Evaluate the following integrals using “Integration by Substitution”.

Q: Consider the function f(x) given by the graph below. y -5- f(x) -5 Determine the limits. If a limit ...

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Q: Find the area R -region bounded by the curve y=1/x^2 and the lines y=x and y=x/8.

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Q: If {xn} is a bounded sequence on R. Prove: lim n→+∞

A: Given  sequence xn is bounded  we want  to show that  limn→∞xnn=0

Q: 5. cot Because the terminal side of 4 lies in Quadrant IV, the reference angle e' is 2n -= The cotan...

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Q: (-1)-1 n!/3 n=1 3.

A: In this question we have to find series is converges or not.

Q: Trigonometric Values for Special Angles sin e cos 6 tan 8 csce sec0 cot 8 Degrees Radians 30 45 60 9...

A: We have to find the trigonometric function for special anlge.

Q: write the slope-intercept forms of the equations of the lines through the given points •parallel to ...

A: Given: (a) Point:(-1,0);Line:y=-3(b) Point:(2,5);Line:x=4 

Q: If f(r) = 3 sec(8x), find f'(r)

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Q: Directions: Use the reference angle and appropriate sign to find the exact value of each expression....

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the quest...

Q: In Exercises 3-10, determine whether the series converges absolutely, con- ditionally, or not at all...

A: Given: ∑n=1∞-1n1+1n

Q: lim 극 et – 1 x-1

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Q: What is the rate of change of S with respect to r and what does it tell us if the interest rate is a...

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Q: Solve (x+y)dy = (x-y)dx

A: Explained below 

Q: exercise

A: Please refer to the image below 

Q: The daily sales S (in thousands of dollars) that are attributed to an advertising campaign are given...

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Q: Find an equation of the plane containing the point P(2,1, –1) and having the normal vector N = -î+3 ...

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Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS. Write the correct u and du. 3. In (cose) tane d...

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Q: find the point (x,y) at which the graph of y=7x2+5x-6 has a horizontal tangent line.  The function ...

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Q: The number of females in law continues to show steady increases. The number of female lawyers in a c...

A: a. It is exponential function. b. F(30) =>F(30)= .834* x^1.297               =.834*30^1.297      ...

Q: Let f(x) = 9 cos(sin(z°)). %3D Then f'(x),

A: Using the chain rule of differentiation,

Q: Find parametric equations for the tangent line to the curve with the given parametric equations at t...

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Q: Find the measure of each sic 5) 43° 57 C 12 Y A 64° 7

A: Given that:                       

Q: Find the points on the curve y = 2x + 3x2 - 12x + 7 where the tangent line is horizontal. (х, у) %3D...

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Q: 11) lim -3sin (x)= X→ +∞ A) 0 B) +o C) DNE D) 1 12) Use SPECIAL LIMITS and SQUEEZING THEOREM to find...

A: We expert are following guidelines.We are supposed to do first question. Kindly repost the second qu...

Q: Use the chain rule to find the derivative of 15 f(x) = 4( – 2a + 10x')" You do not need to expand ou...

A: We can find the derivative using chain rule as below

Q: sec® tan Od® coso A) tane В sece sec?0

A: topic - indefinite integral

Q: Let 4 f(x) = (a + 4x + 4)* f'(x) = f'(5) =

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Q: Factor out the greatest common factor X(5x-6)+2(5x-6)

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Q: 2 dx (х-3)6 V-x2+6х-5

A: Given:      ∫2x-36-x2+6x-5dx     =2∫1x-36-x2+6x-5dx substitute u=x-3→dudx=1→dx=du                  x...

Q: Vx m = (b) Find equations of the tangent line at the point (1, 5). y = Find equations of the tangent...

A: Topic:- application of derivatives

Q: A rectangle is growing such that the length of a rectangle is 5t + 4 and its height is t, where t is...

A: Given:- A rectangle is growing such that the length of a rectangle is 5t + 4 and its height is t4 , ...

Q: 2 — х lim (x,y)→(2,–1) x³y³ – 2x²y³ 2.x2y3 .22,3

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Q: I1+I3=I2 I2+I1=8 2I2+3I3=0 find the matrix, rref and then solve

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Q: Find the following using the table below. 3 4 f(r) f (x) g(x) 4 4 4 3 4 (x),6 h'(2) if h(x) f(x) · g...

A: Given that : h(x) = f(x).g(x) and h(x) = f(x)/g(x) and h(x) = f(g(x)) To find : h'(2)

Q: Let F(x) = f(x') and G(r) = (f(x))". You also know that a 8, f(a) = 2, f'(a) = 13, f'(a') 10 Then F ...

A: Follow the procedure given below.

Q: 4- 2- -6 -5 -4 -3 -2 -2 -3 Find the following limits. f(x) lim I1- g(x) O-00 O 0 O Does Not Exist

A: topic - limits

Q: For the function 0 < x < 4 = 4 2x – 4, -2, f(x) = x2 – 8x + 20, 4< x use algebra to find each of the...

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Q: f (x) = X+1 X-1 g(x) %3|

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Q: The cube root of 27 is 3. How much larger is the cube root of 27.8? Estimate using the Linear Approx...

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Q: (b) Use the following formulas to set up two integrals for the arc length from (0, 0) to (1, 1). Obs...

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Q: Let f(x) 2 csc(6x) f'(x) =

A: Solved below

Q: Answer the following True or False: d. (Бл? + 2т + 8) d. sin a Since 10x +2 and cos T, the chain rul...

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Q: 2- y = prove that (sin x) = cos x %3D dx

A: Topic:- derivatives

Q: 2. Solve each of the following using graphing calculator for 0Sx< 2n. Round to two decimal places. F...

A: Topic:- trigonometry

Q: The integral that represents the length of the curve 7(t) = (2/t, cos (2t3/2), sin (2t3/2)), where O...

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Q: Which of the following is/are signified by lim f(x) = 0? | The value of x goes out to infinity, when...

A: To find what it signifies

Q: sketch a possible graph of a function f that satisfies the following conditions: i) f'(x) > 0 for x ...

A: topic - functions

Q: The function gives the cost to manufacture x items. C(x) = 30,000 + 10x + 50,000 -; x = 100 Find the...

A: Given problem:-

Q: eros voR-SI ioNO WDW WCLN PCMath 12 - Rev. 2019 3. Find the general solutions rounded to two decimal...

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Q: 4 dx the integrand is x2 In x2 A) True B) False

A: We can find the answer as below.