A. (1+ 4xy – 4x² y) dx + (x² – æ³) dy = 0 | - B. (y – sin? x) da + sin æ dy = 0

Q: 13. The cost of a data plan is $45 a month, plus $0.40 per gigabyte of data downloaded. Let f(x) be ...

A: Given: $45=fixed Cost of data plan$0.40=variable cost of data per gigabyte or gb$2=fixed part of con...

Q: [3 – x2, – 1< x < 2 20. If f(x) discuss its continuity and differentiability. %3D 2x – 4, 2 <x< 4

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Q: ind the area of the region bounded between the curves (make sure you draw the picture). -2x =) y = e...

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Q: 26. Find the area of the region bounded by the curve y = 4x – x?, the lines x = 1 and x = 3 and the ...

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Q: Of inter SECtion 'of thie plánes 2x+y-32=14 delete 2. Find the canation of Hhe plane Containing the ...

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Q: Solve the following equation for x. log5(2x) + log5(3x) = 2

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Q: 27 The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) ...

A: Given query is to find the height of the ball when it's fall with the rate of 120 ft/sec.

Q: 9. Find the (f o g)(x) and (g o f)(x) of f(x) =a and g(x) = 3x+2

A: fx=x3x+2 and gx=2x

Q: Question 1 Let R be the rectangle {(x, y) :0 < x < 3,0 < y < 1}. Let D be the region bounded above b...

A: Solved below

Q: 3. 2t t dt ST-t

A: To integrate the given vector function. ∫te2t, t1-t,11-t2dt...(1)

Q: Solve the given differential equation (3x-3y-2) da – (x – y+ 1) dy = 0 %3D | |

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Q: e3x (1 – 2e3x)2

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Q: 1. Let R be a relation on the set A = {1,2,3,4,5,6,7,8} defined by aRb if and only if 2a/b?. That is...

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Q: For f(x, y) = 2x3 + x²y? – 5ya + 10, Find fgi Find fax: Find fxy

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Q: B. A discrete random variable X has the lollowing probability distribution: 1 1 2 P(X) y 9. 9. 1. Fi...

A: use the basic  property of probability 

Q: 14. Evaluate the following limits. a) lim (x² + 2x – 3) X-0 b) lim (x3 – 2x² + 3x + 4) X-

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Q: 4. y = sin(cos 3x) – sin x cos 3x

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Q: Acceleration of a Car The distance s (in feet) covered by a car t seconds after starting is given by...

A: Given problem:- Acceleration of a Car The distance s (in feet) covered by a car t seconds after star...

Q: ITEMS: Evaluate the following integrals. 1. / e* cos(2x) dx

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Q: GENERAL INSTRUCTIONS: 1. Find the Indefinite Integral 2. Show your solution legibly on a short bond ...

A: Since we are given with multiple number of questions and our guideline is solve the first question o...

Q: Compute the first three non-zero terms of the Maclaurin Series for f(x) = sin-1 x

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Q: Question 15 15. The first derivative of the logarithmic function f(x)= In (e +3) is 1 A e +3 B e +3 ...

A: Topic:- application of derivatives

Q: sin x dx 2- cos²x CoS

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Q: How much work is done lifting a 10 pound object from the ground to the top of a 30 foot building if ...

A: Given :   Cable weight used 2.5 pounds per foot

Q: • Evaluate the following: 1) S (5 cos x - 4 sin x ) dx cos x 2) S dx sin? x 3) S (4 csc x cot x + 3 ...

A: ?As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly repost oth...

Q: 36) -24i + 32j

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Q: 25 The function f is shown below. What is the value of i/ f(x) dx? Write your -4 answer in simplest ...

A: This question is related to definite integration, we will solve it using given information. 

Q: 2. Parabolic tangents and peculiar perpendicularities! a. Let la and lo be tangent lines to the para...

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Q: 3. S sin(3x) cos(5x) dx

A: To evaluate: I=∫sin (3x) cos (5x) dx

Q: Determine the global extreme values of the function f(r, y) = 4x³ + 4x²y + 2y², x,y > 0, x + y < 1

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Q: Given the function f(x) = 2x + 16x° + 36x, determine all intervals on which f is both increasing and...

A: f(x) is both increasing and concave up in interval from 0 to infinity...as I have done solution in d...

Q: 3. a) Use the Chain Rule and the fact that |x| = Vx2 to show that d dx |x| b) Sketch the graphs of t...

A: We will use the give solution as we are instructed.

Q: If you already know lan and |v], then the formula an = K|v gives a convenient way to find the curvat...

A: Please follow step 2 . 

Q: Use sigma notation to write the Taylor series about I = 6 for the function. 1 Σ

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Q: 19. Differentiate the following functions. g) y = 2 h) y = xsin-1x+ V1- x2

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Q: 19. Differentiate the following functions. a) y = (3t2 + 2)(3t² – 2t + 1) 12-4t+4 t2-5t+6 b) s=

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Q: Question 3: Suppose that H = xy + V3x2 + 4y?, and at t = 0 (initiation) we have r = 1, y = 1, H = 6,...

A: Let's find. 

Q: The point P (2,3) lies on the ellipse 8a² + 2y² = c. Determine the value of c and write the point-sl...

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Q: Integral of | 4sinxcos cos |dx 1. J sin 9x cos4x dx J cos 2x cos (-x)dx 2. 3.

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Q: 16-X - 13 - 13 10-x x E 10 = 3.66 m

A: Given: 10-xx=3  ..1

Q: Find the range of values of x for which y = x3 + 5x2- 8x + 1 is increasing.

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Q: Question 3 The exponential distribution is a probability distribution that describes the time needed...

A: Given: p(x)=Ce-x11x≥00x&lt;0To find the value of constant  C:

Q: If z = x sin y + y sin x a2z then дхду

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Q: 4.Sin3x-sinx CoS X S Sinx(Sin?x-)) Sini(sinni1). Sin ?x. tanx (sin zx -1) $in=t1 COS tan-o

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Q: 2ayda + (y 2 - x2) dy = 0 %3D

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Q: Let us try to find where a function is increasing or decreasing given the following.  f(x) = x3−4x,...

A: Topic:- calculus

Q: az Use the Chain Rule to find at for z = In(x? + y), x = st, y = t/s.

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect ...

Q: 1. Consider the function f (x) = {-x – 6, x 0 %3D Use table of values to find the limit of the foll...

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Q: dy = ay + b whose dt Write down a differential equation of the form solutions all approach y 3 as t ...

A: Given,dydt= ay+bdyay+b = dtLet  ay+b=zdifferentiating both sides       a dy = dzSo,dzaz=dt1a. dzz=dt...

Q: (2æ + 3) = y+ y (2x + 3)i

A: