Transformation of ₂F, : X A x If |x| < 1 and < 1; then: 2³₁ (a, b; c; x) = (1 − x)" ₂ F₁ (a.c-b; c;_=_=-1) 2

Q: Use algebraic manipulation to prove that (X +Y)(X + Y) = X

A: Given: X+YX+Y=X Now, first we shall simplify left hand side of equation.

Q: For f(x) = x and g(x)=x-2, find the following functions. a. (fo g)(x); b. (g o f)(x); c. (fo g)(6),…

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Q: Q. / Standx dx 3 None 2log|sec4x| + c 3 8log|sec4x| .+ c 3 2log|sec4x| + c 4

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Q: iate ſ In(x + v1 +x²)dx

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Q: 2х [3]y = Ce* +C2e- - 3x+3/2-2xe

A: 3 Given that y=C1e−x+C2e2x−3x+32−2xe−x.......1. We have to eliminate the arbitrary constant.…

Q: 6. Use algebra to determine whether the given functions are is even, odd or neither a) f(x) = -x³ +…

A: For a given function f(x)  If it satisfies the condition  f(-x) = f(x), then the function is Even.…

Q: Solve the following function for the value (s) of x  2x2-6x+4=0 a)(2,0) (1,0) b)(-2,0) (1,0)…

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Q: Evaluode Lim [x]+[2x ]+ n2

A: We know that, x-1&lt;x≤x Therefore, 2x-1&lt;2x≤2x ⇒3x-1&lt;3x≤3x . . . ⇒nx-1&lt;nx≤nx ∴ (x + 2x + 3x…

Q: Let a = (-2,3, –4)" , y = (3,-2, -5)". (a) Find ||a||1. (b) Find ||a||2- (c) Find ||y||o-

A: Given Information -  x = -23-4  and  y = 3-2-5We have to find the following - (a) x1(b) x2(c) y∞…

Q: If x < 1 and 2k₁ (a, b; c; x) = (1 − x)`ºz F₁ (a.c-b;c;=_=_=_1) 2 - X < 1; then : X

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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: Evaluate * Vx² – 1 dx.

A: Given,  ∫ x2-1x2dx

Q: Find the interval where the function, 3 f(x) = * - 4x – 2x? is increasing? O a. (-2,-1) O b. (-∞,…

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Q: Compute gxxyz for g(x, y, z) = x²y³ z³. (Use symbolic notation and fractions where needed.) gxxyz =

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Q: giver yn f(५) ५) -2x + 3, + 2, find of ax

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Q: 3 1-x Find [, [* (x³ + y)dydx

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Q: Problem 1 Solve the following optimization problem. Maximize 3x1 following constraints Xi + 4x2 0.…

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Q: Evaluate C(x,(x−1))

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Q: How would you find g (A) if a) g (x) = 1. b) g (x) = (x + 1)2 . c) g (x) =⌊ (2x + 4)/3⌋ Where A =…

A: Disclaimer:  “Since you have asked multiple questions, we will solve the first question for you. If…

Q: lim (4x2 + 2x + 5) = 5x→0

A: We will plug x=0 in place of x

Q: 6х —9 4.) dx 22— 3х +2

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Q: EVALUATE

A: ∫ x-3x-1+x2dx

Q: 1. Evaluate each expression using the graphs of y = f(x) and y = g(x) shown in the figure. (7. 6) y…

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

Q: 4. Consider the functions g(x) = and . Determine (12)- (}),

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Q: Evalut the experessions x+3 and 2x when x is 4

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Q: Equal versus Equivalent Given the two sets: А - {25, 28, 29, 27, 25, 26, 27, 30, 27, 31} and B = {z…

A: We have to check whether given sets are equal or equivalent.

Q: Find all the values of z for which 1+z 1 1 1 1 1+z 1 1 1 1 1+z 1 1 1 1 1+z 0.

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Q: 2 Suppose y is a function of x such that y * and y(4) = -3. Find y. |

A: The differential equation is given by y' = 2x                                   .......(1) Initial…

Q: B. Let f(x) = x – x - 4 and g(x) = 2x – 6 4.) Find ()(x - 1) 5.) Find (4) (x)

A: topic - functions