Use implicit differentiation to find and 3yz? – x In(yz) = z. - dx dy

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Q: 17. Determine the equation of the family of orthogonal trajectories of the the family of curves defi...

A: Given; y2=2x+c Now differentiate the given function with respect to x. ddxy2=ddx2x+c2y2-1dydx=ddx2x+...

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A: Follow the procedure given below.

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Q: PLEASE HELP ME ANSWER WITH SOLUTIONS 5,6 1. A rectangular page is to contain 50 square inches of pr...

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Q: dy using the chain rule in formula (1). State your answer Compute in terms of x only. 37. y = u2, u ...

A: As you have asked for the solutions of  question 37 and 39 only, so I am solving those only. Thank y...

Q: Sxe dx -X-

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Q: C. Find the values of the constants c and k that make the function continuous at every number. [3x +...

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Q: 4. * S sec? (4t) (3 – tan(4t)) dt 1 (3 – tan (4t))* + C (3 – tan (4t))* + C 16 - - B. 1 (3 – tan (4t...

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Q: Solve the given initial-value problem. The DE is homogeneous. xy? dY = y3 - x³, y(1) = 3 dx Submit A...

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Q: Verify that the function u = is a solution of the three-dimensional Laplace equation u xx + uyy + Uz...

A: We have been given that u=1x2+y2+z2Take partial differentiation with respect to x, we getux = -x(x2+...

Q: The orthogonal projection of v = 10i on b = -3i + jis <

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Q: Which of the following is the general solution to the differential equation t dy = 6te2 + y(2t 1) ? ...

A: Given:- t dy/dx=6te2t +y(2t-1)  To find:- General solution of given differential equation

Q: *Related Rates dy dx A. Directions. Find the required values of and assuming that x and dt dt y are ...

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Q: S cos(3z)sin1º(3z) dz C 1 (cos (3z))10 + C 3. (sin(3z))10 + C D 1 (cos (3z))1 + C 33 (sin(3z))'l + C...

A: Topic = Integration

Q: The graph to the right is a complete graph, that is, it is continuous and displays the function's en...

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Q: 3. Expand the binomial; (x – 1)5

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Q: A drill sergeant lines up 92 soldiers in rows of 12, except for a partial row in the back. How many ...

A: there are 7 rows excluding the partial row. and there are 8 soldiers in the back row.

Q: 17. Determine the equation of the family of orthogonal trajectories of the the family of curves defi...

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Q: Find the general solution of the given differential equation. dr +rsece do o cose

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Q: Find the differential of the function. et ex - 9 dy = %3D

A: Topic = Derivtive

Q: The polynomial f(x) given below has -3 as a zero. f(x) = x³ – 7x² – x + 87 - Find the other zeros of...

A: As You have provided one zero then we write the cubic function as product of a quadratic function an...

Q: 1 A barge, whose deck is 10 ft below the level of a dock, is being drawn in by means of a cable atta...

A: Please refer to the image below

Q: 6. According to Newton?s Law of Cooling, the rate at which a substance cools in air is directly prop...

A: Find your answer below 

Q: 12. A closed rectangular box with a volume of 16 ft is made from two kinds of materials. The top and...

A: Given

Q: The Value of the Variablex that ful fills the la Fo llowing eauation %3D

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Q: Radium decomposes at a rate proportional to the amount present. If half of the original amount disap...

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Q: (e) Use a backward finite difference approximation to approximate the first derivative of the follow...

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Q: d-n Let c and d be two positive numbers, and a, = (1 + Use the strategy from Example 8 (on page 583)...

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Q: 3. Old McDonald has a farm with 30 chickens. The chickens comprise 40% of his farm, and the rest of ...

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Q: of (x)} = h %3D a Find leughth

A: Length=integration of  square root of 1+(f'(x)) 2

Q: Find the Taylor polynomials of orders n = 0,1, 2, 3, and 4 about x = x0 and then find the nth Taylor...

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Q: Q2: Define whether y represent as a function of x a) -5x? + y = 12 b) -2x + y? = 3

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Q: Evaluate the derivatives of the following functions using implicit differentiation. 1. x3 + y3 - 3ax...

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Q: Determine the value of the following limit, if it exists. If infinite, specify either o or -o. (If a...

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Q: S sin*x cos³ x dx sin³x sin'x + C 7. C sin*x__sin'x 7. B sin x cos'x. + C 7 sin x cos'x - + C 7. O E...

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Q: Suppose {an} and {bn} are two sequences. Which of the following statement(s) must be true? O If {an}...

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Q: Let {a,}1 be a convergent sequence defined by a1 = V5 and an+1 = V5a,. Find lim a,.

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Q: A company produces a special new type of TV. The company has fixed costs of $474,000, and it costs $...

A: This question can be solved using the concept of cost function, revenue function and profit function...

Q: (x)=6x3 1. 3F(1) - 4F (-1) 2. F ( x+h)-F (x) 3. F(h)/h

A: Given f(x)=6x33f(1)=3*6*1=184f(-1)=4*(-6)=-243f(1)-4f(-1)=18+24                          =42

Q: 3x? – 17x + 20 lim 44x2 - 25x + 36 Vx+5-2 lim x+1 Vx2 + 3 - 2 lim --1 x2 - 1

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Q: Find the inverse function of f(x) = V36 – x²,0 sx 6. %3D f-'x) = V36 + x², 0 < x < 6 O f-x) = 36 + x...

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Q: Find and sketch the level curves f(x,y) = c on the same set of coordinate axes for the given values ...

A: This is a question of curve plotting of the function for different value of c. Given equation is of ...

Q: At 9:00am a thermometer reading 70° F is taken outdoors where the temperature is 15°F.At 9:05am, the...

A: Newton's law of cooling is;dTdt=-k(T-Ta)dT(T-Ta)=-k dt(T-Ta)=C e-ktT=Ta + C e-kt

Q: 21. The complementary solution, Ye, of the equation y" + 2y" + y = 10 is (a) ye = Cie-* + Cze- + C3 ...

A: The given equation is; y"'+2y"+y'=10.

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) Vi + t2 lim t- o 9t - t2

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