2 2 Find for x² + y dy dx 2 = a³

Q: A. Exact Differential Equations Verify that the following DEs are exact, then find the general…

A: The given equation is; [cos(x+y)+cosy-3x2]dx+[cos(x+y)-xsiny+ey(y+1)]dy=0

Q: 4. A company's average variable costs are given by a function 0,202-7Q + 150. Find out where the…

A: Given Average Cost :- FQ=0.2Q2-7Q+150

Q: 12-14 Simplify the express 12. tan(sin ¹x) 13. sin(tan ¹x) 14. sin(2 arccos x)

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Q: . If x = t + cost, y = sint, find d²y dx²

A: we will find the required.

Q: The slope of line tangent to y = x² + 2x at P(1,2) is: A. 1 B. 2 C. 3 D. 4

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Q: Consider the graph below of the function g(x) to evaluate the integrals. The graph consists of two…

A: The integral is consist of area under two straight line and one semi circle

Q: Find the area bounded by 4 400-16x² Round to four decimal places. Y = 9 X = 0, y = 0, x = 2.

A: Topic = Area

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) √er (5 + 6e 6e)7/2 dr

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Q: Use the IVT (intermediate value theorem) to show that the given polynomial f(v)= 2v2 + 3 - 3v has a…

A: Here we have to use the intermediate value theorem.

Q: Solve the integrals: (1) (c I₁ = 1 |x| x² + x| dx

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Q: OV 7 The graph of a linear equation, y = f(x) is shown above. Find the interval where f(x) < 1.…

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Q: A rectangular piece of land has dimensions 500 ft by 150 ft. Find the amount of fencing needed to…

A: Given query is to find the perimeter of the land.

Q: Determine the domain and range of x) = (x + 2)²

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Q: 3) Suppose that f(x) = cos x and dy dz Choose the best answer. Find • O-sin(x) O-3sin(3x) O-3sin(x)…

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Q: Find an equation of the tangent line to the graph of y = B(x) at x = 6 if B(6) = 0 and B'(6) = -1/2

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Q: 14. Find a y=r³ parametrization for the path that travels along the graph of z from (-1,0) to (1,0).

A: To find the parametrization of the path that travels along the graph of y=x3-x from (-1,0) to (1,0).

Q: Please help me answer this question  Brenda is stumped when it comes to graphing polynomials.  She…

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Q: A chemical reaction converts a certain chemical into another chemical, and the rate at which the…

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Q: A. A. Find if x = 2t4 - 4t² and y = t4 - 4t. dx t²-t+1 2t(t+1) B. t² +t+1 2t(t+1) Find f'(t) if f(t)…

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Q: At which value of y does the relative minimum for the curve y = 3x³ - 3x² - 24x + 10. A. -19.5 B.…

A: Given:      Curve y=3x3-3x2-24x+10 differentiating the equation      f'x=ddx3x3-3x2-24x+10…

Q: 5. Choose the correct answer for the number of (a) the vertical asymptote(s) (b) the horizontal…

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Q: Evaluate the integral. (If the quantity diverges, enter DIVERGES.) 9 0 dx 9 − x please…

A: Given, ∫09(9-x)dx

Q: 12. Discuss the continuity of the function g(x) x²-4 on the interval [-1,2].

A: Given gx=1x2-4 interval x∈-1, 2

Q: nd the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer…

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Q: 3. Calculate the angles that vector H = 3ax + 5ay y-, and z-axes 8az makes with the x-

A: Given Vector -   H = 3ax+5ay-8az since , angle of vector with x-axis =…

Q: Choice 1:Population Model The population of bacteria in a culture grows at a rate proportional to…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 1. 7. What is mos(+h)- cos(2), ? h (A)-1 (B) - √2 2 (C) 0 (D) 1 (E) The limit does not exist. 2 If…

A: 1 limh→0 (cos(π/2 +h) -cos(π/2))/h limh→0 sinh/h - 0 this is formula so answer  = 1 answer D is…

Q: 7 If g(s) = 8√s +- S + 4 VS + 70, compute g'(s).

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Q: Find the absolute maximum and minimum values of each function over the indicated interval, and…

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Q: 3. Let f(x) = 3x + 9 and g(x) = √4x². Find the functions listed determine their domain. a. (f -…

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Q: Use the theorem given below to find the curvature of r(t) = tj + tk. k(t) = Theorem: The curvature…

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Q: dy Write the function below in the form y=f(u) and u = g(x). Then find as a function of x. dx y = -…

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Q: Suppose the density of a wire is given by p(z) = 0.6 +0.09 sin(27) kg/m, where is the distance from…

A: NOTE: Refresh your page if you can't see any equations. . the given density function is the length…

Q: 12-14 Simplify the expression. 12. tan(sin ¹x) 13. sin(tan ¹x) 14. sin(2 arccos x)

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Q: 4. Find the solution of the DE: (3x² + 6xy²)dx + (6x²y + 4y³)dy = 0.

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Q: 5. Determine the domain ONLY of g(x) = 4-x /4-x

A: The given function is g(x)=4-x4-x We have to find the domain of a the function . Domain of a…

Q: Find the velocity, acceleration, and speed of a particle with the given position function. r(t) =…

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Q: Use the given graph of f to find a number & such that if 0 < x - 3| < & then. If(x) - 2| < 0.5. y 8…

A: Given graph:-

Q: 2. Find the solution of the IVP: (1+y cos x) dx - sin a dy = 0, y(n/2) = 1. Then, evaluate y(1.603).

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Q: x Find z, if z = xyev, x = rcos (t), y = rsin(t), when r = 2 and t =

A: Here Given z = xyexy  Now to Find zt means Partial derivative of z with respect to t. Also given x =…

Q: hello please help in assisting me with how to get the functions for this shape

A: NOTE: Refresh your page if you can't see any equations. .

Q: 3.) Using the Graphing method, find the limit. When necessary, state that the limit does not exist.…

A: The given function, Gx=2+x,for x≤-1x2,for -1&lt;x&lt;39,for x≥3 We have to sketch the graph of the…

Q: Evaluate 10 ļ 1 7ln x X dx.

A: NOTE: Refresh your page if you can't see any equations. . ................(1) substitue take…

Q: Construct the truth tables for the given compound statements. 1. ~p ^ ~q р T T F F q T F T F ~P ~q…

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Q: t costs $90 to rent a car driven 100 miles and $140 for one driven 200 miles. If x is the number of…

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Q: On the planet Sulvania, a mountain with an elevation of 1840 feet is the highest peak on the east…

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Q: -2 1 1 -1 -3 1 -2 are operations R2 = -2R1 + R2 and R3 = 3R1 + R3 used to convert the 2 and 3 in the…

A: We can find two row operations.

Q: Sketch the graph that possesses the characteristics listed. f is concave down at (1,4), concave up…

A: Given,   f concave down = (1,4)   f concave up = (9 , -6)   inflection point = (5 , -1)   graph

Q: 1. Find y' of tan(x²y) = 3x + y²

A: Given:      tanx2y4=3x+y2 differentiating on both sides   ddxtanx2y4=ddx3x+y2  Applying…

Q: The rate of change in data entry speed of the average student is ds/dx = 4(x + 9)-1/2, where x is…

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