For items 5-7: Given that f(x)dx = 3 and g(x)dx = 4, evaluate 5. [4 f(x)– 3 g(x)]dx А. 12 В. О С. 24 D. 1 6. –2 f(x)dx+S g(x)dx 1 А. 8 В. 2 С. —8 D. -4 7. ff(x)dx – S§g(x)dx – f g(x)dx А. —1 В. 7 С. 1 D. –7

Q: -3z + 4, a < -2 22 - 2, 2-2 18. If f(x) = find f (-2). || A. 10 В. 2 C. -2 D. -6

A: Given function is fx=-3x+4, x&lt;-2x2-2    ,x≥-2.

Q: Suppose that f(9) =-6, f'(9) = 3, g(9) =-8, and g'(9) = 7. Find the value of (9). а. 4 b. 1 9 C. -8…

A: Explanation of the answer is as follows

Q: 5. S: 3x²+4x+1 dx x3+2x²+x+2

A: Topic:- integration

Q: For each of the functions y = f (x) described below,find f (2).

A: f(2)

Q: 6. y = xe* 7. y= 3x.e* 8. y = x² In(x) 9. y =x*(5x – 1) 10. y = (x² + 2x)5(3x-3 +x²)-7 11. y = (1 –…

A: Use product rule of differentiation.

Q: Evaluate V3x? +5 dx xV3x* +5 , 5V3 in/J3x + 3x² +5)+ C xV3x² +5_ 5/3 In 3x + V3x +5)+C A. C. 2 2 6.…

A: Use the method of integration by parts by assuming '1' as the second function.

Q: If z3 − xz − y = 0, find 2z - дхду

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: Evaluate /x ex dx ,6x Ο None ,6x x2(등) + 2x() -2() + C ebr 6. 216 x2(등) - 2x() + 2(%) + C 6 36 ,6x O…

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Q: 7x +3 Given f(x) then f-1(x) will be %3D 8 8х — 7 А. 7x-8 3 8х - 3 D. 8x + 7 3. 7 elect one: OB O A…

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Q: The range of y = 4sinx + 5 А. —4 < у <4 В. —9 <уS9 С. -1 <у <9 D. 1< y<9

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Q: : Find a2f and a2f of the following: дх ду ду дх (1) f(x,y) = In(x?y) + ху (2) f(x,y) = e-3x*y³ +…

A: While finding partial derivative in multivariable function, if we have to find the partial…

Q: Differentiate y = In(x³ + e*) .2 3x+eX А. x3+e-X 3x2-ex В. x3 +e-X 3x2-e-x C. x3-e-X 3x2-e-x D.…

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Q: then If f(x,y)= x²y+ y, 3x O b. бху 6x O d. o

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Q: Find the max or min value of /x) -3x + 6x + 4

A: We have to find the maximum or the minimum value of the following function -  f(x) = -3x2+6x+4

Q: 5. lim(5x? - 4х + 3) x+2 А. 13 В. 14 С. 15 D. 16

A: We need to choose the letter of the correct answer: 5. limx→25x2-4x+3 A. 13 B. 14 C. 15 D. 16

Q: The values for P(A₁B) and P(A₂B) were found to be 0.20 and 0.02, respectively. Use these values to…

A: The values for P(A1nB) and P(A2nB) were found to be 0.20 and 0.02 P(A1nB) = 0.20 P(A2nB) = 0.02 Find…

Q: Find f (x) and simplify. x +5 f(x) = Зx-2 Which of the following shows the correct application of…

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Q: 8. y = x2(x + 1)3 9. (2 x- 1)' (x+ 3)* 10. y=5 x- 3 11, s 3 V16+ KIDA

A:

Q: x3 – 3x2 – 6x - Show that - = x-3 - x2 – 9 x – 3'x +3* - - x3 - 3x2 - 6x -dxp. Hence, evaluate x2 -…

A: To show: The equation x3-3x2-6xx2-9=x-3-3x-3+6x+3 and then evaluate the integral ∫x3-3x2-6xx2-9.…

Q: If g(x)=2x−3, and h(x)=1−4x, find the following new functions,as well as any values indicated. A)…

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Q: For the function z = - 8x³ - 2y² - 2xy, find a z(1,-2), andz(1,-2). dz dz a ax' dy ax

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Q: For #'s 6-9: y= (x+3)(x+1)(x-2)(x-4) 6. Find the value of y when x= -2. А. 24 В. 26 С. -24 D. -26

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Q: 4. f(x) = *+1 g(x) = 1 %3D %3D х-1 Evaluate f(1). 2x+3 2 5. f(x) = g(x) = ; %3D 3x-1 Evaluate f(3).

A: 4. f(x)=x+1x ; g(x)=1x-15. f(x)=2x+3x ; g(x)=23x-1

Q: Find the Derivative

A: The derivative of a function with respect to a variable is equal to the instantaneous rate of change…

Q: If g(x)=2x−3, and h(x)=1−4x, find the following new functions,as well as any values indicated. A)…

A:

Q: If f(x) = V5x – 3, find f-1(x). | 3 x3 + 3 А. f-(x) C. f-1(x) : ==X- 5° 3 3 x3 f-(x) =- f-'(x) = 5…

A: Given, f(x)=5x-33 To find the inverse function, f-1(x) Take f(x)=y . The idea is to solve the above…

Q: If f (x)-x - 2х +10, thenf"(2)-? А. 10 В. 12 С. 14 D. 16

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Q: Find the e v

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Q: solve for x if CDy=4(x-E)

A: