2. Circular Rings/Washer Method a. y = x2,y = 4x, about the x – axis %3D -

Q: 2 | [ cos ti- sin 7t j+sin 6t k]

A: Given :

Q: show that g(x) = (1/2)x has a unique fixed on [0,1]

A:

Q: #3) Rewrite the integral 27 .2 p dr d0 0. in rectangular coordinates.

A:

Q: The volume of the solid obtained by rotating the region enclosed by y = 12, T = 2, I = 6, y = 0 |3|…

A:

Q: dy Given the equation below, find de 1722 + 8x8y + y° = 26 dy dx Now, find the equation of the…

A:

Q: Exercise 14.5.5 dy if y is defined implicitly as a function of z by the equation dz To find 2 + ry –…

A:

Q: Use the graph to find the following limits. a. lim f(x) b. lim f(x) x -1 X-1 a. Find lim f(x) or…

A: This question is related to limits, we will solve it using given information.

Q: Find and classify the critical points of the function: f(z, y) = z' + y* – 144ry + 4 Local maximums:…

A: Given that; f(x,y) = x^4 + y^4 - 144xy + 4  Let's  find minimum and maximum points;

Q: - Find the Linearization of f (x) = sinx at a 5. Provide your answer as L(x) =? %3D %3D

A:

Q: Find the following limit. Answer as a fraction or integer (no decimals.) x +4x- 12 lim x+2 4

A: Solving the problem by finding the value of the limit.

Q: A moon is in orbit around a planet. The moon's orbit has a semimajor axis of 3.5×10° m and has an…

A:

Q: Assume Za is opposite side a, 2B is opposite side b, and Zy is opposite side c. Solve triangle ABC…

A:

Q: Find the volume oF the solid obtained by rotating about the x-axis the region by y= x' and the lines…

A:

Q: ,11,,11 x"yll The expression log can be written in the form 24 A log(x) + Blog(y) + C log(z) where A…

A: logmn=log(m)-log(n) log(m.n) =log(m)+log(n) logmn =n log(m)

Q: he velocity vector? Di+O i+O k

A: Topic:- application of derivatives

Q: -2 Let -1 <r< 1, the series r na" is the power series representation of the n-1 function

A:

Q: f'(x) =-+e²* +x²and f(1)=. Find f(x) Given

A: Here, given that: f'(x)=1x+e2x+x3⇒f(x)=∫1x+e2x+x3dx+C⇒f(x)=∫1xdx+∫e2xdx+∫x3dx+C⇒f(x)=ln…

Q: Write the function below in the form y = f(u) and u = g(x). Then find as a function of x. %3D y = V…

A: Given:        y  = 3x2-4x+2

Q: Given f'(x)=-+e²2* +x² and_f (1) = +x*and f(1)=. Find f(x) 5.

A:

Q: Maximum Area An animal shelter has 176 feet of fencing to enclose two adjacent rectangular playpen…

A:

Q: olve the triangle. 95 a-6 b- 4 Select the correct choice below and, if necessary, fill in the answer…

A: Here is the solution

Q: Maximum Volume Consider the following solids, each of which has a surface area of 150 square inches.…

A: Solution is given below:

Q: 7. Let f(x) = -3x + 9x - 3. a. Determine the x values where f"(x) = 0. b. Fill in the table below to…

A: In this question we have to find first three subpart.

Q: Given the triangle 13 find the length of side x using the Law of Cosines. Round your final answer…

A: This question is related to Triangles, we will solve it using given information.

Q: Evaluate: 2) x-In x dx

A:

Q: Find the volume of the solid of revolution when the region bounded by y = x + 1, the x – axis, and…

A: Recall: Shell method,  V=2π∫abr(x)h(x)dx We have, a=0, b=2, r(x)=3-x, h(x)=x+1

Q: To find two real numbers whose sum is 46 and whose product is maximum, we should find the maximum…

A:

Q: Σ Preview i=1

A: We will use sigma notation.

Q: A particle moves with position function s = t4 - 4t3 - 8t2 + 25t, t2 0 (a) At what time does the…

A:

Q: f'(x)=-+e2* +x² and S(1) =. Find f(x) Given %3D

A:

Q: 2 v2x-x2 XY xydydx 0 0

A:

Q: (x)soɔ xp (x)us 19. Find

A: Given problem:-

Q: Find the number(s) b such that the average value of f(x) = 6x - 42x + 70 on the interval 0, 6 is…

A:

Q: Next qu Classify the statement as either true or false. If lim F(x) exists, then F could be…

A: We have to find out the continuous property

Q: Write a in the form a = a-T+anN at the given value of t without finding T and N. r(t) = ( - t+ 4)i +…

A:

Q: al squares fr ame if the pie 16

A:

Q: A Norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular…

A: Here we have to use the concept of derivatives.

Q: 2) The height (in feet) of an object that has fallen for t seconds from a height of 800 feet is…

A: Topic:- calculus

Q: 3. A girl is flying a kite on a string. The kite is 120 ft. above the ground and the wind is blowing…

A: To solve this problem we use pythagorous theorem.

Q: y =1+6.x% Osrsl for Find the exact length of the curve

A: Length of the curve

Q: Find, by slicing, the volume of a cone whose height is 5 cm and whose base radius is 1 cm. Slice the…

A: The slicing cone has height 5 cm and radius 1 cm

Q: Solving Separable Equations: 1. dy - x-5 dx y2 2. = dx 3x²(1+ y?)

A:

Q: Find the following limit. Answer in either integer or fraction form. NO DECIMAL APPROXIMATIONS. If…

A: Use l hospital rule for finding the limit.

Q: To find two real numbers whose sum is 23 and whose product is maximum, we should find the maximum…

A: sum of number is 23 let a number = x  other number is 23 - x

Q: dy without first solving for y. dx Use implicit differentiation to find y? 1 36 36 dy dx At the…

A:

Q: Use the graph of the function f shown to the right to estimate the indicated function values and…

A: topic- limits

Q: Find the limit 1-ex lim x+0 10x2 – 18x

A: Here we have to use the concept of limit.

Q: 3. dt find F'(x) and F'(3) 1-2 17. Given F(x) =

A:

Q: Problem 6 Use the rules of differentiation to to find the derivatives of the functions: (a) f(r) =…

A: topic- differentiation

Q: Find the number(s) b such that the average value of f(x) = 6x? 42x + 70 on the interval (0, 6 is…

A: The average value of f(x) in the interval a,b is given by, 1(b-a)∫abf(x)dx