dy 18. Given y = 5t ( 3 - t), t = In p and p = e*. Find and simplify %3D dx

Q: y=2\4-x²

A: Since we are given with the multiple number of question and our guideline is solve first question…

Q: Evaluate the iterated integral. NOTE: Enter the exact answer. yz dx dz dy -162 -108

A: ∫02∫-162y2∫-108zyz dx dz dy∫-108zyz dx=(xyz)-108z…

Q: Find the arc length of the parametric curve. x = 7 cos(t), y = 7 sin(t), z = 24t; 0<t< T L =

A:

Q: <press the area of the given surface as an iterated double integral, and then find the surface area.…

A:

Q: d Find [r(t) · u(t)] and [r(t) x u(t)] in two different way dt dt r(t) = cos ti + sin tj + tk, u(t)…

A:

Q: What is the period and domain of the basic tangent function y=tan(x)? @ *E, 2n, {x€R|x= (2k + 1)m…

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Q: Find the approximate area under the curve of f (x) = x< +1 from x = 0 to x = 2, using 4…

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Q: Evaluate the iterated integral. 4ze dy dx dz

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Q: For neN simplty 2-글 + 4-1 +8-금+16-습+. + +2"-그 2n

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Q: Use any method to simplify the complex fractloh. k+1 25k 3k - 1 15k

A: Use the fraction rule; abcd=a·db·c   The given expression is: k+125k3k-115k

Q: Find a such that the line x = a divides the region bounded by the graphs of the equations into two…

A:

Q: Evaluate the following integral: |sec2 (z) tan (z) dz = 因团 +C Be sure to enter powers of…

A:

Q: Evaluate JJ xy dA, where R is the region in (1, 3) (5, 3) R (2, 1) (4, 1) A) 56 В) 67 с) 38 90

A: Explanation of the answer is as follows

Q: n2-2

A: Question number 5 is solved step by step. Solving more than 1 question is against the policy of…

Q: 2 2 3 Y= (4x3 - 4a3 ) 2

A:

Q: Question 7 Find the area of the region(s) enclosed by the curve f(x) = x³, the x-axis, and the lines…

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Q: for the given path. C: x = 2 cos(8), y = sin(@), o se s 27

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Q: bounded by the graphs of the equat y

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Q: Question 3 Express the area of the given surface as an iterated double integral, and then find the…

A: Let's find.

Q: Find the unit tangent vector to the curve at the specified value of the parameter. r(t) : = 6ti –…

A: Solution is done in step 2

Q: Multiply. 4x 27x +9 12x + 4

A:

Q: The graph of y=- 50co has a horizontal shift of A units with respect to the graph of y= - 50cos(x).

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

Q: Find the volume V of the described solid S. A right circular cone with height 3h and base radius 4r…

A: Solving the problem by finding the volume of the cone.

Q: 11 Evaluate the iterated integral. JJ, J, (x² + y² + z?) dx dy dz A 5 в) з D 10 00

A:

Q: Find the approximate area under the curve of f (X) =cos ( from x =0 tox=T, Using 4 trapezoids. 3 2.6…

A:

Q: Determine the area of the region enclosed by y=x^2 and y=x^1/2 A) 1/3 B) 1/4 © 1/5 D 1/6

A: To find the area enclosed between the two given curves.

Q: 324-y' y dx dy 18

A:

Q: A torus is formed by revolving the region bounded by the circle x? + y? = 49 about the line x = 8…

A:

Q: 1. Find the equation of the tangent line to the curve x = e', y = et att = 1. 2. Find all values of…

A: tangent property

Q: Find the area of the region using a double integral. The region bounded by y = 4x°, 2x + y = 6, and…

A:

Q: 2. Determine whether the statement is True or False. If it is false, explain what makes it false, or…

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Q: Evaluate (2x – y) dx + (x + 5y) dy. C: x-axis from (0, 0) to (0, -5) and (0, -5) to (8, -5) Need…

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Q: rea under the curve y = 2x – x² from x = 1 to x = 2 with n = 4 %3D tonglon

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Q: Use Theorem 13.9 to find the directional derivative of the function at P in the direction to PQ

A:

Q: Evaluate the iterated integral. J. J, J vz dx dz dy A 45 в) 34 (© 47/3 D) 5

A: Topic = Integration

Q: The point P(8, - 10) is on the terminal side of an angle e in standard position. What is sec(e)?

A:

Q: Find the equation of the line parallel to: a. 13x + 9y + 180 = 0 b. 2х-7у-35%3D 0 x+ 10y-11 0…

A:

Q: Use a triple integral to find the volume of the solid. The solid bounded by the surface y = x' and…

A: Solution:

Q: Use spherical coordinates to find the volume of the solid. The solid enclosed by the sphere X y² +…

A: We have to find the volume of the solid.

Q: Evaluate the definite integral. i+e"j+tk)dt (e^ – 1) i – (e- - 1) j+ k O e - i+ (e" - 1) j + k 1 O…

A: A detailed solution is given below

Q: Determine the surface area of the solid obtained by rotating y=v9-x from -2sxs2 about the x -axis.

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Q: Find the limit. NOTE: Enter the answer using round brackets. t2 + 6 1 lim t→+o \ 8t2+9' 6t (?, ?)

A:

Q: Find the volume of the solid that results when the shaded region is 7 revolved about the indicated…

A: Use the washer method to find the volume of rotation of the solid.

Q: 8. 1) Use the Integral Test to determine whether the series is convergent or dive n' +1 n=1 Please…

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Q: y=x*(1-x)ª 4-4x 4+4x

A: Use the chain rule of differentiation.

Q: e

A:

Q: Find the principal unit normal vector to the curve at the specified value of the parameter. r(t) =…

A:

Q: 27х3-8а3 y3= y= 3x-2a Зх-2а

A: Y'=?

Q: Find r(t) for the given conditions. r"(t) = -4 cos(t)j – 3 sin(t)k, r'(0) = 3k, r(0) = 4j %3D %3D…

A: Given

Q: 1. Set up the following improper integrals by definition. sin(x) dx 22 — За — 4 а. xe dx с. 4 et b.…

A: