y2)dx = xdy when X2 ; Y- 3

Q: If a cup of coffee has temperature 100°C in a room where the ambient air temperature is 20°C, then, ...

A: Solve for average temperature after 40 min. 

Q: Fertilizer is sold in 100 pound bags labelled with the amount of nitrogen ( N), phosphoric acid ( P2...

A:

Q: Identify all singular points and points of discontinuity of the given function. HINT [See Example 3....

A: Since function is not differentiable at x=5  So, singular point is x=5  But function is continuous e...

Q: 8. The cost of producing x ounces of gold from a new gold mine is C = f(x) dollars. a) What does f'(...

A:

Q: dw at t = 4 for the function w(x, y) = e y - In x; x = t 2, y = Int. Evaluate dt O 1 2

A: Given that       w(x,y) = ey - ln x         x = t2 ,  y = ln t 

Q: Use the ratio test to determine whether the series converges or diverges. If the test is inconclusiv...

A:

Q: Identify

A: We will solve the integration. 

Q: — 4т + 10у — 6 2 — 5у — 3

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Q: Evaluate the indefinite integral sin (t)cos (t)dt

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Q: 21. Find y' using implicit differentiation. a) In (xy + x + y) = 2 b) In (sin xy) = xy

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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: Find all the second partial derivatives forf (x, y) = x³y5 + 2x*y.

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

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Q: Consider the following. 2r I+4 f(x) = Use a computer algebra system to find the derivative of the fu...

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Q: Solve ( V42 dx then evaluate the answer at x=-39 and C=34

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Q: O Use a linear approxi mation (differential) to estimate 3999

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Q: Find the intervals in which f (x) = 2x3 + x2 - 20 x is increasing or decreasing.

A: Follow the procedure given below. 

Q: Find the limit of the function along the x-axis xy lim (x.y)-(0,0) x2 + y?

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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: (sec2 0 – sin 0) de sec y (tan y – sec y) dy 1 2

A: Given:- 1. ∫(sec2θ - sinθ)dθ2. ∫secy(tany-secy)dy

Q: 1. Consider the function fx3x+2, -x-6, x>0x<0. Use table of values to find the limit of the followin...

A: The given function,  f(x)=x+2,x&gt;0-x-6,x&lt;0

Q: 5. Prove that lim Show your t→-2 t+2 complete solution.

A:

Q: 4. An analyst has found that Granny's Surf Board Company monthly profit function is: P(x)=-0.05x2 +5...

A: Solution: P(x)=-0.05x2+50x-2000

Q: Given Cost and Price (demand) functions C(q) = 100q + 40000 and p(g) = - 2.6q + 800, what is the mar...

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Q: Show all work. Use your ow 1. Solve the following e a. 3 tan x = tanx b. - sin2 x +3 ce c. 3 cos = 2...

A:

Q: Solve ſ cot3 4x csc² 4x dx then evaluate the answer at x=22, C=26

A: ∫cot34x csc24x dx

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: Verify that the conclusion of Clairaut's Theorem holds for the function: f (x, y) = e*y sin(y)

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Q: Solve dy and Evaluate the answer at y=30 and C=-26

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Q: Use integration by parts to evaluate the definite integral. 8t² In(t)dt Give an exact answer

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

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Q: The population of a city is modeled by the equation P(t) = 434,361e0.15t where t is measured in year...

A: NOTE: Refresh your page if you can't see any equations. . the given equation is  here we have P=1 m...

Q: Consider the following. T/2 3 cos?(0) de State the half-angle identity that can be used to evaluate ...

A:

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

A:

Q: Solve: (3x – 2xy+ 3y)dx = 4rydy (y +3x)(y – x)3 = Ca³ %3D O (y + 3x) (y – x) = Ca³ (y – 3x)(y + x)3 ...

A:

Q: Calculate the derivative of the following function. y=f(g(6x*)), where f and g are differentiable fo...

A: We have to find out

Q: Find all points (x,y) where f(x.y) has a possible relative maximum or minimum. 1(x,y) = - 2x? + 7xy ...

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Q: You start driving away from Morgantown at 12:00. Your distance away t hours after you left is given ...

A:

Q: 16 y = (0, 1) (x + 4)2"

A: Given: - The function is, y=16(x+4)2, at the point 0,1 To find: - The slope of the graph of the give...

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: Given the function f"(x) = -2x(x – 4)(x – 6), what conclusion can be drawn directly from the sign ch...

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Q: A company produces computers. The demand equation for this computer is given by p(q) = - 5q + 6000. ...

A: We have t find the number of units that needs to be produced for making the marginal revenue zero.

Q: A house sells for $81528 at the end of 2010 and for $161637 at the end of 2017.   If the market val...

A:

Q: 8. Sketch the graph of the following piecewise-defined functions. (-2, if x 0 St² +4, if t -4 a) f(...

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Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. 8 ka > 2sin 2 ...

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Q: Determine where the function is concave upward and where it is concave downward. (Enter your answer ...

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Q: Question 2: Compute the derivative of y = arcsin(cos(arctan(r))).

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Q: Graph of f 8. 7. 6. 5. 3. -10 -9 -8 7 -6 -5 -4 -3 -2 -1 3 4 5 8. 10 -1 -2 -3 -4 -5 -6 -8- 6.

A: Solution

Q: Find dy by implicit differentiation. dx x³ + y3 + 2y - 8 = 0 dy dx

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

Q: Katalin rides her bike through a tunnel shaped like the top half of an ellipse. The tunnel is 11 met...

A: