Evaluate: g(f(5)) y f(x) y = g(x) %3D 10 10 8. %3B 1 H10 9-8-7 6 •5 4 3 2-1, 123 45 6 8 9 10 10 87 654 3 2, 12345 67 8 9 10 -3 -4 -6 10 10 Submit Answer Answer:

Q: If f(x) t°dt -1 then f'(x) = f'(6) :

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Q: x2y/5z x3 y4/10z3x4y5/15z4

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Q: In Exercises 7–10, use the formal definition of limit to prove that the function is continuous at c.

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Q: f (x+h)–f(x) ,h+ 0 h fx) = -10x + 3h - 12h f(x) = 6xh + 3h - 5h O ) = 6x • 3h -5 fx) = 6x + 3h + 5

A: Let's find.

Q: The antiderivative of the function f(x) 2 + 7x is_ %3D 2 + 3.5x? + c -7 + 1.0x² + c 2 3.5x² + c -2 +…

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Q: Compute f'(x) a.) f(x) = (x2+1)e-x^2 b.) f(x) = (4e-x-

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Q: The antiderivative of the function f (æ) : 3 + 10x is x2 O -10 + 1.5x? + c -3 + 5.0x2 + c -3 5.0x2…

A: we know that∫xndx=xn+1n+1+c

Q: 9. If f(x) = x2 - 2x + 5, what is f(x+h)? %3D A a2 -2x + h2 - 2h + 10 x2 + 2xh + h2- 2x 2h +5 C a2 +…

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Q: The antiderivative of the function f(x) = +11x is -5 + 22.0x2 + c 5.5z? +c 11 + 2.5x? +c -5 + 5.5x?…

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Q: Q3/ Optimize the function Z = x + x ? Subject to: x1 + x2 4 x1, x2, 2 0 Using Lagrange multipliers.

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Q: The antiderivative of the function f(x) = + 8x is x2 6. + 4.0x2 + c - 4.0x2 + c - -8 + 3.0x2 + c -9-…

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Q: Evaluate: x/9x2 + 4 (A f (x) = -4 ln V9x2 + 4 + 2 +C f (x) = - In 4 V9x2 + 4 + 2 + C 3x © f (x) = -2…

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Q: find the critical point and classify it. a. f (x,y) =xlny + x2 -4x -5y + 8

A: The answer is given below:

Q: The antiderivative of the function f(x) = -+ 1lx is x2 -5 + 5.5x2 + c -5 5.5x2 + c -11 + 2.5x2 + c +…

A: We know that, The expression to calculate the antiderivative of the given function: Fx=∫fxdx The…

Q: D. Differentiate the following. f(x) = 4x5 - 5x +x +8 g(x) = * --*+x' + v2 c. h(x) = V9x° + V7x7 +…

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Q: The antiderivative of the function f(x) =.8+ 11a is -5 2.8x4 +c -5 + 2.8 + c -5 + 2.8x +c -5 .8+…

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Q: Let h(x)=f(x)g(x). If f(x)=−2x^2+2x+3 and g(x)=−x^2−3x−4, what is h′(−1)?

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Q: f(z) = 4x2 + 5x – 3 g(1) = 4x3 - 3r²+ 5 %3D %3D Find (f - g)(r). O A. (f – g)(x) = 4r - 7x² – 5x + 8…

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Q: Consider  g(t) = f(2t + 3,7t^2 ) . Knowing that g' (0)= −10, determine the value of fx (3,0).

A: Given : gt=f2t+3, 7t2 , g'0=-10 To find : fx3, 0 Pre-requisite : Chain Rule for one independent…

Q: The antiderivative of the function f(æ) 6. + 8x is. -6 + 16.0x? + c -6 4.0x? + c 6 + 4.0x² + c -6 +…

A: We have to find the antiderivative of the function f(x) = 6x2 + 8x

Q: nd fogoh. f(x) = x – 8, g(x) = Vx, h(x) = x – 8 %3D

A: Sove function as general

Q: 12. Given f(x) = 2x3 + 11x + 2 and g(x) = x³ - 2x2 + 7, find (f - g)(x). %3D A. x3-9x2 + 11x + 9 B.…

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Q: The antiderivative of the function f(x) = + 7x is -3 3.5x2 +c 3 + 3.5x? +c -7 +1.5x² + c -3 +14.0x²…

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Q: f (z) 10x +3 (2)) g (x) = -7x- 4 %3D What does (f-g) (r) e

A: To solve this question, We will use - (f-g)(x) = f(x)-g(x).

