1f \ x | < 1 and 1= x < < 1; then: 2 ₂ F₁ (a, b ; c ; x ) = (1 − x)¯ª₂ F₁ [a, c − b; c; X _— — ₁) X-

Q: S x4X+1 2

A:

Q: snip

A: If f(x)=ax, Then to show that, f(αx)=f(x)α

Q: Let f (x) = Evaluate the following. Simplify if possible. 9x +7 f (x) – f(a) a) 7 where A = A' for x…

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Q: Let x + 2 f(x) x + 9 f-(- 9) =

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Q: x+3 4) Evaluate f dx x+1

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Q: sVx? + 1d: Idx = 1

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Q: Find f'(x) for each of the following:< Ax) = 3x³ – 2x +4 b Ах) — 3(х + 2)? -2е a 8x* – 3x Ax) = Ax)…

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Q: Show that /I +x 0.

A: Mean value theorem: Let f be a function satisfying the following properties: 1. f is continuous on…

Q: Find: te (1 + Inx + ) he y? y+ylnx+ 2x O ylnx +y o 1 y x2 « Previous 98 %23 立

A:

Q: X+2 If f(x)= for which of the following X-1 values of xis ((x) undefined? A) -2 B) -1 1 C) D) 1

A: The given function is  f(x) = (x + 2)/(x - 1)

Q: If f(x) 2 0, then [ flx)dx Select one: O True O False

A: F(x) is postitive so area under the curve is above x-aXis so it is positive.

Q: (b) (x*y2,1/3(xy) -1/3 X + 0, y # 0

A: We will simplify the expressions by writing the exponents with equating the bases.

Q: For what values of x is Ax) concave down if f "(x) = 3x' – 14x² + &r?

A: Given that, f''x=3x3-14x2+8x For what value of x is fx concave down.

Q: 119. If f(x) = a*, show that f(A + B) = f(A) • f(B).

A: Given: fx=ax For finding fA+B, we put x=A+B in given expression and simplify it

Q: For x> 0, 음 S"규E dt = Itt? %3D

A: For x&gt;0, we need to find ddx∫1x11+t2dt. Leibniz's rule for differentiation under the integral…

Q: Compute x -1 where x =i +1 2.

A: topic- complex numbers

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: 1 show that f (-2) = f(2). 4 If ƒ(x) = x" 4

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Q: evaluate L-1 { t/(s-2)(s+3)}

A: By using partial fraction and table of Laplace transform we solve the given problem as follows :

Q: If (2,9)=, then f„- If f(x,y)

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Q: 4x - 7x Differentiate with respect to 'x' 6x + 5

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Q: e) k(x) = (2x-1) ³x

A:

Q: Let f(x)= ax'+x² + bx +6 where a and b are real numbers, and f(2)=3. Find the value of f(-2).

A: f(-2) = 17  The detailed solution is as follows below:

Q: St¹ sin(2t4) dt

A: Given integral:- ∫t7sin2t4dt

Q: 5.) Evaluate f(-3) for f(x) = x³ +3x + 17

A: Given  f(x) =x3+3x+17

Q: Let fé)--을(t)6. Eveluate f(-8) %3D f68)= ? %31

A:

Q: 5. Determine f,(x); f(x) = x*², x > 0

A: We need to find out first partial derivative

Q: Suppose that f (x) = 8x² – 2x + 5. Evaluate each of the following: f'(9) = f'(-11) =

A: Given,            fx=8x2-2x+5

Q: R ,,D المناسبة ل لداله الاتية : س / أختار قيمة x-2 f(x) = x+2

A: Root of the function is 2.

Q: The inflection point of the function f(x) = x³ – x² + 5x +1 is: 70 (3, 27 70 (-3,–) 27 (-3 70 (-3,…

A: Given function is fx=x3-x2+5x+1

Q: Let y = || = y'"' = = x + 7 X X Hint: Try to do this without using the quotient rule.

A: