y = 1/2 (e² + e^¹), − 1 ≤ x ≤1

Q: Use the method of cylindrical shells to find the volume V generated by rotating the region bounded…

A: Explained below

Q: Given the function: f(x) = { // x³-1 x-1 if x #1 k if x = 1 What should be the value of k so that f…

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Q: Q5A) Find volume of body from above Z = Triple integration. 4-x2 - y2 and below Z = 1 using

A: To find the volume of body bounded by given curves.

Q: T The position vector r(t) = 4ti + 2tj+ t´k describes the path of an object moving in space. Find…

A:

Q: Give the domain and range of the graph shown to the right. Then, use the graph to answer parts (a)…

A: Domain :  domain is the  all value of x where the function is defined.

Q: Asymptotic to x= 0, x=5 and y=0

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Q: Evaluate the integral. 2 Ỉ -1 7t sec ¯¹t dt 2/√√3 2 7t sec¹t dt =

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Q: [(3+y) -x³ (3+y)³] dx + x dy = 0

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Q: Use the limit comparison test to determine if the following series converges or diverges.…

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Q: Differentiate implicitly to find the first partial derivatives of z. 2x2 + 11y2 + 3z2 = 36

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Q: The area enclosed by the two curves y = x² - 4 and y = x - 4 is given by. a. f(x-x²) dx b. (x²-x) dx…

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Q: Q4A) Find area bounded by y = 0, y = √x - x² using double integration.

A: Draw the graph:-    y=0 ( x-axis)  and y=√(x-x2)

Q: Q4A)Find area bounded by y = 0, y =√x-x² using double integration.

A: In this question, we want to find the area bounded by the given curves.

Q: t=sin³x B) [2 sintdt cos(sin 2x)sin 2x dx- A) sintdt D) [ 2 cos tdt →? c) fcos tdt E) fcos 2tdt 4.…

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Q: 1 1² +49 When solving O a) I = [sen (0) de Ob) I=tan(0)de O c) I = cos(0)de I= O d) I-sec(0)de I=…

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Q: Give the domain and range of the graph shown to the right. Then, use the graph answer parts (a)…

A: Domain is the value of x for which curve is defined.  Range is the value of y for the different…

Q: Concept Check: Evaluate the following integrals: y² + 4y - 4 dy 3. √√y

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Q: QUESTION 5 Given function f(x,y)= A. 2 B. 3 C. D. 0 ANSWER: 6 2 63xy of Evaluate at point (0, 1). ox

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Q: Using the Inverse Function Theorem, what is (-1) (8) given that /(x)=√6x-2? Note that (11) = 8. (Do…

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Q: e The median weight of a boy whose age is between 0 and 36 months can be approximated by the…

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Q: sint do соби Ө

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Q: The plot below represents the function f(x) 8+ 7 4 5 6 5 4 3 2 1 -5 -4 -3 -2 -1 -1 1-24 Evaluate…

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Q: Q2A)Matrix 4 = [],find Eigen values of 4². A

A: The given matrix is  A= 1342. We have to find eigenvalues of A2. Eigenvalues are the roots of the…

Q: There are $448 available to fence in a rectangular garden. The fencing for the side of the garden…

A: Given that , Total available cost = $448 Road side cost = $12 per foot and other side cost = $4 per…

Q: Find area bounded by y = 0, y = √x - x² using double integration.

A: Graph: Now, we need to find the area of the above figure.

Q: ( (tano-1)² do

A: Given ∫[tanθ-1]2 dθTo evaluate the integral:

Q: Refer to functions p and q. Evaluate (qop)(x) and write the domain in interval notation. Write your…

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Q: The total amount of money in circulation for the years 1990-2012 can be closely approximated by M(t)…

A: According to our guidelines we can answer only one question or three subparts of a question. Other…

Q: d²y dx² - dy - - 6y = 0, when x = 0, y = 0, and when x = 1, y = e³ dx

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Q: Solve differential equation dy dx -(x²+y) x+siny

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Q: B)Solve the differential equation x+4y M

A: Given differential equation is:

Q: Estimate the slope (slope = rise/run) of the tangent line to the curve.

A: answer is in next step . please give a like !!

Q: Find (-¹)(-5) using the Inverse Function Theorem, given that r(x) = −4x³ – 5x² – 7x – 11 . Note that…

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Q: dy B)Solve the differential equation dx x6+4y

A: To solve Differential equation.

Q: What is the correct answer 4 isn’t right

A: Follow the procedure given below.

Q: B)Prove (cose + i sine)" = cosn0+ i sin no

A: See the details solution in below

Q: Use cylindrical coordinates. Find the volume of the solid that lies within both the cylinder x² + y²…

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Q: Consider the functions f (red) and g (blue) y 10 12 for these functions we have that the line y=8 is…

A: Topic = Limits Just 1 is true.

Q: Let S be the solid obtained by rotating the region shown in the figure below about the y-axis. y…

A: We have to solve above given graph for volume.

Q: Solve by Gaussian-Jordan algorithm (reducing to rref). Show all row operations you apply. If the…

A: First we reduce in row eclehon form .

Q: Which of the following interval is f(x) = O (2, +∞0) O [2, +∞0) 0 (-∞0, +∞0) ○ (0, +∞) 1 Vx…

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Q: Q4A) Find area bounded by y = 0, y = √x-x² using double integration.

A:

Q: Task Title: Pair Me! Materials: Mathematics notebook and ballpen Instructions: 1. Form 8…

A: Concept: Four basic operations are included in basic math operations: Subtraction(-) Addition(+)…

Q: Q2A)Matrix A =[42],find Eigen values of A².

A: We need to find eigen values.

Q: 11. Find the angle between the planes: 4y + 3z = -12 and 3x +2y + 6z = 6.

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Q: Find (s-¹1)' (5) using the Inverse Function Theorem, given that s(x) = −6x³ – 8x² – 9x - 2. Note…

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Q: 1 f(x) = X g(x) = Inx A) In[f(x) + c C) Inf'(x) + c 1 1+2e-x A) In|1+2e C) Inje*+1| + c 5. f(x) g(x)…

A: We can answer both the question as below.

Q: Given that f(x) = (x - 6)² and g(x) = 1 and g(x) = 1 – 2x, find

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Q: Proceed as in this example to find the solution of the given initial-value problem. Evaluate the…

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Q: 64 ans: su 3 6. Calculate the area between the Curve fcx) = x²³²_4 and the lines y=2x + 4 and y=0,…

A: area between curve