Find all the numbers for which f (x) < 0 if ƒ (x)=x* +2x³ – 7x² – 8x +12. %3D c. (-x,–3)U(1,2). a. (-3,–2)U(1,2). d. (-2,1)U(1,2). b. (-0,-2)U(1,2). e. (-2,1)U(2,0). е.

Q: Find the second derivate of f(x) = 4 + 3e-* %3D A 3e* F 3e* C -3 -3e-* 9e-* H -9e-*

A: To find the second derivative of the following function f(x) = 4 + 3e-x

Q: X(Vx+

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Q: Given y =x2 -1, find A y. A 2r Ax+ Ax2 Ax2 C 2x Ax+ Ax²– 2 212+ 2x Ax+ Ax2-2

A: We will solve the problem

Q: Suppose the point (5, a) lies on y = f(x), the point (b, c) lies on y = g(x) and the point (2, -8)…

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Q: 2x - 2x2-3 dx - Find 4 x* + x²

A: To evaluate: ∫2x3−2x2−3x4+x2dx Let, I=∫2x3−2x2−3x4+x2dx ⇒I=∫2x3−2x2−3x2x2+1dx

Q: Determine a and k so the given points are on the graph of the function. (1,2), (2, – 33); y = a(x+…

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Q: Let f(x,y) = 2* + 7xy, find f(0, – 3), f(- 3,2), and f(3,2). f(0, – 3) = (Simplify your answer.) f(-…

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Q: 3. Let f(x) = x2 + x + 3, g(x) = 5x +3 а. f(4x) and h(x) = 2x² – 4x + 1. Find the following: b.…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: 1. [(x²+ ux) Jx3 +1 dx

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Q: ((-2x +5)dx

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Q: Find-f(x) when f(x) = 3x+4x+4. O A. 3x-4x-4 O B. -3x-4x-4 OC. ОС. 3х- 4х +4 O D. -3x -4x+4

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Q: 2x 3y 3 10 3y 5x = 2 %3D 4 3.

A: Given system of equation is inconsistent

Q: √(√x − 2 csc xcotx + 1) dx is equal to 3 2x 2 3 3 2x 2 3 3 2235734 2x 3 3 2x 2 3 + 2 csc x + ln x +…

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Q: At which value in the domain does ffx) = 0? 10 8. f(x} 4- 2 4 -3 -2 2h 3 4 X -6 -8 -10 O x=-3 X= 0 X…

A: We can find the required answer from the graph as below.

Q: X+7x x-intercepts of f(x) = .2 %3D x +7x-6

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Q: 3. If f(2) = 3, g(3) = 2, f(3) = 4, and g(2) = 5, ƒ [(f • g)(3)]. %3D

A: Given: f2=3, g3=2, f3=4, and  g2=5

Q: Find f(3, - 4) if f(x.y) = 4x² + 3xy– 6y +6x- 3y – 7. frox (3, – 4) =

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Q: dx x2 – 2x + 2

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Q: 3xh-2x2h2+h³ limn→0 limp. h ||

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Q: . Let f(x) = x² + x + 3, g(x) = 5x + 3 and h(x) = 2x² – 4x + 1. Find the following: d. (fo h)(-5y)…

A: Composition of the function

Q: maximise 2.01 + *2 subject to T1 – X2 < 1, 2x1- x2 1, 2x1 + 2x2 2 4, X1, X2 20

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Q: (x*2)+(y*1.5)+(z*0.5)=20 find the values of X, Y, & Z

A: Please see the below answer.

Q: a. Find h(k(- 2)) b. Find h(k(x)) c. Find k(h(- 2)) d. Find k(h(x)) 3. Consider the functions, m(x)…

A: In this question we will use basic of calculus i.e concept of composite function. We will simply…

Q: | (7x + 4) e dx

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Q: Does S = {x² + 1,x² – 1, 2x – 1} span P2?

A: we know dimension of P2 is 3 so any set which span P2 must have at least 3 elements. here given set…

Q: If f(x,y) = 2x2-5xy+y?, find the value of f(1,2). A -2 -3 -4 D -5 B.

A: f(x,y)=2x2-5xy+y2

Q: Find y 1f y=X in (4x+1)

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Q: Find the Maclaurin series of e²° and its interval of convergence. Write the Maclaurin series in…

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Q: h(x) а. h(-2) b. h(1) c. For what values of x is h(x) = -1? -2 -2 -1 -1 1 -1 -2

A: Consider the table: x hx -2 -2 -1 -1 0 0 1 -1 2 -2   Find. a) h-2 Since the value…

Q: 3- Show that the function y = x³ + 3x + 3 satisfy the y= + xy= - 2y = 0

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Q: 7. Given f (x) = 4 +3|2x + 4|, find f (-3). %3D

A: Given that f(x) = 4 + 3 |2x + 4| We need to find value of f(-3). Now, Put the value x = -3 in given…

Q: Given h(x) = x²– 9x. Find h(a –h). A. a2 + 2ah + h² – 9a + 9h C. a? - 2ah + h2 + 9a - 9h B. a2 - 2ah…

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Q: Vhich function is equivalent to y = 2(r + 3)+52 %3D Oy = 2r + 14 Oy = 2x + 12a + 23 Oy = 2x + 12r+…

A: y=2(x+3)2 +5

Q: Specify the symmetry of the following functions: 10 (d) 0(x1, x2) = e-l#il X2+3

A: We need to find the symmetry of the function in part (d). We know that a function f is symmetric if…