3. Suppose f(x) =. ) dr=AV 5x-4 +C, for constants. %3D If 5x-4 A and C, what is the value of A? Write the answer in its exact form as an integer or a fraction in lowest terms.

Q: iii) If ff f(x)dx = 3 and 2f(x)dx = 4, then | f(x)dx = 7.

A: Consider the given function as ∫12fxdx=3, ∫232fxdx=4  Here  ∫232fxdx=42∫23fxdx=4∫23fxdx=2

Q: h(x)={3x+2 for x>0} h(x)={5x-1for x<0} h(8)=?

A:

Q: If f(1) =1 and f (x) 2 3 for 1 <x < 3, how small can (3) possibly be?

A: We will find the smallest possible value of f(3) as following.

Q: If f(1) = 2 and f '(x) ≥ 3 for 1 ≤ x ≤ 5, how small can f(5) possibly be?

A: Given f1=2f'x≥3    ; 1≤x≤5

Q: For what values of a, b, and c will ax_1^2+bx_1 x_2+cx_2^2 be a convex? A concave function?

A:

Q: If u = 3x' – 6x, find the percentage error in u at x = 1, if the error in x is 0-05.

A:

Q: If f'lx)=4x³+ 3x²+1 and fe)=S, what is feoi)?

A: Given,            f'x=4x3+3x2+1 and f1=5To find : f-1

Q: If f(2) = 15 and f (x) > 2 for 2 s x s 4, how small can f(4) possibly be?

A:

Q: Let X = n(µ,4) and Var(2x) = E(4–7x) find µ.

A: Given: X ~ N (μ,4) So, V [X] = 4 V [2X] = E [4 - 7X]

Q: Suppose f(x) = (x-1)Vx+1, Evaluate: / f(x)dx Write the answer in its exact form as an integer of a…

A:

Q: 5 f(x) =- . If 4х — 3 =AV 4x - 3 +C, for constants A and C, what is the value of A? Suppose %3D

A:

Q: Determine the values of h (1) and h(0) if it exists.

A: The given function is as follows.

Q: Suppose x E R. If x³ – 4x4 + 3x3 – x² +3x – 4>0, then x2 0. - |

A: Given that x∈ℝ. We have to prove the statement "If x5-4x4+3x3-x2+3x-4≥0, then x≥0" by using…

Q: ,if 0<x< n2 ) = }e** ,if 0 < x <n2 0, otherwise 8x+2 f(x) :

A: The range of x is (0 π^2), is it right?

Q: The Saint Vincent Hotel and Leisure determines that its total monthly profit P(x), in hundred…

A:

Q: In(x) dr 4+ x 14 with n = 6. %3D T =

A:

Q: 1. If find the value of a. L²Lke + (x + 2y)dydr = 10, a

A:

Q: If f(1)  = 10 and  f'(x) ≥ 2   for 1≤  x ≤ 4, how small can f(4)possibly be?

A: Given that f(1)  = 10 and  f'(x) ≥ 2

Q: If f(1) = 12 and f '(x) 2 2 for 1 < x < 5, how small can f(5) possibly be?

A:

Q: 43. Suppose the revenue per unit time and the cost per unit time of an athletic equipment company…

A:

Q: 5 Suppose f(x)= )dr AV 4x-3 +C, for constants A and C, what is the value of A? 4x -3 Write the…

A:

Q: If f(3) = 11 and f '(x) ≥ 1 for 3 ≤ x ≤ 6, how small can f(6) possibly be?

A: Given,          f3=11 and f'x≥1 for 3≤x≤6.

Q: If g(x) = x3 and h(n) = 4n − √(n), what is (h ◦ g)?

A: g(x)=x3h(n)=4n-n

Q: If f (1) =10 and f ʹ(x) ≥ 2 for 1≤ x ≤ 4, how small can f (4) possibly be?

A:

Q: Calculate L4 for f(x)=57cos⁡(x^2) over [2π/4,2π/2].

