If f(x) = find f' (4). 3.

Q: xy' = x +y

A: We need to solve given differential equationxy'=x+y

Q: (3y^3-xy)dx - (x^2 + 6xy^2)dy = 0

A: This is the question from differential equations.

Q: 4. Five cards are dealt at random from a standard deck of 52 cards. What is the probability that exa...

A: Topic:- permutations and combinations and probability

Q: Locate vertex, focus, and the directrix of the following equations of parabola. x2 = -8y  y2= 4x +...

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Q: Use the intercept form to find the equation of the line with the given intercepts. The intercept for...

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Q: Use the general slicing method to find the volume of the following solid. [] The solid whose base is...

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Q: The height of a ball is modcled by the function h(t) seconds. What are the highest and lowest points...

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Q: y(x* - y²)dx + x(x* +y²)¢y = 0

A: Please see the solution below

Q: An isosceles triangle has a base of /20 m. Each of the equal sides is 3/7 m long. What is the exact ...

A: Using formula of area of isosceles triangle

Q: y(x'y³ + 2x² – y)dx+ x³(xy³ – 2)dy = 0

A:

Q: Write a polynomial equation with integer coefficients and leading coefficient equal 1 whose zeros an...

A: We have to find

Q: Jne sun Triangle ) t22.20 t21,20 Simplified to a single term from Pascal's Triangle is

A: Here we have to simplify t22,20-t21,20 into a single term from Pascal's Triangle.

Q: S. Show that the two functions n = Aet (interest compounding) and y2 = Aert (discounting) are mirror...

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Q: 2. y= C1+ C2x + C3x² + C4x³ %3D

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Q: NASA launches a rocket at t = 0 seconds. Its height, in meters above sea-level, as a function of tim...

A: Solve the given

Q: Find the differential equation of a family of circles, each having its center on the line y = x and ...

A: Equation of circle 

Q: 2. 3x + 4y +c = 0

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Q: Find the general solution of y°dx+(3xy + y² =1)dy = 0 %3D

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Q: Find the solution to the equation 2ydx – 3xy'dx – xdy = 0 using integrating factor by inspection.

A: The solution are next step

Q: The graph of f'(æ) ,the derivative of f(æ), is shown below. Find the critical number(s) of f(x). -3 ...

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Q: If p(x) is the total value of the production when there are x workers in a plant, then the average p...

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Q: Solve. 11. What positive number added to its reciprocal gives the minimum sum? 12. A box is to be ma...

A: As per bartleby guidelines we only give first question answers. 

Q: 8. y = (C1 + C2x)e* + c3e2x %3|

A: The solution of the problem is given in the next step.

Q: y = (C1 + C2x + C3x²)e2x

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Q: The function g(t) = 2' is an exponential function. Select one: True False To obtain the graph of y =...

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Q: Jse the rules of differentiation to find the derivative of the function. f(t) = 7t2 + 3t – 2 %3D f "...

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Q: 1. Consider the function f (x, y, z) = 2°y – xyzešzy Compute the gradient of f.

A: Let's find. 

Q: The shape of f (x) = /x, but shifted two units to the left and reflected in both the x-axis and the ...

A: Given the function f(x)=xory=x

Q: What is an integrating factor of the nonexact DE dy/dx = 1/(2xy) -2y 2y e^(y^2) e^(-y^2) O NA

A: We have to find

Q: identify some real-life applications of polynomial functions. Name a few and explain in at least thr...

A: identify some real-life applications of polynomial functions. Name a few and explain in at least thr...

Q: 1 Determine whether the infinite series is Convergent or Divergent. n(Inn)

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Q: Use the rules of differentiation to find the derivative of the function. TT :는 cos(8) 5. y =

A:

Q: 2. Factor completely. 7(x+5)^(2x-7)" +4(x+5)*(2x-7)*

A: Given,    7(x+5)-6(2x-7)13+4(x+5)-5(2x-7)12

Q: Sketch the graph of each function and its inverse function considering the restriction in the domain...

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Q: Solve Polynomial: (6x4-41x2+3x+6)/(2x2-4x-3)

A: Given:      

Q: the graph to estimate the slope of the tangent line to y = x" at the given point. Verify your answer...

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Q: Calculate the derivatives of all orders: f'(x), f"(x), f"'(x), f(4)(x), ., f(n)(x), .. .... f(x) = e...

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Q: Compute the derivative of f(x) = 5 ln (ln (x + 6)): Answer: f'(x) = Check

A: The solution of the problem is given in the next step.

Q: ROTECTED VIEW Be careful-files from the Internet can contain viruses. Unless you need to edit, it's ...

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Q: [1 + ytan(xy)]dx + x tan(xy)dy = 0 %3D

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Q: In your own words, describe what it means for a function to be continuous at a poin

A: A function is called continuous when graph of function is continuous or does not broken in its domai...

Q: dy/sec2y=dx/secx

A: Explanation of the answer is as follows

Q: + 6r +9 lim an? + 2r – 3 Your answer Thia is a required question 2x- 5x– 3 lim x-3 Your answer O Thi...

A: t is required to solve the given limits. Each part is solved in detail below.  

Q: - Let y = cot x + (cot x) In(sin x) and y"= . Show that Csc2 = -3 cot x + 2y. dr² ·

A: We need to find second derivative of y.

Q: 2a) Expand (h + t)°using the Binomial Theorem. b) Explain how this expansion can be used to determin...

A: we know that pascal triangle                                          1                        power...

Q: d) Obtain the particular solution of (2x– 3y+4)dx +3(x-1)dy =0; when x=-1, y = 2

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Q: Find dy/dx and d'y/dx, and find the slope and concavity (if possible) at the given value of the para...

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Q: Solve the equation. Find the general and/or the particular solution.

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Q: Find the following, show solution.

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Q: Find the area enclosed by one leaf of the rose r= 5 Cos (10)

A: Solution of given question is followed by