Spot the mistake/s in the solution. Tick the box that applies. S sin x h (os x ) dx

Q: 1. State the Chain Rule: a. z= f (x, y) is a differentiable function and x = s(t), y = p(t) - are fu...

A: Given z=f(x,y) To state the chain rule

Q: (2) Consider the coin-tossing example we did in class (Lecture 9 on Feb 25). The coin parameters are...

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Q: (c) Let f(x.y) = (x²+G))), Determine the directional derivative of f at the point (1,0) in the direc...

A:  f(x,y) = (x2 + (y/2))3 we have to determine the directional derivative of f at the point (1,0) in t...

Q: 3+ -5 -4/-3 -2 -1 1 2 34 5 -1 -2 -3+

A: The shape of the curve that represents a polynomial with even degree has is one sided. I.e the both ...

Q: Explain why the integral ex* dx is convergent.

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Q: 3 1-x²-y² e-3(x²+y²+z²)² dz dydx 1-х2 a) Evaluate e-3(x²+y²+z?)² dz dydx

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Q: and stra ight and x : 8 Let R be an area enclosed by a curve. : 1 Using the cylindrical shell method...

A: Given problem:- Let R be an area enclosed by a curve. X =4√y and straight line y=1and x = 8 Using th...

Q: Given Cost and Revenue functions C(q) = q° - 11q + 55q + 5000 and R(q) = - 3q +2600q, what is the ma...

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Q: 2x +x sin 3x lim 5x² -2x+1

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Q: Find the differential equation of the family of plane curves described. Draw at least three members ...

A: We have to find the differential equations of the family of curve that

Q: The force exerted by an electric charge at the origin on a charged particle at the point (x, y, z) w...

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Q: Evaluate the integral. 8t3/2i + (t + 8)vtk) dt

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Q: Instruction: Encircle the letter that corresponds to the best answer and show your solution. 1. Find...

A: x2+y2-12x+4y-5=0Differentiate w.r.t x2x+2yy'-12+4y'=02(x+yy'-6+2y')=0x+yy'-6+2y'=0Substiute (x,y)=(0...

Q: orm f(x) = ar² + bx +c whose graph %3D

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Q: dy = (y2xe^ - 3x²y)dx

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Q: a)Find the exact arc length of the curve 24xy = y^4 + 84 from y = 2 to y = 4

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Q: Find dy of Using first principles

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Q: The curves f(x) = x² – 3x – 4 and g(x) = 2x – 10 intersect at the point (2,-6). Find the acute angle...

A: Given:     f(x) = x2 - 3x - 4      g(x) = 2x - 10  Intersect point : ( 2 , -6 ) 

Q: A rectangular garden of area 480 square feet is to be surrounded on three sides by a brick wall cos...

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Q: Evaluate | F • dr where F (0, y, – 4x), and C' is given by - F(t) = (t, sin(t), cos(t)), 0 <t<

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Q: Evaluate / y ds, C: x = t, y = t, - 2 <t < 1

A: We are authorized to answer one question at a time, since you have not mentioned which question you ...

Q: Show that if ƒ and g have continuous second derivatives and f(a) = g(a) = f(b) = g(b) = 0, then | s«...

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Q: Lesson 2 1. For the function y glx), analyze and find: a. lim g(x) b. lim g(x) c. lim g(x) d. lim g(...

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Q: 3. + (x-2y+4) dx =c (2x-y +2) dy

A: Solution of the above differential equation is given by

Q: Solve the differential equation: dy = (y2xex3-3x2y) dx Please also state which or the following wa...

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Q: lim g(x) =, lim g(x) ; lim g(x) 1. -1- 34 2. g(-1) = 2- 3. lim g(x) = lim g(x) = ;lim g(x) = x0- 1. ...

A: Topic = Limits

Q: 4 lim 5. lim + 61 6 lm

A: This question is based on Limits.

Q: The pilot of a Boeing 777 jet takes off from Boston's Logan Airport, which is at sea level, and clim...

A: Given query is to find the linear relationship and the height of the plane at x = 18.

Q: diagram not to scal Topic 3 Trig Function graphs [52 marks] 1. A Ferris wheel with diameter 110 metr...

A: As per our guidelines, we are supposed to answer only one question at a time.   Given data are: Diam...

Q: 7. lim(9x-3x+4) (x-3)(* 8. lim EX-2. x*+1

A: limx→139x2-3x+4  

Q: Finding the Area of a Triangle Use the diagram of the triangle in Figure A to answer the questions. ...

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Q: and straight and x V : 1 : 8 Let R be an area enclosed by a curve. Using the disc method, which is t...

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Q: Sketch the graph and determine the domain and range. 1. y = 2- x,for x 2-4 2. y=x-6x +5. for 1 sx< 5...

A: As per Bartleby guidelines rule I am answering only top 3 questions. Domain : The domain of a functi...

Q: 3. ( 3x²y + e' )dx + ( x³ + xe' - 2y)dy=0

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Q: Factor the difference an+1 – an to show that the given sequence {an} is strictly increasing or stric...

A: The given sequence is: an=n12n+2

Q: 2. 49

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Q: 66. Find the volume obtained by rotating the region enclosed by y = In x and y = (In x)² about the y...

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Q: Give an example of a function f such that lim f(x) exists but f(0) does not exist. Give also, an exa...

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Q: sin 7x 2: lim 0 4x

A: Topic = Limits

Q: Differential equation y+sqrt(x^2+y^2) dx = xdy

A: Differential equation

Q: 4.x (a) lim 10 sin 5x sin() (b) lim 5x sin 3x (c) lim 10 x2 tan 2.x

A: Read the following instructions once 1. Short method is provided at the end of the subpart (c) 2.sin...

Q: 1/2 sin?y cosydy

A: Integration for sine and cos many power

Q: Part 1 of 2 A minute hand on a clock is 4 inches long. Determine how far the tip of the minute hand ...

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Q: dQ where Q = V3x“ + dt + 3y² Use the Chain Rule to find +z", x= sin t, y= cos t, and z= sin t. dQ %3...

A: Given query is to find derivative using chain rule.

Q: dy Find for: dx tanx a) y = xaT b) y = (Inx + x)'

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: and stra ight and x:8 Let R be an area enclosed by a curve. : 1 Using the disc method, which is the ...

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Q: Find the slope of the curve x? – 3xy + y² – 4x + 2y + 1 = 0 at the point (1, -1). с. 1/3 d. 1/5 а. 1...

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Q: siny dx + (x – sin? y)dy=0

A: We have to solve the differential equation sin y dx + x-sin2y dy = 0   We know that ∫cosec x dx = ln...

Q: tim X=9 2 メー→3

A: Given query is to find the value of the limit.

Q: A hole is drilled through the center of a sphere x² + y² + z² = R,², leaving a ring-shape solid. If ...

A: The radius of the sphere is 'Rs' and radius of cylindrical driller is 'Rd'. When the cylindrical por...