55-58 Find equations of the tangent line and normal line to the curve at the given point. √√x x + 1' 58. y = (4, 0.4)

Q: Recall that the logistic model can be written in the form a) Give the formulas for finding the…

A: We have to find carrying capacity and growth rate, by comparing the logistics model formula to the…

Q: Before descent an airplane is cruising 23200 feet above the ground. The air traffic control tower is…

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Q: 4. The value of a timber forest after t years is V(t) = 4 maximized.

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Q: 9. We know that 1 ² = n(n+1)(2n+1). Use it to determine the following 26 Σ₁² i=6

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Q: answer

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Q: Write an equation for the polynomial graphed below, in factored form. 5 4 3 W 2 1 -3 -2 -1 2 3 4 -2…

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Q: 6х3 + 2х2 +22х X 2х2 +5

A: Divide the leading term of the dividend by the leading term of the divisor

Q: given point. 24. y = x + tan x, (TT, TT)

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Q: 100 [ k 7k+9 k

A: We  apply here root test

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

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Q: Consider g(y) = - 12y(-7- y) Determine the intervals on which g is concave down. g is concave down…

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Q: A manufacture has been selling 1100 television sets a week at $540 each. A market survey indicates…

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Q: Find the exact length of the curve. =x²-In(x), 1≤x≤4 2

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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: 2 Let f(x) = √3x² + 3x + 2 f'(x) = ƒ'(1): = OF

A: Topic - Derivative of  a function We are given, f(x)=3x2+3x+2Formulas usedChain rule:…

Q: QUESTION 3 2-1 Find parametric equation of line == +2 22=2²=== y + 3z = 23 Hence find its…

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Q: Use the chain rule to find the derivative of 4√/5x+3x6 Type your answer without fractional or…

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Q: Blood Alcohol Level  The percentage of alcohol in a person's bloodstream t hr after drinking 8 fluid…

A: Given:-  The percentage of alcohol in a person's bloodstream t hr after drinking 8 fluid oz of…

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

A: Area of a region bounded by two curves is given by Area=∬dydx see below the answer and calculation

Q: Which of the following is the derivative of f(x) Select one alternative: ○ f'(0) 1 h→0 1-h ○ f'(0) =…

A: We need to find out the correct answer.

Q: Q is the region bounded by the graph of u(y) = the y-axis, y = 0, and y = 1. Find the volume of the…

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Q: 10) Two runners in a marathon determine that the angles of elevation of a news helicopter are 38º…

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Q: If 3x O -2. O 0. O 4. O 2. O -4. 3 [2x y/t then y =

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Q: If f(x) = f'(x) = ƒ'(2) = 1 -, find ƒ'(x) and then compute f'(2). Use exact values. (x − 3)¹'

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Q: -10 -8 -6 Answer: f(x) = -4 -2 20 16 12 8 4 -4 do -12 -18 2 9 8 10 Submit Answer

A: Given query is to find the function of the graph.

Q: Which of the following integrals is the area enclosed by the graphs of f(x) and g(x) shaded below? a…

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Q: The polynomial of degree 5, P(x) has leading coefficient -3, has roots of multiplicity 2 at x = 1…

A: We have to find out

Q: To carry a suitcase on an airplane, the length + width + height of the rectangular luggage must be…

A: This is an optimization problem. We use V'(h)=0 to calculate critical points and see where the…

Q: Question A4 and A5 relate to the following information. In a goodness of fit test, the observed and…

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Q: a: Question 6 x² Let f(x)= for x # 1. x-1 Find local maximum value(s) and local minimum value(s) of…

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Q: 1 √1-y² 84. :// -√1-y² (2x + 4x³) dx dy

A: To evaluate the following double integral.∫01∫-1-y21-y2 2x+4x3 dx dy

Q: 27. If = xy² 7-2x²yz7-3yz² find curl 7 at the point (1,-1, 1)

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Q: Given the function f(x) = x³ + 3x². 9x+5 over the interval −7 ≤ x ≤ 2, answer the following…

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Q: 14 Friday 5x² + 6y² = 9 2

A: Given query is to find the derivative of the expression.

Q: Let f(x) = 2x3/2. Calculate the arc length of the graph of f(x) over the interval [1, 3]. Enter an…

A: Let fx=2x32, to calculate the arc length of the graph of fx over the interval 1, 3.

Q: Use the Rational Zero Test to list the possible rational zeros of f. Verify that the a f(x)=x²³ +…

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Q: Differentiate f(x) = 5(6x8-8x6) ¹0. You do not need to expand your answer. f'(x) = Factor out the…

A: ddxxn=nxn-1

Q: Find the thos of P(x) = x4 -81

A: To find the zeroes of given polynomial

Q: Which equation choice could represent the graph shown below? 8241228 20 16 10 -10-9-8-7-6-5 -4 3-2-1…

A: solution:-according to the given graph of f(x)roots of f(x) is at :x=-3,…

Q: Which one of the following graphs fits the descriptions given about an open interval containing…

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Q: Evaluate the definite integral. Use a graphing utility to verify your resul f. ²xe-7x² dx

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Q: Find the indefinite integral and check the result by differentiation. (Use C for the constant of…

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Q: tan(x) – 4 sec(x) f'(x) = cos(x) + 4 sin(x) If f(x) = f'(-3) = -.43 then: I q X

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Q: Solve for the general solution of the given DE: O Inlx| + xy = C O Inlyl + xy = C O Inlyl + x^-1…

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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: An open-top box is to be made from a 32 in. by 22 in. piece of cardboard by removing a square from…

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Q: Use the Limit Comparison Test to determine the convergence or divergence of the series. lim 718 00…

A: We have to determine if given series converges or diverges.

Q: Which of the following is a normal vector to the plane which is parallel to vectors (0, -3, 1) and…

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Q: The graph of f is shown. Evaluate each integral by interpreting it in terms of areas. y (a) 256 (c)…

A: Topic = Area

Q: Find the following using the table below. X f(x) f'(x) 1 2 3 4 +3+ 4 g(x) 2 g'(x) 4 1 2 -~-~ -33 1 2…

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