Solve the given equation.. dy dx .Y=xe*, y(1)=e-1 X v(x)= xe X − x y(x)= xex −x2 V(x) = xex +x-2 y(x)=ex(2-x) - 1 a. b. C. c. d. e. y(x) = 2xex-x-1 2

Q: Max owns a car. With probability 0.1 she gets into an accident and is left with $2500 (net). If she…

A: “Since you have posted a question with multiple sub-parts, we will solve first sub-parts for you. To…

Q: 2. . If f(x) dx = 4 and 3g(x) dx = -9, evaluate [² [3f(x) + g(x)] dx

A:

Q: Show that the equation f(x) =x+3x-1%=Ø %3D has at least one solution,

A:

Q: For what value of x is g(x) = - 2? ..... x=0 4- 4

A: Here, we need to find the value of x which makes g(x)=-2

Q: f(x) dx = -4, f(x) dx = 6, g(x) dx = 8 - If g(x) dx b. c. 3f(x) dx d. dx x) - g(x)] dx g(x)] dx e.…

A:

Q: 1. If f(x) = x-1 and g(x) = 2x, what is g(f(x))? c. 2x -1 %3D а. х-2 b. 2х-1 d. 2x-2

A:

Q: x' +4x? + x - 6 f(x) =マ+x-4x -4 %3D X' + X 4х

A:

Q: At what values of x does the graph of y = x´e¯t have a point of inflection? Ox=-2 and x=0 O x=1 and…

A: fx=x2e-2x To find inflection point

Q: If f f(x) dx = 6, f f(x) dx = 2, and f, g(x) = -5, find f₁[2f(x) — 4g(x)]dx.

A:

Q: (x5 + 3y)dx - x dy = 0

A:

Q: Differentiate the function. 6. 2. y = .2 x +1 Choose the correct setup below to differentiate the…

A:

Q: Given f(5) = 4,S"(5) = 2, g(5) = 6, and g'(5) = -7. Find W(5) if h(x) = fG) × g(x). O-50 O 14 O-16 O…

A: To find h'(5) , we will differentiate both sides to the given equation.

Q: f(x)=(3x+1)1/2; a=5; b=16.081/2

A: It is given that fx=3x+1. We have to compute the linearization of the function fx at the point a=5.…

Q: if f(x)+g(x)= 3x +2 and g(x) = x - 1 then f(x)= %3D а. 2х+3 O b. 3x+2 О с. 3х-2 O d. x+4

A: Given,f(x)+g(x)=3x+2g(x)=x-1f(x)=?

Q: 1. Determine if the following functions are continous at the interval I (a) f(x) = x – 1; I=[-2,2]…

A:

Q: If f³ f (x) dx = 6 and ſ ƒ(x)dx = 4, then ſ5 (3 + 2ƒ(x))dx : = 35 10 23 20

A:

Q: If h(x)=6ex−5, find h′(x).

A:

Q: If f(x)dz = -5. then the value of f f(z)dr = ... -5, then the value of f(x)dx O 5 3

A: We have to find the value

Q: Given and f'(-1) = Find f'(x) = -5 and f(-1) = 0. = and find f(1) = = f"(x) = 5x + 1

A:

Q: a and d, please

A:

Q: Find the given value. g(x) = 5x3(x2 − 5x + 4),    g'''(0) g'''(0) =

A: Use derivative to get the value of g^"'(0).

Q: f(x) = e−x,    n = 5

A: Given:          fx=e-x ,n=5 A Maclaurin series is given by fx=∑n=0∞fnan!xn Here fx≈Px=∑n=05fnan!xn…

Q: If f(x) = 2x - 4, find f-¹(x). OX-4 2 O-2x+4 O X+4 2 O 4-x 2

A: The inverse of a function f is a function that undoes the operation of f.

Q: Find f(x+h)-f(x) h 2 f(x) = 5x + 14x-13 OA. B. 10x+14+5h 2 10xh + 14h + 14h² C. 10x+14 OD. 5x+6+ 10h

A:

Q: 3. If f(x) = x² + 2x + 1, find f(x + h) where h is a variable.

A: fx=x2+2x+1

Q: Find f. f ″(x) = 20x3 + 12x2 + 8,    f(0) = 6,    f(1) = 3 f(x) =

A: To solve the following

Q: 1. Which among the following functions have an inverse? (a) f(x) = 2x2 – 5 (b) g(x) = 3x -8 (c) h(x)…

A:

Q: f (0) = 1; y = X

A: Given- f0=1;y=x To solve- The above expression.