O sechudu = 2tan e" + C/ = tan (sinhu)+C -1

Q: Find the area of the region bounded by the line y = 2x – 5 and the parabola y = x² – 4x. - -

A: Graph of enclosed region -

Q: sin 2.xdx S- 19 Vsin x-3 Evaluate: a. 2vsin x-3+C /sin² x-3+C 2 +C sinx-3 с. d. Vsin? x-3+C 20. Eval...

A: We have to evaluate the given Integral.

Q: 1. The differential equation x(3.xy – 4y' +6kdx+(x' – 6x²y² - 1\dy = 0 is exact because ƏM ƏN dy

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Q: Use the table to evaluate the expression. 1 4 5. 6. f(x) g(x) 3 1 3 3 4 f(g(2)) 5.

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Q: Convert the numeral to a numeral in base ten

A: Given that: 515728

Q: Find the value of c when f' (c) = 0 for f(x) = 3x² – 12x + 9,where 0 <x< 4

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Q: Transform the linear equation into its standard form and evaluate the DE. xdy-dy=(3x²-3x)dx-ydx

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Q: 2. (2.xy – sin x)dx + ( - cos y dy = 0

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Q: 5. The differential equation (3x'e' - 2xx+ (r'e' -sin y ldy = 0 is exact because ON

A: Partial differentiation is needed to be done after identifying M and N

Q: Which of the following functionis islare homogeneous? You could choose more than ane from the choice...

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Q: singx 4. lim x-0 sinnx

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Q: 3. Using the steps in solving for homogeneous differential equations, evaluate: dy x² + 2y² dx ху

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Q: Find the limit. est - 1 lim t-0 sin(t)

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Q: 2. The differential equation (4x'y -6xy-2x-3dx + (2x*y – 2.x' kdy = 0 is exact because ƏM ON dy

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Q: Which of the following is/are exact differential equations? d) (e2y-ycosxy)dx + (2xe2y-xcosxy+2y)dy...

A: Given : d) (e2y-ycosxy)dx + (2xe2y-xcosxy+2y)dy = 0 e) (t/y)dy + (1 + lny)dt = 0 f) (tany - 2)dx + (...

Q: Determine whether or not the angle between the two vectors below is the right angle. You need to wri...

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Q: 6. f (x) = x* - 1; c= 1

A: Solution )lim x → c f(x) = f (c) F(x) = x4 - 1  And c = 1  lim x → 1 f(x) = f(1) f(1) = 14 - 1  f(1)...

Q: Gravel is being dumped from a conveyor belt at a rate of 40 ft3/min, and its coarseness is such that...

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Q: Use the limit comparison test to determine whether the series converges. 00 4 5k + 5 k=1

A: Given that: ∑k=1∞45k+5

Q: ædy – ydæ = (x² – y²)dy (tan y – 2)dæ + (* sec² y + +) dy =

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Q: 12.) Given u= (1,2,-3) and v= (2,-1,1) find: F a.) b.) 2u- Sy c.) The angle between u and v. d.) uxv...

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Q: If an object is dropped from a 151-foot-high building, its position (in feet above the ground) is gi...

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Q: Find an equation of the tangent line to the curve y =√x  at the given point (4,2) Use the definitio...

A: The expression for the equation of the tangent line is: y-y1=mx-x1 Where, 'm' is the slope of the ta...

Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consi...

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Q: Let g(x) = = X-f(x) S(x) , find g'(1),if f(1) = 4 and f'(1) = 2

A: Given that g(x) = -x-f(x)f(x). We have to find the value of g'(1). Given that f(1) =4 and f'(1) =2. ...

Q: Use the difference an+1 a, to show that the given sequence {a, } is strictly increasing or strictly ...

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Q: Compute the gradient of f(x, y) = 7 – 6x² – y" and evaluate it at the point (2, – 4). The gradient i...

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Q: dy (3x+4x (2x – 1)° , find the dx Let y =

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Q: 1-cos2 x 6. lim x-0 9x

A: To find the limit values: limx→01-cos2x9x

Q: The ratio of working-age population to the elderly in the United States (including projections after...

A: For the given function

Q: Question 2 The trough below is full of water. Recall that water has weight density 62.4 lb/ft³. 2 ft...

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Q: dy Find if y = (6x – x³)% dx V6x - x² b. 2. V6x–x² b. 6- 2х (3 – x)/6x–x² - Y - X d. (6–2x)/6x-x² с....

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Q: Express the repeating decimal as a fraction. 0.4444. ..

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Q: 8. Trace of (BA)²

A: Given :A=024-25-4431028336-43B=11121314125-201370214649  

Q: What is the differential equation given functions?

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Q: Find unit vector in the direction of . Show all your work on your own paper; leave the box below BLA...

A: We are asked to find the unit vector in the direction.

Q: 2. (1 + 2x – 4x²) dx

A: Given : (2) ∫55 1+2x-4x2dx

Q: Tour approkimating onts. (Kound your tch the graph and the rectangles. y y y y 2 1. wour estimate an...

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Q: /' + y' = siny 1st order, 4th degree 2nd order, 1st degree O 4th order, 4th degree

A: Given: y'' + y'''' = siny

Q: Which of the following function/s is/are homogeneous? a) x3+x2y+x3 b) lnx-lny-ex/y c) ex d) 1/ (...

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Q: B. Evaluate the following lim 1. lim log x

A: Given: limx→12logx

Q: Evaluate sin 2x sin 4.xdx 2 b. sin 3 2x + C 3 1 a. sin ' 2x+C 3 c. cos' 2x+C 1 с. 3 d. -cos 2x +С 2

A: To evaluate the given integral: ∫sin 2x sin 4x dx  

Q: dy Find dx if y = cos e*

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Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given point...

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Q: The len for th function Y= Fcx), where f is arc Curye increasèng function, J Ise tio' de. Vst tio' d...

A: The arc length of curve y = f(t) is given by: S(x)=∫0x 1+dydx2 dx

Q: (3x*y + 4.xy' + 6)dx + (r* +6r°y -1}ty = 0 1.

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Q: Let i = (43, –203, 8301). Find the cross product i x 37v. The answer is simple, and you do NOT have ...

A: v→=(43,-203,8301)v→×37v→ =37(v→×v→)In cross product of vectors formula is goven as ( a→×b→=|a||b|sin...

Q: 3.a) Eliminate the Arbitrary Constants in the equation: y = C1sin(2x + C2) y" + 4y = 0 у' — 4у%3D0 O...

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Q: Q#5. Evaluate the surface integral [| f(x,y.-)dS When f(x, y, z) = 3xyz and o is the portion of the ...

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Q: 3. f(x) = v2 – x at x = 1

A: As per our guideline we are supposed to answer only one question you can repost other questions in n...