Evaluate et +2e2t-et e2t +1 dt.

A: Given that a integration problem and we solve this problem by using general property of integration.…

Q: Một chuyển động có phương trình: R(t) = (3 sin(3t))i + (3 cos(3t))j + 3tk. Một vector tiếp tuyến với…

A: Solution ) R(t) = (3sin(3t) i + 3cos(3t)j + 3t k Differentiate with respect to t  R'(t) = 3…

Q: Solve -2-55ds a. Ob. 2-5s In 32 C. 25s 5 ln 2 d. 25s 2 In 5 2-5s 2 In 5 +C +C +C +C

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Q: Question a) b) C g(x, y) = (0,0). x³-4xy Let f(x, y) = x²-2y Find the first partial derivatives of…

A: Let fx, y=x5-4xy2x2-2ya To find the first partial derivatives of f.b To determine whether the limit…

Q: ate ſ- dx 4x²+1

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Q: Find lim PHEL x² + 100-10

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Q: +∞ 1+ sin² n 10n n=1

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Q: If In (x² - y) √-x+y+1 then the domain D of the function f is given by the set f(x, y) = Select one:…

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Q: Use an appropriate test to determine whether the series converges. 1 2 3 + 24³ 253 26 By the + +…

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Q: (z In z + 5)dz

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Q: Given the matrices A B. If my possible = not possible 0 1 3 -2 and B A. It is Select an answer to…

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Q: Evaluate the integral [x² In Select one: O -Inx-+C O O xả ln xdx nx - + C 9 None of them X 4 Inx-+C…

A: using integration by parts,

Q: a) b) exist f(x, y) = x²yesy 8x²+7y² Find the domain of the function f. Show that lim f(x, y) does…

A: According to question,Given Function,fx, y = x2 y e5y8x4 + 7y2

Q: 3. (x² + y²)dx - 2xydy = 0 [Answer: x²-y² = cx]

A: Here we use the method of substitution y=vx then dydx=v+xdvdxsee below the calculation and…

Q: Find the coordinates of a point P on the line and a vector v parallel to the line. x-3y 4 + 1 2 P(x,…

A: Solution ) to find the point p (x - 3)/4 = (y + 1)/2 = z + 4  = 0 (x - 3) /4 = 0   ,   (y + 1) /2  =…

Q: A particle moves along a straight line with a velocity v(t) = t²e²t meters per second after t…

A: A particle moves along a straight line with a velocity v(t)=t2e2t meters per second after t seconds.

Q: Use left and right endpoints and the given number of rectangles to find two approximations of the…

A: Concept: Using Left Riemann Sums and Non-Uniform Partitions, a Process for Approximating Definable…

Q: The parametric equations of the line that passes through A(-3,5,9) and B(-4,-7,2) is: x=-3-t,…

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Q: The following limit lim Select one: None of them O does not exist. equals 0. equals 1/3 O equals 1…

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Q: uring Runge-Kutta Method of fourth order, salve dy + y + xy² = 0, $ (0) = 1 by taking h= 0.1 لا

A: Runge Kutta Method of fourth order :-dydx= f(x,y)   , yo = xoyn+1=yn+16(k1+2k2+2k3+k4)where k1= h…

Q: 3. f Arctany dy 4. fx(2x - 1)'dx 5. fycsc²ycoty dy 6. fxsin4xcos4x dx

A: The given integrals are;  5) y csc2y coty 6) x sin4x cos4x.

Q: 9. The equation of the graph of the shaded region below is most likely to be Im A. |z − 4 + i| ≥ 2√3…

A: The objective of the question is choose the correct option for the region.

Q: How did you found x and dx? I 'm lost in that part

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Q: 18. If A = 6 a. d. 14 5 0 10 10 1 14 0 01 7 0 b. 0 11 16 C. 8 9 12 14 3577 NOV00 7 572 7 6 7 1 2 61…

A: In this question we have to multiply Matrix.

Q: 4. (xy² + 2x²y³) dx + (x²y - x³y²) dy = 0

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Q: a b) exist. x² yesy 8x4+7y² Find the domain of the function f. f(x, y) = Show that lim f(x, y) does…

A: The given function,  fx,y=x2ye5y8x4+7y2

Q: write a possible transformation in function that will transform the ordered pair (-1,4) to the…

A: Transformations.