Find the volumMe generated by revolving the area bounded by the giveN Curve and avd lines y = x', x = o, y = 8 about x-axis.

Q: All edges of a cube are expanding at a rate of 6 centimeters per second. How fast is the surface…

A: We have to solve above problem.

Q: y =, x = 1, x = 4, and y = 0 is revolved about the y - axis.

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Q: 3/1- The table below includes data from a study that was applied to five people to measure weight…

A: for disperesed of data we have to find median for weight 59 65 65 67 69 here odd number of…

Q: vertical asymptote z=0 S'(z) > 0 for z -3, (z # 0) f"(z) 0 for z > 0

A: Let's find.

Q: a²z B. For each of the following functions z, find z ²z əxəy and əx²' @yəx'axây' 1. z = 2x2 – 5xy +…

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Q: VI. Determine all the relative minimum and maximum values, and saddle point/s (if any) of the…

A: Given,  h(x,y)=x3-3x+3xy2

Q: Eind. the. puse..

A: power series

Q: -2 2 dy 7e + 5. -5

A: To find out the definite integral.

Q: Find all horizontal and vertical asymptotes (if any). (If an answer does not exist, enter DNE.) 10x3…

A:

Q: Q3. (a) Find the binomial expansion of (1 – x)-1 up to and including the term in x2.

A: We have to find binomial expansion.

Q: A plane P, in R'is perpendicular to the vector i = (4, 5, 7), and contains the point (3, 3, 8). a.…

A: A plane P1 in R3 is perpendicular to the vector n→=4,  5, 7, and contains the point 3, 3,  8.a To…

Q: 1 -dx. State whether the improper integral converges or diverges. 22 +4 Evaluate 00

A: We have to check weather the given integral is converges or diverges.

Q: dx J V1-4x2

A:

Q: Find the area bounded by x = sqrt y and y = 2x. You may use horizontal or vertical strips. Also,…

A: Area

Q: 4 -2 3 1 3 2 15) - 2 1 Ans. -3, 2 ; 5, 0 1 2 2

A:

Q: 2. For the parametric equation shown below, determine the value of (dyldx) and (d²y/dx?). x = 3t? –…

A: To find dydx& d2ydx2 using the given parametric equations.

Q: The following question is about the rational function (x + 1)(x – 2) (x + 2)(x - 9) r(x) The…

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Q: dz az and ду Suppose z is a function of x and y, and tan Vy? + x2 = ze6y. Solve for

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Q: (c) Let f(x) = In(x + 8). (i) Find the domain and range of the function. (ii) Find the inverse of…

A: Let's find.

Q: the function f(x) = xe-* is concave upward on Select one: O (-00, 2) O (2, co0) O (-00, 1) O (1, 0)…

A: Given

Q: What is the farthest point on the sphere x2 + y2 + z2 = 16 from the point (2

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Q: Integrate 1 x + 1 dx x + 1 2

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Q: LEARNING TASK 1: Determine the antiderivatives of the following functions: 1. f(x) = (x+1) 100

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: EXERCISES 1.1 Answers to selected odd-numbered problems begin on page ANS-2. 1. Evaluate the…

A: Since you have posted multiple questions with multiparts. As per guidelines we"ll solve only first…

Q: 1 1 1 dx x+2, x+1

A: We can solve this as follows:

Q: sec(2) tan(2) – 1 dz 3.

A:

Q: Find two positive numbers whose product is 2 such that the sum of one number and the square of the…

A: Suppose, we take ?as a negative number having absolute value. Take a pair with the value much more…

Q: 3s + 2 4s2 + 12s + 9 3 4 + 4 stet 3 2 Option 1 Option 2 3 2 4 + tet 4 3 2 Option 3 Option 4 None of…

A:

Q: Si cos3x cos4x dx 2 TT 6

A:

Q: Use the method of Lagrange multipliers to maximize the function f(x,y,z)=4x+2y+z subject to the…

A: Let's find.

Q: 1 (b) 352+5s+1 (d) 3 (c) 5s+2

A:

Q: Give the symmetric equations of the line l perpendicular to the plane T : 5x – 2y = z+4 and passing…

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Q: 2. Determine a•5 for each of the following a) å = (7, -3,5)andb = (-5,11, -2) 3. Determine the angle…

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Q: Topic on Application of Integration - Area. Find the point/s of intersection of the graph and draw…

A: Here point of intersection of the line y=0 and y=x2-4 is put y=0 x2-4=0x2=4taking square root on…

Q: Use differentials to estimate the amount of paint needed to apply a coat of paint 0.05 cm thick to a…

A:

Q: Integrate sze" • fa". de Answer:

A: We have to find the integral

Q: Use differentials to estimate the amount of paint needed to apply a coat of paint 0.05 cm thick to a…

A:

Q: In Exercises 9 and 10, find all the trigonometric values of 0 with the given conditions. 15 9. cos 0…

A:

Q: Two similar-looking series are given. Test each one for convergence or divergence. 3" ( a) Σ 3" (6)…

A: To test for convergence and divergence for the given series.

Q: Find the volume OF the solid obtained by rotating about the y- axis the region bounded by Y= x2 and…

A:

Q: (t- 1)* 24 24 4 24 24 4 1 85 84 g5 84 82 O Option 1 O Option 2 24 24s 12s² + 4s3 + s4 12s2 + 4s3 + s…

A:

Q: Line 1: 3 1 — у - = Z – 8 2 - 4 Line 2: X=-2t y=2+2t z=6+2t 1.If the given lines intersect at a…

A:

Q: X=34-3 X=2-2y (-3,0) 12,07 y = 2X-4 -4 49-3

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Q: Exercises Solution of Equations having Constant Right Member Solve the following equations 1. (D² +…

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Q: 8x? -x t 8 x (x² + 4) 9. b.4mx4 3m (x+4-ラ4an)tc c. qlnxf 6m (x"+4)-Arctan )t c d. 2mxt 6m Ge?+4) -…

A:

Q: iSy dx dy 3.

A:

Q: Solve

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Q: 1. lim (6x + 1)cotx

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Q: Consider the solid obtained by rotating the region bounded by the given curves about the specified…

A: Since you have posted multiple questions as per guidelines we can solve only one question at a time…