Find the DE of the family of plane curves described and sketch some of its members.

Q: 8. The rate at which ice is melting in a small fish pond is given by dv %3D dt V1 + 2, where V is th...

A: Let's find. 

Q: Given that f(x) = x1°h(x) h( – 1) = 3 h'( – 1) = 6 - %3D Calculate f'( - 1).

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Q: Given r(t) 12ti + 5cos ti + 5 sintk, find the unit binormal vector and torsi =

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Q: V25 - v apa e Jx +4x + 20 xp ck for Understanding

A: integration

Q: |(2 + v=)'dz x) dx

A: integration is:-

Q: Write the function in the form f(x) = (x - k)q(x) + r for the given value of k. %3D f(x) = -4x3 + 6x...

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Q: Estimate the slope (slope = rise/run) of the tangent line to the curve. Ay 10- dp 4 -> -1 0 1 2 3 4 ...

A: slope of the line passing through the points x1,y1 and x2,y2 , m =y2-y1x2-x1.

Q: Write the equation of the parabola in standard form sati 1. Vertex (1, – 9); Focus (- 3, - 9)

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Q: Logarithms as anti-derivatives. 4 ¤(In z)2 Hint: Use the natural log function and substitution.

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Q: Differentiate the following functions. Use any applicable method unless otherwise specified. 4. a. ...

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Q: y' = x +6y

A: 1) Given y'=x+6y  

Q: 6. a. Show that the vector á of b = (3, 1, 4) and ở = (1, 2, –3). (1, 12, –29) can be written as a l...

A: We have to write the vector in the linear combination of two vectors 

Q: I. Obtain the differential equation of the family of curves described and sketch some members of the...

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Q: Determine the slope of the line passing through the given points. Write your answer in exact, simpli...

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Q: Find the linear approximation for f(x)=/1+ x at a=0. Use this linearization to approximate V1.1 O L(...

A: The linear approximation of f(x) at x= a is given by L (x) = f(a) + f '(x)(x - a)

Q: Choose a correct equation for the graph shown below. O A. y = 5 sin (3x) B. y = 10 sin C. y = 5 cos ...

A: We have to choose the equation for the graph .   

Q: COSX (25) Find the area between the curve y= and x-axis and x 1/2, x 1/6 sin x

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Q: Find the average rate of change of the function over the given intervals. f(x) = 8x +8; a) [5,7], b)...

A: We have to find average rate of change of function.

Q: Given the parametric equations, x = 2t + 5 and y = 3t2 - 1, find the point on the graph at time, t =...

A: We can find the point as below

Q: 7. There is a removable discontinuity at x = 1 and f(1) = 4 %3D

A: 7.  There is a removable discontinuity at x=1 and f(1)=4

Q: Sketch the region of integration and change the order of integration. S* * 25 f(x, y)dydx S f (x, y)...

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Q: PC World provided ratings for the top five small-office laser printers and five-corporate laser prin...

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Q: DeAndre and Leah are making origami cranes. Their goal is to complete 1,000 cranes by the end of the...

A: We have to solve given questions on the basics of Given graph.

Q: Solve the equation using the quadratic formula. 4x2 = 2x - 3 The solution set is }. (Type an exact a...

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Q: Form a polynomial f(x) with real coefficients having the given degree and zeros. Degree 4; zeros: 1,...

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Q: #62

A: We have to show that the concentration of salt after t minutes (in grams per liter) and what happens...

Q: An environmental study in a community shows that the level of a certain pollutant in the air is L(P)...

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Q: Finance. Suppose that $7,500 is invested at 5.7% annual interest rate, compounded monthly. How much ...

A: Investment is (P)= $7,500  Interest (r)= 5.7% = 0.057  n= 12 find amount in  A) 6 months , B) in 7 y...

Q: 3. If f(x)=x² – 2x, find the average rate of change (a) from x = 3 to x= 5 (b) from x = 3 to x= 3+c;...

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Q: 5. Determine the value of a such that lim Va-x - V8+x exists. Then determine the value of the x-1 X-...

A: To determine the value of a such that limx→1a-x-8+xx-1...(1) exists.

Q: O Convert the following integral to polar coordinates. Do not evaluate the integral. 1 V1-x² (x + y)...

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Q: Find the exact value: sin 0 = where <0< T. Find: cos 20

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Q: Solve the differential equation: y dt + t (t + y) dy = 0

A: Given that: y2dt+t(t+y)dy=0

Q: Evaluate the following integral. 2 de 1

A: Given that: ∫124-θdθ

Q: Straight lines tangent to the circle x? + y? = 4. %3D

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Q: lim f(x) if f(x) = x--1 if x 2

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Q: Find the domain of x/6x+25

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Q: limit

A: Please refer to the image below

Q: siny dx + (x – sin? y)dy=0

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Q: nd the limit of the following functions. Identify poi 1) lim y→-2 7y3 + 5y2 – 16 у3 — 8

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

Q: y tan x dx + In* ydy=0

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Q: Use the graph to determine the following. a. the function's domain b. the function's range c. the x-...

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Q: Let f(x) = (cosh x)² be defined on (0, 0), find %3D d 1/2) . dy

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Q: In this activity, you are going to supply what is being asked in each item. Use the given figure of ...

A: Given that: Graph of an ellipse.

Q: Kindly show illustration and solution. The highway department is planning to build a picnic park fo...

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Q: The polynomial of degree 5, P(x), has leading coefficient 1, has roots of multiplicity 2 at x=5 and ...

A: NOTE: Refresh your page if you can't see any equations. . x=0 with the multiplicity of 2 so the firs...

Q: find an equation of the curve that satisfies (dy)/(dx)=45 yx^14 and whose y-intercept is 2 y(x) =

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Q: Form a polynomial f(x) with real coefficients having the given degree and zeros. Degree 4; zeros: 5-...

A: Find your answer below 

Q: Solve the differential equation: 1 + Vx² +r? ) dx 2 xdt

A: Let's find. 

Q: A sequence a1, a2, a3,.... satisfies the property that an+1 is the average of the first n terms if n...

A: We have to find a2 .