1-2 c) dx

Q: Differentiate the following functions. Show the complete solution.  ℎ(?)=3?5−20?3+50?+2??+3sec?

A: We know the derivatives:ddx xn = nxn-1ddxex = exddxsecx = secx.tanx

Q: 2. Express each Angle Measures using degrees, minutes and seconds: 45.72° = %3D

A: Consider the angle measure : 45.72°. In the angle measure whole number denotes the degrees and the d...

Q: Let f(x) = 1+ x² + x4 + •…+ x²k (k € Z+ u {0}). For what value of k, 23 mean value of f (x) is on [-...

A:

Q: Differentiate  y=sin2(sin3x)-(sin(x3+2)/x)

A:

Q: Help solving

A:

Q: Calculate the iterated integral:

A: Consider the given integral, ∫0π2∫0π2sinx+ydydx first, integrate with respect to dy, I=∫0π2sinx+y0π2...

Q: 3 Given f(x) = find f'(x) using the limit definition of the derivative. f'(x)=

A: Given information: The function is f(x)=3x. Concept used: The derivative of the function using the l...

Q: 4. An open-top cylindrical can is to hold a volume of 167 Cubic centimeter of liquid. The cost of th...

A: Given that the volume = 16π cubic cmSo, πr2h=16πor, h=16ππr2or, h=16r2

Q: Match each function with its graph Function Graph Color f'(x) a. green f''(x) b. red с. blue f(x)

A: From given graph it is clear that  

Q: Graph of a linear function Find and graph the linear functionthat passes through the points 11, 32 a...

A: Equation of a line passes through x1, y1 and x2, y2 is, y-y1=mx-x1Where m=y2-y1x2-x1

Q: see attached

A: Given,          The unit vector in the same direction as the vector u=2,0.We know that,          The...

Q: The following table shows worldwide sales of cell phones by a certain company and their average whol...

A:

Q: Consider a function f defined from the interval [4, 7] to the interval [4, 7]. Which of the followin...

A:

Q: Find the slope of the tangent line to the given curve at the given value of x. Find the equation of ...

A: Given:         y=x ln x,     x=e By definition, the slope is given by: \displaystyle{m}=\frac{{\text...

Q: Use differentials to estimate the value.

A:

Q: а) By referring to Figure 1, find i) x-2 lim f (x) ii) x--2 lim f(x) y = f(x) y = 1 y =-4 X =-2 x = ...

A:

Q: Solve each inequality. Graph each solution. y2 - 3y + 2 < 0

A: Given:          y2-3y+2<0         y2-3y+2<0y2-2y-y+2<0yy2y-2yy-1-y-1+2-1<0yy2-1-2-1y-2&...

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. ...

A: We have to find the area of this region

Q: 6.5.9 Please help me solve these math practice questions.

A: Total height=14+18=32ftPumping distance=23-yArea of cross-section=πr2Area of cross-section=π72Area o...

Q: limx>0 (x-sin(x))/xsin(x)

A: Given,          limx→0x-sinxxsinx

Q: dy Find dx y = -9 dy %3D dx

A:

Q: Investigate the behavior of the function as x grows large by making a table of function values and p...

A:

Q: Calculate the integral for 25 and 29. Please show all steps. Thank you

A:

Q: Assume x and y are functions of t. Evaluate dy,dt for each of the following.: 8y3+x2=1;dx/dt=2,x=3,y...

A: Given:         8y3+x2=1dxdt=2x=3y=-1 Differentiate 8y3+x2=1 with respect to t,         ddt8y3+x2=ddt...

Q: What is the area of the finite region bounded by the curves y = In(x), y =0 and a = 6? Select one: O...

A: Given: Curve y = ln(x), y = 0 and x = 6

Q: eax –1 Let F(x) = Sar f(t)dt be a differentiable function for a > 0. If F(x) has a local maximum at ...

A: From.given f(x).find as below

Q: You would like to save Php 10,000 for for your debut birthday party. How much should you deposit in ...

A:

Q: If f(x) = 4x - 2x+6, find f'(1). %3D

A: Given,          fx=4x2-2x+6

Q: Simplify tan(2arccos((x^2)/6)) I'm not sure what to do with the 2. I start with cosx=(x^2)/6 and adj...

A:

Q: For the curve y=-r+3x2 -9 , find (a) The intervals of increasing and decreasing of the curve, hence ...

A:

Q: 6.5.8 Please help me solve these math practice questions.

A: Given: A conical container of radius 5 ft and height 20 ft is filled to a height of 18 ft of a liqui...

Q: Let us assume a given function is increasing, which of the following is a true statement? The value ...

A: If a given function is increasing in it's domain

Q: Using L’Hopital’s Rule

A:

Q: True of False: If lim f(x)=10 x-->c, then f(c)=10

A: We can use the concept of continuity in order to solve the given question.

Q: Reduce the matrix to echelon form and find its rank -1 -3 3 -1 1 1 -1 -5 -3 -1 1 0 1 2.

A: Consider the given matrix, -1-33-111-102-52-3-1101 use the following elementary row operations to re...

Q: Show all steps.

A:

Q: q5

A:

Q: Ris the region enclosed by the curves y = x2 - 2, y= e +1, x =1 and to the right of y- axis. Which o...

A: Given: y=x2-2, y=ex+1, x=1 and to the right of y-axis Now, For finding area of given region bounded ...

Q: 7Z 2te

A:

Q: limx>0 (xcos(x)-sin(x))/x^3

A: We have to find the limit value 

Q: Come up with a situation of your own where you would need to find the derivative ofsomething. You do...

A: Solution: By the derivative, we simply mean the rate of change with time, that is if we have given a...

Q: Attached is the screenshot of the question

A:

Q: Determine the area of the region bounded by x=--y2  +10 and x=(y -2)2

A:

Q: Evaluate the following integral

A:

Q: evaluate the integrals by substitution method

A: I =∫x2x+1 dx

Q: A=53(1.18)t Percent Growth?__ A=4.5(1.06)t Percent Growth?__ A=66(1.03)t Percent Growth?__ A=76(1.06...

A: Part a,Given,          A=531.18tWe know that,           The exponential growth function is given by ...

Q: The base of a vertical fence in R° is the curve in the ry-plane parametrized by r(t) = ti+t j, /2<t<...

A:

Q: Describe with a sketch the end behavior of f(x) = cos x.

A: Given:            f(x) = cos x  The cosine function oscillates between values -1, 1 as x→∞ Hence it ...

Q: What is the difference of two positive numbers whose sum is 20 such that the product of one number a...

A: Find the answer below:

Q: Find the area of the region that is enclosed between y=3sin(x) and y=2cos(x) from x=0 to x=0.3π

A: Given, y=3sin(x) and y=2cos(x) from x=0 to x=0.3π  

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.