If 5æ? + 3x + xy = 1 and y(1) = -7, find y'(1) by implicit differentiation. y(1) =

Q: s.cloud/modules/unproctored les A bicycle with 20-inch diameter wheels is traveling at 14 mi/h. Find...

A: A bicycle with 20 inch diameter wheels is traveling at 14 mi/h. Find the angular speed of the wheels...

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Q: Find the following antiderivatives. a. ∫(3x^4-cosx)dx b. ∫(5^3sqrt(x^2) + 2x-1)dx c. ∫((1/x^3)+5)...

A: ∫xn dx = xn+1n+1+C. ∫ax dx = axloga+C

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A: The center of the circle is (0,0). And it is symmetrical to the origin. The portion on quadrant II a...

Q: 6- The Conjugate of 4+3i =-(4+3i)

A: The objective is to find the conjugate of (4+3i).

Q: Consider the following equation. 2x? - y2 = 7 (a) Find y' by implicit differentiation. 2x y' = y (b)...

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Q: (a) Find the differential dy of y= /4+ 5x. (b) Evaluate dy for æ = 0, dx = .04. (a) dy dx (b) dy =

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Q: 2. Find the equation of the normal line to the graph of e" tan(xy) – In(x² – 3y) = sin (Tx) - at the...

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Q: Find the intervals on which f is increasing and decreasing. f(x) = - 3 sin x on [- 7,7] Select the c...

A: topic - application of derivatives

Q: Evaluate the following limits:  lim x→0 sin(3x)/5x^3-4x

A: limit

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Q: an+1 . Recall the special case of the ratio test, which is inconclusive if lim equals one. Prove an ...

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Q: 10. An electric scooter manufacturer estimates that the cost C (in dollars) of producing x scooters ...

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Q: What is the value found using Δy≈f ′(x)Δ​x?  √5=

A: answer of given question is in step 1

Q: Find a general solution of y" (-2-2 i3)y. y(x) =

A: The given differential equation is  y'' = (- 2 - 2i√3)y or, y'' - (- 2 - 2i√3) = 0 or, (D2 + 2 + 2i√...

Q: ....... Find the point of intersection of the line through (1, -3, 1) and (3, -12, 6), and the plane...

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Q: 11. Evaluate dr if possible. If not possible, explain why.

A: We will evaluate the given integral in the following step  

Q: What value(s) of c, if any, will satisfy the IVT for the given function f and the given value m, on ...

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Q: lim(32x-3 + 5) X4

A: The given limit,        limx→432x-3+5

Q: Using the second derivative test, determine the relative extrema of the function f(x)=1/3x3-2x2-5x

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Q: A series is the sum of the terms of a sequence. To indicate the sum, we use sigma E notation. Write ...

A: Solution:Given geometrical series1+3+9+27+81+ ......1+3+32+33+34+.....∑3nn=0∞

Q: 3 Given the function f(n) = 2n – 6n³ – 8n? - its f-intercept is its n-intercepts are Question Help: ...

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Q: A series is the sum of the terms of a sequence. To indicate the sum, we use sigma E notation. Write ...

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Q: 9. Let a be a positive value. State the integral test, and use this to determine whether ). -an e n=...

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Q: 45. s 2 2 sin t -

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Q: how the derivation of formula for the conversion from spherical coordinates to rectangular pordinate...

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Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 6j as a...

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Q: During the first couple weeks of a new flu outbreak, the disease spreads according to the equation I...

A: We have to find the rate at which the infected population is growing after 10 days.

Q: Given the given cost function C(x)=4850+780x+1x2C(x)=4850+780x+1x2 and the demand function p(x)=2340...

A: Given problem:- Given the given cost function C(x)=4850+780x+x2 and the demand function p(x)=2340   ...

Q: Find the extrema of the following function on the given interval, if there are any, and determine th...

A: Given: fx=4x2-8x+5  & -2,2   The Power law: ddxxn=nxn-1

Q: What

A: We will find sine and cosine values for given angle. 

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A: We have to find the monotone intervals, relative extrema.

Q: sin100

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Q: 0 < 0 < In 3 1.arc length of a spiral: = 20 , where %3D

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Q: Find the angle between two vectors by using cross product (V,xV2) V, = 3i + 9j + 6k V2 = i + 3j + 2k...

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Q: .. Find two vectors in opposite directions that are orthogonal to the vector u. (The answers are not...

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Q: In the quadratic equation problem a student made a mistake in copying the coefficient of x² and got ...

A: Given problem:- In the quadratic equation problem a student made a mistake in copying the coefficie...

Q: Find the area of the triangle with vertices P(1, 6, –6), Q(0,0, 0) an R(2,4, 1). NOTE: Enter the exa...

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Q: Consider f(x)=tanx a. Find the linear approximation of f(x) at a=pi/4 b. Use this to estimate tan(...

A: This question can be solved using the formula of linear approximation.

Q: In a certain culture of bacteria the rate of increase is proportional to the number present. a. If i...

A: Explained below 

Q: sec* (2t) dt tan° (2t) cot (2t) cot (2t) + c cot*(2t) cot°(2t) + c C. 12 16 12 16 1 16 tan (2t) + c ...

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Q: The graph of the following function has two slant asymptotes. y = V 25 + 16x2 Find the equation of e...

A: NOTE: Refresh your page if you can't see any equations. . now asymptote is in the form of 

Q: (a) Find the critical points, if any, of the following function on the given interval. (b) Determine...

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Q: 00 (2x -3) For what values of x does the series converge? n! n=0 x = only B 1< x < 2 only 1<x < 2 on...

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Q: Write an integral that is equivalent to f (4x) 4 a = b = f(u) du sSubmit Answer a

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