QUESTION 3 Differentiate the following functions a) x7+2x5−3 x4+5 x3+10x−3 b) e(x+2)

Q: Consider the function f(x)=x2+6(5x−10)(x+4)f(x)=x2+6(5x-10)(x+4). For each prompt below, if no…

A: We need to find asymptote and intercepts.

Q: Find f. 36x2, f(1) 15 f "(x) = 10 + 6x + f(0) 4, f(x)

A: Given,

Q: Differentiate the function f(x) =x*(1– 4x²)³. Express your answer in simplified, factored %3D Torm.

A: We can find the answer as below.

Q: If x1/2 =(42)1/24 then find the value of x

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Q: Differentiate the following functions: a) y = (-5x-7)³ b) y = 7-2x² 2x+1

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Q: () (O (-- 1) The span in F of the vectors 2 is a plane. 2) If a, b is a basis of R2, there exists v€…

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Q: Consider the following expressions as functions of a with domain equal to the open interval (0, 1)…

A: The given function f:0, 1→ℝ, we have to find a function that satisfies the given condition.

Q: 1. 2y"" Hardcore 0 7y"+12y + 8y

A: To solve the given differential equation.2y'''-7y''+12y'+8y=0

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

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Q: x) = (1/3)x - 6

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Q: If y = f(x) is the solution of y" – 9y" +26y' – 24y = 0, f(0) = 4, f'(0) = 15, f" (0) = 44, then

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Q: x*+8x-20 f(x) = x-9

A: The function is given  by f(x) = x2+8x-20x2-9 To evaluate : The values of x for which f(x) = 0

Q: The following limit represents the derivative of a functionf at a point a. 5 tan 6. V3 f '(a) = =…

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Q: 0 8x3-12x2+7x+2 Evaluate , dx =? -1 2х-2

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Q: Draw y² = f(x) 1+ (1,-1) 2 (2.5,1)

A: We have draw the graph of y2=f(x)The procedure is given below

Q: w Thast 11

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Q: y: sgn(x)

A: See the attachment

Q: What function is y = x^3 + 2x + 1? O A. Cube Root Function O B. Polynomial Function O C. Inverse…

A: A function of the form f(x) = anxn + an−1xn−1 + . . . + a2x2 + a1x + a0 is said polynomial function.…

Q: Find f(a+h) when f(x) = 2x² + 5x -4.

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Q: What is the value of h(3)? The piecewise function h(x) is shown on the graph. O-2 O-1 0 1 4 O 2 2

A: Given the graph of a piecewise function

Q: 5.1 Consider the multiple regression model y₁=xB₁+x₂ + xpB₂ +€₁ with the seven observations on y,…

A: The given data are as follows: yi xi1 xi2 xi3 1 1 0 1 1 1 1 -2 4 1 2 2 0 1 -2 1 1 1 1…