Solve by separating variables. 5y4dydx=12x

Q: (9) Express the domain of f(x) = log(2x - 4) in interval notation. A (0,2) B (-2,00) C (2,00) D…

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Q: 1) a) Find the exact length of the curve y = X 1 + 6 2x y = b) Find the exact area of the surface…

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Q: Part I: Using the given data, follow the algorithm below to create a mathematical model which…

A: Given the data of population growth of a region. It is required to find the difference D in…

Q: ,2/3 = 4 x2/3 + y2/3 (-3√3, 1) (astroid) ул 0 8 X

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Q: 45. Use the properties of integrals to verify that 2 ≤ ₁₁ √1 + x² dx = 2√2 1

A: 2≤∫-111+x2dx≤22

Q: Which term in the following matrix is "11? 3 11 11 -8-4 7-21 7 12 2 13 0-9 1

A: The given matrix is;  [3   11   7    -2 -8    -4   12   2 1    13    0    -9]

Q: 39. If f f(x) dx = 37 and fo g(x) dx = 16, find [2f(x) + 3g(x)] dx.

A: If ∫09 f(x) dx = 37 and ∫09 g(x) dx =16 , find ∫092 f(x) + 3 g(x) dx.

Q: Chapter 2. Use the Linear Method to solve. dx 8 + ²y = 24x³ x 24 A) y = ²x4 + Cx-¹ C) y = 2x4 + Cx-8…

A: Explanation:::

Q: 5 30-60-90 Triangle 30 12 x 12 2x Ratio of Side Lengths x:x√3:2x=1:√3:2 60% x=254144=169 x = 1169…

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Q: Find the area under the function f(x) = 3 x² -2 from x=1 to x=2 06 05 3 O none of these answers

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Q: T3(x) = f(x) = x² − e−³x - a = 0 n =

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Q: Estimate the area under the graph of f(x) = 1/x on [1, 3] using a four rectangle left endpoint…

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Q: Evaluate Lay xy ds where C' is the right half of the circle x² + y² = 16 Calculator Check Answer

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Q: Bianca invested $5000 in an account that pays 5% annual interest. Write a function that represents…

A: Let y is the amount  x is the years  SI =( P* R* T)/100  We have  P= principal = $5000  R = rate =5%…

Q: Differentiate in two ways: y = (x + ¹)(x - ² + 1)

A: We know that the product rules of the derivative d/dx(uv)=u*(dv)/(dx)+v*(du)/(dx)

Q: 1. Let E= {x,y,z|x, y20, 0≤x≤1-2² - y²). Compute the following triple integral 1 = = // √ √ (2 ³ z…

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Q: -4-3-2 7 y = 3 -1 Write an equation for the function graphed above

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Q: 15. A 30 N force is required to hold a spring 20 cm beyond its natural length of 15 cm. How much…

A: Given:A force of  30N is required to hold a spring that has been stretched from it's natural length…

Q: determine the volume of the shape obtained by rotating the region bound by y=x^2 and y=6-x around…

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Q: Determine the slope of the tangent line, then find the equation of the tangent line at t = 6 x = 5…

A: Given: x=5 sint ; y=2 costWe have to find the slope of the tangent line, then we have to find the…

Q: State the coordinates of the intercepts, stationary points, and the inflection point of p(x) = 2x³ −…

A: According to question,Given Function,px = 2x3-3x2-36x+5

Q: Find the curl of the vector field F = (5y cos(x), 2x sin(y)) curl F 1 Calculator Check Answer

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Q: find derivative of f(x) O none of these answers ○/(x² + 1) (2x) O O 4x 33/(x²+1) 2x 3 (x²+1) = √√(x²…

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Q: 4 X Find f'(-2) if f(x) = 5 - 4x. f'(-2)= (Simplify your answer. Type an integer or a fraction.)

A: given,  f(x)=x45-4x

Q: (8) Find the inverse of the function f(x) = -x³ +2.

A: To find out the inverse of the given function.

Q: 9. Find the limit of the sequence an = 1+4n2 1+n² if it is convergent.

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Q: Find increasing interval for f(x) = x² - 4x +9 O none of these answers O (-infinity, 2) O (1,…

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Q: 2. Find the equation of the tangent line to the curve. x=3t²+8t, y=2t²³-4t, whent=-2.

A: To find out the equation of the tangent line to the given curve when t=-2.

Q: What is the coefficient of the term containing x^7y in the expansion of (2x+y)^8?

A: What is the coefficient of the term containing x^7y in the expansion of (2x+y)^8?

Q: 5п (44) Find the exact value of each of the six trigonometric functions for 0 = 6 sin 5п 6 = CSC xc…

A: Using allied Angle we find all value of trigonometric function. Here 5π6∈(π2,π) In second quadrant…

Q: Find the indefinite integral and check the result by differentiating- Se²x (2)dx

A: Solution- ∫e2x(2)dx We have to calculate the value.

Q: Which numerical method is more accurate, the Euler method or the Runge-Kutta method?

A: Here we have to tell which method is more accurate when compare to Euler method and the Runge-Kutta…

Q: y" +9y = cos(3t), y(0) = 0, y'(0) = 6

A: y"+9y = cos (3t) y(0)=0, y'(0)=0.

Q: Chapter 7. Find the La Place Inverse Transform. 48 9-1{1/8 + A) 4t4 + 4 sin(4t) C) 2t4 + 4 sin(2t) 8…

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Q: Utilize Cylindrical Coordinates to construct (do not calculate) one or more integrals that show the…

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Q: Find the inverse of the matrix

A: Given matrix: 303-30-24-30 We need to calculate its inverse.

Q: Find the surface area of the part of the plane z7+ 4+ 5y that lies inside the cylinder 16 Calculator

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Q: Find the second-order partial derivatives of the function. Show that the mixed partial derivatives…

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Q: Find the mass and the indicated coordinates of the center of mass of the solid region Q of density p…

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Q: A company charting its profits notices that the relationship between the number of units sold, x,…

A: A company charting its profits notices that the relationship between the number  of units sold, x,…

Q: Solve this linear programming problem using graphical methods. Restrict x ≥ 0 and y ≥ 0. Maximize f…

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Q: A. Find the intervals on which f(x) increasing or decreasing = In x 器 is B. Find the maximum value…

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Q: The gradient of f(x, y) = e²z sin(1- y) at (x, y) = (1, -1) is defined as followed: V f(x, y) =…

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Q: Find all solutions of the equation in the interval [0°, 360°). (Enter your answers from smallest to…

A: To solve the following

Q: y" - 4y' = -4te²t, y(0) = 0, y'(0) = 1

A: Differential equation is called the equation which contains the unknown function and its derivatives…

Q: Evaluate fay³dx + x^dy, where C is the rectangle with vertices (0,0), (4,0), (4,1), and (0,1)

A: Evaluate the integral (xy5 dx + x4dy) with vertices (0,0) (4,0) ( 4,1) (0,1).

Q: Assume that a company's marginal cost function for the manufacture of x phones per hour is c(x) =…

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Q: 36. Given that 3x√x² + 4 dx = 5√5 – 8, what is S₁3u √/u² + 4 du?

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Q: on If lim[f(x) + g(x)] = 5 and lim[f(x) - g(x)] = 2, find lim [f(x)g(x)]. 290 O a. 10- O b. 13. Oc…

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Q: The profit P (in thousands of dollars) for a company spending an amount s (in thousands of dollars)…

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