7 Graph R(x)= x² -+4x-5 x²+x-2 (lis steps, :) list all steps

Q: For what value of a is the following function continuous at every x? a ²x-2a, x≥2 24, x<2 f(x) =…

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Q: Evaluate the following improper integral. If the integral is divergent, enter "divergent" as answer.…

A: As we know the Power rule: ∫xndx=xn+1n+1+C   The given integral is: I=∫01x1-x23dx   ...1

Q: Which of the following is the area of the parallelogram formed by vectors  (0,−3,1)  and (1,4,−2) ?…

A: Which of the following is the area of the parallelogram formed by vectors  (0,−3,1)  and (1,4,−2) ?…

Q: Solve for the general solution: -4 Oy=a³e + co Oy=x³e +cª Oye +³ e* + c³ Oy=x³ee² + c xý – 4y = co e

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Q: Find lim f(x) and lim f(x) for the given function and value of c. X-C* X-C™ f(x) = (x+8) lim (x+8)…

A: The given function is:f(x)=x+8x+3x+3 ;         c=-3

Q: A triangular plot of land has one side along a straight road measuring 300 feet. A second side makes…

A: Let, AB be the road. The side AC makes an angle 53 ° and side BC makes42° angle with the road.

Q: 2. Determine whether the series (a) Converges 00 (b) 5 3/2 converges or diverges. Diverges

A: need to find out the the series converges or diverges.

Q: What is f'(x) if f(x) = -? 40x5 ex

A: Given data, fx=40x5ex

Q: Use the Comparison Test to determine whether or not the integral converges. dr T-1 (b) (c) 3 -5 C […

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Q: Which of the following is  F(x)+C  for  F(x)=∫f(x)dx=∫(3e^x+2sin⁡x)dx  and  F(0)=0  ? Select one…

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Q: Find the y-coordinate of the y-intercept of the polynomial function defined below. f(x) = −2x(2x² +…

A: Given; We know that the y-intercept is an (x,y) point with x=0. So, we get that f(0) = 0.

Q: 4. Martin's family drives 300 km from their home to a family reunion. His cousin Sherry and her…

A: Since both reach the party at the same time so both take same amo

Q: 11. A rich uncle wants to make you a millionaire. How much money does he need to invest at the time…

A: We know At=Pert⇒At=Amount at time t⇒P=initial amount ⇒r=rate of interest ⇒t = time in years

Q: 3x 2 3x -2 3. Consider the following rational equation: + x+1 x+2 x+3 (x+1)(x+2)(x+3) a) List the…

A: Consider the following rational equation: 3xx+1+2x+2-3xx+3=-2x+1x+2x+3a To list the set of…

Q: Compute Ay and dy for the given values of x and dx-Ax. y=x², x = 5, Ax=0.5 O Ay = 6.05, dy = 0 O Ay…

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Q: Graph P(x) = x²-3x²x4x+12 (list all steps, TU

A: Use properties of functions

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

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Q: 4. A function f has the following verbal description: multiply by 3, add 5, and then take the third…

A:

Q: A function f(x) has an inflection point at (1,8). Which of the following could have been the result…

A: A necessary condition for x to be an inflection point is f''(x)=0. A sufficient condition requires…

Q: A model for the yield Y(N) of an agricultural crop is a function of the nitrogen level N in the…

A: Given query is to find the nitrogen level for maximum yield.

Q: 7–46 Find the derivative of the function. 38. y = sin(t + cos √t)

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Q: 6х3 + 2х2 +22х 2х2 +5

A:

Q: 1) If the angle of elevation of the sun is 63.4° when a building casts a shadow of 37.5 feet, what…

A: As we know that for right angle triangle we have tanθ=HeightBase The above problem can be view as

Q: Determine if the series converges or diverges. k² 100 12t k k=1 (a) Converges (b) Diverges

A: Given query is to find limit converging or diverging.

Q: Find the Riemann sum approximation of the double integral. 16 (5x-8y) dA where D is the rectangle D=…

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Q: R is the region bounded by the functions f(x) = 1-3√x and g(x) = -3-2. Find the area A of R. Enter…

A: Given curves equations:- fx=1-3x,gx=-34x-54

Q: 10. Find the Taylor polynomial P4 for f(x) = In x at xo = 1. (a)_1+ ²(x-1)=(x-1)² + ²/(x-1) - 1 4 5…

A: Given f(x)=ln x    x0= 1we want to find taylor polynomial P4(x)

Q: (b) lim ex xxx

A: Let's evaluate the given limit.

Q: Evaluate the definite integral. Use a graphing utility to verify your result. fixe- -3x² dx

A: integration

Q: 25-32 Use implicit differentiation to find an equation of the tangent line to the curve at the given…

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Q: Given the function g(x) = 8x³ − 108x² + 480x, find the first derivative, g'(x). g'(x) = Notice that…

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Q: Let f(x) = 9x5 - 7x5. (If an answer does not exist, enter DNE.) (a) Find all critical values of…

A: The given function fx=9x6-7x5. We have to find the critical points and increasing and decreasing…

Q: Invasive species often display a wave of advance as they colonize new areas. Mathematical models…

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Q: Given the function f(x) 3x³ - 18x² a product of linear factors with integers. f(x) = = - 75x - 54,…

A: We have to find out

Q: x + 1 At what points is the function y = 2 x² - 4x + 3 continuous? Describe the set of x-values…

A: Given data, y=x+1x2-4x+3

Q: lim(x,y) aproaches (0,0) (3x3y)/(x6+y2)

A:

Q: In the following exercises, change the order of integration and evaluate the integral. π/2 Z+1 ://…

A:

Q: 7) A triangular plot of land has one side along a straight road measuring 300 feet. A second side…

A: A triangular plot of land has one side along a straight road measuring 300 feet. A second side makes…

Q: Given the function ƒ(x) = 5x¹ + 75x³ + 315x² + 405x, and one of its factors is (x + 9), write f(x)…

A: Giv     fx=5x4+75x3+315x2+405x    One of its factors is x+9 Factor out common terms:…

Q: Problem 4. number, using the following steps. In(x) xxx0.01 (a) Compute lim (b) Compute lim In(x)…

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Q: Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of…

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Q: Suppose that the derivatives f'(z) and g'(z) exist. Show: f(z)g(z)-g' (z)f(z) g²(z) b) [f(g(z))] =…

A: Let f(z) be a differentiable function. Then the derivative of a function is defined as…

Q: Use the graph at right for questions 4 and 5. It consists of a semicircle and two line segments. 4.…

A: A function f(x) is continuous at x=a iff  limx-&gt;af(x)=f(a)

Q: If p(x) = log7 :), find p'(x). x37x 6x+5

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Q: y(4) 10y" +35y" - 50y' +24y = 0 -

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Q: 6. The series 겨 8. (a) Converges absolutely (c) Diverges (b) Converges conditionally

A: To find the convergence of the given series.

Q: 7. If the line 3x - 5y = 7 is tangent to the graph off at the point where x = 4 then lim h→0 C. 3 B.…

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Q: How many x-intercepts would the function shown below have? f(x) = (x² − 5)

A: given that,   f(x)=x2-5   how many x-intercepts would the function have?

Q: Σ 1 8

A: See this solution in below.

Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 3-2.…

A: We need to find width and height.