A wolf population is growing exponentially.  In 2011, 129 wolves were counted.  By 2013, the population had reached 236 wolves.  Write the equation representing the population N of wolves over time t. Write your answer in the form a(b)t. Round your b value to 3 decimal places.

Q: Find the centroid of the region bounded by the given curves. y = x3,    x + y = 30,    y = 0

A: y = x3,    x + y = 30,    y = 0 The region bounded by the given curves is represented as The curves...

Q: Find the equation of a circle centered at (1, −1) and tangent to the line 2x + 3y = 12

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Q: Find the side labeled x. round answer to one decimal place. x =

A: Given two right angle traingles one inside the other  Represent the vertices with A,B,C,D and use TA...

Q: pehmath.com/assess2/?cid%3D78800&aid%3D5623549#/skip/1 Draw the graph of f(x) = 2° 10 + 8- 7- 6- 5- ...

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Q: Find the exponential function that passes through the points (−2, 8/9)and (4.1 , 8.6). Round the num...

A: (−2, 8/9)and (4.1 , 8.6).   Let the required exponential function be  f(x)=a(b)x

Q: Differentiate the function. y = x−2/3

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Q: Find the indicated derivative. dy for dx 1- 2x2 x* - 2x2 + 3 = dy dx

A: Quotient rule: ddxfxgx=gxdfdx-fxdgdxgx2.

Q: Let C(x) be the cost to produce x batches of widgets, and let R(x) be the revenue in thousands of do...

A: Consider the given: The y-intercept of Cx is at-Cx=x+24For y-intercept, x=0C0=0+24C0=24Hence, The y-...

Q: 2. For r(t) = (4t + 3)i+t²j+ (2t² + 4)k, (a) find r'(t), (b) find r"(t), (c) find r'(t) r"(t),

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Q: (Questions 7-8) A triangular prism ABCDEF has a base of the shape of an isosceles ABC with height 18...

A: As the given information about the prism, sketch the prism.

Q: Write the parametric equations x=2sinθ,y=9cosθ,0≤θ≤πx=2sin⁡θ,y=9cos⁡θ,0≤θ≤π in the given Cartesian f...

A: Given information: The parametric equations are x=2sinθ            y=9cosθ             Can be writte...

Q: Question Let h(x) = f(x)g(x). If f(x) = x² 1 and g(x) - 4x – 2, what is h' (–2)? Do not include "h' ...

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Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer...

A: (a) Consider an=3lnn25n. Take limn→∞ on both sides of an. limn→∞an=limn→∞3lnn25n          =∞∞ The ab...

Q: Use the shell method to find the volume generated by revolving the shaded region about the y-axis. 5...

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Q: if you could please help me solve and show work. i will gladly rate you! thank you so much for the h...

A: Solution is Attached 

Q: Please explain as detail as possible, thanks.

A: f'(x)=0 simply means that the slope of f(x) is zero for the value of x for which f'(x) is zero.  

Q: A cable TV company has 4,800 customers paying $130 each month. Suppose each $1 reduction in price at...

A: Let say, x  =reduction in price (dollars)C(x) =Number of cutomer as a function of reduction in price...

Q: Find the indefinite integral. (Use C for the constant of integration.)   Please see image

A: We know that, ∫xndx=xn+1n+1+C

Q: Find the solution of the differential equation that satisfies the given initial condition. dP/dt=√ ...

A: To solve the differential equation dPdt=Pt,        P1=6

Q: Let r(x) = f(g(h(x))), where h(1) = 2, g(2) = 5, h'(1) = 4, g'(2) = 4, and f '(5) = 5. Find r'(1). r...

A: Answer is 40 Explanation is given below...

Q: please help me solve for dy/dy! i was able to get the first 2 parts but i am having a difficult time...

A: Given equation is ylnx4+y4+1=5 Then Fx,y=ylnx4+y4+1-5 Also, Fx=4x3yx4+y4+1 and Fx=4y4x4+y4+1+5y

Q: Solve each of the following for x. (Hint: Use the properties discussed in class or your understandin...

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Q: The diagram below shows an area enclosed between a parabola and a straight line. Determine this area...

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Q: In the following exercise, use a graphing utility to graph the function then determine the interval ...

