Find the lines that are tangent and normal to the curve at the given point. x²y? =9, (1,3) The line tangent to the curve x*y = 9 at (1,3) is y =L|

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A: The objective is to solve the above series. 

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A: To evaluate: 2) I=∫dx7+x2...(1)  

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A: topic - differential equations

Q: Given Cost and Price (demand) functions C(q) = 120q + 40000 and p(q) = - 2.9q + 900, what is the mar...

A: NOTE: Refresh your page if you can't see any equations. .   the given cost is C=70000

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Q: Simplify the expression: 3(1 + 7g) %3D Submit

A: Given :3(1+7g)

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A: (Sec²(theta)-1)/sec²(theta) =tan²(theta)/sec²(theta) =(sin²theta/cos²theta)×cos²theta =Sin²(theta)  ...

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A: Given :e2p-et=p+tTo find: p'(0)   

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Q: Identifying The Characteristics of a Logarithmic Function Complete the table below for the Logarithm...

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A: Here, the given equation is: log4(5)+log4(a) Note that: logpx+logpy=logp(xy)...(1)

Q: 1. Show that the equation represents a sphere, and find its center and radius. 7 + g +7+% – 8G + He ...

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Q: Find the interval of convergence. 00 (x +4)" Σ (n In(n))? n=2 (Use symbolic notation and fractions w...

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Q: dy What is the general solution to the differential equation dx cos x+sin x 2y for y > 0 ? A cos x+s...

A: topic - differential equations

Q: 7. The function (x, y)= (2x* + y* )exp + xy' is homogenous in x and y of degree

A: .Given,f(x,y) = (2x4+y4) ey2x +x y3Put y= xSo we get,f(x,x)= (2x4+x4) ex2x +x x3 f(x,x)= (3x4) e0.5 ...

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Q: You deposit $2000 in an account with 6% annual compound interest. Complete the following, assuming y...

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Q: A 5000 L tank is initially filled with pure water.  A copper sulfate (salt) solution of 100g/L flows...

A: NOTE: Refresh your page if you can't see any equations. . y=amount of salt at time t  .................

Q: 2. (a) Find the derivative of f(x) = 2x2 – 2x + 2 from first principle sin x (b) If y = x + find x4 ...

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Q: mpQ -0.1 -0.01 -0.001 -0.0001 0.0001 0.001 0.01 0.1 slope Previous

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Q: y The function f(x, y)= (2x* + y* )exp + xy' is homogenous in x and y of degree 2x

A: Follow the procedure given below.

Q: Use a linear approximation (or differentials) to estimate the given number. e0.015 Step 1 To estimat...

A: NOTE: Refresh your page if you can't see any equations. . the given number is  here the given numbe...

Q: Consider the polar equation r- 4 cos(0) – 13 sin(0). (a) Convert the given polar equation to a Carte...

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Q: Evaluate the TV100-x²dx

A: Topic = Integration

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A: We will differentiate y and put in the equation and then will find the value of r.

Q: For each statement, indicate if it is True or False. Assume x and y represent positive values. v log...

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

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A: e.)  P(t) = 2(t) + 10 (for showing whole questions are required or you may see the solution from a t...

Q: 2. y"-7y'=(2x-1)sin 2x

A: Given,y" - 7y' = (2x-1) sin2xNow substituting the value:y" = D2yy' = DyD2y - 7Dy = (2x-1) sin2xD2y -...

Q: 4) Determine whether the improper integral diverges a) fx'e *dx or converges: 1 b) J (7x +1)³ 1

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Q: 3. Separation of Variables: x(y+1)dx+ dy = 0

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Q: Let f(r) be the function 6r2 /(5+h)-f(5) 5x +9 Then the quotient can be simplified to ah + b for and...

A: Given query is to find the value of a and b.

Q: Find the general indefinite integral. (Use C for the constant of integration.) (u + 9)(5u + 6) du

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Q: Shown above is a slope field for which of the following differential equations? dy A dæ B dy = y – 1...

A: Follow the procedure given below.

Q: Consider the polar equation r = 9 +4 cos whose graph is shown below. (a) What is the distance betwee...

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Q: Find the derivative of the function. y = cos V sin(tan(3x)) y' = Need Help? Read It Watch It

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Q: Consider the initial value problem and find the solution: y'' + 4ay' + (4a2 +1)y =0    y(0)=2,   y'...

A: We will use that if ax2+bx+c=0 is equation than x=(-b+(√b2-4ac))/2a and x=(-b-(√b2-4ac))/2a.

Q: Properties of Exponents Which of the following are TRUE regarding f(r) = log, x (b > 0 and b ± 1)? C...

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Q: Stanley measured a county park and made a scale drawing. The picnic area, which is 120 yards long in...

A: The length of real park=120 yardsThe length in drawing=270 inches

Q: 8. im e* 2x 9. lim e* 10. lim e* x+00 x00 sin 6x 11. lim 5*+6 12. lim

A: As per guidelines we can solve only one question at a time so if you need more answer kindly repost ...

Q: The position of a bird flying along a straight line with s in meters and t in seconds is given by s(...

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Q: Given Cost and Price (demand) functions C(q) = 110q + 45000 and p(g) = - 2.8q + 900, what profit can...

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Q: 7. Find the limit of the following. a. lim(2x² - 4x + 7) b. lim X-5 X-4 x+2x -Sz-2x+4 c. lim x2 x-4 ...

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Q: Find the average rate of change of the function over the given interval. y=4x+ 1; between x = 2 and ...

A: given :y=4x+1    between x=2 and x=12

Q: Use Simpson's Rule and all the data in the following table to estimate the value of the 10 integral ...

A: Simpsons rule

Q: dx 3. Evaluate f x(1+In² x) sec? xdx 4. Evaluate f - V1-tan? x

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Q: x2 2. Find lim x→0 2ª – 1

A: We want to find limit of the function.