Let 14 f(x) = (3x²-5) 5 (- 5x² +9) ¹4 f'(x) = > Next Question

Q: If (fg)(x) = h(x) such that (x)=√x+6, which of the following could accurately represent f and g?…

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Q: 3. At 2:00 p.m. a car's speedometer reads 40 mph. At 4:00 p.m. it reads 80 mph. What can we say…

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Q: 3. Find all values of in the interval [0,2r] that satisfy the given equations. Your answer(s) must…

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Q: The maximum number of rabbits, R, that an area can support is 100, there are currently 20 rabbits,…

A: A detailed solution is given below.

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: 6. Let P = (2,7) and Q = (-1,5). (a) Find an equation for the line through points P and Q. (b) Find…

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Q: Find the total area of the shaded region. Ay 12 10- 8- 6- 4- y=x NO 2- Co y=7 y= 2 X 28 8 10 12 14 >…

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Q: expand e^2x in powers of (x-1)

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Q: 3G III. T ⊙ 곤 Question Seve.... Let A be the square matrix [203] 0 1 4 l1 0 1 Find, if possible, a…

A: The given matrix is;  A= 2 0 3        0 1 4       1 0 1.

Q: The following parametric equations trace out a loop. Find the t values at which the curve intersects…

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Q: A car was valued at $33,000 in the year 1994. The value depreciated to $12,000 by the year 2006. A)…

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Q: Find an equation of the plane with the given characteristics. The plane passes through the point…

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Q: 4. Use Laplace transformation to solve the following differential equations. Make sure to show all…

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Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(2,…

A: Given points, A(1,1,3) B(2,7,1) C(4,10,-6) D(3,4,-4) Let a,b,c,d, are position vectors of point…

Q: Given a function f(x) = 3x² + 4, what is the average rate of change of fon the interval [2, 2+ h]? O…

A: Topic = Functions

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) (2³²₁ -j+e-6tk lim t0 e³ti+…

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Q: Integrate the given series expansion of f term-by-term from zero to x to obtain the corresponding…

A: We will solve to get required result.

Q: Find the limit. (If an answer does not exist, enter DNE.) (x²+2x-8) Ilm x-2 (x²-4)

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Q: A bank pays compounded interest each year. Sue deposits $100 in the account, and after 3 years Sue…

A: Topic- differential Equations

Q: 1. What is the best method to use given a differential equation with f(x) = sec x? A. Method of…

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Q: Question 2. ABCD is a parallelogram and M and N are the midpoints of BC and CD respectively. AM and…

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Q: lem 3.5 an equation of the tangent line on the curve y = x + 1 that is parallel to the line 32:

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Q: Find the constant a such that the function is continuous on the entire real line. (sx, lax 9₁ a=…

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Q: Solve the equation given. Enter all solutions, in degrees, that lie in the interval [0°, 360°). Do…

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Q: Find the total area of the shaded region shown to the right given by the - T curve y = 3( sin x)√1 +…

A: Topic = Area

Q: Given u = and V = , find 2u + 3v. O a) Ob) Oc) Od)

A: Given,  u=4,-3v=-1,2 Let's compute  2u=24,-32u=<8,-6> and  3v=3-1,23v=<-3,6>

Q: Find the equation for the line tangent to the parametric curve: at the points where t = 5 and t =…

A: Solution is given below:

Q: Given: tan a = 216, 3 5' cos ß = αε[0,π] sin ß<0 Find the numerical value of: 1. tan 2 B

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Q: Graph on the image below and find the area bounded by 9x^2 + 4y^2 = 36. Solve this using method of…

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Q: 3) Find the minimum and maximum values y = 2x5 +5x² on the interval [-2,2]

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Q: Solve dN dt = (1¹ 1+ cos(2nt) N where t ≤0 and N(0) = No.

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Q: Solve the logarithmic equation. Be sure to reject any value of x that is not in the domain of the…

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Q: Can you please rewrite it neater I can't read what's what and circle the answers,

A: Given,           gx=x2-5To find : Find the domain and range of the given function.

Q: find the derivative of the following using chain rule I need the solution since I got the answer…

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Q: 4 -15 Given sin A = and sin B 5 17 match each expression in Column 1 with its exact value in Column…

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

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Q: Shown to the right is a certain population, in billions, for seven selected years from 1950 through…

A: Solution of given question is written in below steps.

Q: Find the limit. Ilm

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Q: Evaluate the definite integral (a) ľ² _l+ x +24 dx, (b) [¹² (x² + 3) (2x + 1)dx, (c) [¹ x²e²¹dx -1…

A: ∫-11 xdx1+x2+x4

Q: Find the limit of the transcendental function. (If an answer does not exist, enter DNE.) cos(20)…

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Q: A company's marginal revenue function is MR = 150 - 12x1/3, where x is the number of units. Find the…

A: We have to slove above questions find R(x)=

Q: The estimated marginal profit associated with producing x widgets is given by P'(x) = -0.6x + 24…

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Q: Solve the initial value problem. y' = (x − 1)(y − 6),  y(2) = 6   PLEASE SHWO STEP BY STEP .

A: Here we have to solve given differential equation

Q: A population of endangered salmon, S(t), starts out with 100 fish and decreases at a rate…

A: This is a problem related to decay law. Based on the general formula ad concept we will answer the…

Q: 1. f(x)= x²(2x+3) (x²+1)*

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Q: Find the relative maxima and relative minima, if any, of the function. (If an answer does not exist,…

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Q: Use Green's Theorem to evaluate the line integral S (y-x) dx + (2x - y) dy for the given path. X C:…

A: Green's theorem: ∫CMdx+Ndy=∫∫R∂N∂x-∂M∂ydA   Given: I=∫Cy-xdx+2x-ydy and C: y=x and y=x2-2x It means…

Q: Evaluate the line integral, where C is the given curve. [x² x sin(y) ds, C is the line segment from…

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Q: Given sin a = 0.019 and cos 3 = 0.342 with both angles' terminal rays in Quadrant-I, find the…

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Q: Use one-sided limits to determine whether the following limit exists and its value. If the limit…

A: The given limit is limx→2x-3x-2