Integrate the function. 49- dx 11x 7 49- х2 7 49- x 2 O A. In +C + 11 11 V49- x? +C .2 11 49- х2 Ов. In + 11 7 V49 - x2 49- х2 OC. 7 +-+C In + 11 11 V49 - x? 49 - x2 + sin 7 OD. -17 - +C In + 11 11

Q: Find the value of the Boolean expression for (x1 ^ (x2 V (X1 A2))) v ((x1 ^T2) V (X1 A 3)|

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Q: State the domain of the rational function. x-9 8) f(x)= x2.5 A) (, -) O--,-3)u(-3,3)u (3, ) B)…

A: To find the domain of the below rational function. fx=x−9x2+5 fx=11x+5

Q: f(x+h) = √x+htt' - √XTY'

A: Given:- fx+h-fxh=x+h+4-x+4h

Q: tan( 2 tan''( x/ 13)) = Select one: O 2x ( 169 - x² )ª./( 2x² - 169 ) O 26 x/( 169 - x* ) O 2x ( 169…

A: Given tan(2tan-1(x13)We know that 2tan-1(x)=tan-1(2x1-x2)and here x=x13⇒tan(tan-1(2x131-(x13)2)

Q: x=[-5,-4,-3,-2,-1,0,1,2,3,4,5], A= [0.45    0.61    0.75    0.88    0.96   1    0.96    0.88    0.75…

A: Given: x=[-5,-4,-3,-2,-1,0,1,2,3,4,5], A= [0.45    0.61    0.75    0.88    0.96   1    0.96    0.88…

Q: f(x) > 0 7+ 6+ 5+ Select one: O a. (-00, 3) O b. (3, 4) O c. (3,00) O d. [3, 4] 3+ -8 -7 -6 -5 -4 -3…

A: since from graph it clear that  f(x)>0 means f(x) is positive for the   interval  range…

Q: A power function has the form: f(x) = c x x^k where c is any real number and k is an integer.…

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Q: 1s the ordered pairs a tuncrion? {(3,4)(-3,4)(6,-2)(-2,3)(2,7)(5,4)} a function?

A: We have to check

Q: Q18   tions, as indicated, and simplify your answer. (y+1)/(y-1)-(y-2)/(y+7)-(4)/(y^(2)+6y-7)

A: Taking LCM of denominators is the key here.

Q: Evaluate S*dx Vx+1 à. (1 +)} B. - (1 + c. (1-5 + c D. - (1-5i + c + C В. + C 3 3 A OB Ос OD

A: The given options are wrong. We use power rule and integration by parts formula to evaluate the…

Q: Example for unboundedness Min -2₁-3x2 2₁-22₂54 -2₁ + x₂ 5 3 x2 x₁, x₂ > 0 s.t

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Q: (10x-19) (3r + 2) (5x-3)

A: We will use the exterior angle property of a triangle that states that an exterior angle is equal to…

Q: Find A, B, AB, and [AB]. Then verify that |A||B| -2 1 1 ^-[¯² _²]- ® -[ 1 _²] A = 4 -2 -1 (a) |A|…

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Q: a/ Find the domain and Yang of each the fo Mo wing ya-3 Sinx 2+3x2 多 y2.14-x -3 X+1 Xー

A: Explanation of the solution is given below...

Q: 3) g(x) = x + 2 f(x) = x³ + 4x Find (g · f)(x) А) бх* - бх3 + бх? - бх 2x + 4x2 – 8x 4) f(x) = x² –…

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Q: The domain of the function 11x + 7 is I - 3 f(z) = %3D

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Q: /x + 3 + 4 – x > - 3

A: Answer

Q: Rewrite each function, differentiate, and then simplify (no negative exponents!) Function Rewrite…

A:

Q: 3/4(8y-9)<3

A: We multiply both sides by 4 first.

Q: • If x = -0,8, then [x-1]%D %3D 1. -2 2. -1 3. -0.8 4. 1

A: Greatest integer function: For all real numbers x, the greatest integer function gives the largest…

Q: APQR = R R(R(AABC)) Given the fact that the coordinate plane below, which single-transformation and…

A: Given: Triangle ABC…

Q: Let f(x)=6x+1 and g(x)=5-x^2 , find (f o g)(x) a. x^2 b.-6x^2+30 c.-6x^2+31 d.-36x^2-12x+4 e.…

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Q: differentiate f(x) = O O O O - 1 1 9x2+ 13x-5 18x + 13 (9x²+ 13x - 5) 3/2 1 (9x² + 13x - 5) 3/2 18x…

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Q: The rule of f is to divide the product of the input and 14 by two, then subtract seven halves. * 1…

A: Given  The rule of f is to divide the product of the input and 14 by two, then subtract seven…

Q: If the domain consists of all real numbers, just type t = 00 with tw To input the symbol +, type !=…

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Q: Determine k such that kx^2 - 4x + 1/2 = 0 has real and different solutions

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Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.