2014 O ०.२ ०.०२ 0.02 0.08 0.4 0.6 0.16 0.8 1.0 ।.२ 1.4 0.98 or 0.32 0.5 0.72

Q: find the higher derivative of the following  y= (x^2  + x + 1)^2, find y''

A:

Q: Solve the DE dy/dx + (2/x)y = 6x³.

A: Given,            dydx+2xy=6x3To find : Solve the DE.

Q: 1. Find the derivative of each function. Use proper notation, and simplify your answ This includes…

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Q: Q3. Differentiate f(x, y) = xy² + √√x+y² 2

A: f(x,y)=xy2+x+y2

Q: Q1. Find Domain and Range of у sin(x)

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Q: Let f(x) = { 6-x_ x4. a. Find lim f(x) and lim f(x). Select the correct choice below and fill in any…

A: Topic:  Limit and Continuity   The answer is given below:

Q: Use the function and the accompanying figure to answer the following questions. a. Is f defined at x…

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Q: Solve the DE (6x + y2) dx + y (2x - 3y) dy = 0. Hint: Exact O 3x^3 + xy^2 - y^3 = c O 3x^2 - xy^2 -…

A: Given differential equation:- 6x+y2dx+y2x-3ydy=0

Q: 5. Find the second derivative of f (x) (x² + 1)³.

A: Given query is to find the second derivative.

Q: 9. A company's cost function is C (x) a) Find the average cost function AC(x). 5x + 100 dollars,…

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Q: How much of a 7% HCl acid solution needs to be mixed with how much of a 15% HCl acid solution so…

A: Solution

Q: Find the equation of the tangent plane to the surface determined by at x = 3, y = = 4. 44 x+y+z-35 =…

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Q: etermining the Maximum and Minimum Values of Quadratic Functions rocket is launched in the air. Its…

A: Given query is to find the maximum height attained by the rock.

Q: Given F(r, s, t) = -r(58³ + 7tº), compute: Frst

A: Frst is a third order partial, where we differentiate first with respect to r, then with respect to…

Q: How does the x^4 and the 3x^3 become to 4x^3 + 9x^2. I understand how you got 4x^3 but not the 9x^2.…

A: We know, d/dx (m*xn)=mn(x)n-1 for any real numbers m,n

Q: y(3x² + y²)dx + x(x² + 3y²)dy = 0

A: Given differential equation is solved using homogeneous differential equation and then variable…

Q: A right circular cone with radius r and slant height / has surface area given by A = nr² + nrl. When…

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Q: c) lim 818 sin(x+3)

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Q: using the definition of Laplace, solve the ff: 1. L [cos at] 2. L [cosh at]

A: We have to use the definition of Laplace transform to solve  (1) L{cos(at)}

Q: The graphs of y = f(x) and y = g(x) are shown below. If g(x) = af (b(x − h)) + k determine he values…

A: The graphs of y=fx and y=gx has been shown above.Given that,  gx=afbx-h+k, we need to determine the…

Q: 2 Given tane = find csc0, cos0, sec, cot0, sinė if 0 is in Quadrant III. 3

A: Given  tan θ = 23.

Q: Evaluate the indefinite integral S -10x² X dx

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Q: Laplace Transform Determine if the following functions are of exponential order (show complete…

A: 1) t3 sin(2t) 2) 1000 e2020t.

Q: Is it true that a continuous function that is never zero on an interval never changes sign on that…

A: Yes, By the intermediate value theorem , if a function changed sign, its value was zero at some…

Q: π π €). Calculate E 2 d dxsin (x) (x) eta

A: Topic:- application of integration

Q: Find 원 when ax + cos(by) = c, where a, b and c are constants. b (a) —-cscy (c)csc(by) b (b) -…

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Q: Find the function y = f(t) passing through the point (0, 10) with the given differential equation.…

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Q: 9. For each set of equations (part a and b), determine the intersection (if any, a point or a line)…

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

Q: Obtain the differential equation for each family of curves. Identif the complete classification of…

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Q: Consider the following functions. f(x) = 4x + 6, g(x) = 5x - 1 Find (fog)(x). Find the domain of…

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Q: For the given graph of the function f, -4 -2 4 2 -2 -4 2 on the left, 4

A: In inverse function the value of x and y interchange. and it is reflected about y = x a.

Q: Given the demand equation p + (x/5) = 40, where p represents the price in dollars and x the number…

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Q: The volume of a cone is given by V = 1 * Pi * r^2 * h/3, where r is the radius of the base and h is…

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Q: f(x)=xsin(x)/1+x. Find f'(pi/2).

A: Given query is to find the derivative.

Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

A: Given Expression: y=x51+2x7

Q: 3. Find the derivative of each function. Use proper notation, and simplify your answers. Thi…

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Q: 1/2 4x³ 4x-3 5. S₁13 +2 -2 X - X dx

A: Let's solve given integration.

Q: Make an ORIGINAL EXAMPLE OF "Variable Separable" A) GIVEN B) SOLUTION C) ANSWER D) WITH EXPLANATION

A: Given expression, Solve 1+x2dydx=1+y2

Q: Solve (x5 + 3y) dx - xdy = 0. O 2y = x^5 + cx^3 O 2y = -x^5 + cx^3 O 2x = y^5 + cx^3 O 2x = -y^5 +…

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Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

A: y=(2+x)2(1-x)3

Q: Exponential decay. Subsonic flight. The efficiency of the engines of subsonic airplanes depends on…

A: This is a problem related to exponential function. Please follow the procedure given below.

Q: y = ln(5x² + 7x + 4)

A: Given y=ln5x2+7x+4

Q: If h(2) = 3 and h'(2) = −8, find. d/dx(h(x)/x) x=2

A:

Q: Find the derivative of each function using the basic properties of differentiation. 1. f(x) = 5-7x…

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Q: 10) Solve the following and write the intervals. a. C. \7p+4\_ 8 4+3|x-1|>=10 b. d. 2-5|5m-5|=-73…

A: In this question we have to solve the following equations as per the question given. NOTE: As per…

Q: Consider the function Compute fx(1, 2) and f,(1, 2) f(x, y) = 3x²y + 5x²y²

A: Given, f(x,y)=3x2y4+5x2y2

Q: e selling price of a refrigerator, is $678.70. If the markup is 10% of the dealer's cost, what is…

A: Given query is to find the dealer's cost.

Q: The weekly demand for Math Wars - A New Slope video games is given by p= 150 x-3 + 1500 where x is…

A: Given weekly demand functionp=150x-3+1500

Q: Find the following derivatives. Express your answer in terms of the independent variables. 3x-3z 2y…

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Q: y (3x² + y²) dx + x(x² + 3y²) dy = 0

A: