-Reduce the equation to its ordinary form using rotation and translation of axes

Q: 9. [ 2x + y cos (xy)] dx + x cos (xy) dy = 0

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Q: Use a calculator to evaluate the expression.   Round your answer to the nearest hundredth.…

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Q: Solve linear diff eq dy/dx = e^(-x) -4y ; y(0)=-10

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Q: 9. Find the volume of the solid generated by revolving about the y-axis the region bounded by the…

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Q: Find the first partial derivatives of the function. f(r, s) = r ln(r³ +56) fr(r, s) = fs(r, s) =

A: To find out the first partial derivatives.

Q: Solve the differential equation. 8. x ( 3xy – 4y^3 + 6) dx + (x^3 – 6x^2y^2 – 1) dy = 0

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Q: find the average rate of change of g(x)= -2x3 +5x2 from x=-1 to x=2 simplify your answer as much as…

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Q: (b) Find the intervals of increase or decrease of ƒ.

A: Solve the following

Q: The function is defined by f(x)=√x. Write down the expression for h (x).

A: Given: and f(x)=x.

Q: (b) The graph of y-g(x) is shown. Draw the graph of y-g(2x). X

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Q: Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = x4 - 8x² + 9 (a) Find…

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Q: Calculate the following derivative if h(w) = √webw (Use symbolic notation and fractions where…

A: see below the answer and calculation

Q: Solve the given initial-value problem. x(x + 1) dy + xy = 1, y(e) = 1 dx y(x) = Give the largest…

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Q: Q5: Find the inverse Laplace transform of: f(s) = 3²(²-3)

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Q: Below are three functions with their domains and codomains specified. For each one, classify it as…

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Q: Watch help video Arianna drove 180 miles in 3 hours. If she continued at the same rate, how long…

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Q: 3. g(x) = (2x - 1)³

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Q: A cube is box all of whose sides have equal lengths 3s². True False

A: a cube is made of 6 squares whose sides are of equal length

Q: Solve the differential equation. 15. 2x ( 3x + y – ye^-x2) dx + (x^2 + 3y^2 + e^-x^2) dy = 0

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Q: Find u · (v ✕ w).

A: Here we have to find the given vector operation

Q: Determine whether the statement is true or false. An equation of the tangent line to the parabola y…

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Q: Find dy dx for sin(xy) + y³ = x² + 1 and use it to find the equation of the tangent line at the…

A: use differentiation for finding the equation of tangent line.

Q: (y^3 - x^3) dy = (3y•(x^2) +1) dx Solve exact diff eq

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Q: a. ²₁ (5x¹-2x³) dx

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Q: Q4/ Using the Taylor series method to solve: dy = y cos(x), Where y(0) = 1. dx

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Q: = 2. If y = sin³ (-) cos³ (1) prove that y' = sin² (x) cos(x)

A: Topic = Derivative

Q: (C): Find representative Fraction scale (R.F) from verbal statement of (6 inch to 1 mile) (12mile to…

A: Given :6 inch to 1 mile :12 miles to 1 inch

Q: Express the function in the form fogo h. (Use non-identity functions for f, g, and h.) H(x) =tan(√x)…

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Q: (2z +5, z 5 From the following results, determine whether the function f(z)-10, conclusion. (1)…

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Q: Suppose two positive real numbers a and b add to 120. Find the values of a and b that maximize the…

A: Given a+b=120 .....1

Q: Find the area of the largest rectangle that can be inscribed in a circle of radius 20 cm. Answer:…

A: We know that maximum area of rectangle in any circle is square.

Q: b. Find the values of dz/8x and dz/dy for the following expression: xe+ ye² + 2 lnx - 2 - 3 ln 2 =…

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Q: When the expression log, (47) - log, (3), b > 1, is written in the form log, a, the value of a, to…

A: We need to find a.

Q: find  the area of the  region bounded by the  curves y²=4px and x²=4py

A: To find the area.

Q: 8) y(y³- x) dx + улу x(y² + x) dy = 0

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Q: Perform a first derivative test on the function f(x) = 2x3 + 3x2 - 72x+4; [-4,7]. a. Locate the…

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Q: There are 28 students in Mr. Connelly's Grade 12 mathematics class. The number of students in the…

A: Denote nA=number of elements in the set.

Q: Write the following sets in set-builder notation. There may be more than one correct way to do it.…

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Q: Solve the differential equation. 1. (x-2y) dx + 2 (y-x) dy = 0

A: Given :(x-2y)dx + 2(y-x)dy=0

Q: Find the volumes of the solids generated by revolving the region about the given line Use the…

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Q: Q.1- Evaluate the following integrals (answer two only) a- So √x e-√x dx 1

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Q: (b) The graph of y-g(x) is shown. Draw the graph of y=-g(x).

A: we have the graph of F(x) vs x when we put -x in place of x the graph will be mirror across Y- axis…

Q: Find an explicit solution of the given initial-value problem. dx = · 3(x² +1), x(7) = 1 dt X =

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Q: Find the general solution of the given ODE. * (x+y-1)dx - (x + y)dy = 0 x+y+ ln |2x + 2y - 1|= C…

A: The given ODE:x+y-1dx-x+ydy=0.We need to solve the above ODE.

Q: f(x) = 5x + 2

A: Given.

Q: Find an equation for the line that passes through the points (6,-6) and (-4,-4)

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Q: 1. find the derivative 2x² - 6x³ + 5x²-3x + 17 Enter your answer

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Q: 3/ 10. Find the arc length of the curve y = x/2 +4 from x = 4to x = 9.

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Q: 5) y ² ( x dy + ydx) = (xy + 2) dyz

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Q: Use Taylor's Inequality to estimate the accuracy of the 5th degree Taylor polynomial approximation…

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