Find a formula for the inverse of the function. \\ f(x) = f-¹(x) = 1+e 1-e

Q: Evaluate the function for the given value of x. r(x)=3x, p(x)=x2+6x,(p-r)(x)

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Q: Find the critical numbers for h(x)=x^2-x^4. Show all work.

A: The objective of the question is determine all the critical point of the given function.

Q: The dose-response curve for x grams of a drug is f(x) = 8(x − 1)³ + 8 for x ≥ 0. (a) Make sign…

A: The solution is given below

Q: Determine the graph of the equation. -x² - y² =z Choose the correct graph of the equation. O A. at…

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Q: Write an equation for the function graphed below 5+ 4 3 2 1 -7 -6 -5 -4 -3 -2 -1 -1 -2 -3 y = -5+ 1…

A: topic- graph of a function

Q: 12 f(x) = x² - 6x² + 2 Determine the intervals on which f(x) is increasing/decreasing and identify…

A: Given,  f(x)=x125-6x25+2

Q: Write the expression in algebraic form. [Hint: Sketch a right triangle, as demonstrated In Example…

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Q: A math teacher won a lottery that pays $1,000 per month for the next 20 years. But, he prefers to…

A: To find out the amount that the teacher will accept now.

Q: (2x +3y) dx + (y +2) dy = 0

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Q: 14) At what point on the graph of f(x) = instantaneous rate of change? a. x=8, x=2 b. x = 4 2009-2…

A: Given fx=x-8x-2x-4

Q: Determine csc(x) + cot (x) if tan x + sec(x) = 22/7. 27/12; 29/15; 24/18; 23/11

A: We can answer the question by finding the correct option as below.

Q: f(x)= x/pi + pi/2+ pi/x + 2/pi Find the derivative

A: Let f(x)= x+a, a is a constant So, f'(x)=1

Q: z²i+xzj+ye² of the sphere x² + y² + z² Given F = 2 [[ S 50 that lies inside the cone z = √x² + y²…

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Q: The function is not one-to-one. Delete part of the domain so that the function that remains is…

A: Here we have to find the inverse function.

Q: 12 0 6 <<← ?° Q

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Q: Evaluate the definite integral: f (x · cos(2x)) dx. Enter the exact decimal value. A graph of y = x…

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Q: a ht C1 For the function f(x,y) = 4x² + 7y², find the following. a. b. f(x+h,y)-f(x,y) h…

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Q: Use implicit differentiation in finding y' . x²y+xy² =6

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Q: Given F(x, y, z) = ei + (xe + e*)j + ye² k. (a) Show that F is conservative by finding curl F. (b)…

A: use the fundamental theorem of calculus and partial derivative for finding the line integral.

Q: Estimate the area under the graph of f(x) = approximating rectangles and right endpoints. R₁ = 1 x²…

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Q: What is the domain of the reciprocal function of f(x) = 5x+1? {x € R\x2} c. b. (x=Rxs-) a. d. {x =R…

A: We can answer the question as below.

Q: Given that log a ( 2 ) = m and log a ( 3 ) = n , write exact expressions in terms of m and/or n for…

A: Write expression in terms of m and n for each of the following.

Q: 9-x2 x dx

A: ∫9-x2x2dx=∫cot2udu=∫ -1+csc2udu=-∫ 1du+∫csc2udu=-u-cotuSubstitute back…

Q: 1 yy" + (y)² = yy' y(0) = 1, y'(0) =

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Q: Find three positive integers x, y, and z that satisfy the given conditions. The sum is 33, and the…

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Q: Evaluate lim 74 x →0 COS 218

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Q: PLEASE

A: As per policy only first question is answered. Please refer to the image below

Q: For So √ 1² dt. use a change of variables to evaluate the definite integral. √5+t²

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Q: Evaluate the limit lim_ (8x² + 4) (6x + 8 →7

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Q: Vf(1, 3) =

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Q: The volume of the paraboloid resulting from the rotation of a cylindrical vessel is: Select the…

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Q: Find and graph the level curve of the function g(x,y)=x^2+y^2-6x+2y corresp

A: the answer is given in step2

Q: 69. Tangent Line Find an equation of the line tangent to the circle x² + y² = 169 at the point (5,…

A: The tangent line to the circle x2+y2=169 at the point 5,12

Q: Integrate using the fundamental theorem of calculus

A: Our Aim is to evaluate the integral given below using Fundamental Theoem of Calculus.∫01x4+12 dx…

Q: Write an equation for the function graphed below. The y intercept is at (0,0.3) 5+ 4- 3 5-4-3 1 1 2…

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Q: Solve the given differential equation by undetermined coefficients. y" + 6y' + 5y = 10 y(x) =

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Q: Find the limit of s(n) as n → ∞0. ( s(n) = 4 n n(n + 1)(2n + 1) 8

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Q: 4. A tank contains initially 400 liters of brine holding 100 kg of salt in solution. Water…

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Q: If you invest $5000 compounded continuously at 4% p.a. how much will this investment be worth in 5…

A: The initial amount P=$5000 Rate of interest r=4%=4100=0.04 p.a. The time period t = 5 years

Q: The profit from the supply of a certain commodity is modeled as P(q) = 30 + 50 In(q) thousand…

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Q: 1 g(x)= {x-1 if x > 0 |x² −1 if x≤0

A: The given function, gx=1x-1if x&gt;0x2-1if x≤0

Q: 3. From a thin piece of cardboard 14 in by 14 in, square corners are cut out so that the sides can…

A: This question can be solved using the concept of maxima and minima.

Q: When Newton's Method is used to approximate the root of f(x) = x³ + 2x² - 1 in in the interval [0,…

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Q: 4 3 1 -1 & Find lim The graph of the function f(x) = tanx is given above for the interval z = [0,…

A: Topic = Functions

Q: Consider a pool shaped like the bottom half of a sphere, being filled at a rate of 25ft^3/min.the…

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Q: 10. 2ste tds +(s²e-t - t)dt = 0

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Q: . Find the open interval(s) on which the function is increasing and decreasing.

A: Given :f(x)=9x3-11x

Q: Given that the graph of f(x) passes through the point (4, 2) and that the slope of its tangent line…

A: Recall: The slope of the tangent line to the curve f(x) is f'(x).

Q: ∞ Determine whether the series (-1)-In -1/3 is absolutely convergent, conditionally conver- n=1

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Q: Find the area of the region bounded by the graphs of the given equations. y = 6x-x², y = - 2x The…

A: The given curves are: y=6x-x2, y=-2x   Now find the point of intersection between the given curves.…