Which of the following is the exact difference fl(x) -x when x = O-x2-51 -52 0-x2-53 o-x2-55 1/3

Q: 1 avig srls ni, lim x→-125 x3-5X3+25 ant X3+3 1

A: The limit of a function (expression ) is a value of that function (expression ) approaches as the…

Q: Find the axis of symmetry: f(x) = x-5x+6 O x = -5/2 O x = 5/2 O x = 1/4 O x = -1/4 ype here to…

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Q: Q2) Is the ODE separable or non x² + 3y2 d, d, 2xy O no none of others O yes may reduced to…

A: Given query is to find the differential equation separable or not.

Q: Consider the following. g(x) - x* - 2x2 + 7 Find g'(x). g'(x) = Find the critical numbers of g(x).…

A: Topic - application of derivatives

Q: Consider the following. f(x) = 2x/ 16 – x², [-4, 4]

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Q: If f = 5x²y² - af at (3,1) XY then find O 28 O 20 O None O29

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Q: Which of the following correctly describes the end behavior of g(x) = -2x3 + x² - 4? O A. As X→ - ,…

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Q: f'(2) for (x- x)(x² +2)(x² +x- 1) S(x) = %3D x + 2 O 676/5 O 379/7 O 587/3 O 384/9 O 585/4 O 699/7

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Q: Answer the following items on a clean sheet of paper. Upload photos of your answer sheets showing…

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Q: For f(x) = 5x - 6, find the number c in (-2, 2) guaranteed by Rolle's Theorem. %3D (Use symbolic…

A: The objective is to find the number c in interval (-2, 2) using satisfying the Rolle's theorem, for…

Q: On what intervals is f(æ) = x³ +3x² – 24r+7 increasing? The graph is increasing on the intervals OD…

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Q: Consider the following. g(x) = x4 – 2x2 + 6 Find g'(x). 9'(x) = Find the critical numbers of g(x).…

A: The given function is g(x) = x4 − 2x2+ 6

Q: he domain of the composition: For f(x)=2x-5 and g(x)=√x+7, what is the domain of g of? terval…

A: Given query is to find the domain of the composite function.

Q: Calculate x given that it satisfies the relation 3* = 5x. This latter equation can be rewritten as…

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Q: (f) 1 x + iy + 1 I-iy

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Q: If f(x) = an(x – 1)²n for all æ, then f'(3) is equal to n=0 OA. 2nan-122n-1 n=1 В. 2 2na,22n n=1 OC.…

A: According to the problem, we have

Q: Given that f(2+ x) = The first N 499 terms are needed to estimate f(1) with truncation error < 103.…

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Q: 2x-3 for *く-S メ+4 %3D ーメ+3 for マ-S メ+2 for x) -5 メ+ヒ find *ビ" し 1n for order f(x) to メ- -5

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Q: What is the expansion of 1 f (x) = %3D Ο Σε' Σ 2n 2n Σ Next

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Q: if f (x) 9-x and g (x) = Vx, then the domain of (gof) (x) is: [-3,3] O [0, co0) O (-00, c0) O (-0,…

A: on solving this we get

Q: Which of the following correctly describes the end behavior of g(x) = -2x4 + 3x3 - x2 - 4? O A. As X…

A: We use the definition of the end behavior of the function to answer the given question.

Q: 4cos^2x use power reducing identities

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Q: ts] Transform the following to principal аxes: а. 5xỉ + 2x1x2 + 5x3 = 10

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Q: Suppose h (x) = ax³ + 11x². Determine a if h has an inflection point at x = 4. Show all your work.…

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Q: 2.Let feSs Such that:- +2345 f=(345 find ?

A: Given f(1234534511)

Q: Suppose X - x²(16). Find k such that P(X < k) = 0.01. Round your answer to 3 decimals.

A: consider, (1-0.01)=0.99  to obtain thecritical value to the left side

Q: Find the residue f(z) = Z²-22 (2+1)² (2²44)

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Q: Let f(x) = x³ + x + 4 and g(x) = 2x + 3 in Z, [x]. Then the remainder when dividing f by g is: O 4

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Q: 10. Which of the following rational functions has a hole? x-1 x+1' x² –1 x²+1° x-1

A: We have to describe that which of  the given functions has hole

Q: - 5(x – 9)(x + 8). Which of the following are true? Select all that apply. b. Suppose f(x) = - OAs x…

A: b) f(x)=-5x-9x+8c) f(x)=6500-x3

Q: Use f(x) = 2x – 4 and g(x) = 5 – x² to evaluate the expression. (a) (fon(-1) (b) (gº g)(-1)

A: given: f(x)=2x-4 g(x)=5-x2 a) (fof)(-1) b)(gog)(-1) f(x)=3x-4 g(x)=2-x2 a) f(g(0)) b) g(f(0))

Q: Suppose that f(x) =x², x20, and g(x) = x, x20. Typically, fog gof, but this is an example in which…

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Q: Po)=支+…宁= 1- 步 Assume it is true for kti -(1-ま)+ 上

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Q: (c) Show that : f(x) = x2 + x + 2 e Zg[x] %3D is irreducible. Further, find the order of f (2).

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Q: Lonstant Find the Valre or k fed ahich thhe $yotem of X, + Xx +Xg =/ 3x-X,-Xg = 4 2,+ Sx+5x3ニド…

A: The objective of the question is to find the value of k for which the system of equations is…

Q: = -5. Let p2(x) be the interpolating polynomial of f(x) at xo = Then, the error term in…

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Q: Find x 16 in. Show your work here. 12 in.

A: Given height is 16 in. and base is 12 in. To find x, Pythagoras theorem is used: Pythagoras theorem…

Q: 9x+5 Given that f (x) = find f-(x) AND prove by co 3

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Q: Let f (x) %3D 1 + 2x The coefficient of x* in the 8th Taylor polynomial pg is (No Response). (Write…

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Q: m(x)=3e^2x-4, find a formula for m^-1(x). Show all work using proper notation throughout.

A: We first replace m(x) by y and then switch x and y

Q: The expansion 1 + x + x² ... approximates (1 - x)1 if O x is not equal to 1 本 O absolute value of x…

A: The expansion 1+x+x2+.........approximtes 1-x-1

Q: Suppose f(x)=x^2+3 and g(x)=x-2. Which of the following is a formula er (f-g)(x)? *

A: Substraction of two function

Q: Hiw. Form a PDE from the followingg- O xyu= f (x²+ytu?)

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Q: Suppose If(x)-7| 0 such that |f(x) – 7| < 0.1 whenever 0< |x - 1 < 8. The values of 8 are 0<8sN.…

A: Given that fx-7&lt;0.7 whenever 0&lt;x&lt;7.

Q: Evaluate the pecewise defned funchan at the indicaked Values + 8if x4-1 1ラメッー if x >1 flx). f1-3)…

A: topic - functions

Q: where does xk come from

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Q: Find f'(x). fox) = 4x - 8e* (Type an exact answer in terms of e.)

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Q: (c) Show that for each real number x, | cosh(x)| < el and | sinh(x)| < el*l. (d) Show that for each…

A: Solution of part (c): coshx=ex+e-x2=12ex+e-x≤12ex+e-x But ex≤ex and e-x≤ex, ∀x∈ℝ Therefore,…

Q: Given the function h(x) = In(-x² + lx) with k a real number and k > 1. If h'(x) - -2x+k lx - x? %3D…

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