A: The function is f(x)=4xx-3   To determine: The graph of the function and interval at which function ...

Q: I humbly ask your assistance for this problem. Thank you.Find out whether the equation 9x2 + 126x - ...

A: Since the coefficient of x2 is positive and y2 is negative. Therefore, it is a hyperbola 9x2 + 126x ...

Q: Find the derivative of the function. 1 + e5x e 5x 3x e

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Q: If Lim [x3 – g(x)] = 12 as x tends to 3, use the Rules of Limits to find Lim g(x) as x tends to 3.He...

A: Given: limx→3x3-gx=12

Q: Let f and g be the functions in the table below. f(x) g(x) f '(x) g'(x) 1 3 2 4 1 3 7 3 2 7 (a) If F...

A: NOTE  We’ll answer the first question since the exact one wasn’t specified. Please submit a new ques...

Q: Find the derivative.

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Q: The graph of f is given. State the numbers at which f is not differentiable. X = (smaller value) X =...

A: It is known that a function is said to be not differentiable at a point where its graph has a sharp...

Q: Deandre's body metabolizes caffeine at a rate of 13.4% per hour (so the amount of caffeine in Deandr...

A: Given Deandre's body metabolizes caffeine at a rate of 13.4% per hour.  => the amount of caffeine...

Q: simplify the trig expression. 8/1-sin(a)+8/1+sin(a)

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Q: Horizontal Tangent line. Determine the points (if any) at which the function has a horizontal tangen...

A: Given, y = x2+9 For horizontal tangent line, slope of tangent line = 0 ∴ y' = 0 => 2x = 0 => x...

Q: Suppose you are drinking root beer from a conical paper cup. The cup has a diameter of 8 cm and a de...

A: Given, The diameter of a conical paper cup is 8 cm Therefore, the radius of the cup is 4 cm The dept...

Q: particular solution (y-sqrt(x^2+y^2)dx-xdy=0 when x = 0 y = 1

A: The given differential equation is y-x2+y2dx-xdy=0. Solve the above equation as follows. y-x2+y2dx-x...

Q: What are the possible rational roots of the polynomial equation? Drag the values into the box to cor...

A: Consider the equation 3x8+11x5+4x+6=0 We have to find the possible rational root. For finding ration...

Q: Evaluate f(x) at x=1, 6, and 4.Evaluate f(x) at x=1.f(1) =______Evaluate f(x) at x = 6.f(6)=______Ev...

A: Solution :-

Q: EXAMPLE 2 Differentiate (a) y = sin(x³) and (b) sin3(x). SOLUTION (a) If y = sin(x³), then the outer...

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Q: Please show me how to get the answers.

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Q: A farmer plans to enclose a rectangular pasture adjacent to a river (see figure). The pasture must c...

A: Let length = x Breadth = y Perimeter = x+2y  Area = xy = 20000 y=20000x

Q: Find the domain of the function I+ 5 f(x) = x2 - x 20 Select one: O a. (-00, -4) U (-4, 5) U (5, 00 ...

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Q: To find the derivative of the function, we will use the formula f(x) – f(a) х — а f'(a) = lim 7x For...

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Q: If  F(x) = 10x/(1 + x2), find F '(3) and use it to find an equation of the tangent line to the curve...

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Q: Given that 2x3 f(æ) g(x) g(2) = 3 gʻ(2) = 4, determine f' (2).

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Q: Use the rule for recipocals : f '(x) f?(x) d 1 dx [ f(x) to find the following derivatives (quickly)...

A: Given: Reciprocal Rule: ddx1f(x)=−f'(x)f2(x) Find: 1)  ddx1x2+2x+1=?2)  ddx1sinx+ex=?3)  ddxπx+1=?

Q: I've been trying to solve this circle for 3 hours, please help. Thanks!Find the center and radius of...

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Q: Find the inflection point, if it exists, of the function. (If an answer does not exist, enter DNE.)1...

A: Let the given function is g(x)=4x3-6x2+9x-2 An inflection point of the function y = f(x) is a point ...

Q: Curve sketching using limits and derivatives. Evaluate the function using algorithms and formulate c...

A: We are answering only three subparts as per our honor code. The function f(x)=4x2-1x3, we have to an...

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.