B: use Lagrange interpolation formula to determine the relationship between the force and velocity and evaluate the force at v = 40 m/s (use the following table): Velocity (m/s) Force (N) 5 5 20 60 50 200 100 300

Q: Q5/ A: Solve the following differential equation by Laplace : dy dx || -6, y(0) = 3

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Q: Given f (x) below, select ALL of the true statements. lim, 4+ f(x) = 1 lim-4 f (x) = 1 lim, 4- f (x)…

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Q: Find the solution of the differential equation (x + 3y)dx − xdy = 0. a. 2y - x = Cx³ b. 2y + x = Cx³…

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Q: 6x5x², find ƒ'(-4). If f(x) = 5 + 6x 5 +

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Q: If p is the current frequency of the resistance gene in a model for the spread of drug resistance,…

A: We need to find the value of  limp ->19p2-2pp2-2

Q: Let f(x)=3x+5f(x)=3x+5 and g(x)=4x2+2xg(x)=4x2+2x. After simplifying, (f∘g)(x)=

A: We can find the composition of the function.

Q: 4 + 9x ≤ f(x) ≤ 12 + x²

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Q: The half-life of freshly-baked brownies at your house is 18 hours. If 200 brownies were present…

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Q: Find the limit of the following:  a) lim x→∞ (1 - x2 / x3 - x + 1) b) lim x→∞ (x - x√x / 2x3/2 +…

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Q: 11) y = −4x + 8 4 2 1 -4x + 8 y -4(4) 48-8 (-4(2) +8 -4015+8/4 -86 4 -2 8 6 2 10 121 4 -2 -4 -6 (x,…

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Q: Pl-8] state the order, degree & Linear/ non-Linear DE. and identify as form, differential form? Q1…

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Q: Find the solution of the DE (cos(x) + xcos(t))dt + (sin(t) – tsin(x))dx = 0 a. tcos(x) + xsin(t) = c…

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Q: Find the horizontal asymptotes of f(x) = √15x4-2 2x²-3 (Use symbolic notation and fractions where…

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Q: f(4+h)-f(4) h (Express numbers in exact form. Use symbolic notation and fractions where needed.) Let…

A: The function is given by fx = 1x Formula used to find the limit is f'4 = limh→0f4+h-f4h To evaluate:…

Q: Example 3: The formula for converting a temperature in degrees Celsius into degrees Fahrenheit is…

A: We need to solve function problem.

Q: igeonhole Principle Show that in any set of 41 consecutive integers there is exactly one divisible…

A: Pigeonhole Principle   (1) Show that in any set of 41 consecutive integers there is exactly one…

Q: If f and g are continuous functions with f(2) = 4 and lim [2f(x) − g(x)] = 2, find g(2). x → 2

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Q: The total cost (in dollars) of manufacturing x auto body frames is C(x) = 30,000+400x. (A) Find the…

A: Given, The total cost of manufacturing x auto-body frames is C(x)=30,000+400x (a) To find the…

Q: B: Evaluate the following: 2- 6r (5.66) 5r (0.66)

A: Γ(5.66)=67.905 Γ(0.66)=1.366

Q: Determine the solution of the DE-= 0. dt a. z = c + √t b. z = c√t c. z=c-√t C. d. z= c/ e. Cannot be…

A: The given differential equation is dzdt-z2t=0 WE have to find the general solution for the…

Q: 2. Use the different differentiation rules and formulas to determine the derivative of the following…

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Q: Which of the following DE has no degree? A y (3y"-x) ¹1/2-2xycos (x²) =0 Bye-In(y) = 0 y³sin (y"-x)+…

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Q: 3. Find the slope of the tangent line at the point (4,1) on the graph of f-¹ if f(x) = x³ + x + 2.

A: The given function fx=x3+x+2 We have to find the slope of the tangent line at the point 4,1 on the…

Q: h-x² + ₂x [[x-h]] + xh x² + 3x-4 [[X-h]] +xh th-EX lim X⇒ −4° lim

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Q: Use the four-step process to find f'(x) and then find f'(1), f'(2), and f'(3). f(x) = -2x³ f(x)=

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Q: C Homework - Vol2 - Section 2.4 - Arc Length of a Curve and Surface Area.pdf…

A: Given; y=sqrt(2), from x=2 to x=6.

Q: 2. Are the planes 2x-y-4z = 10 and x - 2y + z = 4 parallel or orthogonal?

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Q: (dz) dt If (z=x. y), where x = cos (t) and y = sin (t) Q3. Use the chain rule method to find

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Q: Given that f(x) = (x-7)2 and g(x) = 7 - 4x, find: a) (f + g)(-3)- b) (f-g)(-3)- c) (fg)(-3)- d)…

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Q: 4.For the 2 curves xy = 8 and x² = 64y, find the angle between the two tangent lines at their point…

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Q: 2. (1 + 3/2x − 1)² = 3 + √3/2x − 1

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Q: 1. For the function y = 5x³ - 4x a. Determine the average rate of change between x₁=3 and x₂ = 5. b.…

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Q: Find all points on the curve y = 10 tan x,-/2<x</2, where the tangent line is parallel to the line…

A: Let's find point of tangent.

Q: 7. Graph y = 3sec(x+π) - 1 Determine the following: Domain Range Amplitude Period Frequency

A: Topic:- calculus

Q: w!! [[x-h]] +xh X> -4° x² + 3x-4 Will [[x-h]] + xh X>-4² x²+3x-4

A: I am attaching image so that you understand each and every step.

Q: x+y² Sketch the contour curves for f (x, y) = 4x-2 and k = 0, 2, 4

A: Let's draw the contour curves.

Q: x)=(x-7)e - 6x f(x) is increasing, the intervals on which f(x) is decreasing, and the local extrema.…

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Q: asymptote(s)

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Q: The equation of motion of a particle is s= t3 - 27t, where s is in meters and it is in seconds.…

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Q: Find the area of the surface generated by revolving the curve y = √2x-x², 0.5≤x≤ 1.75, about the…

A: I am attaching image so that you understand each and every step.

Q: b. y = 2x² - 1 x + 1

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Q: and the profit function if cost and revenue are given by C(x) = 194 +6.5x and R(x) = 7x-0.09x² e…

A: Given query is to find the profit function.

Q: Which of the following is the particular solution of the differential equatio y(3x + 2y)dx - x^2dy =…

A: Given: y3x+2ydx-x2dy=0   when y(1)=2

Q: (1, 1) 183. x=5y3/2 from y = 0 to y = 1

A: We need to find arc length. NOTE - As per Bartleby's guidelines we can solve one question from…

Q: 45. a¹ + a²2=0

A: Find roots

Q: Approximate | b sintax) dx bs c√x 0 using the first four terms of the series if a = 5, b = 11, c =…

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Q: Evaluate the piecewise defined function at the indicated values. if x≤6 6x-3 if x>6 f(x) = 0 - {²x-3…

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Q: Evaluate ∫ (3x2 − 20x )dx .

A: Given, ∫3x2-20xdx

Q: Find the solution of the DE y' a. y² = -x² (1-In(kx²)) 2 In(kx) 1 y² = −x² (2 + ¹n(kx²)) 2 d. y² =…

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Q: Decide if each set of inequalities provides sufficient information to determine lim f(x), and if it…

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