Solve the given initial value problem. 13 -7 *-[7]-[-] x(t), x(0)= 5 1 x'(t) = 16 10

Q: If f(-1) = 4 and f'(x) ≤ 5 for all x, what is the largest possible value of f(6)?

A:

Q: Find f''(x). f(x) = V (x² + 1) 5 %3D f"(x)=|

A: topic - derivative of a function

Q: Q-1- Find the derivatives of the functionS 1- Y+In (xy) = |

A:

Q: Find the 3rd derivative of the function y = (3x³ – 7x2 +5) (x²+5) O y" = 120z2 - 168z + 90 %3D O g"…

A: Recall:Firstly product the givern term and find function of 'x'   i.e;   y=fxSome formula:∙ddx…

Q: 3. Which of the following exponential functions is NOT increasing on the entire real line? a. fAx) =…

A:

Q: 74. Which of the following represents the nth derivative of y=(1-x)/(x-2) ? A. (-1)^(n+1)…

A: To find: nth derivative

Q: 10. (a) Given that f(x) = x² + 2 and g(x) find X - 3' f(8(x)) and state its domain. What is f(8(5))?…

A: 10). (a) Given function are fx=x2+2 and gx=2x-3. To find fgx and state its domain and also to find…

Q: 1.2 s Find first derivative for the following functions. dx (a) y = 5+ 6x + 4x3 (b) y = In(2x) +x*…

A: Note:-Since you have asked multiple questions, we will solve the first question with three sub-parts…

Q: 1. h(x) = 5f(x) – 4g(x) Answer. h'(-2) =

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

Q: f(x) = x²e²

A:

Q: Prove that for integers y=1 the equation 3h-n (2x₁ + x₂ + 4x₂) +3² (~1(2x₁+x₂+.+xn-1)+...+3^-1 (2²₁)…

A: We will use contradiction to prove it.

Q: Let f"(x) = 6x + 3x?. (a) Find the most general formula for f'(x). If an arbitrary constant must be…

A: Let's Solve,

Q: y = 2.16eSin(2x)

A: SOLUTION-

Q: 5) By false position method the equation f(x) = e- 3x has a root between 0.5 and 1.0.

A: This question is about regula falsi method.

Q: If 69 + 5 f(x) + 2x²(f(x))³ = 0 and f(1) = -3, find f'(1). f'(1) =

A:

Q: If f(x) = g(h(3x)), then f'(x) is equal to which of the following? Og'(h '(3x)) Og'(h(3x))h (3x)-3…

A:

Q: and g( x) = 7 − ( x − 3)^2 , a.) Solve for x: f ( x) = g( x) (Answers c

A: Inequality: a)f(x)=3x3-4x-3g(x)=7-(x-3)2f(x)=g(x)3x3-4x-3=7-(x-3)23x3+x2-10x-1=0The solution isx≈…

Q: Use the values in the table below to answer each of the following: f(x) g(x) f'(x) g'(x) 5 1 -1 -3…

A: Table

Q: As the number of hours since you ate protein increases from 2 to 2.75 hours what is the average rate…

A: Given: At 2 hours B1=1100 mg/L At 2.75 hours B2=1025 mg/L

Q: 3 + 2x g(x) %3D 5 - 8x

A:

Q: x+3x + 2 If f(x) = then f'(1) = %3D O 3 07 0 5 0 4

A: By using differentiation property, we calculate the required value.

Q: 6. Show that (an)neN C R is bounded if and only if lim supn→∞ an < +∞o.

A: To Prove:  ann is bounded sequence if and only if limsupan&lt;+∞.

Q: Find f"(x). f(x) = 6x- 14x-

A: Topic = Derivative

Q: Solve Where X (0) = (1) 1 = (-²₂23) X(0) + (₂) X' (t) =

A:

Q: read the following headline about COVID-19 vaccinations: "The vaccination slow down is slowing…

A: Headline about COVID-19 vaccinations is given as- "The vaccination slow down is slowing down.'' Now…

Q: x²Sin(x) y = In 2x + 1 9.

A:

Q: Find f''(x). f(x) = (x² + 1) * %3D f"(x)=

A: We have to solve

Q: 7 Find f(x) if f'(x)= and f(1) = 4. O A. f(x) = -28x-5 +32 -5-3 O B. f(x) = -28x 7 3 O C. f(x) = OD.…

A:

Q: E 40 (X) + (²²) (+) (A(+1) = 20₂² (e (t))

A:

Q: (a) -3r*, (b) x* + 4r3 + 6x2 + 4x + 1, (c) Ar10 + bx+c (A, B and C are constants).

A:

Q: Find (f-1)'(a) for f(x) = *+1 2x + 3 2 when a = 5 (Enter an exact answer.)

A: Take f^-1(x)=y. Then find f^-1(x).

Q: A company wants to accumulate Tk. 100000 to purchase replacement machinery 8 years from now to…

A: Solution is given below: