Find the area of the shaded region. r= 4 + 3 sin(0) TT - 2 2

Q: 1. Write the improper integral which is represented by the following limit. lim C2" 2x dx x2-4 2. Sh...

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Q: 4 Find the area bounded by Y 0, y = 0, x = 2. %3D /144 – 16x? Round to four decimal places.

A: We have to use definite integration. 

Q: Consider the series (-1)"(2x+ 3)". n=0 (a) Find the series' radius and interval of convergence. (b) ...

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Q: 4. Find the volume V of the solid obtained by rotating the region bounded by the given curves y = Vx...

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Q: Given the differential equation, its particular solution, and its wronskian –7x y" + 2y' - 35y = 4 e...

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Q: 4. Find the double integration of [(1+xy* )dx dy. ww m

A: ∫04∫y2y(1+xy2)dx dy∫04x+y2.x22y2ydy  

Q: Classes Canva Notion - The all-i. Instagram (5) Home / Twitter A Facebook YouTube l Bea Elaisa Alvar...

A: End behavior of given polynomial is if x tends to ➕➖ infinity♾️ then f(x) tends to infinity. 

Q: is continuous at x=3, f (-1) =6 ? + a, x # 3 3b, x 3 ontinuous at x=2? - x > 0

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Q: Evaluate each of the following integrals. 1. S cos5 x Vsin x dx 2. S sin* 3x dx

A: Let ,I=∫cos5xsinx3dx⇒I=∫cos2x2.cosxsinx3dxWe know that , cos2x=1-sin2(x)I=∫1-sin2x2.cosx.sinx3dxPut ...

Q: Question I L0, Write the following Integral as a limit 3. b Determime whe ther the following integra...

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Q: (x² + y²)dx – xydy = 0 %3D -

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Q: Find the shortest distance from the point (2,0,–3) to the plane x +y + z = 1.

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Q: Set up an integral that represents the arc length of the function y = 4x4 + 5x from the point (0,0) ...

A: We have to find a, b and f(x)

Q: メク-2x dx メナをメ

A: ∫x3-2xx3+xdx

Q: Let f(x) = (7 – 2x)* f(x) has one critical value at A = For æ A, f(x) is Select an answer

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Q: function f(x, y) = 7x – 8y + 2xy – x² + y³

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Q: A vehicle purchased for $32500 depreciates at a constant rate of 8%. Determine the approximate value...

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Q: Q2: Use Cramer's Rule to solve the system:- 4x – y + z = -5 2x + 2y + 3z = 10 5x – 2y + 6z = 1

A: Given,            The system of equations are             4x-y+z=-5             2x+2y+3z=10         ...

Q: (즈,-2)] ww m ie equation for this functic

A: topic - trigonometric equations

Q: 2. Σ--1)k , k%3D k+1

A: The given sequence is ∑k=0∞-1kkk+1

Q: 2x +3x-2 (i) lim 2х-1 1 +1 1) lim x+2 x+3 x-3

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Q: 1 The region bounded by the graph of f(x) and the x-axis between x = 0 and x = 9 %3D 1+ x2 is revolv...

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Q: Q5: Find the domain and range for:- (Answer two only) (1) F(x) = V5x + 10 (2) F(x) = 1+ x? x2+1 (3) ...

A: Note: Since you have posted multiple questions we will solve the first question for you. If you want...

Q: when (x,y)#(0,0) then, of f(x,y) = when (x,y) = (0,0) %3D show that +(x,y) tunetion is continuos at ...

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Q: Find the extreme values of f(x, y) = x² + y² + 4x – 4y inequality x? + y² < 9. on the region describ...

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Q: Compute T2(x) at x = 1 for y = e" and use a calculator to compute the error |eª – T2(x)| at x = -1.5...

A: Find your answer below 

Q: Question 4 (sin(3t))^2(cos31)) dt

A: To evaluate the integral ∫sin23tcos3tdt Formula used: Power rule of differentiation ∫xndx=xn+1n+1+c ...

Q: Find the series' interval of convergence and, within this interval, the sum of the series as a funct...

A: Find your answer below 

Q: csc5x cot5x dx 5csc5x (A csc5x B csc 1 -csc5x 3 В 1 -csc5x 3 D csc5x None

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Q: the gradient to find the directional derivatve of the function direction of Q. 8. f(x,y) = e' sin x ...

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Q: sinrdr In( ou In cosr -3 cosr -3

A: Indefinite integral

Q: Evaluate. 3 If f(2)dz = and 9(=)dz = - 1 what is the value of g(x)dx [6f(x) + 29(z)]dz =?

A: Topic = Integration

Q: Evaluate: A 4e“+C B +C +C D 4 +C (E) None

A: option D integration

Q: Use Lagrange multipliers to find the maximum and minimum values of the function f (x, y) = y² – x² s...

A: The given function is f(x,y)=y2-x2 And the given constraint x2/4 + y2=1.

Q: -In²(Ine*) dx

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Q: Find the shortest distance from the point (2,0, –3) to the plane x + y + z = 1.

A: This is a problem related to geometry part. Based on the concept of plane and point we will find the...

Q: 1 x2 100 A firm can produce only 2700 units per month. The monthly total cost is given by C(x) = 400...

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Q: Let g(s) = (5s – 8)*. - Then g'(s) is g'(3) is s! (s),,6 and g''(3) is

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Q: e3x - 00 1+e3x –3 dx =

A: Given,            ∫-∞-3e3x1+e3xdx

Q: Evaluate: [e (5-3) dr A 2(,5–3) 2 B +C 3 2(5-3) ?

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Q: Calculate the definite integral. 4xy Vx2 + y2 dy Calculate the iterated integral. (1 (1

A: Here we have to calculate ∫014xyx2+y2dy

Q: Given the differential equation y" + 7y' + 12y = 8x e-3x Determine the General Particular Solution f...

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Q: Find the equation of the tangent line to the curve (a lemniscate) 2 2(a? + y?) = 25(æ² – y²) at the ...

A: Topic:- application of derivatives

Q: -7. -5-4 -3-2 -1 \I 2 3 4 5 -2 -4- o ト oゆ!

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Q: 15n + 8 J n=1 Factor the difference an+1 – an to show that the given sequence {a, } is strictly incr...

A: The given sequence is ∑n=1∞an=∑n=1∞n15n+8

Q: For the function ?(?) = 1/4e^x+e^-x 1. Set up the integral for the length of the curve segment along...

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Q: TRUE or FALSE. Type in "1" if TRUE, type in "2" if otherwise. | f(x)dæ = F(x) implies that d [F(x)] ...

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Q: 3. %3D x +4 Start Över

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Q: Find the general solution of the differential equation: y'+4y=xy^3. Use lower case c for the constan...

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Q: Graph the following function: y Step 2 of 2: Determine how the general shape of the graph, chosen in...

A: This is a problem related to curve sketching and it's transformation. Based on the phase shifting co...