Write a formula for the function g(x) obtained when the graph of fx) = Vx is shifted up 1 unit and to the left 4 units.

Q: Write the formula for the derivative of the function k(x)2x2+ 14x + 1 (Hint: Rewrite as three…

A: First we simplify k(x) and write as three separate terms.

Q: Find b, if the function f(t) = t?.

A: This is a Fourier analysis question. Lets solve it.

Q: Find the equation of the function g(x) described above.

A: We know that if the graph of function y=f(x) is stretched by a units(a>0, shifted to the right by…

Q: Find the domain and range of the function.

A: Given : The function f(x, y) = ln(xy - 6)   To find the domain and range of the function.

Q: I find (f ∘ g)(x) by replacing each occurrence of x in the equation for_____ with______.

A: Consider the function (f∙g)(x) which means the composition of f of g. It can be written as f(g(x)).…

Q: Find the domain of the function. f(x) = ln ( 1/ (x + 1)

A: f(x)=ln1x+1

Q: Consider the function y = f(x) with the graph below. %3D

A: The given graph is

Q: The finance department of Tayitu Company conducted a study of their weekly sales in the past years,…

A: NOTE: Refresh your page if you can't see any equations. . here we want to find the weekly sales at…

Q: t(x, y) x² + y?

A:

Q: The function f whose tangent has slope x3. +2 for each value of x and whose graph passes through the…

A:

Q: For what value(s) of x is f(x) = 4?

A: The first thing we must do for this case is observed the y coordinates for a given value of x…

Q: Graph the following equations and explain why they are not graphs of functions of x. a. ly| = x b.…

A: As per bartleby guidelines only one question is answered please upload the rest separately. The…

Q: Given the function, find the derivative f (x) = -()" 3z 4 3z- 3 12() 3z-4 O None of the Above

A:

Q: The graph of a function f is given below. JW y = f(x) X

A: from left graph of f(X) is increasing , f'(x) > 0  after that slope of line is steeper ,…

Q: For what values of x does the graph of f (x) =x3 – x² +3 have a horizontal tangent? O 2 O and 2 O O…

A: ⚛ Slope is the rate of change of function which is equal tot he derivative of  that function. ⚛  The…

Q: Use the formula below to find the instantaneous rate of change of the function at the given x-value.…

A:

Q: Use the graph of Jy=f(x) to answer the following.

A: The function, y=f(x) is graphed in the given figure.

Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

A:

Q: For what values of æ does the function f (x) = 12x – æ³ have a horizontal tangent line? Select all…

A: The given function is fx=12x-x3

Q: Consider the implicit relation yx +1= 7y. In the box below, solve the equation for y as a function…

A: In this question, we have to separate y in terms of x.  i.e. y=f(x)

Q: For what value(s) of x is f(x) = 3?

A: given :  f ( x ) = 3  find value(s) of x = ?

Q: find the domain and range of the function.. h(s) = 1s

A: Given function is hs=s. To find the domain and the range of the function. Solution: Domain is the…

Q: For the function f(x), defined graphically, state the value(s) of x where the function is not…

A:

Q: Find the function g(x) which is obtained by reflecting the graph of f(x) about y axis and moving 2…

A: solution

Q: Find the real and imaginary parts of the Following functions z+1 ?

A: To find real and imaginary parts of the function fz=z+1 Let  z=u+iv fz=x+iy So, the real part of fz…

Q: Use the given graph to estimate the value of each derivative. y= f(x) 1 (a) f'(0) (b) f'(1) (c)…

A: Given, The graph of function y = f(x).

Q: Find the original function f(x) from given equation f'''(x)

A: We can solve this as follows:

Q: Apply the definition to differentiate the following functions: 1- y = ₁

A:

Q: For the function f whose graph is shown, list the following quantities in increasing order, from…

A: ∫0xfxdx represents the area under the curve where the area above the x-axis is positive and the area…

Q: Find f′​(x) and find the equation of the line tangent to the graph of f at the indicated value of x.…

A:

Q: Find the fourth derivative, f(4) (æ) for the function, f(x) = x6 – 16x3 %3D 6x5 - 48a? O 120r3 12022…

A:

Q: From now on consider the function f(x, y) = e$n(x) y.

A: direction of fastest increase is along the gradient vector  Given f(x,y)=esinx y

Q: ii) h(x) = e values for the functions along the interva

A:

Q: Differentiate the function. y = In(12 + t – t31)

A: We have to find derivative

Q: O For what value of x does the function f (x) = 4x2 – x +1 have a horizontal tangent?

A:

Q: Find , where y is defined as a function of x implicitly by the equation below. dz' 2y5 - 2ry = -2…

A:

Q: Find the slope of the tangent line to the graph of the given function f (x) = 4x³ at the point (2,…

A:

Q: Find the slope of the line that is tangent to the graph of f (x) 2a-3 at P(3/2, 0) О -3/4 O 2 O (E)…

A:

Q: Find the domain of the given function.

A: To find: The domain of the function: Given: The domain of the function is fx=x4-14. Concept used:…

Q: For what value(s) of x does the graph of f(x) = 8x³ – 84x² + 288x – 48 %3D have a horizontal…

A:

Q: Find the x-coordinate on the graph of f (x) = x3 - 12 x where the tangent is horizontal. (A) 1, - 2…

A:

Q: 2. a) Find a formula for f1 for the function y = f(x) = vx – 35

A: To find f-1 for y=f(x)=√(x-35)

Q: I find (g ∘ f)(x) by replacing each occurrence of x in the equation for_______ with_________

A: The meaning  of "g" of "f" (g ∘ f)(x) means gfx That is replace each occurrence of "x" in the…

Q: Use the given graph of the function to find the x-values for which f is differentiable. not 1,0

A:

Q: Find  f' in terms of g' .

A: Given function is fx=egx.

Q: For the below figure, the f(t) will be equal to

A:

Q: Sketch the graph of each of the following functions. (a) f(x,y) = cos x (b) f(x, y) = 3x? + 3y? – 6x…

A: Sketch the graph of function

Q: Consider the function f (x) = 0+3 As the values for x continue to increase to positive infinity,…

A: Given: f(x)=xx+3

Q: Find the exact value of fo f(x) dz for the function f(x) graphed below.

A:

Q: Express the area A of a right triangle as a function of the height h if the base of the triangle is…

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: