Your friend attempted to graph the equation f(x)=-2cos(1/3(x-60))+3. Based on their graph of the parent function (solid), and the transformed function (dashed) below, describe which transformations have been applied correctly, and which have not. Justify your answer.

Q: - g(4)= <F 1 • g(x)= x² +. 5

A:

Q: 8) Sketch the function with the zeros (x + 3) (x=1) (x= 2)and: the y-intercept of -6. After doing…

A: To sketch the graph of the given function.

Q: the number of bacteria in a culture was initially 8,000 and the number grew to 12,000 in 6 hours.…

A:

Q: What must be done to a function’s equation so that its graph is stretched vertically?

A: The graph of a function is stretched vertically.

Q: Starting from the point (1, 2), at which direction does the above function f decrease fastest?

A:

Q: The derivative of f(x) =3 4 is %3D

A: Consider the given function, fx=4x5 The property of derivative is defined as, ddxxn=nxn-1 Convert…

Q: Find the second derivative of the function.

A: From the given data:

Q: y= In 3x +1 %3D 2x-5

A:

Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

A: By the fundamental theorem of calculus if we have F(x)=∫f(x)dx then F'(x)=f(x). In some cases an…

Q: -Find the range of the function y = 2 - sin3x

A: Introduction :

Q: 8) Sketch the function with the zeros (X+ 3) (x+ 1) (x -2) and the y-intercept of -6. After doing…

A: Given: Given that the function (x+3) (x+1)2 (x-2) To Find: To sketch the given function

Q: Find the derivative of f(x) = e* (3x' - 4) %3D

A:

Q: Suppose the function y = f(x) is increasing on the interval (−1, 5).• Over what interval is the…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: find the net change in g between x=0 and x=7

A: Here we have to find the net change.

Q: Sketch the graph of the function y=ln(x+1)−1.

A:

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

A:

Q: 52х — %3D 12 4(5*)

A:

Q: Find the derivative of the function. g (x) = 6x-3 + 2x Og (x) = 18x + 10x-6 %3D Og (x) = -18x-3…

A:

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: Consider the following function, where R is the revenue (in thousands of dollars) and x is the…

A:

Q: Determine the point(s) at which the graph of -8x f(x) 2x - 1 has a horizontal tangent. (x, y) = Need…

A:

Q: The population of wolves in a wildlife reserve can be modelled by the function f (x) = 1000+600x…

A: The given population of wolves is given as fx=1000+600x10+0.6x The domain of the function is defined…

Q: The best suitable method to approximate a zero of the function f(x) = e* – 1 is:

A: Given f(x) = ex - 1

Q: Use the chain rule to find the derivative of 16 f(x) = 3(8r" - 5z ) * You do not need to expand out…

A:

Q: The best suitable method to approximate a zero of the function f(x) = e* – 1 is: |

A: Given,                 f(x)=ex-1

Q: The line tangent to the graph of g(x) = x³ – 4x +1 at the point (2, 1) is given by the formula L(x)…

A: To select: The correct options. Given: The function is g(x)=x3-4x+1 and the line tangent to the…

Q: 2. Use the first and second derivatives to obtain sketches of the function below. 4x+2 f(x) = %3D…

A:

Q: Use the chain rule to find the derivative of 15 f(x) = 4( – 2a + 10x')" You do not need to expand…

A: We can find the derivative using chain rule as below

Q: Graph the function h(x) =2 ln(x+3) as a transformation of f(x) =lnx

A: Given the function: hx=2lnx+3 baseline function : fx=lnx

Q: Find the equation of horizontal asymptote of y=3(0.2^x)+15pi

A:

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: The location of the point of inflection in the graph of the function y = x ln x is

A: Given: y = x ln x

Q: The graphs of a function f and its derivative f' are shown. Which is bigger f (-1) of f'(1)? See…

A: Given : The graph of f (x) and f ' (x) .   To determine :   Which is bigger : f (-1) and f ' (1) .

Q: sketch the shifted exponential curves y = 2x - 1 and y = 2-x - 1

A: The given exponential curves are:

Q: Match the horizontal asymptote with its corresponding function. 5x+2 f(x) = 3x2 + 1 a. f(x)= 2x2+1…

A:

Q: For the function f(x)=3cotx determine its stretching factor and phase shift, and then graph it for…

A: Given function, fx=3cotx The general form of cotangent function is y=AcotBx-C+D The stretching…

Q: The equationx - y2 = 0 implicitly defines whattwo functions?

A: x-y2=0 Now solve for y  y2=xy=±x  , x&gt;0

Q: Differentiate the function. y= (5x- 5) (5 -x*)5 - 15625(x – 1)ª (5 – x*)*(5+4x³ – 5x*) dx

A:

Q: Why does Newton's method fail at all of these points in the graph except for x=5, especially when…

A: Since the graph cut at two point. at x=2, x=6 and graph never touch the  negative x-axis. and…

Q: The graph of y=sec(x) and y=csc(x) are transformations of each other. 1) Explain what transfermation…

A:

Q: he parent function f(x) = x is compressed vertically by a factor of ranslated 5 units right and 2…

A: Transformed function:      The graph of a function is transformed when its parent function is…

Q: Find the first and second derivatives of the following functions and use them to sketch a graph. f…

A: Please refer to the image below

Q: 7.) 2Ct f(xJ= x /メ+4 メ+5

A:

Q: A researcher believes that if x thousand individuals among a susceptible population are inoculated…

A: Given: I(x)=aRx-b R=0.9

Q: What is the parent function for h = 1.34√l? ________________________ How has it been transformed…

A: Given: The function hl=1.34l, To find: The parent function and its type of transformation.

Q: What is the equation for the transformed function? While using f(x)

A:

Q: Does the graph of y = sqrt(x) - ln x, x&gt; 0, have an inflection point? Try to answer the question…

A: To determine if the function has an inflection point.Part (a) By GraphingPart (b) By Calculus

Q: Differentiate the function ln(x2+y2)+2arctan y/x=0 implicitly.

A:

Q: Apply your understanding of derivatives to determine any intervals of increase for the function…

A:

Q: The line tangent to the graph of f at x=3 is y=4x-2 and the line tangent to the graph of g at x=3 is…

A: Given that: The line tangent to the graph of f at x=3 is y=4x-2 and the line tangent to the graph of…

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.