y=f(x) A1 3 15

Q: y = e"(1 – y²), y(0) =

A: We will find out the required solution for given differential equation.

Q: S)-(4r' -2r² +3x)(A+--3) Find f"(x).

A:

Q: (D³ – 4D²D'+ 5DD² – 2D ) z = e'*2* + Vy +x.

A:

Q: r8 8 7 | f(x) dx = 16 and f (x) dx = 3.3, find | f(x) dæ. 1

A:

Q: 2) (D3 + 3D2 4D – 12) y = 0 (D) (E) (F)

A:

Q: xe lF Sx2z+y3-Xリ2う=0,

A: Consider the following equation: 3x2z+y3-xyz3=0 Differentiate the above equation with respect to x…

Q: 7 d. f(x)=(4x²-7x) e. 12 = y' + x? f(x) = 156 f. %3D

A: we have to differentiate the given functions

Q: f(x) = 2x + 3 g(x) = 5x + 7 (a) fo g? (b) go f? (c) (f og)¬1?

A: Hey, since there are multiple sub-parts posted, we will answer first three sub-parts. If you want…

Q: Which of the following functions are exponentialfunctions?

A: Exponential functions have variable in the exponent.

Q: Eliminate the arbitrary constant of: y = Ae^-x + Bx^2e^x

A:

Q: (i) y2x4 JS(x+y²x² + y)dxdy y=x=0

A:

Q: e* y" – 2y' + y =1+x² + 3e*|

A:

Q: Find d²y/dx² for the following equatio: f) x2/3 + y2/3 = 1 g) x³ + y4 = 16

A:

Q: xy = e2x; y 2х ху — е

A: We will find y' as following.

Q: Eo f is y = 1(a- 4). 3D1

A:

Q: The y, of (D²+D)y=11 .A e¯X+11 .B 11 .C 11x .D does not exist

A: Given that  (D^2+D)y=11  To find the particular solution differential equation

Q: What is the value of f(1) - 16B in fx³ Inx dx = f(x) ((1/4) Inx-B) + C? (A) 2 B 3 C 0 D 1

A:

Q: · (D² + 3D + 2)y = xsin 2x

A:

Q: = -21e 2 C D +4 D +9D t1o)y 4. /f x-O -4 l 10

A: To sove the initial value problem for y=y(x)

Q: 10. (D² – 2D – 3)y = 0 when x = 0, y = 0, y' = -4

A: To find the solution of the given differential equation .

Q: The domain of y = v2 – x is A. (-0,2] B. (-0,00) C. (-∞,2) D. [2,0) E. 0

A:

Q: x3 – 7x? + 14x – 7 f(x) x² – 2x + 2 is given by y =||

A: The remainder, y = 2x+3   The detailed solution is as follows below:

Q: runction ov 1 y=- -1, 0] x+2' A) -2 В) 0 D) C) 4.

A:

Q: The cost per day to society of an epidemic is C(x, y) = 40x + 230y where C is in dollars, x is the…

A:

Q: F(x)= V3 j 9(x)= 9x-8

A: Given  functions f(x)=3       and   g(x)=9x-8 we need to determine  (f+g)(x)

Q: d²y x-9 Find for y dx2 = (3x² –2x+5)

A:

Q: dy If x³+y³ = 1, what is -? dx² D OC O 22(23 ys 2x(2 − y) y³ 2x y5

A:

Q: 4. f(x) = x² + 4x- 3 a. b. C. d. e. f.

A: The function is f(x)=x2+4x-3

Q: x=t-2 and y= t t-2

A:

Q: 2. (D² + 3D + 2)y= 1+ 3x + x²

A:

Q: + 12D + 36)y = 0 5. (D³ + 3D² + 3D + 6 (D3 AD3

A:

Q: y=F(x) -8-

A: We have to find limit of function F(x) with the help of graph:

Q: f(x) : 4х + 8 f (x) = 36, What is x?

A: Given f(x) = 4x + 8 and f(x) = 36 So, 4x + 8 = 36 Now add both sides with (-8), 4x + 8 + (-8)= 36 +…

Q: 2 V4-x2 e*²+y* dydx =? -2 0

A:

Q: a.f(x, y) = (x² +x + 1)e¬r²/10-y²

A:

Q: Jx² +y° =16 (x+2)* + y² = 25 Solve graphically:

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Q: Evaluate d2y/dx2 at the point (0, -9). x = t3 - 3t y = 3t2 - 9

A: Given: x = t3 - 3t y = 3t2 - 9

Q: e general solution of y6) + 4y(4) + 3y" = 0 ?

A:

Q: Find dy. 3 y = x³ (15-47) dy = (Simplify your answer.)

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Q: What is the equation of h (x) = f (g (x))? %3D f (x) = 3x² + 1 g (x) = -x + 2

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Q: d) y = - + 3 e) y = 20.5x f) y = V2(x – 6)

A: Given query is to find the transformation performed and then graph the function.

Q: f(x, y) = x4 + yA; x2 + y2 = 18

A: In this question, we find the maximum and minimum value of the function by using the Lagrange…

Q: Find the y-intercept for the graph of the quadratic function

A:

Q: Q5 Suppose the equation y" – 4y' – 5y = f (x) has y = 3x' as a solution. (b) What is the general…

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Q: Solve (D³ + 4D² + 5D) y = 0 ; when x = 0, y= 0, y' = 0, y" = –5 %3D E A- B I- E E !!

A:

Q: F(x)= 2x+x , g(x)=v3x + 7 Fog(3)????

A: our objective is to find Fog(3)

Q: f(x)%3D3X +10 A. x = 5 B. x =0

A: the given function is: fx=3x+10 A) x=5 B) x=0 we have to determine if the given function is…

Q: Y1 (x) = 8a + 2x; y2(x) = x In(bx); y3(x) = ca?.

A:

Q: (D² – 4)y = 2 – 8x; when x = 0, y = 0, y' = 5. %3D ANS. y = e2x – e-2* + 2x – }.

A: We have to find solution of given differential equation.

Q: d²y Find dx2 x = t* - 8, y =t – t2 %3D

A: