Develop a formula for D(-

Q: Express your answer in the format of E. $ +$

A: From given data we have: sample size = n=12 Mean=x¯=50.9 Standard deviation=S=2.3 Degrees of freedom…

Q: : (풍). 11. Give the exact value of sec

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Q: Determine how large the number a has to be so that dx

A: To solve this problem we will first solve the integration and then use the concept of linear…

Q: A certain county taxes the first $ 200,000 of an individual's income at a rate of 12%, while all…

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Q: dx

A: We have to evaluate the integration ∫2x+4xdx using basic formulas.

Q: In (x) The numerical value of dr is equal to .......

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Q: Use geometry to find a formula for x dx, in terms of a.

A: Consider the given integral  ∫0ax dx Now, draw the geometry for the integrand The shaded part is…

Q: Find the coefficient of X^35 in the generating function (x^4+x^5+x^6+x^7+x^8)^5 (Show work and…

A:

Q: A culture of bacteria has an initial population of 330 bacteria and doubles every 8 hours. Using the…

A: Given equation is as below: Pt = P0.2tdhere P0=330t=17d=8

Q: (f) In e 6.

A: The answer is found in step-2

Q: Since a certain virus has been contained in Wakanda, researchers has proven that it will be…

A: Given,             Since a certain virus has been contained in Wakanda, researchers have proven that…

Q: The monthly rent for the first house is $1, 190, and the Bainters can expect it to increase 1.7%…

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Q: Find the general solution of the given ODE.

A: Given differential equation is y'=1+x1+y2dydx=1+x1+y2dy1+y2=1+xdx

Q: Find a general formula for dr ax + b dx" cx +d

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Q: Approximate the expression in the form a without using e. - 2x e - 2x e %3D (Round to four decimal…

A:

Q: Since a certain virus has been contained in Wakanda, researchers has proven that it will be…

A: Given that,  a certain virus has been contained in Wakanda. Researchers have found out that the…

Q: Find the first three terms of By substituting x=, find the appr6x value of V29 correct to three…

A:

Q: -ST In 0.2 %D 1-8

A: To solve the equation for δ, first we remove square root by squaring both sides and then get an…

Q: solve ス gine さ + (J when x ン

A:

Q: (b) Use the iteration formula 4(3-х,) (3+x,) with x, = 1 to find, to 2 decimal places, the value of…

A:

Q: Use Euler’s Formula to find ii

A: we know that  i=eiπ2 so, ii=eiπ2i=ei2π2                                                  ∵…

Q: 2 + dx

A: Given :∫5x-3x2+2x4dx

Q: A culture of bacteria has an initial population of 620 bacteria and doubles every 2 hours. Using the…

A: Initial population of bacteria was 620. It doubles every 2 hours. We have to calculate the…

Q: Prove Equationally that A → BF¬B → ¬A.

A: let us check whether the given statement is true or not

Q: Show that esin(x²)dx < e– 1.

A:

Q: This is calculus

A: LHS = ∫-21(x2+x)dx = (x33+x22)-21         = (13+12+83-42)           = 3/2

Q: 3. Derive the reductive formula for S sec" (x) dx.

A: We will find out the required solution.

Q: Find all the constant solutions of the following ODE

A: In this question, we have to find the constant solutions of the differential equation…

Q: Solve the following formula for t. A=M+Mrt t=

A:

Q: Solve the equation for x In(x+ 1) + In(x – 1) = 1

A: Solve the equation for xlnx+1+lnx-1=1

Q: dx

A:

Q: Use the reduction formula for tanh^10

A:

Q: Use the nspire calculator to integrate (b) Use the shorteut formulas to find L{81* – 5t² –…

A:

Q: 2. Two years ago, a father was four times as old as his son. In 3 years, the father will only be…

A: 2) Given that two years ago a father was four times as old as his son and in 3 years, the father…

Q: Determine how large the number a has to be so that dx

A:

Q: a. experiences neither depression nor weight gain. b. experiences depression given that the patient…

A: We have given that  P( depression) = 0.38 P( weight gain ) = 0.28 P( depression and weight gain ) =…

Q: Find a positive number x such that the sum of 36x and is as small as possible.

A: We will use basic knowledge of functions, differentiation, and the second term extrema test /…

Q: e Th

A:

Q: dt x-5

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Q: . Determine how large the number a has to be so that dx

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Q: Derive the formula Cosh x

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Q: Suppose that a lake is stocked with N fish of the same age, and that M is the mortality rate of the…

A: a) Given C=FNM+F The number of fishes stocked , N=5500 Mortality rate, M=7%    =0.07 Fishing rate,…

Q: ½t² Show that M₂(E)=é

A: Xi~Nμ,σ2X~Nμ,σ2nZ=X -μσn~N0,1 X is a linear combination of independent normal random variables…

Q: show that for positive epsilon, |x-4| |3x-12|<e

A: a⇔b implies if a holds then also b holds and vice versa.

Q: Find the exact value of c.

A: By angle sum property of triangle; Third Angle = 180 - 90 - 45 = 45. Since now two angles are equal…

Q: tion f(x)=

A:

Q: Use standard formula along.Solve all suparts

A: Provided data shows volume transactions in shares of corporations over a period of 12 weeks.  The…

Q: Derive the MGF of the gammalr,x)

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.