Separation of Variables Obtain the general solution of the equation x2 dx + y(x-1)dy = 0

Q: Find the transform of the given function by use of a table. f(t) = cos -4t-sin-4t A F(s) = B F(s)= C…

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Q: point) The graphs below show level sets for six different functions, where the red areas represent…

A: 1. - graph A 2. - graph E 3. - graph F  4. - graph B

Q: Find the points of inflection and discuss the concavity of the function f(x) = sinx-cosx on the…

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Q: Find the vector component of v = (4, -1, 7) along b = (4, 8, -8) and the vector component of v…

A: We know the expression for the vector component of v along b is: Vector component of v along…

Q: Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region…

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Q: Evaluate the following limit: lim (7x+1)3cotx x → 0+ O O lim (7x+1)3cotx=e³ vant O lim (7x+1)3cotx =…

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Q: Suppose that the distance an aircraft travels along a runway before takeoff is given by D=(5/2)t²,…

A: Derivate D to find the speed and then equate that with the given speed to find the time.

Q: 7. Estimate the following limits numerically or state that the limit does not exist. If infinite,…

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Q: Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all…

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Q: large tank is filled to capacity with 300 gallons of pure water. Brine containing 4 pounds of salt…

A: we will  find the required.

Q: 4. This problem involves lists made from the letters T, H, E, O, R, Y, with repetition allowed. (a)…

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Q: lentify the equation as a homogeneous or exact equation differential equation. then solve the…

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Q: Determine whether the function given below has an inverse function. If it does, find the inverse…

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Q: substitution u = √x to evaluate √√√x+1 s X dx

A: The objective is to evaluate the integral.

Q: Homogeneous Equations Obtain the family of solution of the equation (x2 + y2)dx + xydy = 0

A: The given equation is; (x2+y2)dx+xydy=0

Q: sec(log3 m) dm mln 3

A: ∫seclog3mm ln3dm

Q: Divide using long division. State the quotient, q(x), and the remainder, r(x). (6x3 + 19x² + 5x-4) +…

A: Given that  (6x3+19x2+5x−4)÷(3x−1)

Q: Find f(a), f(a+h), and the difference quotient f(a+h)-f(a), where h * 0. h f(x) = 1 - 9x f(a) =…

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Q: dx If z² = x² + y², t = 6, and dt. 5, find dz dt. when x = 4 and y = 2.

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Q: Approximate the arc length of the graph of the function over the interval [0, 8] in three ways.…

A: This is a problem related to arc length of the function. Please find the procedure given below.

Q: Divide using long division. State the quotient, q(x), and the remainder, r(x). 6x³-4x²+x+7 6x²+2x+4…

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Q: Find all points of inflection on the graph of the function f(x)=-2e-11x2 Select one: a. Ob C. d. be.…

A: To find the point of inflection of the given function.

Q: Find the curvature of the curve defined by r(t) = (6 cos(t), 8 sin(t)) at t = 3πT 4

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Q: Let m(x) = x²-3x - 4; n(x) = 2x² + 5x + 2 and q(x) = 2x² - 5x - 3. Determine. 1. (m+n)(-1) 2.…

A: Solution

Q: Find all relative extrema of the function. (If an answer does not exist, enter DNE.) 3 f(x) = x² -…

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Q: Find the values of x, y and z that correspond to the critical point of the function f(x, y) = 4x² -…

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Q: Evaluate the following integrals, which have irreducible quadratic factors. 207. S 208. 2 (x − 4)(x²…

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Q: Use the Chain Rule to calculate the partial derivatives g(x, y) = sin(x² + y²), x=3v- 3u, y = 4u +…

A: By using chain rule to calculate the partial derivatives ∂g∂u, and ∂g∂v.gx, y=sinx2+y2, x=3v-3u,…

Q: 3 Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the…

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Q: Find the line through (7, 1, -6) that intersects and is perpendicular to the line x = -1 + t, y = -2…

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Q: cos (3x) - ² (-3sin (3x)) dx

A: Take the integral to be calculated as I1 and then add it to the original integration.

Q: f'(2). f(x) = f* (2t - 3) dt

A: Topic:- application of derivatives and integration

Q: Use a graphing utility to graph the function and find the absolute extrema of the function on the…

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Q: Separation of Variables Obtain the general solution of the equation ye2x dx = (4 + e2x)dy

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Q: Find the average value and the value(s) of c guaranteed by the mear theorem for integrals if f(x) =…

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Q: 7) In recent years, many states have passed laws against smoking in public buildings. The total…

A: Solution: We have, N(t) =501+19e-0.4t

Q: Given that the directional derivative of f at the point (9,-9, 4) in the direction of a = 4i-4j-7k…

A: This is a problem related to vector calculus. Please follow the procedure given below.

Q: Determine the local maximum and minimum values of f(x)=2x³+3x²-12x+4 using the second derivative…

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Q: (a) (b) (c) dy (2x-5)² = dx y dy=3x²(y-1) dx dy_y+2 = dx x+1

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: 165. Evaluate the integral using trigonometric substitution: 3 I've -3 √9-x ²dx.

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Q: -5 -4 -3 -2 -1 As x → 1- As x → 1+ I f'(1) = > 10 4 3 2 1 3 5 1 2 (b) Use the definition of a…

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Q: Find the volume of the solid by subtracting two volumes, the solid enclosed by the parabolic…

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Q: unction. (Enter your erivative. (Enter you

A: We have to find the following conditions according to the given information

Q: Find the vector component of v = (4, -1,7) along b = (4, 8, -8) and the vector component of v…

A: Vector component of v along b is given by  projbv=v,bb,bbVector component of v perpendicular to b is…

Q: Suppose that lim g(h) = L. h-0 a) Explain why lim g(ah) = L for any constant a 0. h→0 If we assume…

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Q: 4) Find each of the following for the piece-wise function defined as follows: 3x + 1,x < 2 f(x) {x²…

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Q: Use the shell method to write and evaluate the definite integral that represents the volume of the…

A: Let's find volume by using shell method.

Q: Use a graphing calculator to predict about how many books will have been read in the eighth grade…

A: Topic -estimation Grade number of books read 2 7 3 26 4 62 5 121

Q: Using the position graph below, determine the total distance the particle traveled. T T -3 -4 VA -5+…

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Q: Determine the open intervals on which the graph of the T T function y = 4x-tan(x), 2 2 upward or…

A: Find the double derivative and check within the intervals