y^ (4) + y”” + y” = 0

Q: Find the solution of the equation y= 2x -x- 10 in the interval (2, 4] using derivatives. You can use…

A: To solve an equation  f(x)=0 using derivative of function, we can use the formula…

Q: Find the equation of the line tangent to the graph of y = 2x - 8x2 + 2x -6 at x = 2. | %3D

A:

Q: 6. Parallel to the line Y = = -}(x – 100) – 99, 3 4 passing through (1, 3)

A: Given query is to find the equation of the line passing through (1,3) and parallel to the line…

Q: A point is moving on the graph of y³ = x². When the point is at (-512, 64), its y coordinate is…

A: Given, A point is moving on the graph of  y3 = x2. When the point is at -512, 64, its y coordinate…

Q: An equation of the tangent line to the curve y= 4x2-8x-5 at the point (-1, 5) is O y14x-9 Oy 14x71 O…

A: The curve is given by,

Q: sketch the shifted exponential curves y = 3x + 2 and y = 3-x + 2

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Q: Find the equation of the line normal to x3y-2xy2= - 4 at the point (-2,1)

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Q: Ununoctium decays naturally at the rate proportional to the original quantity. If there are 20 grams…

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Q: Find the formula for a parabola with its vertex at (9,4) and with a second derivative of -3. f(x)=

A: let's equation of parabola is given by y=ax2+bx+c                                              ..1…

Q: Find the third derivative of y = (6x - 1). Show your %3D in negative exponent.

A:

Q: Find y" by implicit differentiation. 3x3 + 4y3 = 2

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Q: at the point (2, –1). Find the maximum rate of change of f(x,y): x2 + Y

A: For maximum rate of change we need to calculate magnitude of gradient bat point (2,-1)

Q: Suppose 275 trout are seeded into a lake. Absent constraint, their population will grow by 75% a…

A: Given problem Given that   Suppose 275 trout are seeded into a lake. Absent constraint, their…

Q: Find y" by implicit differentiation. 2x3 + 3y3 = 2 y" :

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Q: Why is the equation nonhomogeneous sometimes?

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Q: find the derivativey=log(to the 4th) time (2x Third -6x)

A: To apply the rules for derivative of composite functions

Q: Suppose 175 trout are seeded into a lake. Absent constraint, their population will grow by 45% a…

A: At initially 175 trouts are present,Population will grow by 45% a year,Maximum trouts which can be…

Q: 9). Find the curve whose slope at any point is 3x – 5 that passes through point (5,3).

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Q: Find y" by implicit differentiation. 2x3 + 3y3 = 2 y" =

A:

Q: Suppose 150 trout are seeded into a lake. Absent constraint, their population will grow by 35% a…

A:

Q: Suppose 225 trout are seeded into a lake. Absent constraint, their population will grow by 60% a…

A: Since the growth rate is given in terms of percentage for first of all we will convert into decimal…

Q: at the line x = 3. %3D

A: Find the volume of the solid generated by revolving the region between the parabola  x=y2+1 and the…

Q: Suppose 175 trout are seeded into a lake. Absent constraint, their population will grow by 60% a…

A: Recall: Logistic growth model   P(t)=m1+m-PPe-ktWe have, P=175, m=2000, k=60%=0.60, t=5 years

Q: A small newspaper company is downsizing and has lost employees at a steady rate. Twelve months ago…

A: Multiple questions-"As per our guidelines we are suppose to answer only one question.Kindly re-post…

Q: Locate root of the equation x +x- 2 = 0 using fixed point method.

A:

Q: 17. Passes through the point (2, 1) and is perpendicular to y = -x+ 3.

A:

Q: A population of 200 rodents is growing at a rate of 5% per month. What equation model can represent…

A: The exponential growth or decay is modelled using the equation, f(t)=a(1±r)t, where a is the initial…

Q: Find the equation of a curve going through the point (3, 7) and having slope 4x² – 3 at (x, y).

A: Given ,Slope of curve is 4x2-3Thereforedydx=4x2-3Taking integationon both…

Q: 8. Find the point on the curve y = √2x 3 from the point (1, 4)-

A:

Q: Еxample 5 1 1- Vxdx ха 0,

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Q: Find the slope of the curve y = 2x2-3x at point (1,3) O 2 O 3 O -2 0 1

A: We   have to find slope

Q: Suppose 275 trout are seeded into a lake. Absent constraint, their population will grow by 50% a…

A:

Q: Determine the second derivative of 2x+ y-- 4 y 6.x (y + 2)--9(y+2) A B - 6x (y+ 2)-+ (y + 2) - 6x (y…

A:

Q: 1. S(VE – Vt² + Vr³) dt -3

A: as per bartleby guidelines i can do only first question out of multiple questions. please post other…

Q: Suppose 175 trout are seeded into a lake. Absent constraint, their population will grow by 65% a…

A:

Q: If in the year 2000 there were 1.26 million metric tons of beef produced and demand is growing at a…

A:

Q: Find the equation of the line tangent to the graph of f(x)= 7x³ +5z2 - 3z- 3 at z = -5. %3D

A:

Q: Imagine that we can predict one person's monthly salary (Y) from the number of years (X) that he has…

A: If x= 5  Predicted salary = 4000+50(5) =4250

Q: Suppose that the daily profit (in dollars) from the production and sale of x units of a product is…

A: x is the number of units produced and sold. The Profit function is given by P = 150x − x^2/500−…

Q: Find an equation of the curve that passes through the point (0, 4) and whose slope at (x, y) is x/y.

A: Solution:find the equation of curuepasses through the point (0,4)slope of cwue is xydydx=xyy dy=x…

Q: Find the second derivative of y = -5 %3D -

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Q: Find the point on the line y 2 x-3 that is nearest to tne ofigin.

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Q: point is moving on the graph of 16x^2+9y^2=160. when the point is at 1,4 its x coordinate is…

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Q: Solve using partial differentiation

A: Given that  uxy=4eycos2x given that y = 0, ∂u∂y=cosx and u=y2…

Q: Explain derivatives on optimization ?

A: Topic:- derivatives

Q: A money market fund has a continuous flow of money at a rate of f(x)=1500x-170x2 for 10 years. Find…

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Q: Calculate the second and the third derivative of y = 5x- 9 y": y"

A: Using derivatives rule & formula.

Q: low fast is

A: