Using Rationalizing Substitution [√x + 1 dx = y² + 4y + 4in(y-1) + C. express the final answer in terms of x- √x-1 2 +2√x+2ln(√x-1)+C Ox+2√x +In(√x-1)² + C Ox²+4√x+4in(√x-1) + C √(√x + 4)+In(√x - 1)² +C

Q: The equation N (t) 600 models the number of people in a town who have heard a rumor 1+49e-0.7t after…

A:

Q: 8- The simple expression of the А. 7 b5c8 за B. 7 b5c8 3a5 O A о О в О с O D 21 abc 3ab²c С. IS 7…

A:

Q: In each item, set up an iterated double integral that gives the volume of the solid described. (a) a…

A:

Q: 5- A virus is spreading according to the function p(t) = 125(2)¹/4, where p(t) is the number of…

A: This question is related to Functions and rate of change, we will solve it using given information.

Q: How can the shares be divided among 30 people when the total amount is 6 million and how much is the…

A: Solution: Total Amount = 6 million Total people = 30

Q: Express the integrand as a sum of partial fractions and evaluate the integral. 7x² + 4x +7 S™x -dx…

A:

Q: 6. dy dx 4x + 3y 2x+y

A:

Q: the following simultaneous complete differential equations: dz/dx + z = 2ex   (1) dy/dx - z = 0…

A:

Q: Determine which graph is the derivative of the other and explain why O A. The function g is the…

A:

Q: dx Using Rationalizing Substitution - =ff(v)dy, find [flv)dy X√x-1 O In(y) + C O Arctan(y) + C…

A: The given integral,      ∫dxxx-1

Q: 13) 2 X 121 + (y − 1)² = 1

A:

Q: -28 5. How is can be express as rational number with numerated the number 47 84 O 4/7 O-4/12 - 4/7…

A: Given query is to re write the expression as numerator with 4.

Q: 1 If A O True O false 1 2 32 is a matrix then A¹ = [13].

A:

Q: For the given cost function C(x) = 32400+600x + x², First, find the average cost function. Use it to…

A:

Q: A farmer finds that if she plants 65 trees per acre, each tree will yield 25 bushels of fruit. She…

A:

Q: (x − 6)²(y+3)² + 36 25 = 1

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: MY NOTES ASK YOUR TEACHER At 2:00 PM a car's speedometer reads 30 mi/h. At 2:15 PM it reads 50 mi/h.…

A:

Q: Given than [(x) f(x) dx = 7 and f (x) da = -5, which of the following is NOT TRUE 6 ® [f(x) dx =…

A: Given that ∫-23fx dx=7 and ∫36fx dx=-5, then to determine which of the following is not True.A…

Q: Find a. (2x), a. .(2x) y and b. (2л, -2,-2) 11 Əw at the point (x,y,z) = (2, -2₁ - 2π) if w = x² +…

A:

Q: 7 Suppose that f(x)dx = 8. Find the value of the following definite integrals. Complete parts (a)…

A:

Q: 3. The small circle is tangent internally at (-2, 0) to a big circle. See the figure below Find the…

A:

Q: Problem. Given the evenly spaced data points, compute f'(0.4) as accurately as you can by applying…

A: answer is in next step

Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = x +…

A:

Q: Exercises :- Calculate the following limit statements 2 1)lim (tanx) cos x²-sin²2x 2) lim x-0 x2 3)…

A:

Q: Evaluate the following indefinite integral. dx 9x

A: solution:-∫19x6 dxusing integration formula:-∫xn dx=xn+1n+1+C

Q: If w = 2x² - 2y + 3z + sint and x-y=t, find the partial derivatives below. Əw 0. (2001) 2.₁ C. b. əz…

A: We have to differentiate

Q: d) y = x453x-1

A: Given query is to find the derivative.

Q: Find the absolute extrema of the function, if they exist, over the indicated interval. Also indicate…

A:

Q: The demand for a certain type of cosmetic is given by p= 160-x, where p is the price in dollars when…

A: (a) Given that, the price demand function is p=160-x. Obtain the revenue function.…

Q: If f f(x) dx = 2, and f f(x) dx = -5, then, So f(x) dx =

A:

Q: evaluate the integral using methods of trig integrals S cos³ x dx

A: Solution is here

Q: 1. The value of (1.000) 27 is O 327 O 0.327 O 1.000 O Non of them

A: Any finite power of 1 gives you 1.

Q: T/F: The function y(t) = Pert-rt is a soln to s differential equation dy/dt = ry where P and r are…

A:

Q: Evaluate the given integral as indicated: Use Integration by Trigonometric Substitution x³ dx 5 (4x²…

A:

Q: 4. Sketch the graph of one function f(x) that has all of the following properties: a.) The domain of…

A:

Q: When an object is dropped, the distance it falls in t seconds, assuming that air resistance is…

A: Given

Q: Find a) any critical values and b) any relative extrema. 3 t(x)=x + 15x-1 a) Select the correct…

A:

Q: Find the lengths of the curves in Exercises 1-2. If you have a grapher, you may want to graph these…

A: Concept:  For y = f(x) in the Cartesian coordinates defined on interval a,b  The curve length is…

Q: 9- [+7 (G) Y*%)]" = A. √13 B. -√13 О А О в О с D с. √2 D V3

A:

Q: Differentiate f(x) = ln(tan 5x). Use exact values. f'(x) =

A:

Q: dy dx 4x + y 2x+y

A:

Q: Set-up the integral using horizontal element for the volume of the solid obtained by rotating the…

A: fristly given curve are simplyfy and diagram curve then use for shell method

Q: 4 e) y = (2x + 5)

A:

Q: An employee's monthly productivity M, in number of units produced, is found to be a function of the…

A:

Q: Find any relative extrema of the function. List each extremum along with the x-value at which it…

A:

Q: mula for calculating the magnitude of an earthquake is M = -210g (E) that uses the common 10)…

A:

Q: .729 Using Rationalizing Substitution 6 6y² +6y+6+ y-1 5 5y +5+ y-1 6y+6+ 6 y-1 1 y²(y-1) dx 64…

A:

Q: IF y = u+ + 3u2 & u = 2x Find dy dx

A: Given  y = u4+3u2 and  u = 2x We have to find dydx.

Q: 8- The simple expression of the 7 bs ca 3 a³ 7 bs c A. B. 3 as 21 a³ b³ c 3a³b²c² C. is 7 b5 c 3 a5…

A:

Q: 2) If the function of is odd function (i.e. f(-x) = - f (x)) then, the Fourier transform of f(x) is…

A: Please see the below picture for detailed solution.