(10) Total number of items sold during a year is N(t) = t v4+t where N is in thousands and t is the number of months since the beginning of the year. Find and interpret N(5) and N'(5)

Q: a = < x, y, 1 >b = < 1, -1, 3 >|a| = (14)^(1/2)/2a•b = 5Find all possible values of x…

A: As we know dot product and given information

Q: tx' 3 - - (³ 4) X X = C1 (1) +02 10 + ()

A:

Q: Identify the exponential function from the graph (-1,4)| y=f(x) -2 (0,1) -3 -1 -2 a)f (x) = 2* %3D…

A: This is graph recognition related problem.....

Q: 4 X Find f'(-2) if f(x) = 5 - 4x. f'(-2)= (Simplify your answer. Type an integer or a fraction.)

A: given,  f(x)=x45-4x

Q: -x³ (7x + 1) (3x + 6)5 f (x) = In

A:

Q: A function (f) is given by the formula f(x) = A*e^kx for constants (A) and (k). We also know that…

A: Function is of the form f(x)=Aekx and f(3)=12 and f(4)=7.

Q: Find a formula for f-'(x) and (f -1)'(x) if f(x) = V х-2

A:

Q: Sales decay of a product is given by S = 70,000e^-0.1x, where S is the weekly sales (in dollars) and…

A: Given that sales decay of a product is given by S = 70,000e^-0.1x, where S is the weekly sales (in…

Q: Find a formula for f-(x) and (f-1)'(æ) if ƒ(x) = -V5 – x f-' (x) = (5-1)'(x) =

A:

Q: IF X' + ㅗ X² 970 + then (x-2)(x-4) (x-4) (x-8) = ?

A: If Find the value

Q: |(7/2)= (5/2)(3/2)(1/2)/T صواب خطأ

A: We know that  gamma(1/2)=√π

Q: r 4-5x 3. f(x)=- ; f'(-1)

A:

Q: w(x)=(x^3+1)^4 /(x−2)^5 w′(x)=(x−2)^F(x^3+1)^G[Hx^2(x−2)−J(x^3+1)]/(x−2)^K F= G= H= J= K=…

A: Finding w'(x)

Q: 7x2 + 6x + 2 If f(x) then: f'(x) = f'(2) =

A: The given function is f(x)=7x2+6x+2x

Q: e (1? + Зх — 4) dx. 4) d.r.

A:

Q: What is the coefficient of x^n for the generating function (1)/(1+x)^2?

A:

Q: If '(3) = -1 and h'(1) = 5, then "(r)dr= (A) -6 (B) 4 (C) 5 (D) 6 (E) 9 (F) 11

A:

Q: Sn( Lin el0x=ydydx = In(5) fIn(3)

A: Given integral is ∫0ln5∫0ln3e10x−ydydx. We have to evaluate the double integral…

Q: x'-x+2 If fx) =ア+7 6. , find f'(x). (5x-1) (A) (3x) (x'+7)(5x-1)-(x'-x+2)(3x) (x+7) (B)…

A: Given query is to find the derivative of the expression.

Q: du / (1 - e")2

A:

Q: Which of the following is the exponential function of the form f(x)3 ab* containing the points…

A: Solution: The objective is to find the exponential function

Q: f(101) f'(101) 100 49 If f(x)= II (x− n)n(¹101-n), then find n=1

A:

Q: Find the sum H=p+q+rand calculate average value of the function f(x),

A: In this question we have find the average value of function f(x) in the given interval. here we used…

Q: which one is y=g(x), y =g'(x), y=g''(x), y=g'''(x)

A: We have to fund which graph corresponds to g(x),g'(x),g''(x),g'''(x)

Q: (1) Let A={1,{2},{1,{2}}} (a)True or false: 2 € A, {2} € A, {{2}}CA, {1,2}CA, 3x(x € A^xA)

A:

Q: (ii) Show that {Xt} is stationary.

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.