Please help me.  I am really confused about the instantaneous rate of change.  Thank you!

Q: 6. The demand and supply equations for a product is given by p 65-2.1x p= 43+1.9x respectively, wher...

A:

Q: Find the following values in dollars per thousand watches. (Round your answers to two decimal places...

A: Given Data: Demand Function: dx=550.01x2+1      0≤x≤20   (a) The first derivative of the demand func...

Q: Use a change of variables or Table toevaluate the following indefinite integrals. Check your work by...

A:

Q: Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the tempera...

A:

Q: Let f(x) = 2x° + 9x² – 60x – 9. a. Find all points on the graph of f(x) at which the tangent line is...

A:

Q: U-Substitution!

A:

Q: question attached

A:

Q: Mr Boo has 5 1/3lbs of gummy bears. He will put an equal amount of gummy bears into 4 bags .how much...

A: Change mixed fraction into simple fraction first:

Q: Consider the following. f(x) = 9x2 + 3x – 12; x = -6 (a) Find the derivative, by using the definitio...

A: The given function is f(x)=9x2+3x-12. (a) Find the derivative of f(x)=9x2+3x-12 using the definition...

Q: Estimate the error made in calcutating the area of the triangle ABC in which the sides a and b are m...

A: Given: sides a= 25 cm and b= 16 cm  Angle C =60°=60°π180°=π3 Error in angle C is ∂c=12°×π180°=π360  

Q: Fill in the blank/s: When solving 4x - 3y = 15 and 3x - 2y = 10 by the addition method, we can elimi...

A: Given equations are 4x - 3y = 15 and 3x - 2y = 10. By addition method, multiply first equation by 2 ...

Q: Perform the following division of polynomials by long division. (12x^3 - 7x^2 -38x +42) / (4x - 5)

A:

Q: If $20,000 is invested in a savings account offering 3.5% per year, compounded continuously, how fas...

A: According to the question, we have to find the total amount after 3 years , If $20,000 is invested i...

Q: Exercise1 :1) Sketch the curve defined by the parametric equations:x = 2t2 + t         ;      y = t ...

A:

Q: Write out the form of the partial fraction decomposition ofthe function (as in Example 6). Do not de...

A:

Q: Integration by parts Evaluate the following integrals using integration by parts. ∫e3x cos 2x dx

A: Given: I=∫e3xcos2xdx for evaluating this integral we will use integral by parts and assume cos2x as ...

Q: Differentiate y = ln ( x 3 + 1 )

A:

Q: Tuesday, Septemher 22, 2020 It is said that the numbers 5.0 24 and are natural numbers. 3 Explain wh...

A: The decimal number 5.0 has a zero in its first decimal place. Thus, its decimal part is 0.0 Thus we ...

Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of...

A: Given ∫3x3+18x2+31x-44(x2+6x+10)2dx Apply Ostrogradsky method to solve the above integral Ostrograds...

Q: Find a unit vector (a) in the direction of v and (b) in the direction opposite of  v = ⟨2, −1, 2⟩

A: a) Given that v=2, -1, 2 So unit vector in the direction of v is  vv=2, -1, 2(2)2+(-1)2+(2)2=2, -1, ...

Q: Which are the three Boolean operations?

A:

Q: Find and simplify the derivative of the following function. f(x) = x+3 %3D Which of the following sh...

A: The given function is fx=xx+3. Obtain the derivative by quotient rule as follows. f'x=ddxxx+3=x+3ddx...

Q: Integrate the function. dx ,x> 6 2- 36 +C O 36x In|x+ 2 - 36 | + C 216 +C x² – 36 In + C

A:

Q: The total cost of producing x calculators is given by C(x) =4000+10X+0.05x2. The revenue from sellin...

A:

Q: Expand and simplify. (c) (x+2)3

A: According to the question,we have to expand and simplify x+23. As the above expression is algebraic ...

Q: Evaluate the improper integral or state that it is divergent. 13x dx (x² - 1) O 26 O 13 O Divergent

A:

Q: 1. Let R be the region between y = e- and the x-axis between x = 0 and x = = 1. Find the volume of t...

A:

Q: x2 + 9x + 20 x + 1 lim X-1

A:

Q: 8) Find the average rate of change of f (x) = 6x² – 7 over the interval [-3,1].

A:

Q: The demand for your handmade skateboards, in weekly sales, is q=-2p+435 if the selling price is $p. ...

A: Consider the functions: Demand function: q =-2p+ 435 Supply function: q=4p+155 Demand and supply are...

Q: Trigonometric substitutions

A:

Q: Find the standard form of the equation of the hyperbola satisfying the given conditions, Foci: (0, -...

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

Q: Prove, without graphing, that the graph of y= x^2 − 3 + 1/x. ? has at least two x-intercepts in the ...

A:

Q: Graph the function by hand, not by plotting points, butby starting with the graph of one of the stan...

A: given: the function y=x-2

Q: S(x) =x-5x+1, -2 <x<3

A:

Q: Verify that the given function is a particular solution to the specified nonhomogeneous equation. Fi...

A: Given differential equation, y''+y'=x

Q: Yolanda is shopping for a used car in a city where tax is 9% and title license fee is 280.  There is...

A:

Q: state where in the ty-plane the hypotheses of Theorem are satisfied 7. y′=(t2+y2)3/2

A: Given y'=t2+y232

Q: The general term of a sequence is given an = n + 5. Determine whether the sequence is arithmetic, ge...

A: Given: an=n+5. for finding given sequence is arithmetic or geometric we find first three terms then ...

Q: Use the four-step procedure for solving variation problems to solve: The heat loss of a glass window...

A: Concept: The temperature of two systems is the same when the systems are in thermal equilibrium, phy...

Q: Find the domain and range of the function. f(x) = 4x2

A: Domain: Domain of a function is all possible x- values for which the function is defined  Range: Ran...

Q: The figure (attached herewith) shows the cost of mailing a first-class letter, f(x), as a function o...

A: given: the graph of the function f(x). let y=f(x) where, x is the weight in ounces of the first clas...

Q: 1) Determine whether the equation defines y as a function of x. x = y3

A: Givenx=y3

Q: Find the volume of the solid generated by revolving the region bounded by y = 4 − x^2 , y = 3x , and...

A: Plot the curves and find the region enclosed by the curves. The shaded region is the region enclosed...

Q: You invest $2,488 into a saving account that compounds interest monthly at a rate of 3.0%. How much ...

A:

Exponential Growth Model

The relation that represents an exponential function is: