Solve given differential equation. ydx-xdy+2dx=0 

Q: olve the given differential equation. All solutions should be found. dy x - 2y dx X

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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: x² dx (x − 1) (x² + 4x + 5) Si

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Q: Given: f(x) Then lim f(x) = x-1-1 0 3 01 0 -1 O does not exist -x² 2 2x 1/x² if x < -1 if x=-1 if…

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Q: Let u = (4,-1,-1) and v= (2,-2, 2x + 1) be two vectors in space. Find alle ER such that u and v are…

A: The given vectors are u=4,x-1,-1 and v=2,-2,2x+1

Q: Let f(x,y)=- lim f(x,y)? (3) (4.4) lim (x,y)→(4,4) This option Which of the following is true about…

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Q: A rental company charges $65 a day and 20 cents a mile for renting a truck. Michael rents a truck…

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Q: Find the outward flux of the field F = 2xyi + 8yzj + 6xzk across the surface of the cube cut from…

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Q: Let f(x,y)= lim f(x,y)? (23) (0,0) x+2y² Which of the following is true about

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Q: 3. Evaluate tan¹x² 1+xº dx

A: dtan-1(x)dx=11+x2

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

A: This question can be solved using the concept of time and work.

Q: 5. Find the area bounded by the polar curve r = 4cos30.

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Q: Given the graph below, what is the lim f(x)? x-1+ +8 02 1 -10 -5 does not exist 10 -5- -5- -10 10

A: Using the concept of right hand limit

Q: Two hours after the start of a 100-kilometer bicycle race, a cyclist passes the 82-kilometer mark…

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Q: 23. Given the triangular numbers 1, 3, 6, 10, 15,... Find the 7th and 8th term of the series. a. 26…

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Q: Find h'(t) if h(t)= h'(t)= 3 1/2 3 3/5

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Q: 1) Evaluate the integrals: (a) f sin³ (2x) cos (2x) dx (b) sin³ (2x) cos (2x) dx

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Q: Two cars start moving from the same point. One travels south at 60mi/h and the other travels west at…

A: We have to find out distance between the cars

Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

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Q: A car sharing service offers a membership plan with a $40 per month fee that includes 10 hours of…

A: Cost of membership plan = $40 Let No.of driving hours = x

Q: True or False: If √ X (x − 3)(x + 4) -dx = 3 -In(|x − 3]) + B ln(|x + 4]) + ( In(1x

A: NOTE: Refresh your page if you can't see any equations. . here we have use the partial fraction

Q: Find the difference quotient for each of the following functions and reduce to lowest terms A.…

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Q: CH 10.3 Class Determine whether the conversy! arguil 6 + Exeresse I (3) Ent your @ 1 + 1/8 + 2/27 +…

A: The given series,1) 1+18+127+164+......2) ∑1n43) ∑n-1

Q: - [5√3x d dx

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Q: dy What is if the function y = f(x) is implicitly defined by the equation 5x + 3y² = 4y + 2x² - 5?…

A: For implicit differentiation , both sides of the equation are differentiated simultaneously.

Q: Sx -1 xtan xdx

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

Q: sin a Given: f(x) 2x ' k, { if x #0 if x = 0 What should be the value of k so that f is continuous…

A: This question can be solved using the concept of continuity of a function at a given point.

Q: Use the four-step process to find f'(x) and then find f'(1), f'(2), and f'(3). f(x) = 5 f'(x) =…

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Q: Use the surface integral in Stokes' Theorem to calculate the circulation of the field F = x²i+…

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Q: Two hours after the start of a 100-kilometer bicycle race, a cyclist passes the 82-kilometer mark…

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

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Q: Find lim lim h-0 h→0 f(6+h)-f(6) h f(6+h)-f(6) h if f(x)=x² +4. (Simplify your answer.)

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Q: Condense the expression to the logarithm of a single quantity. 3 log3(x) +log3(y) - 8 log3(z) X

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Q: The area A = ² of a circular oil spill changes with the radius. At what rate does the area change…

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

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Q: Express the integrand as a sum of partial fractions and evaluate the integral. x+2 x² + 3x-4 Express…

A: Here we have to find the partial fraction

Q: Find the derivative of the function y = arctan x + x 1+x²

A: Given: y=arctanx+x1+x2Recall the formulas:ddxarctanx=11+x2     ..........1ddxuv=vdudx-udvdxv2…

Q: ind f. f ″(x) = −2 + 24x − 12x2,    f(0) = 2,    f ′(0) = 18

A: We can solve the given equation.

Q: Find the 4th degree Taylor Series Polynomial for the function f(x) = ex centered at c=3.

A: The function f(x)=ex centered at c=3

Q: The range of the function f(x, y) = This option 10, 1/3] [1/3, +00[ O This option None of these 1…

A: Domain:- The set of all those points (x,y)  such that the function at those points exists.Range:-…

Q: = [₁ rx Let I= f(x) dx, where fis the function whose graph is shown. y 12 8 4 1 2 (a) Use the graph…

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Q: Evaluate the line integral [x(1 с where C is given by the line r(t) = (1 + 3t, 2t), 0≤ t ≤ 1. x(1 +…

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Q: Evaluate the limit using L'Hospital's rule 1 lim 12xe 12x x →∞

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Q: Find a center of mass of a thin plate of density 8 = 6 bounded by the lines y=x and x = 0 and the…

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Q: 8. Find the first two non-zero terms of the Taylor expansion for function f(x)=sin x and a given…

A: Let's solve.

Q: cose 00 2r sin 0 dr de

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Q: If u = (0, 2, 3) and v = (1, 3, -1), find the projection of u onto v. 이름다 a) Obl 이유ㅎ ○ c) (1, 1, -1)…

A: This question can be solved using the concept of vector projection of a vector on other vector.

Q: The range of the function f(x, y) [1/3, +00[ This option None of these This option ]- 00, 1/3]…

A: Here, the given function is: f(x,y)=13+x2+y2

Q: Fill in the blank to complete the trigonometric identity. so(-u)- sec = X

A: This question is based on Trigonometric identity.

Q: Two hours after the start of a 100-kilometer bicycle race, a cyclist passes the 82-kilometer mark…

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