1. Find the limit of the following: х* — 11x5 + 37x* +6х3 — 297x? + 621х — 405 - lim,-3 А. x→3 x° — 11х5 + 47х* — 114х + 243 х? — 459х + 405 4+ 2x lim,→o 3+2"x B. lim,0

Q: Consider the function f(x)=x2+6(5x−10)(x+4)f(x)=x2+6(5x-10)(x+4). For each prompt below, if no…

A: We need to find asymptote and intercepts.

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Q: 4x – 7y x - 2y Add: х — Зу - 3 Зу — х'

A: Given: 4x-7yx-3y+x-2y3y-x For adding given expression, we take L.C.M. and simplify it

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A:

Q: 1 Find I = dx. x2-2x+8 Choose the factorization of the denominator from the following: Question 1)…

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

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A:

Q: Compute f. F · dr, where F(x, y) = (8 + 21x², 4xy) and C is a line segment from (0,0) to (1,2). (Use…

A: Given F(x,y)=8+21x2,4xy2        (1) Line segment from (0,0) to (1,2) is y-0=2-01-0(x-0)⇒y=2x…

Q: 4) Calculate lim (√t-3, V-2, tan t-4 t-4 (-)). HINT: On the second component, you can factor t - 4…

A: To find:-

Q: 6. Determine the domain of the following: a. y = -3/14 + 3x b. y = V4 + 3x –- x² x+1 С. у %3 х(х-2)…

A: Domain of given function at which y(x) is defined.

Q: 1. What degree are the following polynomials (3.a and 3.b) and monomials (3.c and 3.d)? (a) f(æ) =…

A: Note: According to bartleby we have to answer only first three subparts please upload the question…

Q: Which of the following expressions simplify to 4x? y? (4xy) (4x) (&xy²) (2r°yz) y(2x²y)

A:

Q: Find lim (x,y) →(7,0) 7x - 5y #49 √7x-5y-7 7x - 5y-49 by rewriting the fraction first.

A:

Q: 5x' +8x² lim x→0 3x* – 16 r? 3

A: Cancel out the common factor from numerator and denominator than put the x and calculate limit.

Q: Solve the ODE y(4) - 4y" + 8y" - 8y + 4y = 0.

A:

Q: x- 1 lim Vx² +3 – 2

A: given limit

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Q: 4. that has the asymptotes x 7 and y = 6. Write an equation for the translation of y = 4 Oy=ー+7 -6 4…

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Q: 07 tanxtan2x + tan2xtan3x +. + tan5xtan6x-D14 tan6x calculate: tan x 15 10 20

A: It is known that tanA-B=tanA-tanB1+tanAtanB.

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A: Divide the Numerator and denominator of the given expression by x2

Q: a.) What is the domain of the function y =√x-4? b.) If f(x) = x^2 - 3x, find f(-1.8).

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Q: 13x? - 7x - lim I» 00 6x3 O -13 -0-

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Q: 2 x -dx 6. Jo 1-x

A:

Q: Solve for t in B=Numerator x+y over the denominator t+z

A: The given equation is,

Q: 2. Lim (3x+6x -8)

A:

Q: If f(x) = 3x- x^2+2, find the value of: a.) f(0) b.) f(3) c.) f(-3) d.) f(-7) e.) f(3/2)

A: Given: fx=3x-x2+2 To find: a.) f(0) b.) f(3) c.) f(-3) d.) f(-7) e.) f32

Q: )Lim. 2. H-HCOSX-2Sin x

A:

Q: If f(x, y) = 7x + 3exy, find the following (a) ax? (b) ду дх (c) Әх ду (d) ay? II II

A: we need find first and second partial derivative

Q: In AFGH, mZF = (3x – 15)°, m/G = (8x +8)°, and mZH = (2x + 18)°. %3D %3D What is the value of x?

A: In ∆FGH, m∠F=(3x-15)°, m∠G=(8x+8)° and m∠H=(2x+18)°

Q: Q. / 3sec3xtan3xdx sec3x +c -sec3x +c O None O tan3x +oс

A:

Q: Evaluate the following x4 + 4x³ + 7x² + 17x – 9 -dx | 1. x3 + 2x2 – 3.x

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

Q: 22 (2y + xy² ) = √7 + (y)²

A: The order of a differential equation is defined to be that of the highest order derivative it…

Q: The probability density of a random variable X is given in the figure below.

A: probability of x

Q: Draw y² = f(x) 1+ (1,-1) 2 (2.5,1)

A: We have draw the graph of y2=f(x)The procedure is given below