(a) Find the solution of the given initial value problem. -4 *-( 3 ) * x= Choose one (b) Use a and 2 3 3 3 0 4 Choose one e e -4t -4t 5t + + x, x(0) = (₁) te-41 -(1) (2)" + (1) te te 4t -5t (2) + (1) * -4t e- te-4t test _____ 3 2 the solution in the ₁2-plane

Q: V3 х, 1 x' = x(0) = %3D

A: Since you posted a multiple question but according to guidelines, we will solve the first question…

Q: 4x-y<-1

A: Given  4x-y&lt;1 Can be rewritten as y&gt;4x-1 So we take the area above the line y = 4x -1 And all…

Q: f(x) = x2 +9 Find all the values of x for which f' (x) = 0. What is the product of all these values?…

A: To find the values of x such that f'(x)=0 see below the calculation

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

A: If Find the value

Q: Regula-Falsi Iterative Formula: Xnew = xp - [(f(xp) * (xp – xn)) / (f(xp) – f(xn))] Problem: f(x) =…

A: Solution:

Q: ax? If f(x) = if x > 1 then the bæ + 2 if a<1 values of a and b such that f is differentiable on…

A: For function to be continuous

Q: x2 -16 f(x) = continous at x = 4. %3D x2 -3x-4

A: f(x) = x2-16x2-3x-4 continous at x=4 This can be solved using factorization of quadratic equation

Q: x-3 1. f(x) = x2 + 1 g(x)= v1–x h(x) = v(x) =-9 w (x) = 4x +3 r(x): %3D x+7 Find the following and…

A: Given that:                      f(x)=x2+1g(x)=1-xh(x)=5xv(x)=4x2-9w(x)=4x+3r(x)=x-3x+7   NOTE: As…

Q: 6. Use the function g(x) = -x+2 with initial values of 4, 2, and 1. What happens after many…

A:

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: 33. Find [g of ]x when f(x) = 2x + 4 and g(x)=x²-3x + 2. a. 4x² + 10x + 6. b. 2x² - 6x +8 c4x² + 13x…

A:

Q: Find ()(x) if f(æ) = 7³ – 5a² + 42x – 30 and g(æ) = 7x – 5. )(=) = a? +6 ()(2) = 7² + 6 '(능)(2) =…

A:

Q: If E[X] = 5 and Var(X) = 4, then E[(4 + 5X)²] = [] and Var(3+5X) 0

A: Given that :E(X)= 5 and Var( X )=4 .For a random variable X…

Q: If Var(X+Y) = 3, Var(X- Y) = 1, E(X) = 1, and E(Y) = 2, then E(XY) %3D 5/2 1/2

A: Solution: From the given information,

Q: Regula-Falsi Iterative Formula: Xnew = xp - [(f(xp) * (xp – xn)) / (f(xp) – f(xn))]   Problem: f(x)…

A:

Q: ff (9 (x)) = ()° which of the following is correct? 1 1. f (æ) = -- 2-8 and g (x) = a² 3. ƒ(x) = and…

A:

Q: The region bounded by f(x) 2x² + 12x + 14, x = = 0 is rotated about the y-axis. Find the volume of…

A:

Q: 8. Let f(x) = -x-2, g(x) = 4x + 1, h(x) = 2(x − 3) +1 (a) Evaluate h(-2) (b) Evaluate f(0) (c) Solve…

A: Since you have posted multiple sub-parts in the question, as per guidelines, we are supposed to…

Q: The population of a community is known to increase at a rate proportional to the number of people…

A:

Q: 8. The solution of the initial-value problem x' = 5 )x, x(0) = х, is: (o) x =*" ()-*() 6) x = +()+**…

A: