Sketch the graph of a) Sketch the graph of f(x) = |x – 9 b) Find an expression for f'(x) c) Which points is the function not di fferentiable.

Q: Sketch the graphs of f(x) = sin x, g(x) = ∣sin x∣, and h(x) = sin(∣x∣). In general, how are the…

A: Here is the graph of f(x)   Here is the graph of g(x)   Here is the graph of h(x)

Q: Graph the function. f(x) = 4 - cos(x)

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Q: Find the value a > 0 such that the tangent line to the graph of f(x) = x²e-2x at x = a passes…

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Q: Express the area A of an isosceles right triangle as a function of the length x of one of the two…

A: We have to express the area A of an isosceles right triangle   We have to write area as a function…

Q: Sketch the graph of f. sin x, f(x) = {3 - 3 cos x, cos x, y y 6 - IN

A:

Q: 1. Determine and sketch the domain of the function f(r,y) = e2/Vy¬I, What is the range of f?

A: So, given function is    f(x, y) = e-x/y-1     here,  y should strictly be above 1    and then it…

Q: Find the function f given that the slope of the tangent line at any point (x, f(x)) is f'(x) and…

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Q: The function f(x) is everywhere continuous and differentiable. Prove that if the function f(x) has…

A: Given that f(x) is continuous and differentiable everywhere and f(x) has two real roots.

Q: 7 Sketch the graphs of f (x) = sin(π x) and its dilates f (3x) and 3f (x)

A: f(x)=sin(πx)

Q: Sketch the graph of f. x < 0 sin x, f(x) = {5 - 5 cos x, cos x,

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Q: Find the points of inflection and discuss the concavity of the graph of the function. f(x) = sin…

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Q: Find the function f given that the slope of the tangent line at any point (x, f(x)) is f'(x) and…

A: Find the antiderivative of the given function and then the values of x and y to obtain the C. The…

Q: 0.5 -0.5 0.5 --0.5-

A: Local maximum of the function.

Q: Sketch the graph of the function f(x) = 12 x sin x on the interval [−3π, 3π]

A: we have to sketch the graph of the given function at the given interval. f(x)=12xsinx on the…

Q: Express the function F(x) = sin(x) in the form f • g. f(x) = 8(x) = %3D

A: fog(x) = f ( g(x)) Here it is given that  fog(x) = sin(x5)   So we can say that f(g(x)) =  sin(x5)…

Q: Find the function f(x) such that f''(x) = x + cos(x), f(0) = 1, and f'(0) = 2.

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Q: Find the denhetive f fue function: In(G at

A: Explained below

Q: In Exercises 77-80, determine the point(s) at which the graph of the function has a horizontal…

A: According to product rule, if f(x)=u(x)*v*x) then f’(x)=u(x)*v’(x)+v(x)*u(x).

Q: Find the derivatives of the function f for n = 1, 2, 3, and 4. Use the results to write a general…

A: fx=cosxxn When n=1, fx=cosxx Differentiating with respect to x, we get…

Q: 2. Let f : R → R be a differentiable function. Show that the function f', the derivative function of…

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Q: Find the function f given that the slope of the tangent line at any point (x, f(x)) is f'(x) and…

A: This question is related to Functions and application of integration, we will solve it using given…

Q: х — 7 - f(x) = %3D 5х + 7 Find an equation for the tangent line to the graph of f at x = 3.

A: Given: fx=x-75x+7 To find the tangent line, we find the slope Therefore differentiate with respect…

Q: Sketch the graphs of the function f(x) = sin x .

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Q: findthe domain of the function. f(x)=\sin e^{-x}

A: The domain of a function is the values of the variable that can be input into the function. The…

Q: Sketch a graph of the function f(x) = 2 sin(z) %3D 6+ 5 4 3 -6 -5 -4 -3 -2 -1 -- 6 7 -9 -8 -7 2 3 5…

A: How to solve: make a graph of sin(x) and then transform it one by one:

Q: A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions 36…

A: Given that:   (1)                                                (2)

Q: Find f'(x). f(x) = ex – 2x f'(x) = e-2 %3D Compare the graphs of f and f' and use them to explain…

A: Given  f(x)=ex-2x

Q: A closed rectangular box with a square base has a volume of 8000 cubic centimeters. Express the…

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Q: Discuss the continuity of the function f(r) at a = 0.

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Q: Let f be the function defined by f (x) = x cos x – sin x. What is the absolute maximum value of f on…

A: The given function is: f(x)=x cos(x)-sin(x) ;                   x∈-π2, 2π

Q: Consider the function f(x) = 1 - 7x² OI function on this interval, i.e. f(3)-f(-4) 2 4)

A: answer is in next step . please give a like !!

Q: The graph shows the first and second derivatives of a function y = f(x). %3D Sketch the approximate…

A: Answer

Q: ind derivative w.r.t.x: f(x)=x3 -x. Al

A: Given,         f(x)=x3-x

Q: Prove that is a function f is harmonic =0, then - dx -Ldy =0.

A: Given function f is harmonic such that ∂2f∂x2+∂2f∂y2=0

Q: Sketch a graph of the function f(x) = – 1.5 sin(2æ). |

A:

Q: Sketch the graphs of the function f(x) = cos x. y y 2 2 f X 3X -27 2 -2- -2- y y 2- f X -27 - 2 2 -1…

A: We know, cosx = 0, if x =(2n+1)π2; n∈ℤcosx = (-1)n, if x =nπ;  n∈ℤ

Q: Find the domain of the function using interval notation. f(x) = -2x (1- 1) (r – 7) To enter oo, type…

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Q: Redefine the function f to make it continuous at x = 0. -8x + 36 + x (х — 4) ; x + 0,4 f(x) = 4; x =…

A: Consider the condition for continuity.

Q: Sketch a graph of the function f(x) 2 cos(Tz) +3 -

A: Given Function :

Q: the derivative of the funchon g(x) = Vx - 3ex %3D

A:

Q: Let P=(x,y) be a point on the graph of y=square root of x a) Express the distanced d from P to the…

A: Please refer to the image below.

Q: Please show step-by-step solution

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Q: What are even and odd functions of symmetry? For example f(-x)=-f(x), f(-x)=f(x), Symmetric about…

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Q: Sketch a possible graph of y = f(x), using the given information about the derivatives y′ = f ′(x)…

A: From the given problem, we need to draw graph as per given properties of graph.We must need to…

Q: Sketch the graph of f(x) = x(l - x) over [0, 1]. Refer to thegraph and, without making any…

A: Given: It can be written as, The following graph is drawn for the given function,

Q: Consider the function defined by f (x) = -x + ae" where a E R: (1) find a such that the graph of the…

A: To Determine: Consider the function defined by f(x)=-x+aex-1 where a∈ℝ find a such that the graph of…

Q: Express the function in the form f◦g. f(x)=sec(x2)tan(x2).

A:

Q: Determine the open intervals on which the graph of the function is concave upward or concave…

A: given that  y=2x-tanx

Q: Draw a function F(x), defined for all real numbers x, that satisfies the following properties.…

A: The first derivative is everywhere positive and the second derivative is everywhere negative