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Q: Solve the differential equation. x + 2y = 5-1, x>0 X- dy dx A There is no correct answer from among…

A: To solve the following differential equation.xdydx+2y=5-1x,  x>0

Q: each) Determine the domain of given functions. Write your answers in interval notation. a.) f(x) =…

A: We have given function  (a)  fx=2x-42x2-x-6 Domain is the values of x for which a function is…

Q: Calculate the Taylor polynomials T₂ and T3 centered at a = 2 for the function f(x) = x² – 3x. (Use…

A: nth Taylor Polynomial of f(x) at x=a :                Tn(x) = ∑i=0n fi(0)i!x-ai =…

Q: For the function, consider the following. (Hint: Use a graphing calculator.) f(x) = x4/3; find f(-8)…

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Q: Let v = PQ, where P = (3,5) and Q = (9, 10). What is the head of the vector v' equivalent to v based…

A: Given vector is v=PQ→, where P=(3,5) and Q=(9,10).

Q: Find ak for the series. Σ(x+13)* k k=0 (Express numbers in exact form. Use symbolic notation and…

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Q: Ду Use the graph of g to determine lim g(x). x-0 2 1.5 1 0.5 0 -0.5 -1 -1.5 -2 -2.5 -3 -3.5 -4 The…

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Q: 3) Erawate the definite Integral Јц (12x2-4х +3 )dx

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Q: Consider the function Evaluate the definite integral f, f(x) dx f(x) A 2 X if x 2

A: The function is given by fx = 2if x<2xif x≥2 To evaluate: The value of the definite integral…

Q: Q2) Find the values of constants (a)&(b) that makes the f(x)= ax + b 3 (-3 x≤-2 -2<x<4 x24 Con

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Q: 2. Find the area of the surface generated by revolving the given curve about the y -axis. (a)…

A: The surface area of the curve is given by

Q: MATH CALCULUS Solve the system or show it has no solution. If there are infinite numbers of…

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Q: B. Write the equation of a circle in general form given its center and radius. Then draw its graph.…

A: 1. center -3,-2, radius is 4 2. center -4,6, radius is 5 3. center 2,-4, radius is 5 Note:…

Q: Consider the following table of values of the functions f and g and their derivatives at various…

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Q: The body mass index (BMI) is a number that can be calculated for any individual by using the…

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Q: From the top of a 237-ft lighthouse, the angle of depression to a ship in the ocean is 25°. How far…

A: Concept: Angle of depression: The term "angle of depression" refers to the angle created when an…

Q: Let  f(x)=1/2x^2-1.  Find the slope  of the secant line that contains points P=(2,f(2)) and…

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Q: Find the first three nonzero term of Maclaurin series for the functiction 1 f(x) = cos (2x + (π/2)).

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Q: Make up a geometric series E infinity/ n=1 ar^n-1 that converges to the number 5 for the following…

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Q: The graph shows the depth it W in reservoir over a one-year period as a function of the number of…

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Q: Question 9 b B 11° b≈ A 12 Note: Triangle may not be drawn to scale. Given the triangle above,…

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Q: ● Question 2 60° 17 O The hypotenuse of a right triangle with base angle 60° and base 17 is

A: We have given a right angle triangle  base = 17 θ=600 Using formula    cosθ=base/ hypotenuse…

Q: Question 25 On a circle of radius 9 feet, what angle would subtend an arc of length 5 feet? (Round…

A: Given; Radius=9 feet Arc length=5 feet

Q: Consider the ellipsoid x² + 44²³ +2²2² = 18 Find an eg. the tangent plane to ellip sord at the point…

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Q: The unit cost, in dollars, to produce tubs of ice cream is $12 and the fixed cost is $7200. The…

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Q: Question 34 A cyclist is riding their bicycle on flat terrain at a speed of 14 miles per hour. The…

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Q: (c) 2e²x + 3xe* = 0,

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Q: find the derivative of the function i fol = 9x-9 √x 18+x81-1 - Adly (x

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Q: When a temperature of a pot in a kiln is 1, 200°F, an artist turns off the heat and leaves the pot…

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Q: Let F = (esy, sin4 x, cos 8 x). Calculate curl(F). curl(F) =

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Q: 27. Given that what is equal to? A. -85 16 B. -85 18 C.-5 18 D. E. -72 18 -90 18 -

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Q: Question 18 The angle between 0 and 360° that is coterminal with the angle 1184° is O Bost to forum

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Q: what is the volume of the following demensions? length= 4.23 cm width= 1.58 cm height= 6.80 cm

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Q: 1. Solve the following complex roots and plot the solutions if

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

Q: Question 32 A circular planetary ring of radius 70000 kilometers completes one full revolution in…

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Q: Given 5x -12y-4=0 write an equation of a line through the point (-5,-2) and perpendicular to the…

A: Given that equation of line is 5x-12y-4=0To find: equation of line  which is passes through -5,-2and…

Q: 36. f(x) - 8 x-2x²x2 If lim = 3, find lim f(x) x-2

A: As per our company guidelines, we are supposed to answer only the first question, please repost…

Q: 3 B. 13.333 ft/min C. 2.727 ft/min. -6ft As shown in the above picture, a 6 foot tall man is…

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Q: For the following​ function, make a table of slopes of secant lines and make a conjecture about the…

A: Topic:- application of derivatives

Q: 2. f (cos 5x −sin 5x) dx cos²5x

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Q: Q5. A Ferguson curve is defined by two Points (0, 0, 0) and (5,0,0) and two tangents [50] and [ 1-5…

A: Given data: Points at which Ferguson curve is defined (0,0,,0) and (5,0,0). Tangents at which…

Q: (C) Find parametric equations for the line that is tangent to the curve u(t)=1²1+ sect²j+ √² +3 k at…

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Q: 4. < y:5

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Q: Question 31 A hamster running in a wheel of radius 14 centimeters spins the wheel one revolution in…

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Q: Given the three function below, which expression equals (k∘b∘z)(x)? b(x)=9x k(x)=x^4-2 z(x)=…

A: (k∘b∘z)(x)=k(b(z(x)))

Q: Evaluate the integral S 10x dx

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Q: (1) In the given figure, ABCD is a square of side length 8 cm, BTRS is a square of side length 6cm…

A: Given data:- Part(1); Side length of square ABCD, a = 8 cm Side length of square BTRS, b = 6 cm Side…

Q: Write the expression in power form ax for numbers a and b. 24 (2√x)³

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Q: The unit cost, in dollars, to produce bins of cat food is $2 and the fixed cost is $11524. The…

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Q: Let  f(x)=1/2x^2-1.  Find the slope  of the secant line that contains points P=(2,f(2)) and…

A: Let  f(x)=1/2x^2-1.  Find the slope  of the secant line that contains points P=(2,f(2)) and…