by the ea vation 2xy +X=Y". XP |3D

Q: Suppose that f(z, y) = x² – zy + y? – 5æ + 5y with z + y? < 25. 1. Absolute minimum of f(x, y) is 2.…

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Q: X+0.4Inx 04. lim,+ X+ 3lnx

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Q: 2 + In² x dx x(1 – In x)² 2

A: The given integral is: I=∫2+ln2xx1-lnx2dx   ...1   As we know the Power rule: ∫xndx=xn+1n+1+C ; n≠-1…

Q: how do you solve series and sequence questions? Explain in words.

A: Solution: for sequence and series , 1st you should know about the sequence Because sequence:…

Q: Graph the line that passes through the point (0,6) and has a slope of - 4. OA. О в. Oc. OD.

A: Topic = Geometry Correct option = B

Q: 8 Given a function: f(x) (х-7)(х-1) Write down the definition that lim f(x) = L = 1| 8 oProve that…

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Q: Graph the function. 6x + 4, if x< 0 f(x) = 5x2 - 3, if x20 OA. OB. Oc. OD.

A: given function is f(x)=6x+4, if x&lt;05x2-3,if x≥0 so we calculate the values of f(x) for few values…

Q: (zx" xy') dx-3xy dy 2-

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Q: 3. y? = -x ,x² + 3y + 4x + 6 = 0

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Q: (c) SUPPLY RATE When the price of a certain commodity is p dollars per unit, the manufacturer is…

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Q: Determine whether the vector field is conservative. If it is, find a potential function for the…

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Q: Let y be defined implicitly by the equation 8a? – 10y = 7 Use implicit differentiation to find the…

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Q: dx sinx+cosx

A: Follow the procedure given below.

Q: Find the limit 4x2+17x lim x+0 ex-1 a. 1 17 b. None of these. c. с. О O d. 17 е. 1

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Q: Find the directional derivative of the function f(z, y) = In(z° + y*) at the point (3, – 1) in the…

A: We can solve this as follows:

Q: Given the function f defined as: f: R-(2} R X+4 f(x) = %3D 2x-4

A: Here, the given function is: f:ℝ-{2}→ℝ and f(x)=x+42x-4

Q: QI: A) Solve the following initial-value problem: x e* dx + (y- 1)dy = 0; y(0) = 0 %3D B) Solve the…

A: As per the guidelines I am supposed to do the first question among multiple questions. So here I am…

Q: Lit Pibrithe plane comtrining the porente (1-1:0). (1:0-1) and (0-1-1)- and Pabetheplane usith…

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Q: Find the area between the curves. x= - 5, x = 3, y = 2x2 + 12. y = 0 The area between the curves is…

A: Given :y=2x2+12x=-5 to x=3

Q: . lim, 1 -2 Inx x-1

A: To evaluate the given limit

Q: 1. For the right triangle pictured below, find the exact values of each of the following (no…

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Q: Find dy If y=1-t and x2 dx

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Q: 1 -2 Inx x-1 X lim, 'x→1

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Q: Find the Integral. (Use C for the constant of Integration.) dx

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Q: dy Use implicit differentiation to determine given the equation zy + cos(x) = e". dz dy y + sin(z dr…

A: The detailed solution is given below Thank you

Q: Evaluate the integral: V3 S arctan () da *Input answer as decimal round-off to 2 decimal places.

A: Given :∫13arctan1xdx

Q: Evaluate the limit 25 – b lim b→ 25 5 – vb -

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Q: 8 Given a function: f(x) = (х-7)(х-1) Write down the definition that lim f (x) = L 8 OProve that lim…

A: Substitute x= 5 in the function and find the limit

Q: 1. Using the vectors u = [4, -3] 3 = [7, 1] and w = [-5, 3], evaluate the following, if possible. If…

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Q: (a) Use the trapezoidal rule to approximate the integral. | (4x° + 4) dx = - 1 (Round the final…

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Q: 7. A(2,–3) and B(5, 1) are two points in R². Determine the following: a) AB b) |AB| c) a unit vector…

A: We can solve this as follows:

Q: In R', the equation x² + y + z? = 4 describes a sphere of radius 2. Select one: True O False

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Q: Harmonic Sequence Solve the following harmonic sequences. 1 1 1 4. What is the sixth term of the…

A: We have to find the sixth term and second terms in the following harmonic series.

Q: Find the flux of F(x, y, z) = 4а, 32 + 2?, across the positively oriented surface 2 S given by R(u,…

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Q: if the Flo)==

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Q: Find the derivative of (2r+1)= (x) 8 For the toolbar. press ALT+F10 (PC) or ALT+FN+FT BIY S…

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Q: 29. Look for the volume of the solid produced by rotating the region enclosed by the graph f(x) = 2…

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Q: e) What are the domain and the range for this situation?

A: Topic:- calculus

Q: To find two real numbers whose sum is 23 and whose product is maximum, we should find the maximum…

A: We have to choose correct option

Q: For the given power series, which one is the interval of convergence? x2n Σ (-3)" n=1

A: We can solve this as follows:

Q: Find (9x? - 8x + 2) dx. (9x² - 8x + 2) dx²

A: We know, ∫xndx= x(n+1)/(n+1) +C , C is a constant and for any real number n.

Q: Find the horizontal asymptote of the given function. 4x? +9 f(x) = 4x -9 2 O A. y= - 9 O B. None O…

A: To find the horizontal asymptote of the given function.

Q: HiW:-solve the P.D.E Uxx+ Uyy-lolx++lo) U lox) = UC013) = ULY20) = U1Y,3) = c %3D

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Q: 2. Determine the value of c, so the given vectors are perpendicular: u=[-4c, 3], v = [-1, 2]

A: L

Q: 16 3. The value of is: D) A)

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Q: Evaluate the following integrals. Please give me complete, neat, and organized solutions and boxed…

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Q: PROBLEM 5: Find the general solution to the given differential equation using a method of your…

A: The differential equation Mdx+Ndy=0 is said to be exact if ∂M∂y=∂N∂x. The Solution of the…

Q: [1 2 1] Given A = 2 3 1 4 0 1] x, C =-2 1 o and D=[2 1 4]. 5 B =-2 w 3 4 2 y 3 z [-2 a (a) Find the…

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Q: Find an equation ( in point - nomal form) of the plane containing the point (1.-3, 5) and the line…

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Q: 1. Which of the following relations is FALSE. A) (ab)" = a"b" B) C) (a")" = a"* D)

A: Note: As per company policy we are supposed to solve only 1 question. So, kindly repost others.…