ns are on pougop at ang syo! sacop of patient solut y=u²+ v², x = u² − v², 'Rax = z

Q: Find the gradient of the function y at x = 4.

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Q: Find the domain of the function using interval notation. f(x) = -2x (x-2)(x-7) To enter oo, type…

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Q: 23. y = 2 x² + 1 x² - 1 3

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Q: y"" y'=sin(3x)

A: The given differential equation is:y'''-y'=sin(3x)

Q: Find the critical points of the function x3 ² + 2x² - + 2x² - 12x. 3 Use a comma to separate…

A: for critical points  f'(x)=0d dx(xn)=nxn-1

Q: Replace ​? with an expression that will make the equation valid.   d/dx (3 − 4x2 ) 5= 5 (3 − 4x2 )4…

A: let y=(3-4x2)5

Q: Find the area under y = x(e)^(-x)^(2) for x > 1

A: The given curve y=xe-x2 We have to find the area under the curve for x>1.

Q: Use polar coordinates to find the volume of the solid bounded by the parabolas z = 3x² + 3y² and z =…

A: The solid is bounded by the curves:z=3x2+3y2        and          z=4-x2-y2

Q: If I cut a Pizza into 2 equal pieces, How long is the crust(circum.) is each piece??? Smidget Radius…

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Q: For each item, use Desmos to graph the given equations and shade the plane region bounded by the…

A: Area of a region is bounded by curves is given by A=∬dydx

Q: 1. ) Obtain the differential equation of the family of plane curve described and sketch at least 5…

A: We know slope intercept form of line ⇒y=mx+c

Q: Find the solution of the given initial value problem. ydx + x(ln x - ln y - 1)dy = 0 y(1) = e.

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Q: An engineer is building experimental, dome-shaped living quarters 33 m high and modeled by the…

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Q: 39. y = (cos x)*

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Q: At what point (x, y) is the function f(x) = -4x - 9 closest to the point (3, 1)? Enter an exact…

A: To determine the point on the function which is closest to (3, 1)

Q: The table below shows the six basic solutions to the following e-system. 2x₁ + 3x₂ +5₁ = 18 4x₁+3x2…

A: Solution : From the given table it is clear that the pairs of (x1, x2) are

Q: Solve the following differential equation: [e2y − y cos(xy)]dx + [2xe2y − x cos(xy) + 2y]dy = 0

A: e2y − y cosxydx + 2xe2y − x cosxy + 2ydy = 0

Q: Evaluate each expression, using the values given in the following table, X (a) (gof)(-2)- (b)…

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Q: Find the most general function M(x, y) so that the differential equation below is an exact…

A: Let's solve given diffential equation.

Q: Solve: dy/dx = −(y − 27) ^2/3 , with y(0) = 91. Express your answer as y=f(x).

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Q: 5/136 A cable weighing 25 newtons per meter of length is suspended from point A and passes over the…

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Q: Let U = 3i−j−4k and V = −2i+4j−3k. Show that U·V is commutative but U×V is not.

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Q: Find the sum of the first 14 terms of the geometric sequence 1 9,  1 3, 1,   . (Round your answer…

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Q: [6 6x ln (x + 5) dx

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Q: 8. Find an equation of the parabola with vertex at (-1,4) and y=5 as the line of directrix. Draw the…

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Q: Determine the convergence or divergence of the series and identify the test used. Σ η = 1 1 3-2

A: The given series is  convergent .Solution is given below.

Q: 33-41 Use logarithmic differentiation to find the derivative of the function. 33. y = (2x + 1)³(x² −…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: (c) Find the value of √a²-x² [₁ 2(x + y) x² + y² giving your answer in terms of a. 1+ -dx dy,

A: The given integral is:∫0a2-x2∫-aa 1+2(x+y)x2+y2 dx dy

Q: dy (y-1)√y²-2y-3 S.

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Q: n^3/n^3

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Q: ton = 15/8 where Toz Ø180 Find cos20

A: Please see the below picture for detailed solution.

Q: For what values of the numbers a and b does the function f(x) axebr² have the maximum value f(1) =…

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Q: 2. Convert the following standard a. (y + 1)² = -2(x + 2)

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

Q: Find and classify the stationary points of f(x, y) = (x² + y)e/2.

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Q: SHOW COMPLETE SOLUTION Find the points of intersection between the circle (x-2)²+(y-6)² = 40 and…

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Q: 5. Find the equation of a parabola with vertex at the origin whose properties are given below. a.…

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Q: Consider the function f(x) whose second derivative is f''(x) = 3x + 8 sin(x). If ƒ(0) f'(0) = 3,…

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Q: Find sin 2x, cos 2x, and tan 2x if sinx = - sin 2x cos2x tan 2x = 11 0 0 2 √13 and X terminates in…

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Q: SHOW COMPLETE SOLUTION A right circular cylinder is given. A slice perpendicular to the bases…

A: As we know that Volume of a right circular cylinder is πr2h, where r and h are radius and height of…

Q: eah expressi 36 Si=1/3180° < 0 <3·10° 0 ter 0 312=80 Simplify 3

A: Given that:sinϕ=-13 ;           180°&lt;ϕ&lt;270°

Q: 1 1 Calculate the gradient of h(x, y, z)=33 Vh= ← 1

A: calculate the gradient of h(x,y,z)=1x2.1y3.1z3

Q: Obtain the general solution by the indicated technique: 1.2 (3x-1)y'=6y-10(3x-1)³ ; linear equation…

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) J- sin(2x) 14 + cos²(x)…

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Q: At what point (x, y) is the function f(x) = 8x - 3 closest to the point (3, -6)? Enter an exact…

A: To determine the point x, y on the function fx=8x-3 is closest to the point 3, -6.

Q: In step 3, how did you know to use yp = ( 1 / (D^2 + 9) ) 4sin(2x)?

A: The given initial value problem y''+9y=4sin(2x), y0=1, y'0=1. We have to find the solution of the…

Q: If y = x4 + 2x, find the values of delta y and dy when x = 2 and dx = 1

A: Please see the below picture for detailed solution.

Q: Calculate the gradient of f(x, y) = cos(x² + 3y) Vf= A

A: To calculate the gradient of the function.

Q: Calculate the directional derivative of f(x, y) = x³y² in the direction of v= 2i - 2j at the point P…

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Q: Find the intervals on which​ f(x) is​ increasing, the intervals on which​ f(x) is​ decreasing, and…

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Q: K A Coast Guard Station Able is located L=200 miles due south of Station Baker. A ship at sea sends…

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