For the following graphs of rational functions, find the equation: 3. 1. -6-5-4-3 1 0 1 N 3 4 5 6 +m int 57 2. 4. 7-6-5-4-3-2-1 0 1 2 3 4 -7-6-5-4-3-2--1 0 1 2 3 4 5 wwwwwwwwwwwwww

Q: 4. Solve: log2 (5m - 2) log₂ (m + 2) = 2

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Q: Find the equation for the circle with a diameter whose endpoints are (3,16) and (5,- - 14).

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Q: 5) Use mathematical induction to prove that Σ(2¹)=2+(n-1)2+¹ 7-1

A: Prove the equation

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A: According to question,Given Revenue Function,Rx = 350 x + 4205x+7-1 -200

Q: Find f(g(x)] and g[f(x)]. f(x) = 5x +9; g(x) = 4x-7 OA. f[g(x)]=20x+26 g[f(x)]=20x-29 OB.…

A: f(x)=5x+9g(x)=4x-7(i) f[g(x)], put x=4x-7 in f(x)

Q: (A) = 3x-2y dx dy ry+3x-y-3 ry-2r-4y+8 dx (B) = (A) I only (B) II only separ 5. The following DE are…

A: Differential equations

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Q: Given that g(x) = 3x² - 4x + 12, find each of the following. a) g(0) b) g(-1) c) g(4) d) g(-x) e)…

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Q: Write a vector equation and parametric equations for each line. a) 3x - y = 7

A: note : as per company guidelines we support one question in one request. kindly repost next question…

Q: 1. Determine f'(x) and DO NOT simplify. f(x) = 2x³7x² + 3x - 1 a) c) f(x) = -3√x 2 b) f(x) =…

A: To determine f'x and to do not simplify. (a) fx=2x3-7x2+3x-1 (b) fx=5x2-3x (c) fx=2x2-3x

Q: Use a table of integrals with forms involving a + bu to find the indefinite integral. (Remember to…

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Q: Find the derivative of the function. y = In 2x2 O A.dy 중증 중증 중증 증 dx OB. dy OC. dy dx OD. dy = dx X…

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Q: Question #6 - The monthly cost of producing "X" units in our factory is given by the function C(x) =…

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Q: 5. Find the particular solution to the differential equation y√1−x² y' − x√√1—y² = = 0 given the…

A: we will use substitution method to solve this differential equation

Q: olify the fractional expression. (Expressions like this arise in 2 3 √₁ · (~- ++)² 4x³

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A: Given that , x34-3ydx+xdy=0

Q: If f(x)=x³√x), then ƒ (4) (16) =

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: 3. Let (an) and (b) be sequences. Suppose that (an) converges to 0. (a) Using the definition of…

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Q: Spending on Corrections in the 1990s The following table shows the annual spending by all states…

A: Spending on Corrections in the 1990s   The following table shows the annual spending by all states…

Q: 4 + 5x = 36 - 3x

A: We will solve for 'x' .

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Q: Find a unit normal vector for the following function at the point P(-3,-1,-27): f(x, y) = x³ (Please…

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Q: 3. What is the exact value of the trigonometric expression? 2π tan - sec(-π) 7π 4 State your answer…

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Q: Determine whether the equation is exact. If it is, then solve it. (4x³y + 7) dx + (x-2) dy = 0…

A: Given differential equation is (4x3y+7)dx+(x4-2)dy=0

Q: Solve the DE. (Homogeneous DE) 1. [xcos2(y/x) - y]dx + xdy = 0

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Q: Find Jodi where C is a circle of radius 3 in the plane z+y+z=8, centered at (4, 4,0) and oriented…

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Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

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Q: Consider the following integral. 1 1 + e dx Use the substitution u = 7x to rewrite the given…

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Q: Which angles are coterminal with an angle drawn in standard position measuring 172°? Select all…

A: Angle y is coterminal with the given angle x if the difference between x and y is non zero integral…

Q: Evaluate the integral. 1) Se 6 sect sec4 x dx

A: Given integral ∫6sec4xdx

Q: Find an equation for the tangent plane to the surface z + 4 = xy cos(z) at the point (4, 1, 0).…

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Q: 9. Which of the following equations is (are) Bernoulli? dy (A) y + ln y = tan²(x + 5) dx (1+y)y =…

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Q: If h(2) = 6 and h'(2) = −2, find d (h(x) dx X :). x = 2

A: Topic = Derivative

Q: Integrate TT y 2 x² dy dx.

A: To integrate ∫13∫24yx2 dy dx.

Q: Solve for x. log₂ (x − 28) = 3 X = (Separate answers by a comma.) If the answer is radical use…

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Q: Find the solution to the boundary value problem: The solution is y= d²y dy 9- dt² dt + 20y = 0, y(0)…

A: According to question,Given Differential equation,d2ydt2-9dydt+20y=0,andy0 = 1,y1 = 5.

Q: Consider the function f(x) = 2x² - 8x on the interval [0, 5]. Find the absolute extrema for the…

A: given  f(x)=2x2-8x on [0,5]for critical points put f'(x)=0d dx(xn)=nxn-1

Q: 2) +2d²y करवर dx² 5x +9y=0, y(1) = 2,y'(1) = 1 dy dx

A: The given differential equation is a Cauchy euler equation. Hence we use the technique to solve the…

Q: Q8.2 If y = log₂ simplify. (2x + 1)5) √x² +1 then find y'. You must show all your work but you do…

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Q: 28. Find a linear differential operator (of lowest order) that annihilates the given functio f(x) =…

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Q: Approximate the arc length of the curve y = 24 over the interval [1, 2] using the trapezoidal rule…

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Q: uppose that water is stored in a cylindrical tank of radius 2 m. If the height of the water in the…

A: Given: Height of the water tank = h m Volume of water in tank =πr2h Draining rate of water = 300…

Q: 2. The equation y = cal is the one-parameter family of solutions of which of the following…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: 3² Find the equation of the tangent line to the curve (an ellipse) + = 1 at the point (-2,√108). The…

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A: The given data is: The value of a particular rocking chair is well approximated by V=701.2t V in…

Q: 215. y = 6u³, u = 7x - 4

A: Topic = Derivative