2 4. Find the length of arc of the curve x3 + y3 = 1 in the first quadrant from the point where x = = ²/t to the point where x = 1.

Q: Prove that sech-¹(x) = In (¹+√¹-x²) X

A:

Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence…

A: Here we have to check the convergence of given sequence

Q: F(x)=2x-x/x-2x+1 ysis to sketch the following inction.

A:

Q: R: y = 2x +1,x+y=7,x = 8

A:

Q: = 3-5x + 2x². Calculate the following values: Let f(x) f(a) = f(a+h) = f(a+h)-f(a) h = for h 0

A: This question can be solved using the concept of function.

Q: ) Find (dy/dx) for: tan-¹(x² + y) - eln(x³y) =

A:

Q: Please find the gradient of f(x, y) = ln(x² + xy²) at (2, 1)

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Q: Q2) Use the chain rule to express dy /dx in terms of x and y y = sint and t = cos x where t = 0

A:

Q: Use the midpoint sum formula to calculate the area under the curve f(x) = x³ from x=0 to x-12 using…

A: Given: f(x)=x3 from x=0 to x=12 using 4 rectangles with width h=3

Q: Evaluate the following integral by using Odd and Even Powers Method: y = cos(x) dx =

A: If power of cos(x) is odd then put sin(x) = t and reduce the integrand in terms of 't' and then…

Q: find the area of the region bounded by the curves 4x - y2 = 0 and y = 2x - 4

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Q: Use the graph of the function f shown to the right to find f(-1), f(0), and f(1). f(-1) =

A:

Q: Given f(x) = = Domain: 1 x + 2 and g(x) = 6 X - 4' find the domain of f(g(x))

A: We have to find the domain

Q: A population of bees are dying at the rate proportional to the size of the initial hive, H(t), where…

A:

Q: Use the graph to identify absolute maximum and absolute minimum values for the function on the…

A:

Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. (-1)k+1k!…

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Q: Find the derivative of the function. 11 y=x¹¹ ex y'=0 V

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Q: Consider the following polynomial function. f(x)=x (x-1)(x + 1)² Answer the questions regarding the…

A:

Q: The doubling period of a bacterial population is 10 minutes. At time t = 80 minutes, the bacterial…

A: Given: The doubling period of a bacterial population is 10 minutes. At time t =80 minutes, the…

Q: %VIII. १:०. By using the unlimited coefficients method, choose the correct answer for this equation…

A:

Q: 04) Find dy /dx for the following functions: a) y².cotx= [sin(x.y)]-¹ b) y = (lnx + x)tan

A: See the answer below

Q: The graph of a function f is shown. Use the graph to find f¹(-1). BE"F Cloudy OLO D O 99. OU Time…

A: To find out f-1(-1).

Q: In the process of calculating the inverse LaPlace of the function: F(s) = -29- arctan (²³3) you…

A: Given

Q: Write the first five terms of the sequence, give the exact answer: +∞ {n+19)-1 Determine whether the…

A:

Q: 5

A:

Q: The polar equation r(0) = 4 +5 sin(0) is graphed below. 15+ 14 13 12 11 10 8+ 7 6 + 5 O 4+ 3 2 + +…

A: Above question is solved.

Q: Use the Table of Integrals to evaluate the integral. Show ALL work. S 11x³√4x²x¹ dx

A: Follow the procedure given below.

Q: Find the limit if it exists. lim (2x+3) X--2

A:

Q: -32 1 ย X

A:

Q: For the three-part question that follows, provide your answer to each question in the given…

A: We will compare given equation with y=aCosbx-c+d

Q: A projectile is launched straight up in the air. Its height (in feet) t seconds after launch is…

A: topic- average value of function over interval

Q: A projectile is launched straight up in the air. Its height (in feet) t seconds after launch is…

A:

Q: 71 6 5 4 3 2 71 -7 -6 -5 -4 3 -2 -1 1 2 3 4 5 6 7 -1 -2 -4 -5 -6 1-71 q Find the slope of the line.…

A:

Q: Find the average value over the given interval. f(x)=x²+x-7; [0,14] The average value of f(x) = x² +…

A: We have to determine the average value

Q: Given the function k(x) - Calculate the following values: k( – 9) = k(2) = k(4) = k( − 8) = k( − 1)…

A: Here we have to find the values of a function.

Q: Y=t-2√√x + X Find domin and ringe

A: In this question, we want to know the domain and range of the given function.

Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

A:

Q: How much would you need to deposit in an account now in order to have $3000 in the account in 5…

A:

Q: 4. Find an equation for the plane through (1, 3, 4), with normal vector .

A: topic- equation of plane with point and normal vector

Q: Q6. Find the volume of parallelopiped formed by the vectors , and .

A: Given :a=<2,-4, 5>b=<-1, 0,-3>c=<3,-5,-3>

Q: Q7) Calculate AC. BC and (A + B)C. Also, verify that (A + B)C=AC + BC 6 71 [0 1 1] B= 1 0 2 If A =…

A: Follow the procedure given below.

Q: Use the following equation to answer the questions: y = 4 cos (1/₂) 4 Find the period Find the…

A: Explanation of the answer is as follows

Q: R: y² = 4x, x² = 4y axis of revolution: x = 4

A:

Q: When i put it into my online math assiment it says its wrong

A: As we know that  Amount after t years on investing a principal value P at a rate of interest of R…

Q: Suppose that the marginal revenue from the sale of x units of a product is MR = R'(x) = 3e0.01x.…

A:

Q: 1. For the vectors v = and u = a. Find v-u b. Find ||v|| and ||u|| c. Find the angle between v and…

A: On solving this we will get

Q: Graph the rational function. -5x-15 f(x)=- x²+2x-15

A: Graph the rational function :      f(x)=-5x-15x2+2x-15 Start by drawing vertical and horizontal…

Q: By using Euler method, Solve these questions 3.3 2 2 XD² + 2XD + XD=Y=6

A:

Q: Q2. Find the angle between the vectors and .

A:

Q: Choose the end behavior of the graph of each polynomial function. 4 (a) f(x) = -5x² + 4x + 2x² - 9 3…

A: (a)rise to the left and falls to the right