02/17/21
Calculus and Limits
[5 pts] For each part below, give possible formulas for two functions f(x) and g(x) thatsatisfy the given condition.(a) lim x-->1 f(x)/g(x) = 0(b) lim x-->1 f(x)/g(x) = 1(c) lim x-->1 ...
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02/16/21
Calculate the work done by this force on the mass
1) A force, F = 43.5Nî + 28.0Nj is exerted on a mass, m = 12.0kg and moves in the x-direction a distance of 15.0m.2) Determine the angle between the force and displacement vectors. Use the dot...
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02/16/21
Find the area between the graph of f of x equals the product of x and e raised to negative 1 times x squared power and the x-axis for the interval (0, ∞). Your work must include the proper notation...
Find the area between the graph of and the x-axis for the interval (0, ∞). Your work must include the proper notation and show the antiderivative. If the integral diverges, show why.
02/15/21
Energy and work problem
A 40 kg body starting from rest falls through a vertical distance of 0.25m to the ground, using energy methods,a) determine its kinetic energy just before it hits the ground,b) determine its...
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02/13/21
Partial fraction derivative
Need help on this problem appreciated it thank you very much. It is talking about the partial fraction derivative of this function below. Please provide steps so I can understand how it needs to be...
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02/12/21
Can someone explain me the logic behind this question
A raindrop has a mass of 7.5 10-7 kg and is falling near the surface of the earth. Calculate the magnitude of the gravitational force exerted in the following.a) on the raindrop by the earth b)on...
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02/10/21
Contour Integral question
Evaluate the contour integral (e^z)/z(1-z)^3 dz with the circle |z| = 2 using residue theorem.What will be the exact answer?
02/09/21
Evalaute contour integral
Evaluate the contour integral [(z+3)/(z)(z-1)^2 (z-2)]dz where c is the circle |z|=5/2 by using the residue theorem.What would be the final answer?
02/05/21
Write an equation for a rational function with:
Vertical asymptotes at x = -6 and x = -2x intercepts at x = 2 and x = -3Horizontal asymptote at y = 10y=
02/05/21
WHat is the slope and are there any points where the slope is not defined?
Find the slope of the tangent line to the ellipse x^2/16 +y^2/4 = 1 at the point (x,y). slope = ?Are there any points where the slope is not defined? (Enter them as comma-separated ordered-pairs,...
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For each pair of functions f(x) and g(x) find the following.
f(x) = x^6 + 2; g(x)= 1/2a. f(g(x)) = b. g(f(x))=
02/05/21
Ratio of 2 kinetic energies
What is the ratio of two bullets with 1st having 2.4J of kinetic energy and 2nd 9.6J of kinetic energy?
02/04/21
What is the horizontal asymptote for y(t) for the differential equation?
What is the horizontal asymptote for y(t) for the differential equation ?
A
y = 50
B
y = 10
C
y = 2
D
Let P(x, y) mean that x is a reciprocal of y.
a) Let Q+ be the set of positive rational numbers. Consider the following statement: ∀x ∈ Q+, ∃y ∈ Q+ such that P(x, y). Is this statement true or false? Explain.b) Now change Q+ to Q, the set of...
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