If 1 f(x) = coth-¹√√x² +5 then f'(x) = 0

Q: Consider the graph of y = f(x). -8-7-6-5-4-3-2-1 " (b) lim f(x) = 112 (c) lim f(x) = *→-2+ Do cy m…

A: find the limits from the function graph

Q: Find the following derivatives. Express your answer in terms of the independent variables. Ws and w,…

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Q: At the beginning of an experiment, a scientist has 248 grams of radioactive goo. After 210 minutes,…

A: given that at the beginning of an experiment a scientist has 248 grams of radioactive  so initial…

Q: Use the Substitution Formula, f(g(x)).g'(x) dx = f(u) du where g(x) = u, to evaluate the following…

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Q: The total sales of a company (in millions of dollars) t months from now are given by S(t)= 0.041³…

A: Given S(t)=0.04t3+0.8t2+4t+3We need to find(A)S'(t)(B)S(7) and S'(7)(C)Interpret S(13)=278.08 and…

Q: A bacterial culture grows with a constant relative growth rate. After 2 hours there are 400…

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Q: Find the angle of inclination θ of the tangent plane to the surface 2x2-3y2+z=0 at the point…

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Q: 4. Given that a car's distance in feet east of an intersection t seconds since it started moving is…

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly…

Q: The equation for the tangent line to the curve x² + y = 4 when x = 6 is y = i X + i

A: To find the equation of tangent line for the given curve.

Q: Answer the following questions for the function f(x)=x√x2+1 defined on the interval −5≤x≤7.…

A: We are given the function f(x)=xx2+1. As nothing is mentioned, we will be answering by graphical…

Q: Find the gradient of the function at the given point. Function Point (3, 3) f(x, y) Vf(3, 3) = = x +…

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Q: Compute the indicated derivative using the chain rule. y = u³, u = x - 2; dy dx = E dy dx

A: Given: y=u3, u=x-2.We need to find dydx.

Q: 1. Determine the domain and range of the vector-valued function r(t) = (√t+3, In(2 – t), t²)

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Q: (1 point) Suppose that f(x) is a function with f(125) = 52 and f'(125) = 9. Estimate ƒ(127) f(127) =

A: See this solution in below.

Q: What is an upper bound for the error in 25 approximating (5x² + 3) dx using the trapezoidal rule…

A: We need to find the upper bound of the error

Q: Solve the equation 9x cubed + 9x squared - x - 1=0 govem tjat -1/3 is a zero of f(x)=9x cubed + 9x…

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Q: 3. Find the linearization of f(t) = = this to estimate f(3.05). 3t t² +3 at t = 3 and use

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Q: Suppose that y varies directly with x, and y=18 when x=-3 a) write a direct variation equation…

A: Suppose that y varies directly with x, and y=18 when x=-3 a) write a direct variation equation…

Q: 6(x − 1)²

A: We need to find the derivatives of the following expression   Where, fx=6x-17   Useful formula÷…

Q: Laplace transforms. y' + 9y = 0, y(0) = -1

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Q: The volume V of a fixed amount of gas varies directly as the temperature T and inversely as the…

A: Given: the volume V varies directly as the temperature T and inverselyas the pressure P.Therefore, V…

Q: tanh x = 12/13, find the values of the other hyperbolic functions at x.  *please use hand writing…

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Q: an+1 Use to show that the sequence given by an (a) (c) Strictly increasing (b) Strictly decreasing…

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Q: Divide using long division. State the quotient q(x) and the remainder r(x) 8x cubed - 5x squared +…

A: Solution- Given Dividend=8X3-5X2+9X+2 Divisor = 8X2+3X+5 remainder =? quotient q(x)=?   by Long…

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: Given function f(x) below defined as: 2 f(x): 1 f(x)=2/x k Find the value of k such that the shaded…

A: Given Function: fx=2x Area under a curve – region bounded by the given function, vertical lines, and…

Q: f(t) = 5e-7t

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: Graph f(x) = X (G) O A. and g(x) = log 1/8x in the same rectangular coordinate system. Choose the…

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Q: Graph the solution to the following inequality on the number line. x2>4x

A: We need to graph the solution of the inequality on number line.

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: If h (2) = 5 and h'(2) = -4, find d /h(x) dx h(x)) x = 2

A: we use quotient rule here

Q: Solve the given differential equation (where the function is subject to the given conditions) by…

A: Let's solve given diffential equation by using Laplace transform.

Q: what is an improper integral?

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Q: Find the equation of the sphere if one of its has endpoints (6-7, 8) and (8, -3, 19). diameters 1=0

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Q: -4z The function f(x) = (7x - 7)e` x = has one critical number. Find it.

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Write the expression as the logarithm of a single quantity. 5) ——— In(x³ + 3x) - 2 In(5)

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Q: Use the graphs for f(x) and g(x) to evaluate the expressions below. Write your answer as a whole…

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Q: A company has $10,890 available per month for advertising. Newspaper ads cost $130 each and can't…

A: Given that  The total money available per month for advertisements is $10890.  Newspaper ads cost…

Q: Use substitute method to solve the two system ec -= x - 4y (1) dx #1: dt dy -= x+y (2) dt

A: As per our guideline we supposed to answer only first question  Given system dxdt=x-4y…

Q: Find an equation of the tangent plane to the surface at the given point. x² + y² - 52² = 108,…

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Q: F(g) = √ 39 29 2-g if g≤0, tang if 970,

A: Given data, The function is continuous at g= 0. Determine if it is differentiable at g = 0.…

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

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Q: Use power reduction formulas to fill in the blanks in the identity below: (sin(3x))¹ = 1 += cos( x)…

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Q: An unknown radioactive element decays into non-radioactive substances. In 480 days the radioactivity…

A: The decay formula: Nt=N0e-λtwhere Nt=Amount of substance left after 't' days            N0=Intial…

Q: The total cost (in hundreds of dollars) of producing x calculators per day is given by the equation.…

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Q: Find the time it takes for $9,400 to double when invested at an annual interest rate of 13%,…

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Q: The boxplot below shows salaries for Actuaries and CPAs. CPA HC Actuary 30 40 70 80 90 100 110 Q 50…

A: First we will plot the minimum, first quartile, median, third quartile, and maximum as shown below

Q: Use the Bisection Method to approximate, accurate to two decimal places, the value of the root of…

A: Here we have to use the bisection formula for solving the question.

Q: Given f(x, y) = 2xy - x²y. Compute: 8²f dx² 8² f dy²

A: Given data:- fx, y = 2xy4-x2y

Q: You deposit $5000 in an account earning 2% interest compounded continuously. The amount of money, A,…

A: We will find the required.