. Sketch the graph of the unit step function, denoted by U and defined by U (x) = {0 1 if if x<0 0sx

Q: Use the given graph of f(x) to compute each of the following. Enter DNE if such a function value…

A: Given: The graph of the given function f(x) is,

Q: 2. The graph of a function f is given. Estimate Lf(x)dx using five subintervals with (a) right -1…

A: The graph of a function f is given.  it is not possible to estimate ∫08fxdx using five subintervals…

Q: Find the Arc lenght of the graph of the function f(x)=(4/5)x^5/4 on (0,4)

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Q: 1. Below is the graph of a function y = f(x). Estimate the area underneath the graph over [-3, 3]…

A: Since, you have posted multiple questions, but according to guidelines we will solve first question…

Q: Without a calculator or computer, match the functions e, In x, x, and x to their graphs in the…

A:

Q: 1-ly| = |x| + 1

A: Given: 1-y=x+1

Q: The function h is defined by the equation h (x) = (x – k)², where k is a positive constant. Which of…

A: h(x) = (x - k)2; where k is the positive constant.   y = h(x)   y = (x - k)2 y can not take negative…

Q: Find the slope of the tangent line to the graph of the function at the given point. g(x) = 19 – x²;…

A: The given data is: gx=19-x2 To find the slope of the tangent line at the point 3,10.

Q: Use the guidlines to sketch the graph of the function  y=1/x + ln x

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Q: Look at the given graph of the function V(x) from question 1 above. 150- -140+ -10- -120 -110 -100-…

A: By observing the graph ;

Q: The graph of f(x) and a line tangent to the curve at x = 4 are shown. If g(x) = f(x), evaluate…

A: Given graph is as follows where the red graph shows f(x)  and a line tangent to the curve at x=4.…

Q: Select the appropriate graph of the function below. 0.4h F = 6530 +h 0.35 0.08 0.3 0.25 0.06 0.2…

A: Given function is F=0.4h6530+h We have to draw the appropriate graph of the given function. Draw the…

Q: Show analytically (that is, without reference to a graph) that h(x) = v1 + x is always increasing,…

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Q: Find k such that the line is tangent to the graph of the function.

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Q: If n is positive and even, where is the graph of f(x) = xn increasing and where is it decreasing?

A: For f(x)= xn  where n is positive and even. for these type of function the general graph is given…

Q: make a sketch of the given function on [0,∞) and express it in terms of the unit step function.

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Q: Find k such that the line is tangent to the graph of the function.

A: To find: The value of k. Given: The tangent on the curve fx=k-x2 is y=-6x+1. Concept used: The…

Q: Suppose that a steel company views the production of its continuous caster as a continuous income…

A: Given data  Suppose that a steel company views the production of its continuous caster as a…

Q: Let f(x) = x^2(ln x − 1) (e).Find the inflection point(s) of the graph of f, if any.

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Q: 1)Express the following graphs in terms of unit step functions a) y = f1(t) 1 b) 1 y = f2(t) 3

A: To express the given graph in terms of unit step function.

Q: Find the value of the constant & that makes the following function continuous on (-o, o). | 2x – 6…

A: fx=2x-6     if  x≤6-3x+b  if  x&gt;6 Since the function is a polynomial function for all x&lt;6…

Q: If (x1, f(x1)) and (x2, f(x2)) are distinct points on the graph of a function f, the average rate of…

A: If (x1, f(x1)) and (x2, f(x2)) are distinct points on the graph of a function f, the average rate of…

Q: 5. Below is the graph of f(x). Consider g(x) = | s(e) dt 3 4

A: Given The graph of fx is given. Consider gx=∫0xftdt

Q: Write down a formula for ∂z/∂y if z is defined implicitly as a function of x and y by the equation…

A: The given equation is yz=e3x+z.

Q: The graph of a function f is given. YA Estimate 10 [20 1 0 1 f(x) dx using five subintervals with…

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Q: 6. Find k such that the line is tangent to the graph of the function f(x) = k/x and y = 2x + 18.

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Q: 1. Sketch (graph) each of the following functions: y = (x- 2) y =x²-8x +10 (a) (b) (c) Use the…

A: Sketch the Graph :   a) y = x-22 Horizontal axis is X-axis Vertical axis is Y-axis At x = 2 , y…

Q: 3. For what value of x does the graph of f (x) = e* – 2x have a horizontal tange

A: Solve the following

Q: At which value of x for the function whose graph is shown below differentiable? -4 VO 8 10 12 14…

A: From the given graph, we have to find the points at which the function is differentiable

Q: 3. If y = 2 x –-1, find the length of the graph of f from point z = 0 to z = 1.

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Q: Find the domain of the function. g(x) = ln(x - 1)

A: A function is a relation between an input variable and an output variable wherein each input…

Q: 5. Create a graph of the function: t -1 %3D x+2 Ay

A: Given:         Equation is y=-1x+2below graph is plotted using online tool

Q: 1. Draw the graphs of the following functions, and evaluate the are between the curven over the…

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Q: 1/2 1/2 Find the formula for the graph of the function /(x)given in the graph above. S0x) = 7-5cosx…

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Q: Determine the equation of the function f(x) if it has a hole (point of discontinuity) at (6,3) and a…

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Q: Find k such that the line is tangent to the graph of the function. Function= f(x) = k square root x…

A: Find k such that the line is tangent to the graph of the function. Function= f(x) = k square root…

Q: 4. Identify and sketch the graph of three distinct level curves of the function. f(x, y) = Ln(y –…

A: Given that the function fx, y=lny-3x. We have to sketch the graph of three distinct level curves of…

Q: Consider the graph of the function given in the image: Knowing that L {x (t)} = X (s). Find X (s)…

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Q: Find the function f(x) given that f ′ (x) = e x + x and the graph of f passes through the point (0,…

A: Given: f'x=ex+x &amp; Px,y=0,3   As we know that; The Power rule: ∫xndx=xn+1n+1+C And…

Q: Determine if the following functions grow faster, slower, or at the same rate as the function 4x as…

A: Given a function f(x)= 4x^2  Part a) To find the function grow faster slower or at the same rate as…

Q: Given the graph of f(x) below, for what value(s) of x is f(x) non-differentiable?

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Q: 13) Identify the function for the graph at right. a) S(x) =x² -1 b) S(x) = 4(x+2)² –1 c) (x) =…

A: Given, The graph of the function We have to identify the function.

Q: Find the level curve of the function at c=2 for g(x,y)=(x^3-y)

A: A scalar function g(x,y) is a rule that is used to associate a number or quantity with a particular…

Q: 5. Find the length of the curve given by the graph of the function f(x) = x/x, for a in [1,4].…

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Q: 2. The domain of the function y = 2159 / (k+1 - x^2)^(0.5) where k e R and k > -1, is:

A: The given function is: y=2159k+1-x20.5 ;       where k∈R   and  k&gt;-1

Q: 1. Find the length of the graphs of the following function, show all the work. 1 1 x2 f (x) =…

A: The given curve is: fx=ln1+x3+1121x-x22 To find the length of the graph in x∈1,2