Find and sketch the domain of the function. f(x.y) = Vy - 2x- 6 ... Find the domain of the function. Express the domain so that coefficients have no common factors other than 1. Select the correct choice belo necessary, fill in the answer box to complete your choice. O A. The domain is all points (x.y) satisfying = 0 O B. The domain is all points (x,y) satisfying >0 O. The domain is all points (x.y) satisfying 20 O D. The domain is all points (x.y) satisfying #0 O E. All points in the xy-plane. Choose the correct sketch below. The domain is shaded in yellow. O A. OB. OC. OD. Q

Q: equal y(2xy+ 1) = x y' ind the integrating factor. Choose your answer from the choices below. * 1 IF...

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Q: A boy is flying a kite at a height of 150 ft. If the kite moves horizont ally away from the boy at 2...

A: Topic = Triangle

Q: The particular solution of the differential equation y" – 6y' + 5y = -9e2* is O 2e^2x Зе^2x e^x

A: y"-6y'+5y=-9e2xf(D)=D2-6D+5since f(D)y=Q ; Q =keaxhence k=-9 , a=2particular integral isgiven by :yp...

Q: Determine the focus and directrix of the parabola with the given equation. Sketch the graph, indicat...

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Q: 3n an = 8n + 13 For the following answer blanks, decide whether the given sequence or series is conv...

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Q: Suppose f(a) 3D (х — 3)(ӕ + 7). a. Solve (x – 3)(x + 7) O for x. Preview b. What are the roots of f?...

A: Explained below 

Q: A train travels along a set of tracks according to the function s(t) = --+ 212 + 5t +4 where /2 0 is...

A: Idea: Interval in which train slowing down is nothing but the intervals in which the function is dec...

Q: x 2 x = 2 cx + 9, d Find the values of c and d that make f(x) continuous at x=2. c= d= (If the valu...

A: Topic = Functions c=5 d=19

Q: Use sigma notation to write the Taylor series about x = xo for the function. In x; xo 1 EO (-1)*+1 (...

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Q: 3. Find the equation of the curve at every point of which the tangent line has a slope of 4.x. (a) y...

A: Topic = Differential equation Correct option = d

Q: Determine whether the alternating series converges. 7ln k k k=3

A: This is a problem of series calculation. By using several test method we can decide whether series i...

Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. Zk=1 (-1) k +1...

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Q: 7.2. +4 7.2. 1- 'y'+ 16

A: Using integration formula,

Q: 5. * S sin(1 – x) (2 – cos(1 – x))* dx A C (2-sin(1-x)5 +C (2-sin(1-x)5 +C+ D. (2-cos(1-x)5 +C (2–co...

A: topic - indefinite integral

Q: 8. Determine the general solution of the the differential equation: (x + y)dy = (x – y)dx (a) x² – 2...

A: Put y=vx and solve it. 

Q: 7. Which of the following is a differential equation with homogeneous coefficient? (a) (y² – Væ² + y...

A: To determine which of the following is a differential equation with homogeneous coefficient.a y2-x2+...

Q: 5dx Evaluate the æ(x+1)° O a. Ina + In (æ +1) + 5 +C O b. Ina – In (x + 1) – а. 5(x+1) 1 + C 5(x+1) ...

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Q: Read the following definition and example carefully, and then answer the question below. We say (for...

A: The grumpy matrix is a matrix with non-zero and negative eigen values.    The eigen values are the f...

Q: . A hemisphere with radius 5 cm was cut by a plane, parallel to the base, which passes through its c...

A: In order to find the larger volume part we need to calculate the volume of any one part by that we c...

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: « (x - })" 2. Calculate the fourth term of

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Q: Graph the set of points whose polar coordinates satisfy the equation 0 =- Choose the graph that repr...

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

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Q: Determine whether the series converges using the Ratio test. The series diverges Save for La converg...

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Q: A particle moves along the x-axis so that at timet >0 its position is given by æ(t) = t - 24t?. Dete...

A: Given: x(t)= t4-24t2

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: Find and sketch the domain of the function. f(x.y) = Vy - 4x - 8 Find the domain of the function. Ex...

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Q: Given revenue and cost functions R(g) = 90g - 0.2g and C(g) = 13g + 500, find the quantity when prof...

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Q: Find the indefinite integral using the substitution x = 5 sin(0). (Use C for the constant of integra...

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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+...

Q: You are planning to make an open rectangular box from an 8-in.-by15-in. piece of cardboard by cuttin...

A: Given query is to find the dimensions of the box.

Q: Evaluate the following limits 2x2 – 3x + 2 1) lim x-3 2x3 - 3x + 1 z2 – 25 2) lim z--5 z+5 x² – 3x –...

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Q: differential equations solve by integrating factors found by inspection y(x^3-y)dx-x(x^3+y)dy=0

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Q: 7. How many different 3-digit numbers can be formed using the digits 1, 2, 3, 4, 5 and 6 if the digi...

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Q: A farmer plans to fence a rectangular pasture adjacent to a river. The pasture must contain 500, 000...

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Q: Determine the values of a for which the system has no solutions, exactly one solution, or infinitely...

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Q: e" dx 7.3. J- 1-e 2x

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Q: rotate the region bounded by y=sqrt(x), y=3 and the y-axis about the y-axis

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Q: 12 5. Find the middle term in the expansion of; 6. A safe uses a code that is made up of two letters...

A: in multiple question we are only allowed to answer only first question or three sub parts .

Q: 12 Using analytical method, the root of the given f(x) is (5 Points) x2 + 12x - 12 0.9382032303 0.93...

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Q: The solution of the non-exact differential equation 2ydx + (3y- 2x)dy = 0 is O (2y/x)+Iny=c O (2x/y)...

A: topic - differential equations

Q: Set up a definite integral with respect to y (dy) (set up only, do not evaluate the integral) to fin...

A: Using double integration

Q: Compute the value of the following improper integral. If it converges, enter its value. Enter infini...

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Q: Find the first partial derivatives of the funct f(x, y) = x8 + 7xy5 fx(x, y) =

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Q: A large mixing tank initially holds 1000L of brine in which 25kg of salt was dissolved. Another brin...

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Q: 10203040-10102030405060-10 You are a lifeguard and spot a drowning child 40 meters along the shore ...

A: Follow step 2 and 3.

Q: 1. (a) Use the given values for f(x) and g(r) to fill in the following table: f(z) g(z) f(9(x)) -4 -...

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Q: iv. f(0) = Preview v. lim f(x) = x→7 Preview vi. lim f(x) x→7+ Preview

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Q: 4. Find (a) the gradient of f at P and (b) the rate of change of the function value in the direction...

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Q: 1 (a) Use the trigonometric substitution x=5 tan 0 to calculate the indefinite integral dx. Show you...

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