Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 2j as adjacent sides. | NOTE: Enter the exact answers. ||d||=V5 ||d||=|3

Q: (1) Show how to compute the Jacobian for a double integral f SR f (x, y)dxdy to a double integral in...

A: The Jacobian formula is: J(u,v)=∂(x,y)∂(u,v)⇒J(u,v)=∂x∂u∂y∂u∂x∂v∂x∂v...(1)

Q: 3) A cylindrical fish tank is 8 meters deep and has a radius of 3 meters. The depth of water in the ...

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Q: Applying the quetient rule, what is w() if hG)-

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Q: xy? + x² + y² = 1 %3D

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Q: by L'Hopital's rule 1-cos(x) lim x2

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Q: (x+ 2y - 1) dx + (2x +y+ ) dy - o LINE 1 let メ= u-1, dx = du ya v+, dy edy LINE 2 (u-1+2y + 1-1) du ...

A: Error 1 :-  Line 3   (u-1+2v+1-1)du+(2u-2+v+1+1)dv=0  CORRET LINE :- (u-1+2v+2-1)du+(2u-2+v+1+1)dv=0...

Q: Integrate the function. dx x2+ 8x + 32 A (2x + 8}In]x2+ 8x + 32|+ C B X+4 tan + C 4 sin + C (*+4) X+...

A: First simplify then use the formula of integration and get the final result 

Q: 1. Find the centroid of the infinite region in QIl enclose by the coordinate axes and the curve y = ...

A: Here we have to find the centroid of the infinite region in QII enclose by the coordinate axes and t...

Q: 1 Let an = n > 3. n ýln n Without computing any limits, use the Monotone Convergence Theorem to dete...

A: Given

Q: y?sinx + y = arctanx, solve for y

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Q: For the function y 8 f(æ) = 1+ x² ' a. Find the slope of the line tangent to its inverse function at...

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Q: 1. S 3te'dt

A: Note : as per our company guidelines we are supposed to answer only one question.kindly post other q...

Q: a ctused Kectangutar box with a squar bare If base side is measured with evror at and the height is ...

A: We have to find error percentage. 

Q: . Credit Card Delinquency Rate The credit card delinquency rate stood at 5.7% at the beginning of 20...

A: To find: The credit card delinquency rate at the beginning of 2012. Given information: The credit ca...

Q: goldsmith finds that the demand for gold is governed by p(x) = -x² + kx, here x is in (troy) ounces,...

A: Solution is written in below steps.

Q: Find the vector component of v = 2i – j+ 3k along b = 2i + 6j + 9kand the vector component of v orth...

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Q: Directions: Evaluate the following limits using table of valuas. 2.) lim in 2t

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Q: 4. An anagram of a string of letters is a rearrangement of the letters so that there is a change of ...

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

A: To find out the distance from the point P to the line through A and B using the method given. 

Q: 2. f (x) = (x³ – 2a² + – 6) (2a² – 2x + 4) - -

A: Given problem:- f(x) = ((3/4) x3 - 2x2 + x/4 - 6)(2x2 - 2x + 4) Find derivative using product rule

Q: Given f(x)=x+2Jx. Use the definition of derivative to find f'(x).

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Q: Help Save & Exit Judith receives an annual salary of $37,500 based on a 37.5-hour workweek. What are...

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Q: Find the area of the triangle with vertices P(1,3, -5), Q(0,0,0) and R(4, 5, 1). | NOTE: Enter the e...

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Q: Solve the equation z- 12=j(9-2z) where z is the complex conjugate of z

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Q: c) Suppose a car drives at a speed of (5+ 3t ) m/s where t is time in seconds. How far did the car g...

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Q: Find the vector component of v = 2i -j+ 3k along b =i+ 4j + 8k and the vector component of V orthogo...

A: Formula:vector component of A along B:A cosθ B^ =(A→·B^) B^ B^ =B→B→ v=2i-j+3kb=i+4j+8kb^ =bb=(i+4j+...

Q: Solve by Chain Rule (V3x² + In(5X*)) y = tan

A: To differentiate the given function using chain rule.y=tan3x23+ln5x4

Q: A function is said to have a horizontal asymptote if either the limit at infinity exists or the limi...

A: limx→∞-4x12+2xApply L-Hospital Rulelimx→∞-42=-2limx→∞-4x12+2x=-2

Q: find (y') by Implicit differentiation x² tan(y) + y10 sec(x) = 2x

A: x2tan(y)+y10sec(x)=2xDifferentiate w.r.t x

Q: S sin 3xcos"3xdd

A: Given: ∫sin43xcos43xdx Let I=∫sin43xcos43xdx  ⇒I=116∫2sin3xcos3x4dx ⇒I=116∫sin46xdx

Q: A balloon leaving the ground 60 ft from an observer rises vertically at the rate of 10ft/sec. How fa...

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Q: 5. The management of Porter Airlines finds that its monthly marginal revenue can be approximated by ...

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Q: 5. 4e2xdx

A: Given:       ∫4e2xdx Taking constant out.     =4∫e2xdx substitute u=2x→dudx=2→dx=12du       =4∫12·eu...

Q: Solve the differential equation by variation of parameters. 16х у" - 16у %3D 4x e У(x) %3

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Q: The average cost of producing x units of a product is C = 500e*/500 dollars per unit. What is the ma...

A: To find out the marginal cost. 

Q: Directions Show the following x-6xt3 is continuour on the in terval [-8,2]. |

A: To show that the given function is continuous in the interval [-3,2]

Q: A cherry with a temperature of 25 °C' was submerged in a punch of vodka of temperature 5°C. After a ...

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Q: 4- Find the center and radius of the circle: x² + y? + 4x – 6y – 3 = 0

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Q: 2. S(2 – 3e*) dx

A: Use simple integration formula.

Q: Mark the critical points on the following graph. 136

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Q: 9. S sin(4x – 2) dx

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Q: en the solution yı to the ODES below, use reduction of ordert cond solution to these ODES: y" + 2y' ...

A: We have to find the 2nd solution of the given differential equation using the reduction of order

Q: 1. Evaluate each of the following limits. Simplify your answer completely. Show work or explain your...

A: Put x=1, as the denominator is a definite value

Q: 10. W (꼭프) 22π 3

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Q: Graph the piecewise-defined function. x-3 if x55 f(x) = 2 if x>5 Choose the corect graph. OB. Oc. O ...

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Q: Ferential Equations 2) y-16y 0

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Q: 6 2 7 M = 2 8 6 Inverse(M) %3D 8 3 1

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Q: 1-cos(x) lim x→0

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Q: 1. Let {an}ı be a convergent sequence defined by a1 V5 and an+1= V5an. Find lim an. n 00

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Q: -x – 2 2x + 8 f" (x) = f(x) = (x – 2)² f' (æ) = %3D (x – 2)³ ' (a – 2)4 Find the domain, intercepts ...

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