Refer to the figure below. Find a - b + c. x' - (, :)x+ () 3 X' = X + 3 ; X(0) = (;) 4e4t Answer : X = a(;)te" + )e# + c(;)te* a 4t

Q: ∫0.5. (e2jx- e2-2jx) dx

A:

Q: Determine 04 O4h 05 O 5h f(2+h)-f(2) h if f(x) = 5x 6.

A:

Q: 4. Find 4x2+2x-1 dx. x3+x2

A: It is required to find the integral ∫4x2+2x-1x3+x2dx. Consider the integrand 4x2+2x-1x3+x2. Find the…

Q: 4x -1 dlim x→(2xtの) メt

A: limx→-324x-1(2x+3)2

Q: 1. Simplify the following. a. f(x) =2x - 3 -2(5x-4) b. f(x) = (4x 2 - 5) +(-2x²+3x-5) c. A(r) -…

A:

Q: L dx x-1 -1 -x²+1

A:

Q: lo. X-ya 3 3x + 5y 31 14. 3x-4y 2l0

A: Solve by algebra

Q: dx 0 (x-2)3

A:

Q: exp(x) = ex ?  Is it just a matter of notation, or does exp( ) mean something else?

A: Yes this is true exp(x) = e^x  exp(x) is command in coding language to type e^x

Q: (² X x2 + 4x + 13 dx

A:

Q: 1 e2x + 5ех 4 e2x + 4ex

A: Given: ∫ 14e2x+5exe2x+4ex dx= 14∫ ex+20ex+4 dx    (Multiply and divided by e-x)

Q: dx x lnx√9 ln²x-1 S

A: Given: I=∫dxxlnx9ln2x-1   ...(1)   As we know that; ∫1x2+1dx=tan-1x+C

Q: Evaluate ∞ fe-³x. erf (x) dx 0

A:

Q: Ⓒ S x² (Inx)² dx 0

A:

Q: 7) (3x* – 5)° . 36.x dx

A: 7) the given integral is (3x4-5)536x3 3) the given integral is (x3-2)-43x2.

Q: dx 5. x/2 +x/3

A:

Q: Let z1 = -5 + 14i and z2 = 5 – i. Find z122 and (z1z2). 7122 (2122) ||

A:

Q: List the zero's of f(x) = x³ + 3x² - 4x. X =

A:

Q: 2 D²y+y=secx²

A:

Q: DERIVE THE F. FUNCTIONS: s) y (x-3)(3x+4)(x²-2x+ 1)

A:

Q: x3-3 5). S dx V x11

A:

Q: x- dx = %3D

A: Given:

Q: Find the value of: 2 100 ;] [*] + x + 100 ] + [~ + + ++ 99 100

A:

Q: Q. / 3sec3xtan3xdx sec3x +c -sec3x +c O None O tan3x +oс

A: