Write an equation for an exponential decay function where the initial population is 2700 and the decay factor is NOTE: Use t for the independent variable. P(t) =

Q: Evaluate (2x + 4)(3x + 2) d dx A) 6 C) 12x + 16 B) 6x² + 16x + 8 D) 30x² + 43x + 8

A: Given query is to find the Indicated derivative.

Q: PZ π/2 54 3 2 1 -2 -3 -4 -5 Find lim f(x) = The graph of the function f(x) = tanx is given above for…

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Q: Find a parametrization of the parabola x = y². Don't forget an interval for the parameter. (Hint:…

A: Please see the below picture for detailed solution.

Q: x=t-2 and y= Part: 0 / 2 Part 1 of 2 =-=-=-2 (a) Eliminate the parameter and write an equation in…

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Q: 3x² x² +2 Find the critical values of f(x)=·

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Q: Find the derivative using trigonometric identities: 1. f(x) = 2 sec(x) - 7 cot(x)

A: Dear student, as per Bartleby policy we are allow to solve one doubt at a time.please repost other…

Q: Let F(x) = f(x7) and G(x) = (ƒ(x))¹ . You also know that a = 7, ƒ(a) = 2, ƒ'(a) = 15, ƒ'(a¹) Then…

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Q: graph each equation.   y = 2x

A: Given data:- The given equation is, y=2x

Q: Simplify the expression to a single trigonometric function. cot (t) csc(t)

A: cot(t)=cos(t)sin(t)csc(t)=1sin(t)

Q: C) Evaluate m√m - 1 dm D) Evaluate 32 dy

A: As per the guidelines we are supposed to answer only one question at a time. If you want answers of…

Q: Given the differential equation: (4xy + 3y² - x) dx + x(x + 2y)dy = 0 The solution to the…

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Q: Use synthetic division to determine if the given value for k is a zero of this polynomial. If not,…

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Q: lim 1 - cos(sin(³-1)) 73 - 1

A: As per the instruction, we will be answering the first question. The graph of y=1-cossinx3-1x3-1.

Q: Find the general form of f if f'(x) = 5f(x) f(x) =

A: Given query is to find the value of the integral.

Q: 11 Find the derivative of f(x) = -15sinx + +3√√x-5. X

A: Given function:- fx=-15sinx+11x4+3x7-5

Q: . For what values of r does the function y = er* satisfy the differential equation y" - 4y' + y = 0?

A: Please see the below picture for detailed solution.

Q: If ƒ(x) = 8x¹¹(»), find f'(8).

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Q: Evaluate the limit lim x →∞ 5x² + 3x 7x4 + 2x² + 10

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Q: Authorities conducted an investigation and found that the chemical Trioxin was illegally dumped into…

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Q: Find an equation for the tangent plane and parametric equations for the normal line to the surface…

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Q: The limit lim h→0 f(x) a = = In(e +h)-1 h represents f'(a) for some function f and some number a.…

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Q: For a particular function h, we know h 0 (2) = 6 and h(2) = −3. Write an equation for the line…

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Q: 3 x² + y² the direction of (−3, −3). Then, Suppose f(x, y) (a) ▼ ƒ (x, y) (b) ▼ ƒ(1,4) = = = 1/77…

A: This question can be solved using the concept of derivatives and vectors.

Q: (b) Let y = (2x + 1) cos. Compute by using logarithmi dy dx

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Q: In 2004, an art collector paid $172,536,000 for a particular painting. The same painting sold for…

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Q: Find the given limit (x² - 1)(y² - 4) lim (x,y) →(1,2) (x - 1)(y-2)

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Q: Suppose 11, 32 is a point on the graph of y = f1x2.(a) What point is on the graph of y = f1x + 32 -…

A: Given: Point 1,3 is on the graph of y=f(x). i.e. f(1)=3   (a) To determine the point on y=f(x+3)-5…

Q: Find the directional derivative of the function f(x, y, z) = √xyz at the point (3, 2, 6) in the…

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Q: Evaluate the difference quotient for f(x) = −x³ +· O 3x²+3xh-h² O h² O-h² O-3x²-3xh-h²

A: See the details solution in below

Q: (a) Using a graphing utility, graph f1x2 = x3 - 9x for- 4 ... x ... 4.(b) Find the x-intercepts of…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Find dx dx || by implicit differentiation. 6x² + 7xy - y² = 8

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Find the limit, or show that it does not exist. 2x - y lim (x,y) (0,0) y + x²

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Q: The domain of f(x) is all real numbers except x - 3 x + 5 f(x) = Blank 1:

A: The objective of the question is determine the domain of the given function.

Q: Solve by the method of your choice:From a club of 20 people, in how many ways can a group of three…

A: Given data, n=20 r=3

Q: 1. y' + ytanx = COSX; y(x) = (x + c)cosx; y(π) = 0

A: y'+ytanx=cosxy(π)=0proove that  solution isy(x)=(x+c)cosx

Q: (1 point) Find the limit of the function lim (x,y) →(0,0) sin(√x² + y²) x² + y² f(x, y) as (x, y) →…

A: See this solution in below.

Q: The answer was not correct... i think they were wanting some kind of answer closer to like…

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Q: 9x²9x + 54 x³ + 3x 1² dx

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Q: Consider the integral given by Using the following definition of the integral Ax n 4 [ (x² + 2x - 5)…

A: Solution

Q: f(x) = In (x + 9)

A: Given  f(x) = ln ( x + 9 )

Q: Find the following using the table below. 1 2 3 4 3 X f(x) 4 12 f'(x) 4 1 2 3 g(x) 4 132 g'(x) 4 1 2…

A: We have to find  h'(3) if h(x)= f(x).g(x)  h'(3) if h(x)=f(x)/g(x)  h'(3) if h(x)= f(g(x))

Q: Find the x-intercept(s) of the following function. f(x)=x² - 4x +3 Give your answer as ordered pairs…

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Q: Let f(x) be the function 9 x² − 3 x + 4. Then the quotient a = Number and b = Number f(4+h)-f(4) h…

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Q: what is the answer to the problem

A: We want to use implicit differentiation to find partial derivatives.

Q: A triangle has vertices (0, 0, 0), (1, 1, 1), and (0, −8, 9). Find its area.

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Q: If f(x) = sin(x³), find f'(x). 3x² cos(x³) Find f'(2). ४ OF

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Q: A tube is being stretched while maintaining its cylindrical shape. The height is increasing at the…

A: NOTE: Refresh your page if you can't see any equations. .   (height is increasing at a rate of 2…

Q: Graph the function y = sqrt(|x|)

A: Given data:- The given function y= sqrt(|x|)

Q: I used the permutations formula to determine the number of ways people can select their 9 favorite…

A: The following claim: "I used the permutations method to calculate how many different possibilities…

Q: Use the washer method to find the volume of the solid obtained by rotating the region bounded by y =…

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