4-3x Consider the function y=e¹-3. Find y'.

Q: The position of an object in circular motion is modeled by the given parametric equations, where t…

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Q: The number of cars produced when a dollars is spent on labor and y dollars is spent on capital…

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Q: In the same problem, can you review D?

A: NOTE: Refresh your page if you can't see any equations. . the answer for Part(a) is partially…

Q: The sum of two positive numbers is 30. What is the smallest possible value of the sum of their…

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Q: What is the derivative of f(x) = ln(x)? x-1 ex X X In(x)

A: To find the derivative of given function

Q: How many virus cells will be produced over the first two hours after the time of infection? (over…

A: We are given,  Rate of the virus, dV/dt = 150 * 2t - 30 Therefore, at any time t, the number of…

Q: Yܸ•♥♥ð 20+ gxxs - 4. Find the equation of the tangent line to the ellipse E: 6x²+4y² = 24, which is…

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Q: solution is incorrect

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Q: Suppose that X is a binomial random variable with n=300 and p=0.2. Approximate the probability that…

A: Probablity to find the x≤r by binomial distribution is…

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Q: If f(x)= square root x​,find f′(3).

A: Given  f(x) = square root x        = √x        = x^(1/2)

Q: (a) lim h→0 (b) lim x-0 e cos² h - 1 h 1 + tan x X √1 - tan x

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Q: The speed of a tsunami (in meters per second) is approximated by S = √gd, where g is the…

A: Given s = gd2where g = 9.8 ms2d = depth of water s = speed of tsunami

Q: finr the exact solution 2*In(4x)=30

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Q: Look at the effects of different bases on f(x) = log(x): -5 140 x

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Q: The economy of a small island nation is based on two sectors, coal and steel. Production of a…

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Q: 24 Write the expression (e-³)¯ in the former for a suitable constant k. Determine k. Give your…

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Q: Suppose a life insurance company insures the lives of 5000 men aged 42. If actuarial studies show…

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Q: Find the average value of the function over the given interval. f(x) = 8x + 1 on [0, 6]

A: Given: The average value of the function over [0, 6] will be: favg=16-0∫06(8x+1)dx       =16· 150…

Q: For the​ function, find the​ point(s) on the graph at which the tangent line has slope 7. y=…

A: The given function y=-0.025x2+3x We have to find the​ points on the graph at which the tangent line…

Q: Given ƒ''(x) = 9x − 3 and f'(0) = 5 and f(0) = -6. Find f'(x) = and find f(1) = 3x + 5

A: We have to find value of f(1).

Q: Write the expression in terms of first powers of cosine. Do not use decimals in your answer. Make…

A: Solve the following

Q: Consider the following function. f(x)= 15x+1 (a) Find the critical numbers of f. (Enter your answers…

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

Q: Use the product rule to find the derivative of the given function. b. Find the derivative by…

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Q: A cylinder (round can) has a circular base and a circular top with vertical sides in between. Let r…

A: The solution of the problem is given in the next steps.

Q: ermine whether the following series converges. Justify your answer. Σ k=1 A. O B. 8 + cos 4k mple…

A: Given query is to find series converges or diverges.

Q: dy/dt = 2.5. 9. Given y = e2x+1, find dy/dt when x = 4 and dx/dt = 0.5. 3r C: (d when x = ? and

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Q: Consider the following function. f(x)= -8x3 + 24x + 7 (a) Find the critical numbers of f. (Enter…

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Q: A cell culture contains 7 thousand cells, and is growing at a rate of r(t) = 2e0.09t thousand cells…

A: Let's find total cell count after 3 hours.

Q: ● Solve the following following 3-4/x+3/21

A: As per the rules we are supposed to answer the first question and rest others can be reposted.

Q: 3x²ydx + (y + x³)dy = 0 a. b. xydx + y²dy = 0

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Q: x² dx 2 √x² + 16

A: NOTE: Refresh your page if you can't see any equations. . ....................(1) substitute  take…

Q: Evaluate the double integral D of ysin(xy)dxdy D = [1,2] x [0,pi]

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Q: Alexandria has $800,000 saved for retirement in an account earning 3.85% interest, compounded…

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Q: Find the following using the table below. 1 2 3 4 3 4 2 1 4 X f(x) f'(x) g(x) g'(x) 2 1 4 2 1 34 3 1…

A: The given table is: Find h'4 if hx=fx.gx

Q: Question ( ,. For the limit, Select one: O True O False 2x² sin x + 3y³ lim (x,y) →(0,0) 3x³ + 2y²…

A: lim(x,y)→(0,0) 2x2sinx +3y33x3+2y2 apply the limit for this  this is the question of limit and…

Q: A few steps in the process of simplifying the given matrix to row-echelon form, with 1s down the…

A: Given: To find the missing numbers

Q: Use the Definition to find an expression for the area under the graph of f as a limit. Do not…

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Q: Rewrite the given iterated integral using cylindrical coordinates. Do not evaluate the integral. 3…

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Q: the limits of the following questions. (i) lim 1-2x X-0

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

Q: Please use a double integral (in polar coordinates) to derive the formula for the area of a circle…

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Q: INSTRUCTIONS: Evaluate, and simplify if needed, the following hyperbolic related expressions... (a)…

A: Three problems are given. We have to solve these accroding to their operations.

Q: Evaluate the following integral over the Region R. (Answer accurate to 2 decimal places). √ √ 12(1 -…

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Q: Consider the following function. f(x) = x1/5 + 7 (a) Find the critical numbers of f. (Enter your…

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Q: Find the equation of the surface in cylindrical coordinates, given the equation in Cartesian…

A: If (x,y,z) in Cartesian coordinate system and (r,θ,z) in cylindrical coordinate system. Then,…

Q: Find d2y/dx2   y=−9x8−5

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Q: Which one of the following is a solution of the equation 4costheta+6sqrt2=4sqrt2 a. pi/4 b. 7pi/4…

A: We need to find out the correct choice from the options which is the solution of the equation.

Q: Use a finite sum to estimate the average value of f on the given interval by partitioning the…

A: Given, Use a finite sum to estimate the average value of f on the given interval by partitioning the…

Q: Find the partial fraction decomposition Jam for the rational expression. ухта (x+2) (2x-1) (1

A: solving the problem by finding the value of the problem.

Q: how do you shade 1/5 of a grid

A: The given data is: How do you shade 15 of a grid?