Find the general solution of (2x – y) dy = 2y – x - da

Q: Find the value of x such that x satisfies the mean-value theorem at the interval [0. 1] for the…

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Q: k=1 2K (c) Use the ratio test for absolute convergence to determine whether the series converges or…

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Q: The limit represents a derivative f'(a). Find f and a. V3 sin (5 + h) lim 2 h→0 h (Express numbers…

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Q: dy Vy+2 sinnx costx dx

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Q: Verify that fy = fx ху ух f (x, y) = 2x'y' -x'y b. f(x,y)=(x' + y²)° а.

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Q: Problem 1: Evaluate the following definite integrals. Sx(x2 + 1)V4- 2x2 – x dx -dx

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Q: Use the limit definition to calculate the derivative at x = a of the linear function f(x) = 13.…

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Q: Find the polar eauation for the curve represented by the given Cartesian eavation. Dy=-4x² 1.

A: We need to find polar equation.

Q: x- 2 For the function f(x) = x-5 a. the graph of the function is until x = 2 only. O b. the graph of…

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Q: Find the saddle pointis of the function f(x,y) = x° +y°+i y+4 Oa(5-1) Oc (4.0) & (4,0) Od(0.0)

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Q: y = Vx* X

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Q: Question For the equation given below, one could use Newton's method as a way to approximate the…

A: This question is related to numerical methods, we will solve it using given information.

Q: Q2/ Fit a second -order polynomial to the data in the following table: 5 1 4 2 Y 2 8 3 4 -1 4 6.

A: We need to find quadratic equation.

Q: Evaluate the following limit: (x- 2)2 – 4 | lim If it does not exist enter DNE.

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Q: 3. A body moves along a horizontal line in accordance to s= t3 + 9t2 + 24t. Find the total distance…

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Q: ind the point of intersection (xo, yo, zo) of the lines given as: L: x = 2 + t, y= 4+5t, z = 5 +t L:…

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Q: (e) Suppose that the functionf is represented by the power series f (x) =1- +(-1)*. - -- +... 2 4 8.…

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Q: For the functionf(x) given below, where x > 0, evaluate lim f(x). X00 f(x) = In(3x' – 3) – In(4x² +…

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Q: 02) Solve the D.E dy - (2x/1-y2)dx 0

A: The given differential equation is dy-2x1-y2dx=0

Q: x g"(x) sin(x- 1) X-1 x 3 8. 2 -1 (E) Find all x value(s) on the open interval (-2,5) where f(x) has…

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Q: Evaluate f Vr+ V?dx Oa. 3 am +2) +C (V2) +C can) Ob. 2 am +2) +C 30 om +C (25) Oc 2 an +m) +C O d. 5

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Q: Q1/ Estimate f (1.72) from the given data using Newton's Backward Difference Formula: 1.7 1.8 1.9…

A: we will use newton backward difference formula .

Q: |Find the average distance from the origin over all the points in the unit circular disk 2² +y? <1.…

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Q: Describe the largest set S on which it is correct to say that f is continuous хx* + ху — 5 а. f(х,…

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Q: A rectangular piece of cardboard has a size of 45 x 24 cm. This cardboard will be made into a box…

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Q: Find parametric equations of the line that satisfies the stated conditions. The line through (9, –5)…

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Q: (a).x = 61, y = - 4 + 7t O (r, y) = (0,4) + «(6, 7) ai + bj = 4j + 1(6i + 7j) O (1, y) = (6, 7) +…

A: topic - equation of a line

Q: Q4/ solve the equation by Newton -Raphson Method: F(x) = x* - 5x + 65 , start at x =2, accuracy…

A: Given

Q: Q5) Find volume of body bounded by z = 0 from below and z = 4- y from above inside y = x2 ,y = 4.

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Q: Q5) Find volume of body bounded by z? + y? + x? = 9.

A: Let's find.

Q: Egay wants to fence a rectangular grazing area along a straight river (no fence is needed along the…

A: Given problem:- Egay wants to fence a rectangular grazing area along a straight river (no fence is…

Q: An object moves with acceleration function a(t) = 5 + 2t – 9t². Its initial velocity is v(0) = 6 m/s…

A: Find out the position after t seconds.

Q: Consider Evaluate (ar +6r)e' (6r*+9x)e

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Q: Find f"(1) if Ax) = X+1. %3D 1 1 1/4 12 OOO

A: To find f'1 if fx=xx+1.

Q: Q2) Solve the D.E dy – (2x/1- y²)dx = 0

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Q: Consider a function () whose dertvative ') continuous as shawn below Graph of f'(x), NOT f(x) 1 5 -1…

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Q: Evaluate the following integral using Trigonometric Substitutions Method: dx y 9x2 + 16

A: We have to solve above question

Q: A. Evaluate the limit of a function using the concept of Special Limits. 1. lim t→0 t t2-3t+5 + t2-1…

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Q: 3. Find the area of the band cut from the paraboloid x² + y? – z = 0 by the planes z = 2 and z = 6.…

A: Let's find.

Q: Which series converge in the interval described by |x| < 1? 1. 1+x+x^2+... 2. x+x^3 + x^5+... a.…

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Q: -ions of the line through (-1, –2, 5)

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Q: Use cylindrical shells to find the volume of the solid generated when the region enclosed by the…

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Q: Q2) Evaluate the following integral using Trigonometric Substitutions Method: dx y = T9x2 + 16 %3D

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Q: Find f"(3) if Ax) = X-2.

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Q: Check the continuity of the function f(x). Explain why f(x) is continuous or not. x+1 =,x x2X > 1

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Q: Express the shaded area of the region shown below by double integrals of order of integration (1)…

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Q: n(A U B) = 25, n(A N B) = 5, and n(A) = 20 Find the value of y. A В 5 y Your answer

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Q: Find the volume of the given solid over the indicated region of integration. f(x.y)%3D4X+5y+7;…

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Q: Twins graduate from college together and start their careers. Twin 1 invests $1500 at the end of…

A: The question is based on the concept of Financial Management.

Q: 3 -1 3 0 Given F = show that: 19. –F" = (-F)" 20. (F")" = F m 2.

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