sin a = 5

Q: Let C be the straight line path from (0, 1, 2) to (2,0, 5). 1. Compute ſo ry ds. 2. Compute fc x dr ...

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Q: Given: = 0 – sin 0; y=1– cose Find: dz2

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Q: 1. Evaluate the Riemann sum for f(x) = 3 – ¿x, 2 < x < 14, with six subintervals, taking the sample ...

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Q: 1. (x² + y?)³ = a*x²

A: Since you have asked multiple question, we will solve the first question for you. If you want any sp...

Q: y + /x² + y² ) dx – xdy = 0,x =

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Q: Find the vector n= normal to the plane passing through the points (0, -3, 0), (2, -1, 0) and (-2, -2...

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Q: Question Solve the following differential equation using the method of separation of variables with ...

A: The given ODE is: y'=xy+x⇒dydx=x(1+y) We need to solve this using separation of variable method. Thi...

Q: Let f(x)=4-3x^2. Find and simplfy f(x+h)-f(x)/h

A: Topic = Functions

Q: Evaluate | sin2xlogtanx dx

A: We use some trigonometric identities.   1) sin(π-x)=sinx. 2) log A + log B = log (AB) 3) tan x . Cot...

Q: Find f (x). 2. X f(x) = + 2 5x- 1 っX

A: Given So,        f'(x)=x2+25x-1' Apply the Quotient Rule:  fg'=f '·g-g'·fg2       =x2+2'5x-1-5x-1'x...

Q: For some function h(x), h'(x)=x^3(x+4)^2 and h''(x)=x^2(x+4)(5x+12). Make sign charts for the first ...

A: Use real number line

Q: Find the x- and y-intercepts of the graph of the equation. Y = 9 2 x-intercept (x, y) %3D y-intercep...

A: Find the intercepts

Q: 3. Determine whether the following series converges, and if so, find its sum. ( a) Σ( u \7 + п(п + 2...

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Q: 5. Use the comparison test or limit comparison test to determine whether the following series conver...

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Q: Consider the curve r= (t,1–2t²,-1-2t?), t= – 1 Find the equation of the normal plane of the curve at...

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Q: 5. Use the comparison test or limit comparison test to determine whether the following series conver...

A: see below the answer

Q: (c) Consider the function h(r) given by the following graph. 구 State the intervals on which it appea...

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Q: 7. A 6-ft tall man is walking away from a 15-ft tall street lamp at the rate of 5 ft/sec. How fast i...

A: Given : A 6 ft tall man and a 15 ft tall street lamp and rate is 5 ft/sec

Q: 1. Suppose a police car drives towards an intersection at a speed of 60 km/h. A red Ferrari drives a...

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Q: Find fy (4,1) if f(x,y) = e^x^2 – 12y fy (4,1) =

A:   Find fy (4,1) if f(x,y) = e^x^2 – 12y fy (4,1) =  

Q: 0 x+1 Show that

A: We need to show that xx+1&lt;ln1+x&lt;x.First we will show that:xx+1&lt;ln1+xthat means, ln1+x-xx+1&...

Q: F(x,y) = (1+ 2xy?)î+ (2x°y +2y)}

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Q: 1. /2х— х2 dx

A: Given ∫2x-x2 dx The given term can be rewritten as ∫2x-x2 dx= ∫2x-x2-12+12 dx so we get             ...

Q: Lets say you stand 30ft from the base of a flag pole. Lets also say that the angle of elevation from...

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Q: 10. Determine the derivative of the function with respect to x. y = sin?(x)

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Q: Determine the volume of the solid beneath the surface z = x^2 + y^2 that sits above the ellipse x2 +...

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Q: Expand into a power series with center zero and determine the interval of 2 – 3x3 convergence. Write...

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Q: Compute the Taylor series of the function around x = 1. F(x) = (x – 3)2 %3D f(x) = %3D

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Q: The speed of a runner increased steadily during the first three seconds of a race. Her speed at half...

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Q: 3 For the following functions, state each value of æ at which there is a discontinuity. Use the defi...

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Q: + 492y – 18y2 + 296 = 0

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Q: sin z sin- is equal to 2

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Q: which of the following is equal to į sin x cos (x) dx ? A cos () + C 3. cos (2x) + C O Option 1 Opti...

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Q: og (x2 + 2x - 8) = 2 + log (x + 4)

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Q: If f(x)=x-4, find f(f(f(f(2)))).

A: Given:         fx=x-4       ffff2 is       ffx=x-4-4          ffx=x-8   then      fffx=x-4-8     fff...

Q: What is the absolute minimum value of g(x)=−2x^2−2x−1 over [−3,4]?

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Q: A box with a square base and open top must have a volume of 32,000 cm3. Find the dimensions of the b...

A: Hair we use the second derivative test If second derivative of function is negative at critical poin...

Q: Determine the third Taylor polynomial of the function at x = 0. f(x) = x + 36 %3D 6 + x2+ x3 1728 12...

A: Topic = Series  Correct option = 1st option

Q: Please choose all answers below and kindly pick the correct letter below.

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Q: Given K < 0 which of the following o will satisfy the R definition that lim x-2 (x + 2)2 = -00? O1. ...

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Q: Jennifer's pension plan is an annuity with a guaranteed return of 6% per year (compounded monthly). ...

A: Given query is to find the amount received per month after retirement.

Q: Give an explanation to the solution   The population of a certain country is known to increase at ...

A: we know that population growth formula A(t)=P0(ekt) where A(t) is population at time t P0 is populat...

Q: The selling price per unit of a product is $30, the fixed costs per month are $12,500, and the total...

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Q: dx (m # 0) mx + h

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Q: 5. Sketch the reciprocal of y= (x- 1)'(x + 3) (x- 4) (Label intercepts, all asymptotes clearly, if t...

A: Given that: y=(x-1)3(x+3)2(x-4)

Q: Evaluate the integral. 3 4 So" F i p² sin o dp dø d0

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Q: 1, 2, 1+4 1+9 1+V16 S =-+-+ 1+ n? 1+ \n +... 12 1+ /8 1+/27 9.

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Q: 12. Consider the differential equation y' = y-y . Which of the following statements is/are true? O T...

A: Given differential equationy'=y−y2

Q: 1. Evaluate the double integral fSp xedA where R is the region bounded by y = 4 – x and y = 0 and x ...

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Q: A pambolk is epening dowawarel bluays har ine a length of latus rectum cqual to 4. The Ventex of thi...

A: Given: The curve at  infinity is parallel  to  y- axis are the vertical asymptotes and vertical line...