find f(x+h)-f(x) / h f(x)=3 x square + 6

Q: Which of the following vector functions represents the curve of intersection of the cylinder x2 +y =...

A: Given Data: The equation of the curve is: x2+y2=4 ......1 The equation of the plane is: x+z=3 .........

Q: Solve the triangle using the Law of Sines. (Assume c= 60, LA = 44°, and cB - 15°. Round lengths to t...

A:

Q: A laser rangefinder is locked on a comet approaching Earth. The distance g(z), in kilometers, of the...

A:

Q: Find the differential of the function. y = sqrt(1+ln(z))   dy=?

A:

Q: Use numerical integration to evaluate the following: dx (b) e-" sin y dy 2 x(x + 2)

A:

Q: Find the length s of the circular arc. (Assume r= 2 and e - 120°.) 120 4x 300

A:

Q: 3. Find a set of parametric equations for the line of the intersection of the planes 3x-3y-7z -4 and...

A:

Q: Please help

A:

Q: Consider the following. f(x) = − 9/2x2 + 2x + 2; Find  f '(x). f '(x) =        Find  f '(−1)...

A:

Q: From the book: A FIRST COURSE IN DIFFERENTIAL EQUATIONS with Modeling Applications by DENNIS G. ZILL...

A: Given: y'' +x2y=0       ......... (i)

Q: Please help, thank you so much!

A: Given: y=x3-12x2+36x

Q: Find the inflection point(s), if any, of the function. (If an answer does not exist, enter DNE.) g(...

A: Concept: The calculus helps in understanding the changes between values that are related by a functi...

Q: f(x) = lim f(x + h) – f(x). h-0 f(x) = 1

A:

Q: Find all the values of x where the tangent line is horizontal.

A:

Q: Find the slope m and an equation of the tangent line to the graph of the function f at the specified...

A: To Determine: Find the slope m and an equation of the tangent line to the graph of the function f at...

Q: I'm stuck on this part of the tutorial exercise

A:

Q: For the function f whose graph is given below, state the value of each quantity, if it exists y 3 4 ...

A: To answer the question using given graph

Q: (a) State which of the four graphs above is the graph of f. How do you explain using complete senten...

A: The derivative curve is given: From the derivative curve we can see that the slope is negative x par...

Q: Compute the derivative function  f '(x)  algebraically. HINT [See Examples 2 and 3.] f(x) = 7x2 + x

A:

Q: Question: Evaluate the following. Va + 4+h – Væ +4 lim h -4Va + 4 Va + 4 +4 1 2Va +4

A:

Q: For f(x) = 3x* - 12x° + 2 find the following. (A) f'(x) (B) The slope of the graph of f at x = 1 (C)...

A:

Q: Find the equation of the tangents to the curve y = sin x at x = - T, 0, and ,. Graph the curve over ...

A: given curve y=sinx to find equation of tangents at x=-π,0,3π2 also, to draw the graph of given curve...

Q: 1 Discuss the continuity of the function g(x) : on the interval [-1,2]. x2-4

A: Consider the given function and interval, f(x)=1x2-4 and [-1,2]   Now, check the value of the functi...

Q: A hemispherical dome of radius 40 feet is to be given 7 coats of paint, each of which is 1/100 inch ...

A:

Q: Solve the following equation, giving the exact solutions which lie in [0, 2π). (Enter your answers a...

A: Given equation is tan3x=3tanx. Consider u = tan x. The given equation becomes u3=3u.

Q: The two images for the same question

A:

Q: Find the distance along an arc on the surface of the earth that subtends a central angle of 9 minute...

A: Given data: *The centre angle substended is θ=9 minutes *The  radius of the earth is r=3960 mi The e...

Q: (x+1)dx+(3x+4)dy=0.(Solve the DE)

A:

Q: Find the area of the ruface that part of the paraboloid:

A: The area of the surface which is a part of z=f(x, y) is given  by   Where D is the projection of su...

Q: can you plz tell me how you did it?

A: To Determine: use the interval notation to describe the domain of each of the following  Given: a) f...

Q: How do I solve this related rates problem? What is the solution to 3 decimal places?

A: Given the radius of circular waves are increasing at a constant rate of 0.5m/sec. The rate of change...

Q: C(x) = 3,500 + 9x (a) Find the average cost function C. C(x) =        (b) Find the marginal...

A: (a) Consider the given function Cx=3500+9x

Q: Please help me solve this math problem. Thank you!

A: Let's find the point of intersection first: Compare both the equations:

Q: Text Book: A FIRST COURSE IN DIFFERENTIAL EQUATIONS with Modeling Applications by DENNIS G. ZILL   C...

A: Answer is  4+t^4/4-e^(-8t).

Q: Identify the quadric surface with equation -a + 9y? – z = 0. O elliptic paraboloid O hyperbolic para...

A: given  -x2+9y2-z=0

Q: From the book: A FIRST COURSE INDIFFERENTIALEQUATIONSwith Modeling Applications by DENNIS G. ZILLLoy...

A:

Q: Evaluate | r(t) dt. where r(t) = i+ e"j+ 6tk. O 4 In |t+ 1i + 2ej+ 3t k O 4 In 2i+ (2e? -2)j+ 3k O 4...

A: Option c is correct.

Q: Differentiate the function. 6x2 + 2x + 4 y =

A:

Q: #50 Use Trapezoidal, Mid-point, and Simpsons Rule

A:  The given relation is  13Tn+23Mn=S2n Here, Tn is a trapezoidal approximation, Mn is the midpoint ap...

Q: Gabriel claims that each of the following pairs of functions are inverses. However, ONE of the pairs...

A: Consider the pair and check whether they are inverses or not: fx=5x+20 and f-1y=15y-20fx=5x+20y=5x+2...

Q: Calculus Question

A: (3) Let the equation of the curve be, y=10cosx1+sinx+2x2 Differentiate the function with respect to ...

Q: f(x) = (x3 + 5)ex Find f'(x)

A:

Q: Where does the following function have horizontal tangent lines? f(x) = 4 sin³ x +3/3 sin² x

A: The horizontal tangent lines are found when the slope is equal to 0  f'(x)=0 The given function is f...

Q: In Example 6 in this section, we were given f(x) = 3x2 + 2x + 11 and found f '(x) = 6x + 2. (a) F...

A:

Q: I need help better understanding of Calculus Exponential Growth and Decay and Related Rates.  For in...

A: Given Data: The equation of continuously compounded interest is: At=A0e0.08t   For the money became ...

Q: dy for y= In(In(2r')) dt

A:

Q: U-Substitution Please

A: Solution is given below in the image..

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.