Suppose that the time in minutes, Y , that an insect spends on a plant is exponentially distributed such that Y ∼ Exp(1/2) (a) Write the full expression for F(y).  (b) Evaluate P (Y ≤ 3) (c) Evaluate P (Y > 4)

Q: Find intervals where g(x) = 3x − x3 is increasing

A:

Q: Find the intervals where f(x) = x2e−x is increasing and where it is decreasing.

A:

Q: 3x + 1 Consider the function f(x) Compute each of the following. Simplify your answer and use x - 3…

A: Given f(x)=-3x+1x-3

Q: Let x + 1 f(x) x + 9 f-'(- 4) =

A: To find the solution first we have to find the inverse of the given function and then evaluate it at…

Q: Estimate f'(-12) using the data in the table. x -13 -11 -9 -7 f(x) 1.02 1.05 1.12 1.14

A: Given the tablewe have to find the value of f'(-12)

Q: f(x) = x+ 4/x

A:

Q: Differentiate. f(x) %3Dx =x° +x' d dx (x)] =

A: ddxxn = n·xn-1

Q: Let x + 2 f(x) x + 6 1( – 10) - -

A: Given f(x)=x+2x+6

Q: Compute f(x)dx 2x if x 1 f(x)

A: To find out the integration.

Q: find the fallowing Js(x)

A:

Q: Let f(x) f-1( – 8) = Preview

A:

Q: Describe the sequence of transformations from the related common function f(x)=x² to g. g(x) = 2(x–…

A:

Q: Let _ƒ'(x) = f(x) = (–9x² − 7)³(-9x² + 2)-¹2 -

A: Given: fx=-9x2-75-9x2+2-12. To be find: expression for f'x. Formulas used:…

Q: If y=(X+3)(X-5)^7 then find y`

A:

Q: St¹ sin(2t4) dt

A: Given integral:- ∫t7sin2t4dt

Q: let f(x)= X4+1 a find f'() + simplity

A: Givenf(x) = x4 + 1x2

Q: Give the formula for f(n) (x) where f(x)= 1/(3x-1)

A:

Q: Find y as a function of a if y(0) = 8, 3/(0) = 8, "(0) = 25, "(0) = 0. y(x) = || (4) 10y" +25y"=0, 1

A:

Q: comput and interpret f'(1) for each function below (a) f(x) = 6x2 + 3x − 4            (b)f(x)=10…

A: a)f(x)=6x2+3x-4differntiating both sidef'(x)=12x+3put x=1f'(1)=(12x1)+3=15f'(1)=15  answer

Q: In the graph of f in the figure, at which of the labeled x-values is each of the following true? Use…

A:

Q: Suppose that the average number of M= (32+27t)/(2t+7) where t is the number of days on the (a) Is…

A: Given that: M=32+27t2t+7 Simplify it. M=27t+322t+7=272-1252t+7

Q: 6 – x2 If f(x) find: 5 + x2 ' f'(x) = %3D

A:

Q: evalu ate the integ ho ral (Usec for Hhe constant of integ ra (In (x))²dx

A:

Q: let H(x)(1+x^2)^3. find f and g such that f(g(x))=H(x)

A:

Q: Let f(x) = ( – 2° + 2)* (5æ² + 4)" f' (x) =

A: