Determine whether the following equations are linear, separable, Bernoulli, or nonlinear homogenous. Explain. a) xyy'+x²+y²=0

Q: Graph the function. (Be sure to indicate any missing points.) 5x (5x3 8 - -X f(x): = if x ≥ 2 if x <…

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Q: 79. f(x) = 4x + 3

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Q: Question 9 Let R be the region bounded by x = 5, y = 4x+6, y = - 4x + 22. To find the volume of the…

A: The given problem is solved below in detail.

Q: y²dx + x(x + y)dy = 0

A: This question is based on Solution of Homogeneous Differential equation.

Q: 2. f(x) = x1/2₂ -2 3. f(x) = -2 x+1 4. y= x+1

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Q: can you please rewrite the answer  ? I cannot understand the writing . Thanks

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Q: The total cost (in dollars) of manufacturing x auto body frames is C(x) = 30,000 + 200x. (A) Find…

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Q: Evaluate the limits. (You may not use L’Hopital’s Rule). limx→infinity tan^−1 (ln(1/x^2 + 2e^-x))

A: Evaluate the limits.limx→∞tan-1ln1x2+2e-x

Q: MAKE AN EXPLANATION FOR THIS

A: For a differential equation dydx=fx,y, the dependent variable is yand the independent variable is x.

Q: 1 sec y tan y 3. S = - dy

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Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence…

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Q: 7. Find the equation of the plane through the point (2, -3,5) that is perpendicular to the line x =…

A: Answer: As per guidelines we can solve only 1 question at a time, so please post other question…

Q: Calculate the differential for the following functions: a) z = x³y + x²y² + xy³ b) c) z = x siny - y…

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Q: Find the limit. NOTE: Enter an exact limit if it exists. If the limit does not exist, indicate that…

A: Let's find limit of given function.

Q: Find the inverse function of f(x) = √√8 +8. ƒ-¹(x) = Submit Question

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Q: y = x²y + 1

A: To differentiate the given function.

Q: Use the Shell Method to compute the volume of the solid obtained by rotating the region in the first…

A: Use the Shell Method to compute the volume of the solid obtained by rotating the region in the first…

Q: Find the vector w with magnitude 17 that lies in the direction opposite of v = (1, -2,3). Show all…

A: Given vector   v→=1, -2, 3

Q: Evaluate the integral. (Use C for the constant of integration.)       x2 + 4x + 1 (x2 + 1)2 dx

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Q: The function f' defined by the formula f(x + h) − f (x) h f'(x) = lim h→0 s called the derivative of…

A: Since this is a multiple question, according to the Bartleby answering rule, only the first question…

Q: n aquarium 3 m long, 1 m wide, and 1 m deep is half-filled with water. Find the work needed to pump…

A: Given that an aquarium 3 m long, 1 m wide, and 1 m deep is half-filled with water.

Q: a. y = (x²-x-¹)² 2x² - 1 x + 1 c. y = x²y + 1 b. y =

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Q: Determine the differential equation on which the general solution is y=cos(A+Bx). A (1-y2)y"+yy'=0…

A: Topic = Differential equation

Q: (1) Find the average rate of change for the function 3x³ - 2x £5 on the interval [=-2, 6]. f(x):

A: We have to find out average rate of change

Q: Which of the following = differential equation y' Show your solution A. y = 5 tan is the particular…

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Q: dx dt = cos x cos²t

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Q: Let R be the region between the x-axis and the graph of f(x)=x^2−3x on the interval [0,3] The solid…

A: Given that the region R is bounded by the function f(x)=x2−3x and x-axis on the interval [0,3].

Q: After t days of advertisements for a new laundry detergent, the proportion of shoppers in a town who…

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Q: 4 x - 2 f(x) = ax² - bx+3 2x = a + b x if x < 2 if 2 < x < 3 if x ≥ 3

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Q: Find the Range of 1/√x³+8

A: We can find the Range of the function .

Q: 5. Using implicit differentiation, find dif dx 2 x² + xy + y³ = 0.

A: Topic = Derivative

Q: Given the curve r(t) = 4t (4) i + (4 cos(t)) j find the acceleration vector at t = ㅠ 3

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Q: Which of the following differential equation : Show your solution. is the general y² = y sinx = C…

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Q: Can we use x = vy? (x -y In (y/x)) (vy - y In(y/vy)) --> (vy - y In(1/v))

A: yes you can do it.

Q: ind the volume V of the solid obtained by rotating the region bounded by the given curves about the…

A: Given: y=8x3,y=0,x=1 about x=2

Q: 5. Y = √√4x + 3

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Q: Question Determine the point of intersection of the following two lines. L₁ : L2: Enter your answer…

A: Question:- Determine the point of intersection of the following two lines: L1: x=3-14s, y=-19+3s ,…

Q: Evaluate the limits. (You may not use L’Hopital’s Rule). x→infinity e^-x ∙ cos(4x)

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Q: 4. The function f(x)=x²-x² - 2x + 1 has three zeros on the real line. For each of these zeros, find…

A: We have to locate all 3 real roots of f(x) = x3-x2-2x+1 on the real axis. Given f(x) is continuous…

Q: The following graph shows the weight measurements of the average infant from the time of birth (t =…

A: To find the slop of the respective tangent line . To find the average rate change.

Q: Which of the following functions satisfy x²dy+ y(x + y)dx=0 with y(1) = 1 ?

A: A detailed solution is given below.

Q: Can we use x = vy?

A: The Solution is given below

Q: For the function f(x) = 3ˣ find f(x+1)/f(x-2)

A: Topic = Function

Q: - For the function, find and simplify f(x + h) – f(x). (Assume h ± 0.) h f(x) = 5x² − 2x + 1 f(x…

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Q: Suppose y = f(x) is the equation of a curve which lies between the curves y = x² + 3 and y = 621…

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Q: Evaluate the limit using the Squeeze Theorem as necessary. (Use symbolic notation and fractions…

A: Let's find limit of given function.

Q: Find f(x) using the limit definition of the derivative. 3.r x+l f(x)=-

A: The given function is f(x)=3xx+1 We have to find the derivative of f(x)

Q: 4. Compute (ƒ-¹)'(2) if ƒ(x) = (x + 1)(2x − 1)−¹.

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Q: 1 कर lim(1+xe2x) X→0 ४

A: Find the limit of the function when x tends to zero.  f(x)= (1+xe2x2)1/x^2

Q: Suppose that lim f(x) = 3 and lim g(x)= -8. Find the following limits. x-b x-b a. lim (f(x) + g(x))…

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