4) 10 x-31=-40 31 + 2x=46 깃

Q: dy X -2= y² - 3y dx

A: We use variable separable method to solve the given differential equation.

Q: Q2: Find dy/dx for the following functions:- (2) y = √sinh √tan x (3) 4x² + 3xy-xy² = 0

A: Given:- 2) y=sinhtanx 3) 4x2+3xy-xy2=0 To find:- dydx of given functions

Q: The differential equation dy 18 dx y¹/2 + 4x²y¹/2 has an implicit general solution of the form F(x,…

A: The given differential equation,      dydx=18y12+4x2y12 we have to find the general solution of the…

Q: You are calculating a tip on a restaurant bill. The service was good, so you would like to tip about…

A:

Q: Evaluate the limits given the following information: lim f(x) = 6 lim g(x) = -9 24-6 x--6 a) lim x 6…

A:

Q: Find the area of the region bounded by the graphs of the equations. Use a graphing utility to verify…

A: The Solution is given below

Q: 3.Find the differential equations for each familyof curves under the following conditions:…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: The function f(x) is continuous on the interval [-1,3]. The table below gives some of its values.…

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Q: Write the interval of continuity for the function below: sin(x)√81-x2 x²+x-6 f(x) -

A:

Q: (30) -3≤x-3y≤6

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Show the complete solutions. Family of horizontal parabolas whose h to k ratio is 2. Ans: 2xy" -…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: 3. If the derivatives of h with respect to U; for h=²u

A:

Q: B. by factoring 1. x² + 7x = 0 2. m² + 8m = -16 3. x2 + 5x − 14 = 0 4. 2y2 +8y - 10=0

A: Topic = Quadratic equation As per guidelines , At a time only three sub-parts can be answered.…

Q: Só 1 x²+7x+10 A. B. C. D. 3ln 2-ln 2 3 3ln 2+ln 2 3 3ln 2-ln 2 5 3ln 3-ln 2 3 dx

A: The given integral, ∫011x2+7x+10dx use the integral formula, ∫dxx+a=lnx+a+C

Q: Use one or more logarithm identities to show that In (2) In(x) for any > Use one or more logarithm…

A: we have to do as per the question.

Q: For the following function models the position s(t) of an object moving along a stright line, where…

A:

Q: Find

A:

Q: Given f(x) = 5x² - 10x + 8, find the average rate of change of f(x) on the interval [2, 2+ h]. Your…

A:

Q: L- matrix and U

A: The objective of the question is determine the L- and U- matrix.

Q: Find the Differential Equation of the Family of Ellipses with its center at the origin.

A: Here is the solution:

Q: 2. Eliminate the arbitrary constants of the equation below, where ß is a parameter. 4 x = C₁eßt + C₂…

A: To find- Eliminate the arbitrary constants of the equation below, where β is a parameter. x = c1eβt…

Q: answer

A: As per policy only first question is answered. Please refer to the image below

Q: Q2: Find dy/dx for the following functions:- (1) y = x³ Inx (2) y=√sinh √tan x (4) y=u=3x²-2 (3) 4x²…

A: As per guidelines we can answer only three subpart questions at a time, so if you need more answers…

Q: 1. f(x) = x 3x-1

A: Domain of a function is defined as the values of x for which the function is defined.

Q: Question Define as the region bounded by the functions u(y) = 2 and v(y) around the y-axis, what is…

A: Here we have to find the volume of a region when revolved about y axis.

Q: Solve the initial value problem. 1 dy y cos 0 0 de 2 y +1 , y(x) = 1

A:

Q: Find the domain and range of: 1) y = 區 2) y =√1-x², 3) y = x² - 2

A: See this solution in below.

Q: Define R as the region bounded by the graphs of f(x) = 6x - 5x² and the x-axis. Which of the…

A:

Q: Find the indicated composite function 6. f(x + 1) where f(x) = x² + 5

A: To find the f(x+a) when f(x) is given then we just replace x of f(x+a),  where a is an integer.

Q: You have $1,000 to deposit in the account for 1 year. Compare the following two offers. • Bank of…

A: The answer provided below has been developed in a clear step by step manner. Step: 1 A) Interest…

Q: feature

A: Please refer to the image below

Q: Find dy/dx for the following functions:- (2) y = v sinh Vtan x (4) y=2,u = 3x²-2 u²+1

A:

Q: Find the directional derivative of the function at the given point in the direction of the vector v.…

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Q: (d) +ỷ =0 dy dt (e) (f) d²y dt² d³y dt3 + sin(t + y) = sin t +t + (cos² t) y = t³ dy dt

A: To find out the order of the differential equation and also we need to write down that the…

Q: 2. Obtain the general solution. (Let 2C=C) (4x + xy²)dx + (y + x²y)dy = 0 3. Check for homogeneity…

A: Differential equation

Q: 5(4) + 3y(3) = 0

A: Let's solve given differential equation.

Q: Q3) (E.G.) If BAC is an angle such that B=(1,2,3) and E=(2,1,3) are belonging to one side of the…

A: According to the Bartleby guidelines, I'm answering the first question for you. Please re-post the…

Q: Find dy/dx fc (1) y = x³ Inx ,,2

A:

Q: Please

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Q: Let C be the positively oriented circle x² + y² = 1. Use Green's Theorem to evaluate the line…

A: Greens theorem

Q: Suppose the quantity (in grams) of a radioactive substance present at time t is Q(t) = 38,416…

A:

Q: 13) 16) x2/3 x + 1 x³ x² +1 dx dx

A: Given data:- 13) ∫x23x+1dx 16) ∫x3x2+1dx

Q: Q4: Solve the following integrals:- (1) S x3-2x2 dx (2) √ √² √9-x² (3) [ xả sin xdx (cos-¹4x)…

A:

Q: Can you break down the right side integral? I get lost on line 3 where you did integ. by parts

A: As you have asked for only evaluation of right side integral, I am doing only that. Hope it helps…

Q: x/4 11. evaluate sec(x) dx . Give 3 decimal places for your answer. If your answer is below 1, use a…

A: ∫0π4secxdx

Q: Evaluate each limit or state it does not exist a) lim 6x²-5x-1 x →1 2x² - x - 1 b). x²³_8 lim X-2…

A: a3 - b3 = (a-b)(a2+ab+b2)

Q: A differential equation is an equation A that contains a derivative like y'(x) as well as the…

A:

Q: Prove that: B(x+1; y ) + B (x,y+1)=B (X,Y) let (x+1)= X(X)

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Q: lim x→2 f(x), where f(x) =    10  −  2x    if x < 2 x2  −  x    if x ≥ 2

A:

Q: (1) y = x³ lnx (4) y=²+1 (2) y = √sinh √tan.x -,u= u= 3x²-2

A: