11. Sketch the rational function: f(x) "Hole" Sketch Domain Range VA HA Label graph = x2-5x+4 x²-3x+2 y-intercept x-intercept Extra point f(3).

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A: given: ℎ:ℝ→ℝf,g,h:R→R are differentiable such that  f′(a)=b, g′(b)=c, h′(c)=d, f(a)=e, g(e)=ℓ,…

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Q: (6 8. Assume tan = where the terminal side of is in Quadrant I. What is the value of (a) tan(-0) =…

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A: Please refer to the image below

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Q: 12. Which equation represents the image of y Oy= 1 x-4 Oy+4=1 1 Oy=274 x+4 Oy-4-1- 1 after a…

A: The objective of the question is determine the new function (equation) after translation upward.

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A: Given, P(t)=4705+4t49+t2

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Q: Integrate using appropriate U-Substitution. You must label u and du: 4x²e¹-x³ dx u= du =

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Q: Evaluate the arc length of the curve generated by the parametric equations below for t (-1,1) x(t)=…

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Q: Use the summation properties and rules to evaluate each series. n(n+1) Summation Rules: Σ=1 1 = n; Σ…

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Q: a) Find the derivative of each of the following functions. Write the derivative in proper form,…

A: The given functions, i) fx=5x2e3x+5ii) fx=ln x7x+23iii) gx=2x3-9x-2+7x5

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Q: A force of 960 newtons stretches a spring 4 meters. A mass of 60 kilograms is attached to the end of…

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Q: Evaluate ff sin(9x² + 4y²) da, over the region in the first quadrant by the ellipse 9x² + 4y² = 1.

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Q: Replace the Cartesian equation with an equivalent polar equation. x² + y² - 4x=0 O A. r cos²0=4 sin…

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Q: Find the area of the portion of the plane in the first octant passing through the points (0,0,6),…

A: This question can be solved using the area of triangle in three dimensional geometry.

Q: 7. Compute the gradient of the following function f(x, y, z)= e-2z sin(2y) cos(2y);

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Q: 25 A particle P is moving along a straight line. At time / seconds. > 0, the displacement, x metres,…

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Q: Use implicit differentiation in finding y'. 1. x²³² +y³ =18xy

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Q: Use Newton's method with initial approximation x₁ =-2 to find x2, the second approximation to the…

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Q: rs are moving towards an intersection. One car is 160 meters north of the intersection an s the…

A: Please refer to the image below

Q: Establish the identity. csc u cot u = sin u 1 + cos u

A: We have to establish the identity csc u - cot u = sin u1 + cos u.

Q: 7. DETAILS ZILLDIFFEQMODAP11 4.6.011.MI. Solve the differential equation by variation of parameters.…

A: The given differential equation is ; y"+3y'+3y=1/(3+ex).

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Q: Find the critical numbers for f(x) = 7x*eº. 0, e O 0. O alt Tla 20.-1 0,- .7

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Q: Consider the graph of g (x) = 2*-¹ + 4. How is g(x) related to the base graph of f(x) = 2*? Select…

A: The graph of the function gx=2x-1+4 related to the base graph fx=2x

Q: How many minutes after 4 o’clock will the hands of the clock from an angle of 120 degree again? a.…

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Q: Questions 6. W Use the following information to answer the next question Two functions are shown. y…

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Q: Find all points where the function is discontinuous. Ay G OA. x = 4 OB. x= -7, x=4, and x = 6 OC. x=…

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Q: 8. Use the Direct Comparison Test to determine whether the series converges or diverges. a. b. n=1…

A: To use the direct comparison test to check the convergence of the given series. Direct Comparison…

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A: Please refer to the image below

Q: Find the arc length of f(x) = (1+2²) from x = 0 to x = 2. Simplify your

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Q: Solve the initial-value problem by using integrating factors. xy' = y + 4x ln(x), y(1) = 5 y(x) =.

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Q: Divide numerator and denominator by the highest power of x in the denominator to find the limit. 4x²…

A: The given limit is limx→∞4x25+49x2

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Q: 7) Find the curvature of y = e* at the point (0, 1). Then find the equation of the osculating circle…

A: Given curve, y=ex

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Q: Use Green's theorem to evaluate the line integral along the given positively oriented curve. [(5y +…

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