Identify the level curve of the function g(x, y) = xy − 9x for c = 8. Write your answer in terms of y as a function of x. Y =

Q: Solve the following DE: dr de +rsece=cos0 Or(sece+tane) = 0 - cose + C Or(sece-tane) = 0 + cose + C…

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Q: If ƒ(x) then f"(x) = · = 0 X (t³ + 5t² + 1) dt -

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Q: First find f' and then find f. f"(x) = 4x − (9x³+x²) + 10, ƒ'(1) = 5, f(1) = -8. ƒ'(x) = f(x) = ← FI

A: To find the derivative and the function from its double derivative.

Q: Calculate the velocity and acceleration vectors and the speed of r(t) = (²92) at the time t = 4.…

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Q: Find the decomposition of a(t) into tangential and normal components at the point indicated. r(t) =…

A: The given data is: rt=3-t, t+4, t2, t=2 Therefore, r→t=3-ti+t+4j+t2k       ......1 Differentiate…

Q: 1. Show all solutions and box final answers. Find the value of x where the function is discontinuous…

A: We need to find discontinuity of function.

Q: A Moving to the next question prevents changes to this answer. Question 2 What is the general…

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Q: Given the differential equation (ysinx-cos²x) dx + cos x dy = 0 a. Determine if the differential…

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Q: 8.314T Pressure of a certain gas can be described by P = . If the volume V goes from 20L to 20.2L…

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Q: . Expand: (i) (2x - 3y)4

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: (ex-y + 1) dx- (ey + ex-y) dy = 0: Show if it is exact, variable-separable, or first-order Give the…

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Q: The oscillating current in an electrical circuit is as follows, where I is measured in amperes and t…

A: We have to find the average value.

Q: Question Find the equation of the tangent line to the function f(x) = −3x³ - 2x² 33 x + 3 at the…

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Q: Solve the following DE: [2x + ycos(xy)] dx + x cos(xy) dy=0 O sin(xy) + x²=C sin(xy)-x²y²=C…

A: To find out the solution of the given differential equation.

Q: Rewrite logg (13) as an expression that only has terms involving log10-

A: Concept: Change of base rule of logarithm logb(a)=  logx(b)logx(a)

Q: Use the given graph of the function to find the x-values for which f is discontinuous. Answer…

A: The graph of a function is said to be discontinuous at a point where there is a break in its graph.

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

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Q: — 0 3 2x + 5 4 zx (cos¹ (x + 3y)) dydx

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Q: Using Boole's Rule, evaluate the integral of a. √x cos(2x² + 7)dx b. In(x + 2) dx

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Q: Problem 1: Given the differential equation (xy+x+y+1) dx + y dy=0 with the condition y(1) = 0: a.…

A: Given differential equation:- xy+x+y+1dx+ydy=0

Q: Find the intervals where the function y = |a +11-1, whose graph is given below, is increasing and…

A: Given data:- The given function is, y=x+1-1

Q: The function f(x) = 2x^3 - 27x^2+ 108x+ 10 has one local minimum and one local maximum. Use a graph…

A: Consider the function  f(x)=2x3-27x2+108x+10

Q: The revenue in dollars from the sale of x calculators is given by the equation R(x) = 6 + √540x-2x²…

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Q: dQ dt (Type an expression using t as the variable.) Coo ...

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Q: 227. y' = 3x + xy

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Q: Use the unit cirle and the fact that sine is an odd function and cosine is an even function to find…

A: Given query is to find the value of the sine function.

Q: (xy + x +y + 1) dx + y dy = 0 Where: . y(1) = 0: Check if it is separable, exact, or linear. Give…

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Q: If f(x)=6+(6/x)+(6/x^2)  find f'(x)

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Q: Given the differential equation (ysinx-cos²x) dx + cos x dy = 0 a. Determine if the differential…

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Q: Find dx (b) y = Do not simplify. (x - √e) sin-¹ (2x) √(5+ 2loga)9 (use logarithmic differentiation)

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Q: The daily cost of producing a high performance wheels for racing is given by the following function,…

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Q: A Moving to the next question prevents changes to this answer. Question 4 Given: y² + t² + (e2y +…

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Q: Find the differential of the function. dy = Evaluate it at the given values of x and dx. x = 2 and…

A: To find the differential of function.

Q: Make a sign diagram for the derivative of the function. R) = -x + 4 = 4x + 5 F'(x) [ increase…

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Q: R=0.2q + 50g Commission cost C to the sales force at revenue R is: R² C 0.1R+ 3000 dC Find i.e. find…

A: Chain rule :

Q: Find F'(x). F'(x) = rx2 - 6x² / = F(x)= Need Help? 5 t + 9 Read It dt Watch It

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Q: The table below gives for the value of continuous function f at each a-value. Using the Intermediate…

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Q: Write an expression in factored form for the polynomial of least possible degree graphed below. y(x)…

A: Given query is to find the equation of the graph

Q: Calculate the derivative t4 d dt et √4 + x² dx ←

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Q: y²dx + (3xy + y² - 1)dy = 0

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Q: Determine the type of DE (select all that applies): 3x³y¹=2y (y-3) Exact Linear Separable None of…

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Q: Consider the following function. f(x)=x²+3x²45x + 8 (a) Make a sign diagram for the first derivative…

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Q: Find an equation of the tangent plane to the given surface at the specified point. z = ex − y + 7,…

A: See this solution in below

Q: 3. xcsc()-y|dx + xdy = 0

A: Concept: Any equation with one or more terms and one or more employee derivatives of the dependent…

Q: +∞ n=1 (−1)" (sin())" nn

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Q: Consider the following function. t(x) = (x − 4)² + 7 Step 3 of 4: Find two points on the graph of…

A: Given that t(x)=(x-4)2+7-(i)Our Aim is to find two points on the graph of the parabola other thanthe…

Q: Given that; f(2)=2, f'(2)=3 g(2)-6, g'(2)=4 Calculate the following (fg) 2 = (f/g) (2)= (g/f) (2)=

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Q: Problem 1: Given the differential equation (x²y² + x² + y² + 1) dx + y² dy = 0 with the condition…

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Q: 9. A trough is formed by bending a 4m wide piece of metal into segments as shown. What angle 0 will…

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Q: +(x) = 2x² √x + x ²7 - -

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