Write an equation for a rational function whose graph has all of the indicated features:  - verticle asymptote with equation x = 3  - horizontal asymptote with equation y = 2 - hole at x = 1 - no x-intercepts

Q: Find a function r(t) that describes the line passing through P(9,7,2) and Q(3,2,9). r(t) = (-6t+9,,…

A: See this solution in below.

Q: Find the absolute extrema of the function over the region R. (In each case, R contains the…

A: We have to find the absolute extrema.

Q: Find p(-2) for p(x) = x²³ - 6x² + 3x + 4 P(-2) =

A: Put the value of x=-2

Q: Consider the following. B = {(1, 2, 16), (-1, 1, 8), (-3, 3, 28)}, B' = {(10, 3, 6), (3, 1, 2), (6,…

A: Disclaimer: “Since you have posted a question with multiple sub-parts, we will solve first three…

Q: 7. (a) How many committees consisting of 4 people can be chosen from 9 people? (b) Redo part (a) if…

A: (a) 126 (b) 70 For detail...go through the solution......I have solved step by step in detail

Q: Differentiate the function. g(x) = = 1 (3x³ + 5x + 8)3/4

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Q: Find an equation for the tangent to the curve at P and the horizontal tangent to the curve at Q. Ay…

A: Topic - Equation of tangent line to curve We are given, y=3+cot x -csc xand we know thatslope of…

Q: bax 33. Find the quadratic function f(x) = ax²+bx+c that goes through (2, 0) and has a local maximum…

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Q: How many critical points does f have? Which points are critical points?    At which points does f…

A: NOTE: Refresh your page if you can't see any equations. . Critical points are points where the…

Q: Find the indefinite integral. (Remember to use absolute values where appropriate. Use C for the…

A: To find indefinite integral.

Q: Give a cartesian equation for the curve given by the parametric equations: 4t² - 4t, y = 14t².…

A:

Q: Find the derivative of the following functions using limits. 1. f(x)= 3x² + 4x-5 2. f(x)=x³2x²+x-3…

A: The given functions, 1. fx=3x2+4x-52. fx=x3-2x2+x-33. fx=x-12 We have to find the derivative of…

Q: For f(x) = 3x² + 8x + 7, find the equation of the tangent line at the following values of x. (a) x =…

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Q: 1. Each of the following integrals can be found by making a substitution u for part of the…

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Q: Find the volume of the solid whose base is the region in the first quadrant bounded by y-ay-1 and…

A: Given that the solid base is the region in the first quadrant bounded by y=x4,y=1 and y-axis and…

Q: Evaluate the integral in terms of the constant: S₁x5 dx =

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Q: Consider f(x) = − 5x(8 − x)¾ Determine the intervals on which f is concave down. Of is concave down…

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Q: Given that f(x) (a) (f + g)(3)= (b) (f - g)(3)= (c) (fg)(3)= (d) (-) (3)-[ = x² - 7x and g(x) = x +…

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Q: Find the angle , in radians, in the given right triangle. The length of the side adjacent to is 19…

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Q: A box, without a lid, must contain a volume of 1000 cubic centimeters. The box must have a square…

A: This is an optimization problem, we use first derivative to find critical values and second…

Q: dx Find by implicit differentiation for the given equation. cot (x + y) = = 4+x4

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Q: Find the indefinite integral. (Use C for the constant of integration.) √³x (3) dx Need Help? Fland…

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Q: The area of the region inside r= 2 + sin and outside r= 2-2 cos 0 is given by

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Q: Assembly Time of a Worker In the following graph, N(t) gives the number of smartphones assembled by…

A: Consider the given graph:

Q: Use properties of limits and algebraic methods to find the limit, if it exists. (If the limit is…

A: See this solution in below.

Q: Exercise 11 Evaluate the limit lim x → T 6 sin x + x- 품) 1/3/5/6 - 1

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

Q: Suppose that f(x, y) = r²- xy + y² - 2x + 2y with D= {(x, y) | 0≤x≤2,0 ≤ y ≤ 2}. 1. The critical…

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Q: Determine the sum of the convergent series below. Σen211-n n=1 Leave your answer as a fraction in…

A: Given: ∑n=1∞ e3n211-n

Q: Calculate the gradient of f(x, y) = xy at (x, y) = ( − 2, 2).

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Q: Find the rate of change of a population of size P(t) = ³ + 4r + 10 at time! = 4. The rate of change…

A: P(t)=t^3+4t+10         rate of change=dP(t)dt             dt^ndt=nt^n-1

Q: Using Boole's Rule, evaluate the integral of a. √x cos(2x² + 7)dx b. In(x + 2) dx

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Q: Find the equation of the tangent line to the function f(x)=−3x3−3x2−x+3 at the point (−1,4). Give…

A: See this solution in below.

Q: 2 Given that f(x) = x² x² (a) (f + g)(x)= (b) (f - g)(x)= (c) (fg)(x)= (d) (4) (2)-[ (x)= - - 10x…

A: We can answer the composite functions in the below steps.

Q: lim (1+1)* 148

A: Please see the below picture for detailed solution.

Q: Solve the differential equation. (t−5)³s' +4(t−5)²s=t+5,t> 5 The solution is s=

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Q: Evaluate the limit, if it exists. 1 - 2x² - x4 5+x - 3x4 1 2 (i) lim x → ∞

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

Q: What is q' (x) when q(x) = ln((x² + 1) (x³ + x² +2))?

A: q(x)=lnx2+1x3+x2+2

Q: An equation is given. (Enter your answers as a comma-separated list. Let k be any integer. Round…

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Q: Differentiate the given function using the appropriate rule(s). Your answer does not have to be…

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Q: Use the binomial theorem to expand the following: (a) (x + 2y)* (c) (3x + 1)4 (b) (x - y)6 (d) (x +…

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Q: Question 4 Question: The number of Americans currently enrolled at college or university is…

A: Explained below

Q: Does the graph of the function below have any horizontal tangents in the interval 0≤x≤2r? If so,…

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Q: Consider the following. x² X + 9 Find the derivative of the function. f'(x) = m = f(x) Find the…

A: The given function is  f(x)=x2x+9

Q: 1. Calculate ›(3) (52 (a) (8) (b) (8) (52) (52)

A:

Q: 1. Integrate each of the following. a. f 3x²e³x dx b. fxco. xcos(4x)dx

A: (a) Given that ∫3x2e3xdx

Q: Leta = (5₁5) and b=<3₁-5) SO Why that Ba Sa+t6=<-4₁-207 S= +=D]]

A:

Q: Calculate the derivative à S² √7 + x² dx =

A: NOTE: Refresh your page if you can't see any equations. . break this integration at t=0

Q: Q is the region bounded by the graph of v(y) = 5y, x = 2, and y = 0. Find the volume of the solid of…

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Q: Evaluate the definite integral 5 2 X dx

A: Given query is to find the integral.

Q: Use the chain rule to find the indicated partial derivatives at p=4, r = 3,0 = 0 and enter them into…

A: given u = x2 + yz x = prsinθy = prcosθz = p + r