2 For the function f(x)=√x² +4, find f''(x). Then find f''(0) and f''(9).

Q: QUESTION 1 Find the solution to the given differential equation. "+8y'+ 16y=0 ✓3y" + 2y'+y=0 y"-4y"…

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Q: Use Descartes' Rule of Signs and the Rational Zeros Theorem to find all the real zeros of the…

A: Given  f(x)=x^3+3x^2-4x-12

Q: Identify the following number. Choose all that apply. -2*sqrt3   natural number  integer…

A: Given number

Q: Work Problem 1 ( ) Estimate the area X under the graph of f(x) = √√x + 4 from a = 0 to b=2 by using…

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Q: 25. Isoto 226R

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

Q: Suppose f is differentiable on R. Let F(x) = f(ex) and G(x) = ef(x). Find expressions for the…

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Q: Use L'Hôpital's Rule (possibly more than once) to evaluate the following limit lim 3x³+11x² 6x³-3…

A: The limit is given by limx→∞3x3+11x26x3-3. The limit is of the form ∞∞. Thus, apply the L'Hopital's…

Q: What is the equation of the midline of the function f(x) = 5.6 sin (1.2x2.3) +1.8? y = -2.3 Oy=-1.8…

A: f(x)=5.6sin(1.2x-2.3)+1.8we know mid line of sin function is x-axis on x-axis y is zero

Q: Solve the following differential equations 1) d²y dy +4² +4y=x²²e-2x₂ dx² dx

A: You have asked multiple questions, we will solve the first question for you. The rest one can be…

Q: When divided by x-1,x+1,x-2, and x+2, the polynomial P(x)=x^(2)+rx^(3)+ sx^(2)+tx+U leaves…

A: Since P(x) leaves no remainder when divided by (x-1), (x+1), (x-2), and (x+2), it follows that these…

Q: Graph y=2+ sin 0. First choose the appropriate starting graph from the ones below. Then transform it…

A: NOTE: Refresh your page if you can't see any equations. . the given function is

Q: 18. $300 $3

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Q: 2. Let (an)1 be a sequence with positive terms, such that lim an+1 n→∞0 an [Hints: - Recall that lim…

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Q: Consider the vectors à = 3i+j-k, b = − 37 - j + k, d = i +3j+ 4k, Which pairs (if any) of these…

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Q: Given f(x, y) = 4x5 - 2xy - 3y¹, find fz(x, y) = fy(x, y) =

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Q: Suppose that f is a function given as f(x) = 2x² + 5x. Simplify the expression f(x + h). f(x + h) =…

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Q: Find the accumulated present value of an investment over a 10 year period if there is a continuous…

A: Given R(t)= 12000 K=1.3% T=10 years.

Q: 12) y = ex²/2 solves y' = xy

A: if given function is solution of differential equation than it will satisfied it d dx(ex)=exd…

Q: ving the ial value lane the differential equation. problem depends In each of Problems 13 through…

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Q: A graphing calculator is recommended. A particle moves according to a law of motion s = f(t), t≥ 0,…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: Question 1 (n) (n-1) Let yyy be solutions of the homogeneous nth-order differential equation a (x) y…

A: According to principle of superposition the linear combination is also solution of the given…

Q: Assume that f(x) and g(x) are differentiable for all x. Let h(x) = xf(x), find h'(x). h'(x) = help…

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Q: x(t) Find the point at which the line y(t) = z(t) = = 6 + 2t -3-2t intersects the zy plan - 5 - 4t

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Q: Evaluate the double integral  SSDxydA where D is the triangular region with the vertices (0,0)…

A: ∬DxydA, where D is triangular region with vertices (0,0), (3,0) and (0,1).

Q: 4) y = 3 - x + xlnx solves y' = lnx

A: Given query is to find expression is solution of differential equation.

Q: x=6667 That's it! To maximize its profits, how many copies should Phonola produce each month? (Round…

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Q: 3+n-2n² 7n² + 1 symbolic notation and fractions where needed. Enter DNE if the sequence diverges.)…

A: we will find the required.

Q: Graph the following equation using shifts of a basic function. f(x)= x2 + 2 O O 7 -3 * 31

A: Use basic function

Q: Apply L'Hôpital's Rule to evaluate the following limit. It may be necessary to apply it more than…

A: To evaluate the given limit of the function

Q: Write a polynomial f(x) that satisfies the given conditions. Polynomial of lowest degree with zeros…

A: Given: Polynomial of lowest degree with zeros of -1(multiplicity 1), 2( multiplicity 3,)and  f(0)=16

Q: Let g(x) 4x 2. Find f(x), given that the equation (gof)(x) = x + 7 is true for all values of x.…

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Q: D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item,…

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Q: Find the volume of the tetrahedron shown using the order dz dx dy. The tetrahedron is bounded by the…

A: As per our guidelines we are supposed to answer only one question.kindly repost others question as a…

Q: Use the appropriate limit laws and theorems to determine the limit of the sequence. 9 a₁ = (1 + ²)²…

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Q: S²₁ Sinmxsinhxbx = 2 x if m=n So min

A: To prove:- ∫-ππsinmxsinnxdx=0if m≠nπif m=n

Q: The graph of y = f(z) has the following features: • lim f(x) = 4 818 ● ● lim 8118 lim f(x) = -1 f(x)…

A: Given the features of the graph  for x =-∞  , f(x) = -1

Q: wait so for b) the given point is 1?

A: The answer is in step2.

Q: Use the appropriate limit laws and theorems to determine the limit of the sequence. 8n² + 5n+3 5n² +…

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Q: If f(x) = (2x + 2) ¹, find f'(x). Find f'(1).

A: Derivative

Q: 749 11 12 13 14

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Q: Let f(x,y)=√x² - y² Which of the following regions are in the domain of f D Ос D to B

A: Here we have given a function: f(x,y)=x2-y2 As we know that Domain of a function is the complete set…

Q: On a hot Saturday morning while people are working inside, the air conditioner keeps the temperature…

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Q: Find the limit and determine if the function is continuous at the point being approached. lim cos…

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Q: Given f(x, y) = x¹ - 5x²y³ - y², find

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Q: For f(x)= x + 1 and g(x) = 2x²-x-3, find (g- ^)(x). O 2x²-2x-2 O 2x²2-2x-4 O 2x2² 42x+4 O -22²-2

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Q: Write the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the…

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Q: The following functions are inverses of each other. f(x) = 5x-9 and g(x) = * +5 о True о False

A: Given query is ture false.

Q: The distance of a swinging pendulum from its resting position is given by the function d(t)=…

A: d(t)=3.5cos(5t)we know the maximum value of cos fuction is 1

Q: Find the maximum value of f(x,y) = x5y8 for x,y > 0 on the unit circle

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Q: Graph the following equation reflecting a basic function. f(x)=√x O о fam " TAU

A: