ODE  Solve the homogeneous equation  dy/dx = 4y-3x/2x-y

Q: Determine the intervals on which the function is concave up or down and find the points of…

A: solution:-f(x)=6x3-11x2+1f'(x)=ddx6x3-11x2+1=18x2-22xf''(x)=d2dx26x3-11x2+1=36x-22

Q: Obtain the general solution to the equation. (dy/dx)-y-e^3x=0

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Q: 10dz 4z³-4z²+5z

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Q: f(x) = x-2 (x + 2)² Find the maximum and minimum limits of the function:

A: Given problem:- f(x) = (x-2)/(x+2)2 Find the maximum and minimum limits of the function

Q: 3. (x² - y²) dx + xy dy = 0

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Q: 1. Use the Chain Rule to find 1. y = u² + 1 dy dx (show your complete solution) . u = x² - 1

A: dydx=4x3-4x

Q: Find the area of the region above the x-axis bounded by the function y = 4x - x2 – 3

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Q: The figure is the graph of the derivative, f', of a function f on [-4,4]. A Determine the intervals…

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Q: Suppose that F(x) is a function such that F"(x) = f(x). Which of the following statements is true? […

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Q: 1 +x² √x (+/- + x² Given f(x)=x√x + x and g(x) - = f(x) (exe-1-x-3/4+) (² + x² g(x) √x)² 1 ° = [e…

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Q: graph of the equation x2/3+2/3-82/3 is one of a family of curves called astroids because of their…

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Q: Find the values at which the points of inflection occur. (Use symbolic notation and fractions where…

A: The given function is f(x)=xx2+30.................................................. (1)…

Q: Think back to early in the semester when the weather was cold and often snowy. Imagine that in a…

A: We have to find the rate of change of volume and time required.

Q: Show that the equation is homogeneous and find its solution. (x2 + 3xy + y2) dx - x2 dy = 0

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Q: Apply the second derivative test to find all relative extrema. - 5)² (a) f(x)=(x

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Q: n np ₂ (²+1), J пр I)

A: Topic = Integration

Q: 9- [+7 (G) Y*%)]" = A. √13 B. -√13 О А О в О с D с. √2 D V3

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Q: 2 4 cot 4 x dx

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Q: NÁW [1 2 Find A¹ of The Matrix A= 3 2 -1 [3 1

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Q: The length of a rectangle is given by 4t - 3 and its height is 2t, where t is time in seconds and…

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Q: Let f(u) = ³√u and g(x) = u = 2 + 12x². Find (fog)(1). (fog)'(1) = (Type an exact answer.)

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Q: etch the region enclosed by y = x²y = √√x,x = 0,x = 1 and find its area.

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Q: Is it possible to solve it without a pocket calculator ??

A: Here to evaluate: t=∫03ds(2.78s+0.8s3)12 The integral can't be evaluated manually.

Q: You intend to conduct a test of homogeneity for a contingency table with 5 categories in the column…

A: answer is in next step

Q: Determine the intervals on which the function is concave up or down and find the value at which the…

A: To determine the intervals on which the function is concave up or down and to find the value at…

Q: Directions: Give the answer completely. Show the graph and the plane region in the Cartesian plane.…

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Q: Find the Cartesian coordinates of the following points (given in polar coordinates). a. (1,0) b.…

A: topic - coordinate conversion x=rcosθy=rsinθ

Q: Given than [(x) f(x) dx = 7 and f (x) da = -5, which of the following is NOT TRUE 6 ® [f(x) dx =…

A: Given that ∫-23fx dx=7 and ∫36fx dx=-5, then to determine which of the following is not True.A…

Q: ISR interval. interval. I is negligible set ? 7 = [-1,1] HW-1

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Q: Suppose that f(x) = 5x6 - 7x5. (A) Find all critical numbers of f. If there are no critical numbers,…

A: We have to solve given Questions.

Q: Find y' if y = 5x + 2 using the limit definition derivative

A: Y'  or 1st derivative is evaluated using limit.

Q: 1. Evaluate the Riemann sum for (x) = x³ - 6x, for 0 ≤ x ≤ 3 with six subintervals, taking the…

A: We need to solve using Reimann sum.

Q: A balloon, leaving the ground 60 ft from an observer, rises 10 ft/s. How fast is the angle of…

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Q: IF y = u* + 3u² & u = 3x Find dy dX

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Q: S 10dz 4z3-4z2+ 5z 2.

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Q: Find the length of the curves in Exercises 1-4. x = (y³/2/3) - y¹/2 from y = 1 to y = 9

A: Solution of given question is written in below steps.

Q: Find dy of the function y = cos2 3X + √√Sin x dx

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Q: 2 y = 3x³+=+6x X

A: We use the formula as given below:

Q: Compute the divergence and curl of F= -(z³-3x)j+4y²k+x²yi

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Q: in how many ways can we arrange the integers 1, 2, 3, 4, 5 in a line so that there are no occurence…

A: We use the principal of inclusion and exclusion.  For i∈1,2,3,4, let Ai ⊂Si be the set of all…

Q: What are intervals of concavity of the function f(x) = 2x³ 2x³ - 6x² - 3 ? Concave upward on (-1,…

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Q: Solution 1 y = (x +3)(2x – 5) y = 2x² + 6x - 5x - 15 y = 2x2 + x - 15 y = 2(2x)2−1+1-0 y' = 4x+1…

A: Please see the below picture for detailed solution.

Q: dx sinh3x tanh3x S

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Q: B/ Find the value of 18 194i 1. + 13 13 O 1 02 (11+5i) (8-6i) (3-21) (1-21) 2. 13 18 134i 1193

A: This question is based on rationalization of complex number.

Q: Find the (x, y) critical point (s) of the function f(x, y) = 2x³ + y² − 9x² − 4y + 12x − 2 . Then…

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Q: 2x - 6 Let f(x) = if x 5 -4x+ 20 Find the following limits: 1. lim f(x) = x-5 2. lim f(x) = x-0…

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Q: Directions: Using Fundamental Theorem of Calculus (FTOC), compute the following definite integrals.

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Q: Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum…

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Q: 7+(7) 2 7. If А. 2 О А О в О с O D = 1 then x= В. 4 с. -1 D. 0

A: Given query is to find the value of x.

Q: IF Y = u²-1 u²+1 Find dy np

A: Given,  y=u2-1u2+1