dx V1x-1|

Q: Find u (u x v) for the given vectors. u = 3 i - j+2k, v = -2i +3j + 2 k Select the correct choice be...

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Q: If the edge of a cube is 8 cm and increases by 0.1 cm, what is the approximate change in volume?

A: edge of a cube=8cm  volume of cube =(edge of a cube)3  volume of cube=(8)3  volume=512 cm3

Q: Find a unit vector normal to the plane containing u =i- 3j -k and v = - 3i - j+ k. ..... A unit vect...

A: This question is based on finding curl of two vector.

Q: fe = then 4 sin(0) = cos(0) - alues desimale alle wod!

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Q: Consider the vector field F(x,y,z)=(7y,7x,2z). Show that F is a gradient vector field F=∇V by determ...

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Q: Complete the sentence below. 元 -1. y= sin where -1sxs1 and 2 x means y= sin -1, x means where -1 xs1...

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Q: xf (x² )dxif Find f(x)dx = 1. Enter the exact answer. xf (x? )dx =

A: If ∫09f(x)dx=1, then we have to find I =∫-30xf(x2)dx

Q: Question 5: We want to construct a box whose base length is 3 times the base width. The material use...

A: Volume of the box = lwh

Q: A car traveling at 50 ft/sec begins decelerating (time is zero here, as is position) at a constant 1...

A: We will find the distance as required.

Q: Q1 - Evaluate the following integrals i. Sxe-*dx

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Q: (-2)" Determine the limit of the sequence a, = -2 1 - 1 Divergent O O O O O O O

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Q: The polar equation of the graph is either ra+b cos 0 or a+b sin 0, a> 0, b>0. Select the correct equ...

A: For the given graph, proper equation is r=a+bsinθ. Reason : When θ=0 and θ=π, the values of r=5 and ...

Q: 1 dz c+x2 c)

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Q: Find the area of the shaded region. y y3x² 3y 2 x+16 8 (1, 6) 4 (2, 4) (-2, 4) 2 y = 8 – 2 x -4 -2 4...

A: First we will divide the region in two parts.

Q: Prove that for A + B, AB S AB S AB. 8. Use the Ruler Postulate to prove that if A, B, and C are any ...

A: As you have asked for question number 8 only. So I am solving only that.

Q: Let F = Vf, where f(x, y) = sin(x - 3y). Find curves C, and C, that are not closed and satisfy the e...

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Q: Solve the following DE using TWO DIFFERENT methods (Two dif- ferent approaches to same method will b...

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Q: Integrate x cos(2x^2+7) dx. Select the correct response: O sin (2x^2+ 7) + C

A: Given that

Q: * +3 Draw a graph of f(x) by first placing the horizontal and vertical asymptotes, then plotting an ...

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Q: x) g(x) Find the area of the region enclosed between f(x) = 0.6x2 + 5, g(æ) = x, x = -5, and x = 4 A...

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Q: Question 2: Find the product of one of the following integrals dxdy 2- S So cos( ²+y²) x2+y2)sin (a ...

A: Let's find. 

Q: Evaluate the integral using Part 1 of the Fundamental Theorem of Calculus. 3 | 4x(1 – x² )dx = -1 i ...

A: Given that: ∫-134x(1-x2)dx

Q: 4. (y' — 5у) %3 х?е* — х е5x

A: According to question, Given differential equation, y'-5y = x2ex-xe5x.

Q: Evaluate the integral. 6 dx x4Vx² + 27 NOTE: Enter the exact answer.

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Q: Solve for æ: 522 - 8 = 86z -8 You may enter the exact value or round to 4 decimal places.

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Q: First question: find using the transformation v = 3x = V,u= 4x+3y, the product of the integral | (12...

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Q: Complete the sentence below. -1 COS cos (cos x) =x where 3Dx cos (cos x) = x where Cos 0<x<2x. 0sxST...

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Q: 1 In Exercises 1–4 compute dA for the given parameterization for one of the two orientations 3. * = ...

A: We need to find dA.

Q: Find the quotient and remainder using long division. 13 – 33x + 13 z + 6 The quotient is The remaind...

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Q: Show your step-by-step solution. Find all the relative extrema and saddle points, if any, of the giv...

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Q: Evaluate (cos x In sin x) dx. Select the correct response: O cos x (In sin x-1) +C sin x (In cos x-1...

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Q: Q7. Solve the following improper integrals: 2x 00 dx (i) (ii) x* +1 (x² +1)2

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Q: z4 + 3x3 + 2x + 6 Find the quotient and remainder using synthetic division: x +1 The quotient is The...

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Q: Given P(x) = x³ + 4x? + 4x + 16. Write Pin factored form (as a product of linear factors). Be sure t...

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Q: Find L[t sinh 6t] 12 (s²+36)² 12s (s²–36)2 12s (s²+36)? 12s (s²–36)? O O O

A: We know that the Laplace transform; Ltnft=-1ndndsnLft And Lsinhat=as2-a2 Given: Ltsinh6t  

Q: Express the equation in logarithmic form: (a) e* = 5 is equivalent to In A = B. Then A and B (b) e =...

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Q: 0 <x < 2 - 25x <0 -25x50 - 2<x <0

A: Topic = series As per guidelines , at a time only one question can be answered out of different mult...

Q: 6. Determine, to two significant digits, the velocity of escape for each of the celestial bodies lis...

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Q: CV4-x2 4-x2-y2 1- o So Si s** ydzdydx Jx²+y2

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Q: Find the area of the largest isosceles triangle inscribed in a semicircle of radius 10 feet, the ver...

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Q: 4. A bank pays interest continuously at the rate of 6%. How long does it take for a deposit of Qo to...

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Q: 15 Find the area under the curve y over the interval [ – 1, 1]. (x + 2)? area = i

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Q: Let f be the function given by f(x) = -4 x. Which of the following statements about f are true? 1. f...

A: Given f(x)=-4|x|

Q: Evaluate the integral. 2 5 dx VE x²Vx² – 1 .2 - NOTE: Enter the exact, fully simplified answer.

A: We have to calculate the value of given integral.

Q: ii. In(x) dx

A: Using integration by parts,

Q: The polynomial of degree 5, P(r) has leading coefficient 1, has roots of multiplicity 2 at z = 1 and...

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Q: Question 2: Find the product of one of the following integrals 1- Sy 2- S So cos(/x²+y²)sin (Jx²+y²)...

A: Let's find. 

Q: Question 2: Find the product of one of the following integrals 1- f Sy m dxdy cos(x2+y2)sin (I²+y²) ...

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Q: Solve for x: log(r + 5) – log(r + 2) = 2 You may enter the exact value or round to 4 decimal places.

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Q: 4. Given the function y = (3 - 2x²)/(1- x -2x?), (a) Find the difference quotient Ду/Дх.

A: Topic:- Difference quotient