.11 Compute (1/ry, 1/(x + y)) · dr along the curve (2t, 5t), 1 < t < 4.

Q: 44. Let r(1) = (r2, 41 – 3). Find T(t) and N(1), and show that the de- composition of a(1) into…

A:

Q: he characteristic curves for the IVP u+4 u,+2 u 0; (x, 0) = sin x; - 00 C are O a. T= X-t . T=X- 8…

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Q: 2. Ali is seated on the line which is normal to the curve f(x) = x² - 2x + 4 at the point (1, 3). 3.…

A: As per the company rule, we are supposed to solve the first three sub-parts of a multi-part problem.…

Q: - Determine the largest interval in which the unique solution of (t – 3)y +tan t y =t, y(n) =0 is…

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Q: 1. Find the work done by F(x, y, z) = (-y,–x, z) on a particle that moves along the curve R(t) (2…

A: As per our guideline we are supposed to answer only one question you can repost other questions in…

Q: 1. Find where f(x, y) = 4x² + 8y? – 4x – 8y +5 has absolute extreme values over the square with…

A: To calculate the extreme values of f(x,y)bounded by the square, the following calculations need to…

Q: 1- Find the derivative of ywith respect to x, t, or 0 as appropriate + 5. y = In 3x 6. y = In kx, k…

A: Derivative of the function

Q: 1. Find the orthogonal trajectories of the given family of curves: a. y= Ce¯mx; with m held fixed b.…

A: This question is related to family of curves, We will solve it using given information.

Q: 1) 3 Find the orthogonal trajectories of the family of curves y = 2x+k

A: Please see the explanation below

Q: Which of the following is a parameterizatino of the line that passes through the point (5, 4) With a…

A: Let's find.

Q: H.W- Compute y() with y-J=-8(Sinx+cosx) y(TT)=0,4(TT) = -8 %3D by @ Taylor series

A: The given problem is to solve the non homogeneous linear differential equation with given initial…

Q: Which of the following is a parameterization of the line that passes through the point (1, –3) with…

A: First frame the equation then verify all the given option.

Q: 2Use divectional devivative delinihion of f(Hiy)=x y'at the divecionof ū =i jatthe Point (le2>

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Q: 4. xy²1₁ X=1, x = 4, y = 0; about the x-axis

A:

Q: 18. y = (In 0)" > dy de = T(In 0)-1) () T(In 6)(-1) %3D

A:

Q: Find the slope of the tangent line to the graph of x²-Iny=0 at x=2 O None of these O 4e4 O e4 O 4

A:

Q: Let C be the shortest path that connects a to ni and I = S. (sinhz +1)dz. Then None of these O…

A:

Q: Question 8 Set up an integral for the length of the curve yV1+x on 2 sxs3. x2 dx 9(1+x-)5/3 x2…

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Q: 6. At time t, a particle moving in the xy – plane is at position (x(t), y(t)) where the x(t)and y(t)…

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Q: (Find the integral curve of the following equation passing through the given point). y = 4 cos(x),…

A: Given dy/dx and point we have to find equation from this

Q: 1 Find the points of discontinuity of y = where и +и - 2 1 u = * - 1

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Q: A f lexi ble Stre tched string is constrained to move with Zero slope at one end x=0 whi le the…

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Q: 2 35) Find a curve through the point (-4, 1) whose length integral, 1 s y s 2, is L = 1 +

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Q: An object is moving along a path defined by the graph   x2+y2=2   Compute dy/dy, if dx/dt=2,x=−1,…

A: Differentiation application

Q: I and late the integral and deter ergence of (problem in pict M/4 sec²x a. 1-tan x

A:

Q: If y(t) solves the IVP dy = y2021 y2019 y(2021)= -2019, dt then lim y(t) is: t- 00 Oa. 1 O b. 00 O.O…

A: Given differential equation is dydt=y2021-y2019.       ........1 It is an autonomous differential…

Q: Find an integrating factor to obtain the integral curve of (2ау — 16х) da + dy 3 0 that pass -…

A:

Q: B. Evaluate the given line integral. Follow the direction of C as given in the problem statement. 4.…

A: Given ∫Cy2-3z+2 dsC is the line segment from 1,0,4 to 2,-1,1

Q: 15. Evaluate the line integral J. (3xy* - 6xy ]dx + (4x'y - 3x) dy, where C is any path from (1, 2)…

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Q: 3.5 Given that H = x'a, + ya,, evaluate H· dl, where L is along the curve y = x from %3D (0, 0) to…

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Q: 1 4 1 Evaluate the integralI]+y? +z?)dz dy dx. ||Q? +y? +z?) dz dy dx. 0 0 0 1 4 1 [[[+y? +2?)dz dy…

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Q: A bug is crawling through the ry-plane in such a way that its coordinates (r(t), y(t)) at time t are…

A:

Q: 4.2) Suppose you wanted to find the absolute extrema of f(x, y) = ax² + bxy+cy? + dx + ey on the…

A: The given function is, fx,y=ax2+bxy+cy2+dx+ey We have one critical point on the rectangle,…

Q: 8. Let f(x, y) = cos(y – x) and r(t) = (e', e2t). Find if (r(t)) at t = ln(3).

A: The solution is given as

Q: What is the equation of the curve y = ax* + bx + cx² + dx + e tangent to y = 25x (2,14), to y = 2x +…

A: By verifying options and substitution of point (-1,11) it is verifying option C

Q: For a. y′ =ln(y)+x,withy(1)=1. (Here x0 =1.) b. y′ =ln(1+y),withy(1)=0. (Here x0 =1.) Is it…

A: Solving for  a) y'=ln(y)+x            dydx=ln(y)+xdy=ln(y) dx+x dx Integrating:           ∫dy=∫ln(y)…

Q: 8. DETAILS SCALCET9M 3.10.003. Find the linearization L(x) of the function at a. Rx) = Vx, a = 64…

A: given,

Q: 3 5. Evaluate the iterated integral: S x(x² + y)'/² dx dy.

A:

Q: 1 3. Integrate the function f (x, y) = over the region bounded by x-axis, line x = 7, and the curve…

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Q: 2. Set up an integral to find the exact length of the curve defined by 1 f(x) = 1 In r 2 - 4* where…

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Q: (6) Find the orthogonal trajectories of the family of curves r= 5C cos 8, where C being parameter.

A: we have to find the orthogonal trajectory for the given function

Q: 1. Find the orthogonal trajectories of the family of curve z + 3y = cy,where cis an arbitrary…

A: We will first find the differential equation of the of the given family of curves

Q: Which of the following functions has a maximum y value of 4 Oy= 4cos x y= cos 4x Oy= cos x + 4 Oy=…

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Q: 2 1 Evaluate the iterated integral S 18*y°dy dx. -2 0

A:

Q: se Euler method to compute ys for the DE yy'=2 x for y(1)=3

A: Euler's Method

Q: Question 2 Set up an integral for the length of the curve y=V1+x? on 2 sxs3. x2 1+ dx 4(1+x)3/2 x2…

A:

Q: none 1 point The y-intercept of the tangent line to the aurve of y = Vx +3 at the point (1, ) is…

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.