What is an improper fraction and a mixed number?

Q: Biologists stocked a lake with 800 fish and estimated the carrying capacity (the maximal population ...

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Q: Find the volume of the solid obtained by rotating the region bounded by y = 7x², x = = 1, and y = 0,...

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Q: A rectangular box with a volume of 64 ft is to be constructed with a square base and top. The cost p...

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Q: 5. y = xArctanx - In V1+x

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Q: Question 3 Find the change in y = 2x -3 if the x changes from 3.3 to 3.5. А) 0.1 0.2 0.3 0.4

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Q: - lx + 2 -dx (x – 5)(x – 4) Evaluate + C

A: Here we can solve the integration as below

Q: A firm produces 550 T.V. sets during its first year. The sum total of the imm's production at the en...

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Q: A. Determine the derivative of the following using the Four-Step Rule 1. f (2) — 5а — 4 %3D | 2. f (...

A: Recall: Derivative using Four step Rule:step 1 : Write f(x+h) and f(x).step 2 : Compute f(x+h)-f(x) ...

Q: :6. Bet“ dt.

A: (6). Given: I=∫t3et4dt   ...1   We know that; ∫eax+bdx=1aeax+b+C   Note; As per Bartleby guidelines ...

Q: A- Graph the following functions and determine (domain, range) (1) y= sin/x/ (2) y= /x - 2/

A: since you have posted multiple question in this question which are not interlinked so i have solved ...

Q: esecx+lntanx -dp- 9. cos x

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Q: 1. The velocity of a plane is modeled by v(t) = –1+ cos (+ 3 sin (), measured in miles per minute, f...

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Q: Evaluate the integral below by interpreting it in terms of areas. In other words, draw a picture of ...

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Q: I ind the second derivative(y") of the following functions and simplify the final results. 1. y = x3...

A: Given y=tan-12+x1-2x To find y'':

Q: The equation 2ydx + (3y– 2x)dy = 0 has an integrating factor equal to: O y O y^(-1) O y^(-2) O y^2

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Q: 1. tan(8) cos(8)

A: Given query is to simplify the expression  

Q: 5x2 + 3x – 4 If h(x) find: 4 – 5x = (x),4

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Q: A vector function is given as A = R3R cos() What is the numerical result of fy (V A)dv over the hemi...

A: Solution

Q: Ge Given revenue and cost functions R(q) = 70q - 0.4q and C(g) = 14q + 550, find the maximum revenue...

A: Given problem:- Given revenue and cost functions R(q) = 70q -0.4q² and C(q)= 14q+550, find the maxim...

Q: D. Determine how long the ball is in the air.

A: To find S(t) = 0 We solve the equation,using Quadratic equation of form ax2 +bx+c = 0.

Q: 4. y = x0sx

A: Take the logarithm then take derivative twice. 

Q: Let f (x, y) = e^x (sin(y) +1) and use the point P (0, (pi/2)) a. Find the gradient of f at P. b. F...

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Q: INTEGRATE THE FOLLOWING (use integration techniques) -2y dy 2. Sy'e-24 dy

A: topic- indefinite integral

Q: QUESTION 5 Use the inverse transforms of some basic functions to find the given inverse transform. 1...

A: We know that, Laplace inverse of {1s}= 1 and Laplace inverse of {ss2+a2} = cos(at).

Q: F (x. y) = 3x2+3y2-18y+15 4- /2x+4y+4 a) Find domain b) Find sign Diagram

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Q: 7. Find the volume of the solid formed when the graph of the region bounded by y = e, x = 0, x 2, an...

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Q: Find the area of the triangle with the given vertices.     (−1,−1), (5,−1), (2,5)   The area of the ...

A: Area of triangle = 12x1y11x2y21x3y31 x1,y1=(-1,-1)x2,y2=(5,-1)x3,y3=(2,5)  

Q: 4y2 = 3. Maximize Q= xy, where x and y are positive numbers such that x+ Write the objective functio...

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Q: Using f (x) = In(3 – 2x), find the value of L and calculate the radius of convergence of the series....

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Q: If u = e°", 3x dv = 4 sin 2x da then 3e* da, v = 2 cos 2x. Select one: O True O False

A: Let's find. 

Q: Find f'(x) and find the equation of the line tangent to the graph of f at the indicated value of x. ...

A: This question can be solved using the derivative of function of function.

Q: Find the indicated derivatives, using the following information: g(3) = 10 g'(3) = – 3 f(3) = 4 %3D ...

A: Given: So,        fg'(3)=f'(3)g(3)+f(3)g'(3)          =(-1)(10)+(4)(-3)          =-10-12          =...

Q: f C(t) = 55t e - 0.2t measures the concentration, in ng of a drug in a person's system t hours after...

A: Given query is to find the maximum concentration of the drug.

Q: Find a general solution for y in terms of x that satisfies the first-order linear differential equat...

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Q: Let y(x) be the solution to the following initial value problem. x³ y' + 4x² y In(x). x > 0, y(1) = ...

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Q: uestion 6 of 11, Step 1 of 1 5/11 Correct Consider the function f(x) = -x' - 6 on the interval (-4, ...

A: Given query is to find absolute maximum and minimum.

Q: 6. y = In (e* + e*)

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Q: 9 y = Arctan(+x, 1- 2x

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Q: Find the particular solution of the differential equation that satisfies the initial condition(s). f...

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Q: The Taylor series expansion is given by: 00 (-1)" sin x= 2n +1 (2n + 1)! n= 0 Evaluate sin 44° using...

A: We will find all the asked values using Taylor series expansion as following.

Q: True or False: By the partial fraction decomposition, we should write 5x + 2 A В + х2 +x — 12 х — 3 ...

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Q: The height​ (feet) of an object launched in the air t seconds after launch is given by s=−16t2+48t+9...

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

Q: e in free space is 1 millimeters and h = 100 t 32 1 millimeters. (Round your answer to six decimal p...

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Q: 8. y = In(x + Vx² +1)

A: According to given, only 8 is solved  

Q: Find the interest rate needed for an investment of $4000 to quadruple in 12 years if interest is com...

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Q: Find the derivative or y'. Show your step by step solution.

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Q: a) [ ]: Evaluate the integral (4x + 1) In x dx c) [ ]: Evaluate the integral 2 dx (x – 1)(x + 4) |

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Q: 6. S Ve3x + e4x dx

A: 6.∫e3x+e4x3 dx∫e3x+e4x13dx

Q: 1.n f csc n? de y2 - 2y + 3 2.5; Vy - 3y: + 9y – 21 dy

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Q: a) [ „J: Evaluate the integral (4x + 1) In x dx b) ' . Evaluate the integral fou 6 tan' x sec* x dx ...

A: a) Given:       ∫4x+1ln x dx Integrate by parts: ∫fg'=fg-∫f'g where f=ln x , g'=4x+1           f'=1x...