YOUR TURN 5 Find x'e dx. Sx²e*

Q: Problem 6 Evaluate the indefinite integral.  ∫sec^6(x)tan^12(x)dx=_________________ +C

A: Let us assume that   

Q: Evaluate the following limit. Use l'Hôpital's Rule when it is convenient and applicable. x³ - 3x2 -9...

A:

Q: YOUR TURN 6 Find xV3 + x dx form Sub In be 1. 2.

A:

Q: Give a graph of the rational function and label the coordinates of the stationary points and inflect...

A: Stationary points r the points where the derivative of the function becomes 0.

Q: Find the first six terms of the recursive sequence.  a1=1, a2=2, an+2=an+1+2an

A:  

Q: Please

A: Consider the given function f(x) = x tan x

Q: Question in image.

A:

Q: P(x)%3D2X³ - 3x² - 2x+3 P(x)%3x³ -7x² +17x-15 P(x)= x* - 2x – 2x² – 2x- 3 2х

A:

Q: 7.  for the following functions,   iii). f(x) = x3 + 5x2 + 3x - 4   a). find the value(s) of x where...

A: (a) and (b). Find the critical points for f(x).Find f '(x) and equate to 0.

Q: Problem 7 Evalaute the indefinite integral.  ∫tan^5(x)sec^5(x)dx=___________________ +C

A: Consider the given integral.  

Q: 4/16/2020 11. Find the critical points, domain endpoints, and local extreme values for the function....

A:

Q: Problem 17  Evaluate the definite integral.  ∫(1/sqrt(289+x^2))dx=__________________ (upper limit=14...

A: Consider the given integral.  

Q: 4. Find the general solu tion of the differential equation (2² – 1) dy + 2y = (r+1)2.

A: This is a linear equation and we have to write it in the form of d(y)/dx +Py =Q

Q: Find sin(a) and cos(B), tan(a) and cot(B), and sec(a) and csc(ß). 16 28

A:

Q: Hi, can you please show me the work and final answer to this problem?Thank you!

A:

Q: find the solution of the given initial value problem. 11.y′′+y′−2y=2t,y(0)=0,y′(0)=1

A:

Q: a 25 ft ladder is leaning against a house when its base starts to slide away.  By the time the base ...

A: Given length of the ladder  x=7 and  and base is moving at the rate of 72 ft/sec i.e.     

Q: Let f(x) = 2x + 3x²/3 a) Find the intervals of increase and decrease. b) Find the relative maximum a...

A: Find f'(x) using the power rule.    

Q: Write the equation of the ellipse 16x^2+36y^2-128x+144y-176=0 in standard form.

A:

Q: A small island is 5 miles from the nearest point P on the straight shoreline of a large lake. If a w...

A:

Q: The rate of a continuous money flow starts at ​$600 and increases exponentially at 4% per year for 1...

A: Given, Initial amount P0 = $600 R = 4% = 0.04 T = 15 years

Q: Hi, can you please show me the work and final answer to this problem?Thank you!

A: Absolute minimum/maximum is the value of function at t= -1, 5 and all the local values lies between ...

Q: Find the area of a region bounded between a linear function and another function Question Calculate ...

A: We have to subtract the lower function from the upper function and then integrate from 4 to 7 to fin...

Q: 12 > Hint: The denominator factors, so partial Evaluate n=0 fraction decomposition might help. n² + ...

A: We factor the denominator then we express the sum as a difference of two sums.  

Q: 2. In order to package one of their products, Acme Box Co. needs to construct a box whose bottom sid...

A:   Lets calculate the cost in terms of l,w and h C = 2(area of top/bottom)(10) + 2(area of front/back...

Q: Just question 54.

A: Given indefinite integral is 

Q: Find the area of the shaded region.

A:

Q: Find the constant a such that the function is continuous on the entire real line 3x², lax - 5, f(x) ...

A:

Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. rtan(x) 5t...

A:

Q: The figure below shows the graphs of f and g, where a is a positive real number. Identify the open i...

A: From the graph, we see that f(x) is increasing everywhere (going upwards as it goes to the right) An...

Q: A forest fire is found at midnight. It covers 1100 acres then. It is spreading at a rate of f(t) = 4...

A: Since you have submitted two questions, we'll answer the first question. For the second question ple...

Q: 6. (a) Find the lengths of the sides of the triangle with the given vertices (-1,0,-2). (-1, 5, 2).(...

A:

Q: Problem 22  Evaluate the indefinte integral.  ∫dx/((16+x^2)^2)=______________________ +C

A: First we assume Then we integrate by substitution   

Q: (Population growth) A certain city had a population of 25,000 in 1960 and a population of 30,000 in ...

A:

Q: Problem 2: Prove that if w1, w2 are any two complex differentiable functions, then (wiw2) dwi д2 dw2...

A:

Q: Find the radius of convergence, R, of the series. * (2x + 3)" n2 n = 1 R = Find the interval, I, of ...

A:

Q: If $400 is invested at an interest rate of 2.5% per year, find the amount of the investment at the e...

A: We will use the following formula Here, P = $400 r = 2.5% = 0.025 t = 10

Q: could you help with 32, I'm doing random problems on my own for fun, got stuck on this one

A: Let x represent the circumference of the circle 60-x represent the perimeter of the square   Circumf...

Q: #3 Suppose the functional response of how a predator forages a prey is given by the 0.5VR equation f...

A: Given

Q: 6. A mass that weighs 8 lb stretches a spring 6 in. The system is acted on by an external force of 8...

A:

Q: Question in image.

A: From the given right triangle we find hypotenuse first  We will use Pythagorean theorem So, hypoten...

Q: use the substitution  to solve the given differential equation. 34.4t2y′′−8ty′+9y=0,t>

A:

Q: 9) A spherical snowball is melting in such a way that its volume is decreasing at a rate of 3cm / mi...

A: Let, r=radius  V=volume Given that dV/dt= 3 , we have to find dr/dt=? at r=12 cm Volume and radius o...

Q: Find the tan x/2 = (1-cosx)/sinx under the conditions where tanx=-1/3 and cosx >0. Draw a right t...

A:

Q: Hi, I am wondering how to do the work for this problem and what the final answer would be. Thank you...

A: To Determine: Find the critical numbers of the function:                                          

Q: Find all zeros. f(r) = x* – 4x3 + 11x² – 14x – 30 %3| (a) 3) Find all possible rational zeros. (b) F...

A: To find all possible zeroes, we will take all factors of p/q, where p represents the constant and q ...

Q: Find the constant a such that the function is continuous on the entire real line. (2eax - 8, f(x) = ...

A: Since you have asked multiple questions, we will solve the first question for you. If you want any s...

Q: Show that the general solution of y(4) − y = 0 can be written as y=c1cost+c2sint+c3cosht+c4sinht. ...

A:

Q: Solve this please

A:

Q: Differentiate: y=6x * log6x (Hint: simply your answer as much as possible. Use logNM=lnM/lnN, if nec...

A: Given: y=6x * log6x