Graph: G(t)= -7/(2+t)2

Q: 3, 7(1.99)² +4.02

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Q: The revenue per month earned by the Couture clothing chain at time t is R(t) = N(t)S(t), where N(t)…

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Q: Evaluate lim f(x) and lim f(x). X→-2- X→ - 2+

A: Given the function f(x) = 8-6x if x < -2 and 4x2-5 if x > -2 We have to find  limx→-2-f(x)…

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A: We are going to find out

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Q: Calculus f(x)=ax^(3)+b is an odd function and curve of function passes through the point (2,8), then…

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Q: Find the derivative of f(x)=9sinx-+7x³. O O O O a.) 27 f'(x) = -9cosx + +370 +21x² 10 b.) f'(x) =…

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Q: A couple purchasing a home budget $1900 per month for their loan payment. If they have $18,000…

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Q: Find the amplitude, period, and horizontal shift of the function. y = cos(-x) amplitude period…

A: for f(x)= Acos(Bx-C)+Damplitude is |A|period is 2πBHorizontal shift is CB

Q: A population P exhibits logistic growth according to the model dP di 0.05P 1- that the explicit…

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Q: The population of a town is increasing at a rate given by P'(t) = 55 e 0.014t where P is the…

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Q: Suppose the revenue from producing and selling a units of a product is given by R(x) = 3x – 0.01x²…

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Q: Assuming that b is positive, solve the following equation for b. b -1 b (3x-9)dx=21 Round your final…

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Q: Under which of the following cases would we want to consider Yp the form of our particular solution?…

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Q: A can of soda is placed inside the refrigerator. The soda has an initial temperature of T = 70-F.…

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Q: Given f (x) = 3x - 5 and g(x) = 2x² Find f(g(-1))

A: first put x=-1 in g(x) and put g(x) value in f(x)

Q: The population of a town is increasing at a rate given by P′(t)=48e0.012t​, where P is the…

A: see below the answer and calculation As per Bertleby guideline we have to solve only first question.…

Q: -8 (†)+($ 4

A: The rows of vectors are added individually.

Q: The graph of one complete period of a sine curve is given. 1 4 (a) Find the amplitude, period, and…

A: I am attaching image so that you understand each and every step.

Q: Obtain the general/particular dy dx = solution for the given differential equation. 3+ y + 2y² sin²x…

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Q: 1. Find all values of k for which the function r2 _ 52 – 6 - 2x - 4 is continuous at x = 2. f(x) =…

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Q: In the year 2000, 30% of U.S. adults were abese. The rate increased to 34% in 2008. Find the linear…

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Q: Calculate the limit at (1, 2, 3) ? (?, ?)  = x 2 y  tan (xz)…

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Q: y (3x² + y²) dx + x(x²+ 3y²) dy=0

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Q: The graph of one complete period of a sine curve is given. y 7 horizontal shift y = 4 (a) Find the…

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Q: 2. a) Find algebraically the x-intercept of y = 2 log x. b) Show algebraically that y 3log has an…

A: In order to find  x - intercept put y=0 in all three given function

Q: Write out the form of the partial fraction decomposition of the function (as in this example). Do…

A: In the problem a Since the degree of the numerator is not less than degree of the denominator we…

Q: Find the derivative of the function at På in the direction of A. 0 f(x,y,z) = xy + yz + ZX,…

A: Topic = Vector

Q: Answer d,e and f

A: Concept: The value of the x coordinate at the point where the graph intersects the x-axis, or…

Q: 10. Show that the limit of the function f(2)= (-³)* asz tends to 0 does not exist.

A: To show that the limit of the function fz=zz2 as z tends to 0 does not exist.

Q: Given right circular cone 1- slant height r-radius surface area, A = πr² +πrl. If value of r changes…

A: The value of radius and slant height of the cone are r = 6 m and l = 12 m The change in radius of…

Q: Using the graph of f(x) = -6 -5 70°F Partly cloudy (x) = 1/1 x ²₁ -4 -3 TV N - estimate the…

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Q: Suppose that the fish population P(t) in a lake is attacked by a disease (such as human being who…

A: Given data:- According to the question, the birth rate of the fish population is zero and the fish…

Q: Find an integrating factor that is a function of only one variable, and find an implicit solution: y…

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Q: Find the tangential and normal components of the acceleration vector for the curve F(t)= (3t, t5,…

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Q: Problem #5: Find the volume of the solid bounded by the graphs of r = 2 sin 30, = = 7+ √√x² + y², =…

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Q: Solve the following differential equations: dy (a) = 2+ y; dr dy da (b) + sin(x)y 2 sin(x). =

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Q: Find an equation of the tangent line to the curve at the given point. y=5x-2(sqrt(x))(1,3)

A: The equation of the curve is given by y = 5x-2x The point on the curve is given by x0, y0 = 1, 3…

Q: -3 N (0, -8) 3 X H

A: Topic = Polynomials

Q: malize the vector ₁ || -1

A: Topic:- function and vector

Q: If f(x) = 2 cos(x), 0≤x≤ 37, evaluate the left Riemann sum with n = 6, taking the sample points to…

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Q: Use the limit definition to compute the derivative of the function f(t) = at t = -4. (Use symbolic…

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Q: x3-27 x+3x-7x+12 using direct substitution. Evaluate lim O a.) b.) c.) d.) x³-27 x+3x-7x+12 lim…

A: We can find the limit .

Q: Use the definition of derivative f'(x) = lim h→0 f(x+h)−f(x)/h to find the derivatives of the…

A: Here is the solution:

Q: d 2) Find da −ln(sin æ — cot x) Show all steps.

A: Given :- ddxln(sinx - cotx) Concept :- ddxsinx = cosx, ddxcotx = - cosec²x Now, ddxln(sinx - cotx)…

Q: Find the directions in which the function increases and decreases most rapidly at Po. Then find the…

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Q: Let f(x)=x^3 e^x /4. Find f'(2)

A: We have to find out derivative

Q: Suppose a leak develops in a pipe, and water leaks out of the pipe at the rate of L(t) = 0.7t +3…

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Q: Exercice. 1.) Given A = 31-j +2k B = 21+i-k -K a = 1 -2₁ +2k -j Verify the two fundamental…

A: Given: A=3i-j+2k B= 2i+j-k C=i-2j+2k To verify the two fundamental properties of triple vector…