Find the area of the shaded region. y y=x² (-2, 4) -2 A = -4 6 4 2 (1,6) |3y=2 3y=2x+16 (2, 4) y=8-2x 2 4

Q: 5) Find all values of x for which En=1 nxn (n+1)(2x+1)n converges absolutely.

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Q: Does the geometric sequence converge or diverge? Explain. 40,-10, 2.5, -0.625,...

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Q: For 16 years, Janet saved $250 at the beginning of every month in a fund that earned 5.75%…

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Q: (6) Solve the following differential equations of 1 -(- ´, ny)dr = 0 y j 21 ...... (y-xy) dx + xdy =…

A:

Q: Solve the following differential equations of 1 -(- ny) dr. = 0 y J 21 ....... '' ... (y-xy) dx +…

A: Solving using method of seperation of variables

Q: Evaluate the integral. (Use C for the constant of integration.) √3x√1- 3x√ 1 - x4 dx

A:

Q: Given the function f(x) = x² + Draw a sketch of the graph of f. 16 - X x>0

A: Follow the procedure given below.

Q: Q5-Show if the following series are converging or diverge π 1) Σ=1 η 10 Σ=1 (33) 1 της 2) 3) Σ=1

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Q: Given y=(3-ex)/2ex  , determine the behavior as x approaches negative infinity

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Q: 5) a) Find the eccentricity, b) identify the conic, c) give an equation of the directrix & d) Sketch…

A: Concept: We know that a conic section is defined as the locus of a point that moves in such a way…

Q: IF A = i-2j-3K, B= 2i tj-K, C= i +3j -2 FIND (LAXB) x C 1 ) ( | A x (BxC) 1) (A • (BXC) (A x B) • C

A:

Q: 1. In x x² dx

A: The given integral is: I=∫16lnxx2dx   So, we can also write as; ∫16lnxx2dx=∫16lnx·1x2dx=∫16lnx·x-2dx…

Q: 12. The modulus of elasticity of the spring is given as 270,000 N/m. find the work done in…

A: k=270000 N/ma = 0b = 1 mm = 0.001 m

Q: 3. Approximate the integral using: (a) trapezoidal rule. (b) Simpson's rule. SUBJECT: NUMERICAL…

A:

Q: At a bowling alley, the cost of shoe rental is $2.75 and the cost per game is $4.75. If f(n)…

A: Calculation of above requirement are as follows.

Q: form: 2)If z=(2√3-2i)² then the angle 0 in polar 71 117 6 6 خیار 1 117 3 خبار 2 خبار 3 O

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Q: (6) Solve the following differential equations of y jus 2 (2x² + y)dx + (x²y-x)dy=0 3- - 4.

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Q: 4) Find the value of a for which the limit lim x-0 evaluate the limit. sin(ax)-sinx-x. x3 is finite…

A: find limit

Q: The number of bachelor's degrees conferred has been increasing steadily in recent decades. The rate…

A: Given: B'(t)=0.621t2-1.213t+15.55

Q: An air traffic controller spots two airplanes at the same altitude converging to a point as they fly…

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

Q: Part One. All of the equations listed below are general equations of conic sections. Study each…

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Q: Find y = f(x), given d²y dx² = f'(x) = 2* In 2 + 2ex -x-² +2

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Q: Solve dy dx +4y=2.

A: Solving the differential equation by seperation of variables

Q: 10. Let w = f(z) = Find f(1 - i) 1+z 1-z A. 1 - 2i B. −1+2i C. -1-2i D. none of the above

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Q: The 2000 census in a particular area gives us an age distribution that is approximately given (in…

A:

Q: -if y=x² the dy dx

A: Finding dy/dx

Q: me he Value of 4 Eth 4E f(a) integral 1=1,3 2 xex dx using Simpson's methhod when n = 8 is 65.3690…

A:

Q: Q1: b: Evaluate the limit: (1) lim-11 17-1 x-1 -2x-4 (2) lim,--23+2x² sin(x-3) (3) lim,-3²-9

A:

Q: Write an equation for the parabola shown to the right. The equation of the parabola is. (Use…

A: consider the equation of parabola is  y=ax2+bx+c

Q: (2xy² − 2y) dx +(3x²y - 4x)dy = 0

A: Given: 2xy2-2ydx+3x2y-4xdy=0

Q: A stereo store is offering a special price on a complete set of components (receiver, compact disc…

A: A stereo store is offering a special price on a complete set of components(receiver,compact sick…

Q: EVALUATE: IF A = 3i-j-2K FIND: | (A+B) × (A-B)| | (A x B) | & B = 2i + 3; +!

A: We can solve as follows

Q: The figure shows the first three in a sequence of squares. The first square in the sequence has a…

A:

Q: An employee earns $48,000 in the first year with a company. Every year, the annual salary increases…

A:

Q: 3. The point zo = 1 + i is Zo |z| ≤ 1? A. an interior B. a boundary C. an exterior D. an isolated…

A:

Q: 3 0 11 06: a: Let A = 12, B =[ -1 1 5 Find (2A-1)B -2 0 3

A: A= 301012-115 B = 1-20-132 find  (2A-I)B'   B' = 1-1-2302

Q: Find the volume of the parallelepiped whose edges are represented by: A=2i-3j+4k , B=i+2j-k and C=…

A:

Q: Solve the initial value problem y" - 2y' — 8y = 0, y(0) = a, y′(0) = −6. Find a so that the solution…

A:

Q: Find the solution of the differential equation that satisfies the given initial condition. dL=kL2…

A:

Q: 05: Solve the following system of equations by Gramer's Rule. 2x - 4y 0 x+y+z=1

A: Use Cramer rule to solve the system

Q: Exercise 0 * Calculate integral below where I is a stright line Connecting the points [-1,3] and [2,…

A:

Q: Use the factor theorem and synthetic division to decide whether the second polynomial is a factor of…

A: yes

Q: Two weather stations are aware of a thunderstorm located at point C. The weather stations A and B…

A:

Q: 1-sinx x-1-cos2x 9) lim 10) lim TC X- sinx-cosx TL X- 4

A:

Q: 06: a: Let A = Find (2A-I)B' 3 0 11 0 1 2 -1 1 5 =[₁ B = -2 0 3 2

A:

Q: Find the solution of the differential equation that satisfies the given initial condition. x In(x) =…

A:

Q: 4. Solve S/² x + ²/2 y = − 3 y=x+2 using elimination method

A:

Q: ᴛʜᴇ ᴅɪᴀɢʀᴀᴍ ʙᴇʟᴏᴡ ʀᴇᴘʀᴇꜱᴇɴᴛ ᴛʜᴇ ʀᴏᴏꜰ ᴏꜰ ᴛʜᴇ ʙʀᴏᴡɴ'ꜱ ꜰᴀᴍɪʟʏ'ꜱ ꜰᴀᴍʜᴏᴜꜱᴇ. ᴀʟʟ ʀᴀɪɴ ᴡᴀᴛᴇʀꜰʟᴏᴡꜱ ꜰʀᴏᴍ ᴛʜᴇ…

A: We have to find the total area.

Q: Given the function g(x, y, z) = x²y - 4zex+y, find the slope at P(1,0,1) in the direction of the…

A: Here is the solution

Q: Put the equation into the form x'(t) = g(t)h(x), and solve by the method of separation of variables.…

A: Factor the equation