Q: Determine £(F}. F). 21 4s-18s +6 F(s) = %3D s(s-5)(s-6)

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Q: F(x)=Vxg(x)+3x, with g(1)= 1 and g'(1) 4, then F (1) is

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Q: f(x) = x* + 3x2 - 6 avenge Spe : fro-fa) [0,5] f(s) = 5":5-25-6 : 694 694+6 760 %3D 140 %3D b-a 5-0…

A: on using Newton rephson method we can solve this equation

Q: Let f(x) = x² – 6x + 2 and g(x) = value of (fo g)(2). -2x. Find the %3D Type your response

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Q: Find (fog)(4) if f(x) = x – 2r +1 and g(x) = V*. %3D -

A: Explanation of the answer is as follows

Q: 2. Determine f (x) given that f" (x) = 8x – 12x + 3. %3D 12t7 – t² – t + 3 dt - 3.

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Q: Compute f(c+h)−f(c) at the indicated point. f(x)=4x^2 ; c=5

A: Compute f(c+h)−f(c) at the indicated point. f(x)=4x^2 ; c=5

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: Find fogo h. f(x) = x* + 8, g(x) = x – 6, h(x) = Vx

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Q: The function f(x) 223 42x? + 240x – 11 has two critical numbers. The smaller one is x = and the…

A: Let's find.

Q: The antiderivative of the function f(x) + 8z is -5 -4.0x + c 2 + 4.0x? +c 5. + 4.0x? + c - -8 +…

A: Simple write the given function then use the simple rule of antiderivative  .

Q: Find G'(x). In(9) G(x) = (4e- 7t + 1) dt G'(x) =

A: Given query is to find the derivative of the expression.

Q: If f(x) V4 + 4t° dt, then find f'(x). -

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Q: The antiderivative of the function f(x) = 7 2 .8 + 10x³ is -2 2.5x4 + c -2 + 2.5x4 + c -2 + 2.5x + c…

A: We need to find the antiderivative of the function

Q: The antiderivative of the function 6. + 8x is. x2 f(x) -6 + 16.0x² + c -6 4.0x? + c - 6 4.0x2 + c -…

A: Solving

Q: The antiderivative of the function f(x) = 72+ .2+11 is -5 2+2.8 +c 4 + 2.84 c -5 + 2.8 Fc -5 2.84 +c…

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Q: If f(x) t2 dt then f' (x) = f'(3) =

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Q: If F(X) is an antiderivative of x2 + x1, then what is the value of F(1) - F(-1)? A 3 В -1 (с) о D)…

A: To find out F(1)-F(-1).

Q: If F(x) is an antiderivative of x2 + x1, then what is the value of F(1) - F(-1)? -2

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Q: Find f'(a) for 6. f(x) = %3D V6-47 18 f'(a) = (-4x+ 0)*

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Q: If f(x) = 4x – 1 and g(x) = Va2 +1, then f(g(x)) is - Oy = (4x – 1) Vx² +1 Oy = 4Vx2 +1–1 4x-1 Oy=…

A: Given fx=4x-1, gx=x2+1To find f(g(x))

Q: 2 Find f4(x), given f(x) = 5x ° – 4x² – 2x+ 1 O A. 300x O B. 600x O C. 400x+8 O D. 400x´+8

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Q: 2. Let f (x) = 6 – 2x, g (x) = Vx + 6 , and h (x) = 3x² + 4 Find the indicated values. %3D A) (f +…

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Q: Exercise 1.3 1 1 f(x) = 2 – x? for xeR %3D g(x) = = + 3 fo: R -- Find the value of gf(4).

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Q: The antiderivative of the function f(x) = -.9 + 10x³ 9. is -6 2.5x4 + c -6 + 2.5x4 + c -10 + 1.5x* +…

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