Which of the following equations can be made into a linear differential equation?

Q: Determine the degree, order, and whether it is linear or non-linear (y") ³-4y²=105x

A: Determine the degree,order, and whether it is linear or non linear

Q: Is the point (3, 12) on the graph of the function f (x) = (x - 12)(x + 2)?

A: Given data:- The given function is, fx=x-12x+2 And the given point is, 3, 12

Q: Degree of homogeneity of the functiom f(x,y) = (x²-4y²)^-1/2

A: To find the degree of homogeneity of the function.

Q: the difference quotient for the given function. Simplify your answer. Rx)=x²³, f(a+h)-f(a) function…

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Q: find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P.…

A: Given expression, y=2-x3

Q: The integrating factor (IF) of the equation y' - 2ycot2x OA. sin2x OB. cot2x OC.Lnsin2x D.csc2x O E.…

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Q: 4. Let sin² x + cos² y = x² + y². Find y' by using implicit differentiation. ។

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Q: A group of adults were asked how many children they have in their families. The bar graph below…

A: Given :

Q: So the system of equations by using the inverse of the coefficient matrix if it exists and by the…

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Q: Find the derivative of the function. dw 8e 9w

A: Find the derivatives of the function

Q: Vee the definition of the downtie! Find filx) then find fil-2), f'(0), and fi(3) 12 - X 3 b.) f(x) =…

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Q: Find the gradient of f at the indicated point. f(x, y) = 2x² + 2y¹; (4,2) NOTE: Give your answer in…

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Q: f(x) = ln(x), ro= 100, and 2₁ = 105.

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Q: What is a suitable integrating factor that can be used to solve the equation dy dx O A. e B. 3 ex C.…

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Q: If $1000 is deposited in an account paying 8 % annual interest, compounded continuously, how long…

A: Given query is to find the time to reach the amount to $1600.

Q: Ulus 1 Graphs > Name: Jardan Schiffer Date: 9/27 Teacher: Mrs. Coon ce a table. Write the domain,…

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Q: silver

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Q: The exercise involves observing a pattern in the expanded form of the binomial expression (a + b)n.…

A: Given data:- (a + b)1 = a + b(a + b)2 = a2 + 2ab + b2(a + b)3 = a3 + 3a2b + 3ab2 + b3(a + b)4 = a4 +…

Q: What is a suitable integrating factor that can be used to solve the equation dy cos(2x) = 0 O A. OB.…

A: To determine the suitable integrating factor that can be used to solve the equation.xdydx+2y-4xy-e-x…

Q: Use the Law of Sines to solve for all possible triangles that satisfy the given conditions. (If an…

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Q: 5. Bernoulli's Equations b. 2x³y' = y(y² + 3x²)

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Q: f(a+h)-f(a) h Jse algebra to simplify by hand and then letting h→0 to find f'(a) where: A. f(x) = 5x…

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Q: Determine the order and degree of the differential equation, 3x dy4 +5x² 3 (d²y) dx² - xy = 0.

A: Determine the Order and Degree of the differential equation.

Q: 5. Show that dy ay of dx of arccosx -1 √1-x²

A: Given that dydx of arccosx=-11-x2 We have to prove this derivative.

Q: -22 - x2, find f(x), f(x), f(x), and f(4)(x). " (x) 70 = aph f, f', f", and f" on a common screen. y…

A: Given query is to find indicated derivatives.

Q: Sketch the graph of the function h(t) = t2 - 2.

A: Given data  h(t) =t2-2

Q: Find the derivative 1. y - 12 2. y = 8x³5x² of each function defined as follows. sredin 8² +1x + 5 -…

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Q: Which of the following statement is TRUE? 8:01 AM A. An ordinary differential equation (ODE)…

A: keeping a note ?as per our company guidelines we are supposed to answer ?️only first 3 sub-parts.…

Q: Consider the ellipsoid x² + y² + 4z² = 41. Find the acute angle that the tangent plane at the point…

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Q: Write the first three terms in binomial expansion (x + 3)8, expressing the result in simplified…

A: Given: The given expression is:  (x + 3)8 Formula Used: The formula of Binomial expansion is: (a+b)n…

Q: Find the derivative of the function. F'(x) F(x) = (4x + 8)³(x² - 5x + 8)4

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Q: 7. Write a formula for the triple product rule, the derivative of p(x) = f(x) · g(x).h(x)

A: Given query is to apply triple product rule

Q: Find Duf at P. 1 f(x, y) = 3(1 + xy) ³/²; P(5,3); u= NOTE: Enter the exact answer. Duf = i+ 1

A: To find the directional derivative of given function.

Q: dy What is the IF for solving the linear equation: x + dx OA. O B. O D. O E. 3 N/W X2 C. 3 3x 2 3/2…

A: Topic- differential equations we are given, xdydx+3y2=cos x,x>0wew know thaty'+Py=Q is a form of…

Q: Which of the following equations is NOT a variable separable differential equation? A. 2xydx + (x² +…

A: A Separable differential equation is any equation that can be written in the form of dydx =…

Q: Obtain the differential equation whose general solution is y = C₁ OA |y" - 3y' = 0 OB. 3y"-y' = 0…

A: Given query is to find the differential equation.

Q: Which of the following is equivalent to 8cos²ysin²y? Select ALL possible answers: a) 4-4cos²2y b)…

A: given that find equivalent to 8cos2ysin2y this is the question of trigonometry we have to simplify…

Q: Which of the equations below is a second order nonlinear differential equation? O A. B. 2 x²y - (1 -…

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Q: 2. Let f(x) = -x + 7 and g(x)=x²-2. Evaluate each expression. (a) f(g(1)) (b) g(f(6))

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Q: If F(x) = f(g(x)), where f(-3) = 5, f'(-3) = 2, f'(1) = 3, g(1) = -3, and g'(1) = 5, find F'(1).…

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Q: . If (OM-ON) / - - - O A. B. O E. "Q y5 -5 then what is the integrating factor? None of the Choices

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Q: Find the area of the region that is bounded by the given curve and lies in the specified sector. r =…

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Q: f f(x) = = f'(x) = 2x² tan x " Find f'(1) 0 find sec x 2x(x + 2 tan(x)) sec(x) B x 0

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Q: Question 6 Given: x2 dy dx = 4x² + 7xy + 2y2, Find C if y = 1, x = 1 O 1.5 O 2.5 O 3.5 O 0.5 O None…

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Q: Find the 2nd derivative F(x) = 5e^2x F(x)= 3e^-x + 2e^4x

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Q: use the graph of the function f(x) below to answer the following questions. (-3,0) -4 (-5,-2) 13.…

A: Since you have asked a question with multiple parts in a single request we would be answering only…

Q: Use the graph of f to determine each of the following. Where applicable, use interval notation. a.…

A: The domain is the set of all possible input x values while the range is the set of all possible…

Q: What is the standard form of this linear equation in one variable: (y + 1)dx + (4x − y)dy = 0? None…

A: Given (y+1)dx+(4x-y)dy=0 Multiply both sides by 1(y+1)dy (y+1)dx(y+1)dy+(4x-y)dy(y+1)dy=0…

Q: The integrating factor (IF) of the equation y' - 2ycot2x = 1-2xcot2x - 2csc2x

A: Given, y'-2x cot(2x)=1-2x cot(2x)-2 csc2x

Q: -6 1 1 9 d. f(-4)= = -2 T Consider the graph of y = f(x) above. State the value of each of the…

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