Find each f(c) using synthetic substitution. 12. Ax) =5x + 10x* + 3x + 8x² – 6x – 3; c = 3 (SHOW WORK)

Q: let f(x) = 2x^2+2x+3 and let q(h) = f(1+h) - f(1)/ h.    Then q(0.02) = ?

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Q: If Fx) is an antiderivative of x2 +x1, then what is the value of F(1) - F(-1)? 3

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Q: 1 Find Vf if f = 2 /x²+y² +z?

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Q: Find the linearization L(x) of the function f(x) = x^3/4 at x=256.  L(x)=?

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Q: 10. If f (x) = 2x(1+In(2x)), and f'(c) = 6, find c.

A: Given function is fx=2x1+ln2x. Product rule of differentiation states that: ddxuv=vddxu+uddxv…

Q: The antiderivative of the function f(x) : .4+7.5x³ is. -7.5 + 0.5x² + c -2 + 1.9x* + c -2 +1.9x³ + c…

A: To find the integration

Q: 1² –3 (f) csc²(3x – 1) +

A: " Since you have asked multiple question. We will solve first question for you. If you want any…

Q: If f(x, y) = In (2x-3y), then find of ||

A: We can solve this problem using partial derivatives.

Q: 2) If f(x) = , then f() : 2x + 3 6x – 5 SHOW ALL YOUR WORK =

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Q: 1. Differentiate the following and for each state whether you have used the product rule and/or the…

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Q: The function f(x) = 2x³ 30x? + 54x 6 has two critical numbers. The smaller one is x = and the larger…

A: We have to find

Q: Show that a cubic function f (x) = x3 + ax2 + bx + c is increasing on (−∞,∞) if b > a2/3.

A: Given function is: fx=x3+ax2+bx+c Then we get, f'x=3x2+2ax+b

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Q: Q 4. (a). Show that fog = 4x² - 1, if ƒ(x) = 4x – 5 and g(x) = x² + 1. (b). Show that gof = x + 4\x…

A: Given, f(x)=x+2,g(x)=x2+6 To show: gof=x+4x+10 Solution: f(x)=x+2,g(x)=x2+6 We know,…

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: find the interverse of the fuction f (x)= 2x + 3/x-4

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Q: a) If y = 3x – 2, x = 3t + 2, and t = 3k – 2, find b) Express y as a function of k ify = 2x + 5, x…

A: Introduction: A function is an expression, rule, or law in mathematics that defines a relationship…

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: Suppose z is implicitly defined as a function of x, y, by means of the equation: z4+8zx=3x2+12y2…

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Q: -x², 5х - 4, 4x* - 3х, 1<x<2 X <0 0 <x<1 If f(x) = then f(x) is discontinuous at x = Зх + 4, x 2 2…

A: f(x) is discontinuous at x if left hand limit not equal to right hand limit

Q: 1. Differentiate the function f(x) = (4x + 3)(2x – 5). You may use the substitution u = 4x + 3 and…

A: Solve

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: Describe the long run behavior of f(t) = 5t° – 5t% – 2t + 4 - - As t → 0, f(t) → ? v As t → 0, f(t)…

A: If degree of the polynomial f(x) is odd and leading coefficient is positive , then…

Q: 9. If f(x) = kx – 1 and f'(15) = 2, find k. %3D -

A: Given f(x)= kx3 - 1 and f-1(15)=2 then we have to find out the value of k

Q: x²-3x-4 if x>-1 x- 4 if x < -1 10.Why is f(x) = %3D x-4 discontinuous at x = -1?

A: Since this is a multiple question, according to the Bartleby answering rule, only first question is…

Q: 2 f(x) = √4-x² [-1,1] n = 4 a = -1 right left & middle hand rule b=

A: The given function is fx=4-x2 over the interval -1, 1. The number of subintervals is n=4.

Q: Find the linearization L(x) of f(x) 5x2 5x + 5 at x х — 2. a) L(x) 15x 15 O b) L(x) 25x + 15 c) L(x)…

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Q: If F(x)=[ -dt , find F' (3). 2t 2

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Q: Find the most general antiderivative of the function. f(x)= 8x-11/10

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Q: Graph the following functions.

A: The function: fx=-2x-1if x&lt;-11if -1≤x≤12x-1if x&gt;1

Q: 20. f(x) = In x + 2e 3x2

A: Topic = Derivative

Q: on f(x) = +9x is %3D 2)

A: There are multiple questions, as per company policy kindly ask other questions separately.    Given

Q: 3. If f(x)=-4x+2 and g(x)=vx 8 find (fog\l12) 4. If f(x)=-3x+4 and g(x)=x find (gof)(-2) 5. If f(x)…

A: 3. Given f(x)=-4x+2 and g(x)=x-8f∘g(12)=fg(12)so now substitute g(12) in given…

Q: c. f(x) = (-1 if x 0 %3D

A: We need to find possible points of discontinuity.

Q: . What is F(/3) if C = 0?

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Q: Calculate M6 for f(x) = √7x on [0,2]

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Q: Q 4. (a). Show that fog = 4x² – 1, if f(x) = 4x – 5 and g(x) = x² + 1.

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 4. If the function f is defined by f(x) = 5x + 3, then 2f(x) + 1 = %3D %3D 7x+4 В 7x+7 10x+4 D 10x+6…

A: If the function f is defined by f(x)=5x+3, then 2f(x)+1=

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: Q14- If f(x,y) = 2xy - x² Iny- 2y² + 3x + 4, then axy is : for the function

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Q: If FIX) is an antiderivative of x-2 + x1, then what is the value of F(1) - F(-1)? A) 3 (в) -2 -1

A: Solved below

Q: Find the linearization L(x) of f (x)=- Vx -5 at a =3. – 5 2.

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Q: 23) The domain of f(x) = Vx + 3 is

A: Consider the function

Q: Find the linearization at x = a. 1 f(x) = = 5 +3

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Q: f  f(x)=ln(7x^6−3x^2) and g(x)=(π3lne‾‾‾√+13log2(16))5e+x5+6x,  f′(1)=

A: f(X)=ln(7x^6-3x^2)         2nd question is not written proper please write properly and resend

Q: Compute f(x) and f(x) dx for the function f(x) = ∞  ∑…

A: f(x)=∑n=0∞x2n2n !.....(1)This is the well known series of the cosh(x)cosh(x)=∑n=0∞x2n2n !Now as we…

Q: f(x)=(x-2)/(Ixl-2) has removeable discontinuity.

A: As we know that a function f(x) is said to have a removeable discontinuity at x=a if…

Q: Find an antiderivative of ƒ(x) = 3x2 that satisfies F(1) = -1.

A: f(x)=3x2, F(1)=-1