Identify the characteristic equation of the following differential equation and the roots of the characteristic equation: 4y"-4y'+y=0

Q: Differentiate the function. 4 (25³ + 4)¹ f'(s) = f(s)

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Q: -2 0 -2 4. a) P(t) = [p(x)dx, where p(x) is given by the graph above. Determine the t -…

A: 4) a) Pt=∫0tpxdx, where px given in the graph. We have to find the local minimum of Pt. b) We have…

Q: Find the instantaneous rate of change of y at xo = 2 8 X-5 with respect to x

A: Given: Now,        y'=8x5'     =81x5'     =8x-5'     =8-5x-5-1    =-40x6

Q: A person x inches tall has a pulse rate of y beats per​ minute, as given approximately by y=586x−1/2…

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

Q: -.027

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Q: QUESTION 19 Find the points of inflection. f(x) = 2x³ + 2x+6 O (2.0) O (0,6) (6,0) (0, 2)

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Q: The graph of g(x), shown below, can be represented in the form g(x)= 8 a x-b + C.

A: Given :gx=ax-b+c

Q: For each function, sketch a graph of y=f(x). Then state the domain and range of y = √√ƒ(x) 4) f(x)=…

A: We have given a function f(x). We have to draw a graph of f(x)  .

Q: Problem 5 (a) Find the area enclosed by the x-axis and the curve x = lnt, y = t² − 5t + 4.

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Find the divergence of the field. F = ze xyz + xe xyzj+ ye8xyzk div F =

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Q: Given the vectors = (-3, -2) and = (5, -7), find 4u - 2V.

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Q: Please help answer question 7 and 8 thank you

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Q: (3-x² if x ≤ 1 For the function f(x) = if x > 1 Theorem is satisfied. Then find all values of c on…

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Q: Evaluate the definite integral. 3 S²v 3x + 16 dx

A: Given query is to find the integral.

Q: Which of the following expressions is not equivalent to the expression below? 12/6 Select one: O a.…

A: we want to find out which expression given below is not equal to the given expression 126

Q: The set of z E C that satisfies the condition |z| = |z+i|is O (A) empty O (B) the intersection of…

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Q: Sketch and describe the locus of points in space that are equidistant from three noncollinear points…

A: Here, three non linear points are D, E and F which are equidistant from locus of points in space.…

Q: (a) (b) (c) Calculate the following antiderivatives: 13t-5t7 - 5 dt = I 45/4 + 6.5 √√u du = 17/3 dx…

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Q: If f(x) = 7√√-3 and g(x)=√√x +9, what are the restrictions on the domain for the combined function O…

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Q: Given

A: Topic:- application of algebra

Q: Let X and Y be non empty sets. Define the following terms giving an example in each set. (i). A one…

A: One -one function: A function f : X → Y is defined to be one-one (or injective), if the images…

Q: A cylindrical can, open at the top, is to hold 200 cm³ of liquid. Find the height and radius that…

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Q: dy Find dif sin x + 2 cos 2y) = 1 dx

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Q: Write a mathematical expression that describes the quantity shown. Five more than three times a…

A: Five more than three times a number x.

Q: Reduce the matrix to its reduced echelon form. 49-5 32 5 1 -88 02 -11 5 5

A: Given: 49-532515-88025-11

Q: x² x-0 1-cos(3x) (x² + k, Q12: f(x) = (x-3, a) k = 2, m = -2 Q11: Lim = a) 3/2 x≤1 x>1 b)2/9 c) 1/2…

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Q: 2) Determine the sum it & converges of the infinite series if 26) 2/7 (-1²-13-2)

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Q: 15. Welders use a logarithmic scale to identify protective eyewear. The shade number, n, is given by…

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Q: etangle whose perimeter is 10 is: A) Q12:The horizontal asymptotes of f(x) = (√4x²+x) are: A)y = 12…

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Q: my question is for the highlighted parts, can you explain how you got the exponent -3/4 and -7/4?

A: Explaining the highlighted parts

Q: Q1: f(x) = Q2:f(x) = {x² +m, kx-3, A) k = 2, m=-2 x² Q3: Lim x-2 x²-x-2 has a x ≤ 1 x>1 =; A) B)…

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Q: f'(x) = 5ex + 2/5 ४ Select one: O True O False Give your reasons + -6 | 5 en

A: Topic:-  application of calculus

Q: dx Q5: If the line 4x + 2y = 5 is tangent to the graph of y = f(x) at x = 3, then Lim f(x)-f(3) x-3…

A: given line 4x+2y=5 is tangent to y=f(x) at x=3

Q: Use the parent function f (x) = e: (a) Write a function whose graph has been reflected across the…

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Q: part 1 Given the function f(x) = (x² - 9) defined on [-2,2] 1. f(x) has a critical number at x = 2.…

A: Given f(x)=(x²-9)-2/3 To get critical point we put f'(x)=0 So, f'(x)= -2/3(x²-9)-5/3*(2x)

Q: c. Find r' (t) and graph r' (t) on the same graph as r(t). Distinguish each by using different…

A: Please see the below picture for detailed solution.

Q: Determine whether the sequence with the formula {an} = e¯n sin n is convergent or divergent, if it…

A: The given sequence can be written as        {an} =  (sin (n)) / en

Q: absolute maximum at x = a)-2 has a x²4x42 at x-2: a)Hole Q6:The local linear approximation of…

A: Linear approximation of function, f(x)=x2 at x=1

Q: The intensity, I, of a light source varies inversely with the square of the distance from the…

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Q: reate a polynomial function (least degree) with integral coefficients.  The polynomial needs to…

A: Given zeros of polynomial are 3i,3+3i

Q: 5 Suppose is the inverse of a differentiable function f, and let G(z) 1/f-¹(a). If f(4)-5 and…

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Q: (b) For the given curves, y = (x + 1)², y = x + 1 (1) Sketch the region enclosed by the given…

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Q: A) B)= C)-2 D) 2 Q6:The local linear approximation of f(x) = x² at x = 2 is: A) 2x - 1 B)4x - 4 C)…

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Q: mated by N() - 1700 ||3An(0.124) — where IS 100 12: Find N(46). Round to the nearest whole number.…

A: Given query is to find population at t =46

Q: Calculate the simple interest rate. (Round your answer to one decimal place.) P = $2700, I = $117,…

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Q: Given a = 23 in., b=37 in., and c=41 in., find the other angles of all possible triangles. Round…

A: We need to find out the remaining measures of triangle.

Q: 3. Inx si sv² flax ye ² dz dx dy Y 0 S

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Q: 4. Let the function f: R-{} → R be defined by f(x) = x-5 2x - 3 Prove that ran(ƒ) = R-{}}.

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Q: (a) Find the power series representation centered at x = 0 for the function and determine the radius…

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Q: Find​ (A) the leading term of the​ polynomial, (B) the limit as x approaches ∞​,and​ (C) the limit…

A: Given; p(x)=13+3x6 −8x7