Question
Need help with calculus Question 1(Multiple Choice Worth 4 points) The slope of the tangent line to a curve at any point (x, y) on
Need help with calculus
Question 1(Multiple Choice Worth 4 points)The slope of the tangent line to a curve at any point (x, y) on the curve is. What is the equation of the curve if (4, 1) is a point on the curve?
x2 y2= 15x2+ y2= 15x + y = 15xy = 15Question 2(Multiple Choice Worth 4 points)
The particular solution of the differential equationfor which y(0) = 80 is
y = 80e2ty = 80 e0.5ty = 79 + ety = 80e0.5tQuestion 3(Multiple Choice Worth 4 points)
Which of the following is the general solution of the differential equation?
y2= x2+ Cy2= 2x2+ Cy2= 4x2+ Cx2 y2= CQuestion 4(Multiple Choice Worth 4 points)
The temperature of a cup of coffee varies according to Newton's Law of Cooling:, where T is the water temperature, A is the room temperature, and k is a positive constant. If the coffee cools from 180F to 100F in 10 minutes at a room temperature of 75F, how long (to the nearest minute) will it take the water to cool to 80F?
13182127Question 5(Multiple Choice Worth 4 points)
Find the specific solution of the differential equationwith condition y(3) = e.
None of these
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