If I have the graph f(x)= 4x5 - 5x4 + 9 is it only possible to...

If I have the graph f(x)= 4x⁵ - 5x⁴ + 9 is it only possible to have a local max and min since the graph goes to +/- infinity?

Expert Solution

milcah answered 2 years ago

Part A: Find the slope of the tangent line to the graph of f(x)=√(5x+9) at the...

Part A: Find the slope of the tangent line to the graph of f(x)=√(5x+9) at the point (8,7) Part B: Find an equation of the tangent line to the graph of f(x)= −3x^2 at the point (−3,−27). Solve your equation for ?. Part C: Find an equation of the tangent line to the graph of ?(?)= 7/(x-4) at the point (5,7). Solve your equation for ?.

Let x be a fixed positive integer. Is it possible to have a graph G with...

Let x be a fixed positive integer. Is it possible to have a graph G with 4x + 1 vertices such that G has a vertex of degree d for all d = 1, 2, ..., 4x + 1? Justify your answer. (Note: The graph G does not need to be simple.)

Consider f(x)=2x−(1+a)f(x)=2x−(1+a), x∈(0,1+a)x∈(0,1+a) where a=9−a=9− the last digit of your student ID (i)(i) Draw a plot...

Consider f(x)=2x−(1+a)f(x)=2x−(1+a), x∈(0,1+a)x∈(0,1+a) where a=9−a=9− the last digit of your student ID (i)(i) Draw a plot of the periodic Fourier Series expansion of f(x)f(x). What is its value at x=0x=0 and why? Is it odd or even? (ii)(ii) Expand the given function in a Fourier Series.

17) Graph f (x ) = (x+3)e^−x. Include any possible local minimums or maximums, any inflection...

17) Graph f (x ) = (x+3)e^−x. Include any possible local minimums or maximums, any inflection points, horizontal asymptotes, and vertical asymptotes. 18) Find the dimensions of a rectangle with area 6400 ft^2 whose perimeter is as small as possible. 19) Find f (x ) if f '( x) = sin x + 5 cos x where f(0) = 2 20) A particle is moving in a straight line with acceleration a(t) = e^t − 3t at time t. If...

What are the possible rational zeros of f(x) = 3x4 + x3 - 13x2 - 2x + 9?

Use finite approximation to estimate the area under the graph f(x)= 8x2 and above graph f(x)...

Use finite approximation to estimate the area under the graph f(x)= 8x2 and above graph f(x) = 0 from X0 = 0 to Xn = 16 using i) lower sum with two rectangles of equal width ii) lower sum with four rectangles of equal width iii) upper sum with two rectangles of equal width iv) upper sum with four rectangle of equal width

Suppose the first and second derivatives of f(x) are: f' (x) = 4x(x^2 − 9) f''(x)...

Suppose the first and second derivatives of f(x) are: f' (x) = 4x(x^2 − 9) f''(x) = 12(x^2 − 3). (a) On what interval(s) is f(x) increasing and decreasing? (b) On what interval(s) is f(x) concave up and concave down? (c) Where does f(x) have relative maxima? Minima? Inflection points?

On the graph of f(x)=sinx and the interval [−2π,0), for what value of x does f(x)...

On the graph of f(x)=sinx and the interval [−2π,0), for what value of x does f(x) achieve a minimum?

9. Let f be continuous on [a, b]. Prove that F(x) := sup f([x, b]) is...

9. Let f be continuous on [a, b]. Prove that F(x) := sup f([x, b]) is continuous on [a, b]

9. a. If the unit of f(x) is gallons and the unit of x are in...

9. a. If the unit of f(x) is gallons and the unit of x are in miles then the unit of f’(x) = ____________ b. If f is an increasing function at x = 4.5, then f ‘( 4.5) <0 True or False? If g’ (4) = 0 and g “ (4) >0 , then g(4) is a ______________ value of the function. If f(x) is continuous and f(2) = f(6) = 7 , then f’(c) =0 when 2<c<6. True...

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