Find f(a), f(a + h), and the difference quotient la + h) na) where h * 0. f(x) = 5 - 6x + 2x2 f(a) = f(a + h) = f(a + h) – f(a)

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: -1 if f(x) = xtan ,"x,find f' (/3 )by first principle

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Q: 1 x, and the line perpendicular to 6 Find the area of a triangle bounded by the y axis, the line f…

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Q: Find f. - Vi- () -- 8. f'(x) = 9 %3D V1-x2 f(x)

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Q: Find aa and bb so that the function f(x)={4x^3-3x^2+5, x<-2         {ax+b,             x is…

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Q: Find (f=1)'(a). f(x) = 5 + x2 + tan(Tx/2), -1 < x < 1, a = 5 (F-1)'(a) =

A: NOTE: Refresh your page if you can't see any equations. . take x=0 and check  so the point…

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

A: We can solve this problem using partial derivatives.

Q: 1. f(x) = x² +x – 1 for all values of x -

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Q: Find the absolute extrema of f(x) = x3 +5x2-8x+2 on the interval [−1, 2].

A: Given function is fx=x3+5x2-8x+2 ; x∈-1, 2

Q: Factor f(x)=2x^3+5x^2-83x+40 into linear fuctors given that -8 is a zero of f(x)…

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Q: Find f(x) iff, (p) Hence deduce F .

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Q: Find the absolute extrema of f(x) = x³ - 6x - 1 on the interval [-2,3].

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

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

Q: Find the absolute maximum and minimum of f(x)=x² - 3x on the interval [-1, 3]. Express your answer…

A: The points of local maximum and minimum can be obtained by differentiating the function and equating…

Q: Find (f-)'(a). f(x) = 4 + x2 + tan(Tx/2), -1 < x < 1, a = 4 %3D (F-1)'(a) =

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Q: Use the intermediate value theorem to show that the equation x + 2x + 1 = 0 has a solution in the…

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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: Find the constant a such that the function is continuous on the entire real line. 9x², ax - 3, a = x…

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Q: Find the interpolating polynomial of degree two for f(x) cos(r2) +r on the interval [-1, 1] using…

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Q: For the function f(x,.y,2) In (8x2 -7y4 +2xz2), find f, fy, fz, and fz

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Q: Find the absolute extrema of f (x) = 2x – 3x² – 12x +1 on the interval [-3,3].

A: fx=2x3-3x2-12x+1 Differentiating with respect to x, we get f'x=23x2-32x-121+0=6x2-6x-12 Now to find…

Q: Find the absolute maximum value of f(x) = x2 – 2x + 10 over the interval 0, 3 -

A: Find your answer below

Q: Find the convolution of (a) Ila * IIa. (b) f(x) * f(x), where f(x) = e-l=l, -0 < x < o. %3D

A: Convolution : The convolution of two functions f(x) and g(x) is given by f(x)*g(x)=∫-∞∞f(y)g(x-y)dy…

Q: Integrate f(x) from x = 0 to 10 using Three-Point Gauss-Legendre Quadrature. f(x) = 5000+24563x -…

A: Given f(x)=5000+24563x-7418x2+768x3-31x4+0.14x5 Let I=∫010f(x)dx Here a=0 and b=10

Q: Let f(x) = 3x In f'(x) = 3x1 + 15x1 In(a) f'(e?)

A: We have to solve

Q: Find the extrema of f(x) = 3x4 − 4x3 on the interval [−1, 2].

A: The given function f(x) = 3x4 − 4x3 on the interval [−1, 2].

Q: find the most general antiderivative of f(x)=6x^5-8x^4-9x^2

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Q: Find a cubic polynomial f(x)=ax3+bx2+cx+d that has horizontal tangents at the points (-5,2) and…

A: Calculation:Compute the derivative of y = ax3 + bx2 + cx + d as follows.y' = 3ax2 + 2bx +…

Q: Find the value of the constant c such that the function f(x)= (x-2)/( (root 4x+1)-3) if x#2, c if…

A: And

Q: If f(x) = tan (3x), then f'(æ): (A) 12 tan (3x) sec2(3x) (B) 4 tan (3x) sec2(3x) (C) 12 tan (3x) (D)…

A: Using chain rule of differentiation

Q: |(-m,-풀) -꿀 | (-풀,0) (0. 풀) (5. ") f(x) f '(x) f "(x) Concavity

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Q: Find the absolute maximum of f(x) = x³ – 12x + 1 on the interval [0, 4]. -

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Q: Find the absolute maximum values of f(x) = 2x^3 +  3x^2 + 4 on the interval [-2,1].

A: Given: f(x) = 2x3 +  3x2 + 4

Q: Find the absolute extremum values of f(x) = x² – 3x + 8 over the interval [1, 3].

A: First we find critical value and then use first order derivative test.

Q: What is the domain of g(x)=ln(25x-x^2) Show all the work.

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Q: If g (x) = 3x² + 12x – 96 on the interval [-8, 4]: What value of C satisfies Rolle's theorem?

A: here we have to use the result of the Rolle's theorem.

Q: Find the absolute extrema of f(x) = 2x3+3x2−12x on the interval [0, 2]

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Q: What is f'(3) if f(z) = z/2z - 2 I.

A: d(xn)dx=n(x)n-1

Q: Find the absolute extrema of f(x)=x^3-6x^2+5 on the interval [-3,5]

A:

Q: Let f(x) = x2 – 6 and po = 3 and pi = 2. Use Secant method Example: to find p3.

A: Given: f(x)=x2-6, p0=3 and p1=2 To find: Value of p3 using Secant method.

Q: Let f(x)=1x−2 ; for what values of x , f(x) will be discontinuous?

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Q: Find (f-1)' (a)   f(x)  = x3 + 3Sin x  + 2Cos x  , a= 2

A: Given expression: fx=x3+3sinx+2cosx Differentiate the above expression w.r.t 'x'…

Q: 5) [ (x² +1)´dtan x3

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Q: Find the absolute maximum value on (0, oo) for f(x)37-4x--

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: The function f(x) = 2x + 6x² – 5x + 1 is concave downward on the interval None (-0, –1) (-0, c0)…

A: Concavity.

Q: Find the value of c guaranteed by the Intermediate Value Theorem. x²+ 5x 9. 18 Ke) = 18 f(x) = f(c)…

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

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Q: Calculate h'(r) using the Product Rule if Mc)- (-3) (구+ ) = (2x – 3)(x² + 7) then h'(r) = ex' (x² +…

A: We will use product rule of derivative and comparing the terms with given terms of derivative to…