Find the Laplace transform of the following differential equation and express it as a single fraction: dr + 34 + 17.x(t) = 4e-7t where x(0) = 2 and r' (0) = 5 %3D

Q: e solutin for (c), it keeps giving me an X saying it's wrong

A: Sample 1 Sample 2 Sample Size 40 40 Mean 11.5 6.8 Standard Deviation 7.4 2.9 s =…

Q: f(x) = Ve

A:

Q: x+3 4) Evaluate f dx x+1

A:

Q: 16. Differentiate. f(x) = et %D ex+x

A: differentiating both sides with respect to x and solve the question. see 2nd step.

Q: 1 If f(x,y,z)= of then x-y-3-

A:

Q: For what values of x is Ax) concave down if f "(x) = 3x' – 14x² + &r?

A: Given that, f''x=3x3-14x2+8x For what value of x is fx concave down.

Q: Differentiate. f(x)=In(12x)

A:

Q: Let y = √√x. y'' = y''' =

A:

Q: b. If x = t- 3, find L[(xe

A: Consider the given information. Lxe-x Put the value in the function. Lxe-x=Lt-3e-t+3=Lte-te3-3e-te3

Q: Compute f(x)dx 2x if x 1 f(x)

A: To find out the integration.

Q: the p(x). can you ex

A: We know that sum of probabilities is always equal to 1. It is also given that an even number is…

Q: Show that di = s> 0.

A: Laplace transform

Q: - 2 x f (æ) = V

A:

Q: 1 Evaluate 1 e ,2

A:

Q: Evaluate (*(x-2) (х-1)3

A:

Q: Explain what it means if a' . b = 0

A:

Q: Let fé)--을(t)6. Eveluate f(-8) %3D f68)= ? %31

A:

Q: S dx b² +x4 - Evaluate

A:

Q: There is a partial insurance policy that pays $80,000 upon the bad drought state (and $0 in the…

A:

Q: 17. S(p) = /p - p %3D

A:

Q: If a = 1 − v^2 and both x and v are zero when t = 0, show that x = −1/2ln(1-v^2) and hence find v^2…

A:

Q: flx)=x+3 (x)%=DV さ+4 Dania of flalx)]= Lonain of alf(x)= F(x))

A: Given query is to find domain of the indicated composite function.

Q: 5. Determine f,(x); f(x) = x*², x > 0

A: We need to find out first partial derivative

Q: (x*. In x dx = ?

A: Solution

Q: Let y = || = y'"' = = x + 7 X X Hint: Try to do this without using the quotient rule.

A:

Q: Differentiate f(x) = Vx² + 1(³. Do not simplify. x+2"

A:

Q: solve for x if CDy=4(x-E)

A:

Q: 3. Given that f(x) = -x³ + 4x- – . Evaluate the value of f"(-)

A: