Identify which of the following is a solution to the given ODE: y' = (y-1)/2x a. y= (3/2 x)+1 b. y= 2\sqrt{x} + 1 c. y= 2x^2 - 1

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Q: Example: Show the correct Venn Diagrams of the given expression and values below: A = {0, 2, 4, 6,…

A: Since you have posted a question with multiple sub-parts, as per company policy we will solve first…

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Q: 92. A cylindrical gasoline tank is placed so that the axis of the cylinder is horizontal. Find the…

A: It is given that, Diameter = 2 feetRadius = 1 ftρ=42 pounds/ft3

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A: Let's draw the function and find slope of given function.

Q: 9. Let f(x) = cos 2x. Calculate f(50) (x), the 50th derivative of f(x).

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Q: •ffe -32²-3y² dA; R= {(x, y)\x² + y² ≤ 4, x ≤ 0,y>0} R 4. (Section 16.3) Evaluate

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A: Given query is to find the the gradient of the function.

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

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Q: Which ordered pair is in the inverse of the relation given by x²y + 5y = 9? (2,1) O (-2,1) O (-1,2)…

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Q: 4. Find the solution of the IVP y" – 4y' — 12y = 3e5x, y(0) = 18 7' y' (0) = -1/₁

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Q: IV. Given the functions ƒ(x) = 2x + 5, g(x) = − x² − 6x + 7, and h(x) = the following. Show complete…

A: The given functions are,  fx=2x+5, gx=-x2-6x+7, and hx=3-6xx-4

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Q: Solve each of the following by forming exact differential (2y + 2xy2-xªy)dx +(x³ + 2x2y-x)dy-0

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Q: 2. Find the limit of the sequence defined by an = wit 1+ 71 2 n don

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Q: The linear approximation at x = 0 to f(x) = sin(4x) is: L(x) =

A: n

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

A: Topic- Application of derivatives We are given, height of a ball launched in the air t seconds after…

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Q: 1. g(x)= 3tan 3x 2. y=x sin¹2x+cot¹ √x 3. f(x)=sin ¹. ¹ 4. y = (arc csc 2x) 5. G(x) = 5x Cos ¹2x 6.…

A: Let's find derivative.

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Q: 2. Let f(x) be a continuous function on the interval [0, 1], and suppose 0≤ f(x) ≤ 1 for all x = [0,…

A: in this question we prove the above two results.

Q: 8. y = cos(x + y) = ysin(x)

A: derivative

Q: function

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A: Here we have to do partial fractions

Q: r1/3 (a) [1¹/² r1/3 (b) [11/² X 1+9x² 1 1+9x² dx dx

A: To solve the given integrals

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A: Given, f(x,y)=2x2-4xy+4y2-4y

Q: -8 --0---0--0 = -5 Given U₁ = 10 9 = -4 -8 | compute the cross products as -5

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Q: verify that the function y = C₁ x ² + C₂ x ³ is a the differential equation: solution to and 2 x ²y"…

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Q: Find the length and width (in feet) of a rectangle that has the given area and a minimum perimeter.…

A: Given query is to find the length and width of the rectangle which will give minimum perimeter.

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Q: 5. y = cosh[tanh(sinh(x))]

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: If-xy - 3+x=0 then find dy at the dx² point (-1, 4) in simplest form.

A: See the details solution in below

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A: We know, 2sinx*cosx=sin2x csc2mx-cot2mx=1, for any real m ∫csc2mxdx=-cotmxm ∫cotxdx=ln|sinx|…

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Q: 9. sec² x + csc² y = 4 2

A: Given; 9) sec2x + csc2y =4. Repost the next question.

Q: 4.30 ft to centimeters

A: To covert 4.30 ft to centimeters.

Q: Evaluate the following integrals. a. Cπ/4 f/4 cos 20 de

A: Since you have posted multiple question in this question which are not interlinked so i have…

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Q: Three regions are defined in the figure. C (0,2 y R₂ /y = 2√√x R3 y = 2x R1 B(1, 2) A (1,0) X Find…

A: Here,                we have given a region R1 now if this region is rotated about the line OA we…

Q: If-y - x² = xy + 3 and it is known that dy dx find all coordinate points on the curve where x = 1…

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