1-e dx +2(xe – y)dy = 0;

Q: Solve the differential equation with appropriate method. Finalize answer equated to ky^n. dy/dx + y…

A: Using bernoulli's differential equations, solve this differential equations.

Q: Find the gradient of the function at the given point. Function Point f(x, y, z) = Vx² + y2 + z2 (4,…

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Q: dx 3. S- 0 x* + 2x – 3

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Q: 9. sin“ x cos“ x dx

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Q: Evaluate/Find the following integrals. 2 4. S2-3 3 -dy 1 У +у 2

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Q: 1 The series > is convergent. (Зп + 1)(3п + 4) n=1

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Q: (a) x = 6t,y = - 7+ 4t O (x, y) = (0, 6) + t{ – 7,4) ai + bj = -7j + t(6i + 4j) O (x, y) = (0, 7) +…

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Q: Write and evaluate the definite integral that represents the volume of the solid formed by revolving…

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Q: 10. * S sin(In x)dx 1 C x sin(Inx) – cos(Inx) + C 2. x sin(Inx) – cos(lnx) + C 1 x sin(lnx) +…

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Q: Discuss the continuity and sketch the graph. x-2 if x1

A: as per our guidelines we can answer only 1 question do kindly repost the remaining questions…

Q: Determine if the following statement is true or false. The lines L1 and L2 are skew. L :x = -1 + 2t,…

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Q: Determine whether the lines L and L2 are parallel. L1: x= 2-3t, y = 3+ t, L2: x = 4- 12t, y= -3 +…

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Q: 00 The series is convergent. n2 + cos? n n=1 This statement is true by the alternating series test.…

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Q: What's the difference between average velocity and instantaneous velocity?

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Q: 2. Let a, b e R and let f be the function Z + Z defined by f(z) - ar + b. For which values of a and…

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Q: Find the radius of curvature of a parabola y2 – 4x = 0 at point (4, 4). A. 22.33 units B. 25.78…

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Q: Is the line through (4, 1, – 1) and (2, 5, 3) perpendicular to the line through (-3, 2, 0) and (5,…

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Q: Consider the points A(1, –3, 4), B(2, –5,2), C(-1, -4, 2), and D(2,3, –5). (a) Find the volume of…

A: We have to solve given Questions.

Q: State whether each of the following series converges absolutely, conditionally, or not at all. n²…

A: A series ∑an is called absolutely convergent if ∑ an is convergent . Limit Comparison Test :   If…

Q: y =f(x) Enumerate all discontinuities of f(x) and identify their types. If a discontinuity is…

A: We have to find the discontinu points

Q: There are 14 children at a pirate-themed birthday party. You are going to draw four names from a hat…

A: By the knowledge of permutations and combinations we can approach this type of problems.

Q: /4y² - 25 -dy

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Q: Calculate the following sums. (Use symbolic notation and fractions where needed.) 8. (a) i=1 8 (b)…

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Q: = सितो 11

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Q: Evaluate/Find the following integrals. 2 -3 dy 4. S 3 2 y +y 1 У

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Q: (42ª + 3y² + 2z)dV B = {(z, y, 2) | 0 < I < 10, 0 < y < 8,0 <z< 1} .

A: Let's find.

Q: Find an equation of the tangent plane to the surface at the given point. g(x, y) = arctan 2, (2, 0,…

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Q: Determine if is a p-series or not. If so, determine if the series converges or 7 5ni n=1 diverges,…

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Q: 34. w/4 sec 0 tan 0 de

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Q: (a) P:4x-3y-6z-2 0 P2:-12r+9v+ 18z-5=0 O Parallel O Perpendicular O Neither eTextbook and Media Hint…

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Q: wing. y = x2 y = 6 - x 10 8- 6. (a) Find the area of the region by integrating with respect to x.…

A: Here, the given region is bounded by the curves: y=x2, y=6-x The intersection point can be found by…

Q: If f(x) = 2x - 1, what is the equation of the normal line to the graph of fat (1, 1) O A. x - 6y = -…

A: 1) f(x)=2x3-1 at (1,1) 2)f(x)=g(u) and g(u)=u(x).

Q: JI (x - 1)5 + 3 (х — 1)? + 5 Jdx

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Q: Bradley has 35 baseball cards. H shared them equally among himself and 6 friends. Then Bradley…

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Q: The definite integral of f(t – 1)dt = f dv is v – v. =t2 – t - t %3D %3D O True O False

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Q: Solve the I.V.P: dy 1 = 6y°x; y (1) = dx 21 1 y = 24+3z2 1 3z2-24 1 y = 24-3z 1 24-3z? నా నా

A: To find solution of IVP

Q: | cos(V) dx 2 Vx sin (Vx)-2 cos (Vx)+C C 2 Vx sin x (Vx)-2 cos (Vx) + C 2 Vx sin (Vx) + 2 cos (Vx) +…

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Q: 19. (+ 2x 4) dx

A: ∫ af(x)±bg(x) dx = a∫f(x) dx ± b∫g(x) dx . ∫xn dx = xn+1n+1+C

Q: x(x* +y° )°(vdx – xdy)+ y°dy = 0 Ans. (x² +y³)' = 6y° In

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Q: Find the derivative of the following functions from first principles. (i) x? (ii) e (iii) log (x +…

A: derivative

Q: Which of the following nuclides would be most likely to undergo beta decay? 135 130 125 Sn le 120…

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Q: Find the directional derivative of f at P in the direction of a vector making the counterclockwise…

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Q: 8.) y Inxlny dx + dy = 0

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 11.)y- 2y y y= 3 when x = 0

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Integrate the ff.

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Q: Find Duf at P. 3 f (x, y) = sin(7x – 5y); P(5,7); u 4 - NOTE: Enter the exact answer. Duf

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Q: Let a = ci + jand b = 3i + 4j. Find c so that the angle between a and b is- Round your answers to…

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Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(-8, 5,…

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Q: Let f(r) = x³ on [0, 1] and let Pn be the arithmetic partition that splits [0, 1] into n equal…

A: Given

Q: ((- +3) dt 21.

A: the given integration,       ∫0245t3-34t2+25t dt