A: Given, f(x)=57cos(x2)   over [2π4,2π2] f(x)=57cos(x2)   over [π2,π]

Q: Suppose that it costs c(x) = x3 - 6x2 + 15x dollars to produce x radiators when 8 to 30 radiators…

A: The cost of producing x radiators is c(x)=x3-6x2+15x The revenue from selling x radiators is…

Q: | In (x²- 2x-8) dx 5. ら

A: Explanation of the answer is as follows

Q: Suppose f (x) = dr=AV5- 3x +C, for constants A and C, what is the value of A? %3D If V5- 3x

A: Integration

Q: a. suppose 17 million dollars are available for providing immunication. What percentage of the…

A: a) Suppose 17 million dollars are available for providing immunization.  Given :  C(x) = 1.85x…

Q: If f(x)=x - 4 and g(x)= Vx – 2; which of the following is equal to x)?

A:

Q: Which value, to the nearest tenth, is the smallest solution of f(x) = g(x) if Ax) = In(x+ 5) - 1 and…

A: Given : f(x) = ln(x + 5) - 1 and g(x) = x3 - 2x + 1     To find the smallest solution of f(x) =…

Q: If f(1) = 12 and f '(x) ≥ 1 for 1 ≤ x ≤ 6, how small can f(6) possibly be?

A: The Mean Value theorem says, If a function is continuous on some closed interval [a,b] and…

Q: A project management consultant estimated that if a particular project was completed t years after…

A: We have given N(t)=t3/3-4.5t2+16t; 0≤t≤10

Q: * IN 13. g(x) ={Vx+6, -5 sxS1 %3D -+8, x>10

A:

Q: If f(2) = 2 and f '(x) ≥ 3 for 2 ≤ x ≤ 6, how small can f(6) possibly be?

A: given that f(2)=2,f'(x)≥ 3 for  2 ≤ x ≤ 6. we need to find how small can f(6) can be We use Mean…

Q: Suppose that the manufacturer of a gas clothes dryer has found that when the unit price is p…

A:

Q: If f(1) = 6 and f'(x) > 2 for 1 <æ< 3, how small can f(3) possibly be?

A:

Q: If f(3) = 7 and f ′(x) ≥ 2 for 3 ≤ x ≤ 5, how small can f(5) possibly be? f(5) ≥

A:

Q: If f(3) = 2 and f '(x) 2 1 for 3 < x < 6, how small can f(6) possibly be?

A:

Q: Given f(x)=x² + 5x + 6, what is (2+)-7 O² + 14h 02x+h+5 Oh+4 09+h equal to?

A: Put value in function and then solve

Q: If f(1) = 5 and f'(x) > 2 for 1< x < 6, then the smallest value of f(6) would be

A:

Q: Suppose that the cost, in dollars, for a company to produce x pairs of a new line of jeans is C(x)…

A:

Q: 5 If f(x) da = 18, then (f(æ) + 4) dæ is equal to:

A: Question is solved.

Q: If f f(x) dx = 12, then ff(4x) dx is equal to If f f(x) dx = 12, then fx f(x²) dx is equal to

A:

Q: If Ben invests $4000 at 4% interest per year, how much additonal money must he invest at 5(1/2)%…

A: Given: P = 4000 r = 4% = 0.04 t = 1 year n = 1 for one year

Q: If f(3) = 14 and f '(x) ≥ 2 for 3 ≤ x ≤ 5, how small can f(5) possibly be?

A: The given conditions are,

Q: If ƒ(x) = 3ªx + 3x and f'(0) = 3( by using 2-points fomula with h=0.5), then the value of a is

A: Topic- derivatives using 2 point formula

Q: A car purchased for $20,160 is expected to depreciate according to the formula  f(x) = −1920x +…

A:

Q: If f(x) = x²+4 and h(x) = 3x – 4, what is f(h(x²+4))? O9x*+68 O9x* + 60 O9x*+ 48x2+ 68 Oex*+ 48x? +…

A:

Q: If f(2) = 7 and f '(x) ≥ 1 for 2 ≤ x ≤ 6, how small can f(6) possibly be?

A: