AB1: Find g(2), g'(2), and g"(2).

Q: b) y = (3x-1)e-x²

A: The equation you've provided is a mathematical expression in terms of a variable x, given by:…

Q: Find (ixj}x(kxi) ?

A:

Q: h(x): = 2x and g(x) = x", find h(g(x)). Dô hót simipiny. O h(g(x)) = 2xa² O h(g(x)) = h(2x²) O…

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Q: what if y(0) = 6 instead?

A:

Q: Find the value of ( x + y ) / (x - y ) if x = 6 and y = - 2.

A: The expression: x+yx-y

Q: oB coser sec 2o -

A: To find the value of 2cosec20°sec20°

Q: y = (1– 2x) ;y" ¡y"

A:

Q: 2p- dz 3.

A: We first factor the numerator and denominator to simplify

Q: 5. S (3x-x²)dx x2

A: This is a problem related to integration. Based on the general formula and concept we will answer…

Q: What if y(0) = 5 instead?

A:

Q: how do i find the (x) ?

A: The given data is,

Q: B = 5 3 -3 -2 1\ 0 1 2 1

A:

Q: 2x (i) da 1+z?

A:

Q: Solve for X X(A-B) = M(X-C)

A: Given:

Q: d²y + 4 + 4y %3D 0, у(0) %3D 3, dy (0) = 1 dx %3D dx² dx

A:

Q: Find (4z² + 3z")dz -1

A: In this question, we need to find the integral of the given function.

Q: Find f. f"(x) = 6 + 6x + 36x², f(0) = 3, f(1) = 14

A:

Q: Define the functions (x) =x² + 2x - 3 and g(x) =Vr + 6 а. Find the value of b. Find the value of…

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Q: If f(x) = 3x- x^2+2, find the value of: a.) f(0) b.) f(3) c.) f(-3) d.) f(-7) e.) f(3/2)

A: Given: fx=3x-x2+2 To find: a.) f(0) b.) f(3) c.) f(-3) d.) f(-7) e.) f32

Q: y" + 16y2x sin 4x

A:

Q: Solve for ‘x’ and ‘y’:(a – b) x + (a + b) y = a2 – b2 – 2ab(a + b) (x + y) = a2 + b2

A: Given,

Q: a)  2∫4  7f(x)dx b)2∫9. (f(x)-g(x))dx c)2∫4 4f(x)dx

A:

Q: x = (1- y)*(3y +1) ;y"

A: Answer is given in next step.

Q: x-3 5. ; dx х2-6х-5 B.미x?-6x-5| + c cm +C D. 2 In tar 2 In + C

A:

Q: 4z* + 4z² – 1 = 0 %3D Then zl = 0.455 and z2=-0.455 %3D

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Q: Solve for f(g(x)) and g(f(x))

A: