Find a formula for a function that has a vertical asymptotes x = 1 and x = 3, and horizontal asymptote y=1 and f(4) = 0, f(-4)= 0, f(-1) = 0 (keep in factored form)

Q: Find all points on the graph of the function f(x) = 2 sin(x) + sin²(x) at which the tangent line is…

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Q: 4. Find the derivative of the function g(x) = 7x+2 tan (x) Show all steps using the derivative rules

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Q: 5. x + x√x 2 1 51 2 |4* - 5*| dx

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Q: dx 3. The rate at which quantities x and y change is given by cos (). If y(1) = π, find y(x). 2x

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Q: Find the two x values at which the tangent line to the curve y = x+3 x+2 Smaller x value: Larger x…

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Q: Find dy/dx when e2y = 6x² + 2y². 1. 3. 4. dy dx dy dx dx dy dr dy dx || || || || 2x 3x² + y² + y 3x…

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Q: find the slope m of the line tangent to the graph of the given function f(x)=2-7x at the point…

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Q: 2 dy 3x²-x-5 dx (x + 1)(y + 1)' .y(1) = 4

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Q: b) Let g(x) = 2√√64 – x² + 32 sin¯¹ Find g'(x) = 8|00

A: g(x)=x264-x2+32sin-1(x8)d dx(sin-1)=11-x2d dx(xn)=nxn-1d dx(x)=12xd dx(a.b)=adbdx+bdadx

Q: C- Find: fog(x), gof(x), IF 1 f(x)= gof(x), IF f(x)=√2+2 9 g(x)=x²-6

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Q: The limit represents the derivative of a function y = f(x) at some number a. Find the function f and…

A: To select the correct option

Q: If the infinite curve y = e ^, x ≥ 0, is rotated about the x-axis, find the area of the resulting…

A: To solve the following problem

Q: Alyson hired a face-painter for a birthday party. The painter charged a flat fee of $55 $ 55 , and…

A: Given query is to find number of people used face painting.

Q: Use a graph or level curves or both to find the local maximum and minimum values and saddle points…

A: Vvvvvvbbvb we janbpcffdddddjhgg me vcghg

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Q: ng Population The population of Americans age 55 and older as a percentage of the total population…

A: We will find the required.

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Q: Which of the following iterated integrals computes the volume of the solid under the graph of the…

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Q: Air Purification During testing of a certain brand of air purifier, the amount of smoke remaining…

A: During testing of a certain brand of air purifier, the amount of smoke remaining  (as a percent of…

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A: We need to find rate of change in population.

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Q: Let f be a function which is one-to-one and differentiable on (-∞, ∞). The following table gives…

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Q: Find the limit. (If the limit is infinite, enter '' or '-', as appropriate. If the limit does not…

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Q: Does the series n=1 √√n 10 Σ converge or diverge? The series diverges because it is a p-series with…

A: Given query is to find series converges or diverges.

Q: 1. Find the linearization of the given function at the given point.

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Q: Find y(2) given the IVP (3xy+3y-4) dx + (x+1) ²dy = 0;y (0) = 0 O 16 27 17 327180 O 13 25

A: To find y2 given the following IVP. 3xy+3y-4 dx+x+12dy=0; y0=0

Q: Let f(x) 39 27 O 1 4√3 O-√6 9 3√3 .-1 (²). Then the second derivative at x = -1,f"(-1), equals = COS

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Q: dy dx 11. Assume that x and y are both differentiable functions of t. Find dt when x = 16 and dr the…

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Q: The table shows values of a force function f(x), where x is measured in meters and f(x) in newtons.…

A: Work done(W)=∫abF.ds  where F is the forceds is the change in displacementa and b are the two limits…

Q: III. Subtract the first function from the second function. 1. f(x) = 2x + 1 and g(x) = 3x - 4-X-5 2.…

A: Quetion III,Part 1,Given,            fx=2x+1 and gx=3x-4To find ; Substract the first function from…

Q: The cost function for Levi Strauss to pro- duce a pairs of blue jeans is C(x) = 3400+ 9x Find the…

A: We have given cost function  Cx=3400+9x-150x2+710000x3 C'x=ddx(Cx)…

Q: Find the derivative of y with respect to the given independent variable. y = log get - log 3 x 히증 11…

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Q: dz If z = et cos y, x = st, y = s+t, find Əs A. 2π B. T C. 0 D. -π E. -2π when (s, t) = (0,2π).

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Q: find the slope of the tanget to the function f(x)=x2 - 1 at x=1using the first principle of…

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Q: Evaluate the integral. a √²5x² √8² - x² dx

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Q: Determine whether the equation is exact. If it is, then solve it. 9t dy + (9 In y + 5)dt = 0 Select…

A: standard form of exact equation Mdx+Ndy=0this is excat if  ∂M∂y=∂N∂xsolution is ∫Mdx+∫(terms of N…

Q: True or false: At the point where x = , the tangent line to y = sin(x) is perpendicular to the…

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Q: Learning Target DC3: I can compute derivatives correctly for trigonometric functions and…

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Q: 3. (x + y - 6) dx + (x -y + 4)dy = 0.

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Q: If you know that: f(3) = 17 and So then: foo 0. f'(0) do = f(x) dx = −4

A: We will find the required.

Q: Could you explained how you got x+1/sqrt(x^4-x) is greater than x+1/sqr(x^4)???

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Q: Eliminate the constant: 3x 3x y=c₁e³x. + + c₂2 ve ³x схе 3 Oy" + 6y' +9y=0 Oy"-6y'+9y=0 Oy"-4y+3y=0…

A: It is given that,y=c1e3x+c2xe3xwe need to eliminate the constants c1 and c2

Q: An object is thrown upward at time t = 0. After t seconds, its height is y = -4.9t² + 5t+5 meters…

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Q: owing identities cou

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