4. Given the reciprocal function, y = 1/x, if the values of x increase, then the values of y . . . (a) decrease (b) increase (c) remain constant (d) increase & decrease

Q: A) f(-1)-f(-2) (-1)-(-2) QIn parts (A)-(C), find the indicated quantity for y=f(x)=4-x². = N

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Q: y=V?-イー8<x<0} 2 30 y = y=V?-(-てくさ<-0.509}{0.509<y<7} y = V 62 – x² {-6 <x< -1.046}{1.046 <y< 6} ソ=…

A: Answer for sub question 1: Given y=64-x2 To find area under the curve y using definite integrals.…

Q: 2/3' 2/2, Suppose 3z? + 2y² + z² = 1 and z = g(x, y) > 0. Determine g, ) and gy 2/3' 2/2

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Q: Point A is given ir and

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Q: Eliminate the arbitrary constants of    y= Ae^(5x) + Bxe^(5x) + e^(3x) (Ccos10x + Dsin10x)…

A: Given that y=Ae5x+Bxe5x+e3xC cos10x+D sin10x The objective is to eliminate the arbitrary constants.…

Q: C. Solve the following problems. 1. A particular cellphone tower is designed to service a 12-mile…

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Q: Problem - 24 : Given f(x, y) = e®° y' – a®y³, fæy = fyx. – x°y°, show that

A: See the attached file for a step by step explanation.

Q: Chapter 13, Section 13.1, Problem 018 Bob's Pest Removal Service specializes in removing wild…

A: relationship between x and y isy=25x+69a.when x=3 hours theny=25(3)+69y=75+69y=$144therefore Bob…

Q: 3. If two variables, x and y, have a strong linear relationship, then V causeg y to hannen

A: Here given two variables x and y have Strong linear relationship Means that there may be either…

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Q: V(0) represents the initial rate at which the water is leaking, and V(20) represents the rate at…

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Q: In Problem,the graph of a hyperbola is given.Match each graph to its equation.

A: Definition used -                   Horizontal hyperbola -…

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A: Given equation is z=3xy. We know that if we have equation z=kxy, then it means that z is directly…

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Q: The graph of a parabola is given.Match each graph to its equation

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Q: The following information regarding a dependent variable y and an independent variable x is…

A: First we calculate the slope in order to calculate the intercept. The slope, b, can be calculated…

Q: 2. y' + ху %3D 6х у A. y = (6+ Ce B. y = (6+ Ce) C. y = (6e+c) D. y = (6e +c) x2, 2 А. у 2, 2 6+ Сет…

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Q: Question (4): x'(t) = y(t) – 3x(t) + 3, y'(t) = 2x(t) – 4y(t) + 8 x(0) = 12, y(0) = 15

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Q: Consider 250g of iodine which decomposes at a rate proportional to the amount present. Around 150g…

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Q: 1. If x is an exact measurement of a certain quantity and x0 is its approximation, the concept of…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: If y = ee then y' – y" + e"y' is equal to

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Q: 2. y = Vg(h(x)) (g) cha))た. A'(x)'a 1,

A: To find the derivative y=√(g(h(x))

Q: 4e (c) y" – y = 1-е-2г

A: Given:    y" - y = e-x / ( 1 - e-2x )

Q: 2. A car rental company charges $50 a day and 20 cents per mile for renting a car. Let y be the…

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Q: x°y "у" , у(1) — 0, у"(1) — 1 + ху — у — 0, у(1) — 1, У"(1) — 1

A: x3y"' +xy' -y=0⇒D(D-1)(D-2) +D -1 =0 where we consider z=logxon solving cubic equation we…

Q: Solve the following Dife rential equations. 1. (xy+y")y' = y

A: Topic:- differential equations

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A: Quadratic Functions: Quadratic functions are the function of degree 2 in one variable and that can…

Q: 10) If y is inversely proportional to x, and the constant of proportionality is positive, then which…

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Q: Express the statement as a formula that involves the given variables and a constant of…

A: Given: y is directly proportional to x and inversely proportional to the sum of r and s.

Q: 7) y'+ ky = e 9) xy' – 2y = x'e* 13) y'+xy = xy -1

A: Explanation of the solution is given below....

Q: 26. y=+x+1 *+x+1 27. y=x+x+x+x* 28. y= ax+bx+c -1

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A: The scenario can be represented by a right triangle as shown:Let the starting point be denoted by…

Q: (11) tanh(x+ y) =: tanh x+ tanh y 1+tanh x.tanh y

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Q: 1. The value of E (x\y) is

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Q: 2 x+ xeʻx + ve?x y' = ,where x 0 %3| 25 2xe´x

A: To find : general solution for the ODE                 y'=x+xe2yx+ye2yx2xe2yx ,            where x≠0

Q: 2 0.8 f(x, y) ,2 + fe af

A: Given function is, fx,y=x2+y920.8

Q: y'(x) = P(x) + Q(x) * y(x) + R(x) * y (x) P(x) = -e2** ricatti dif. Q(x) = 2 R(x) = e-2*x

A: The given Ricatti's differential equation is                    y'(x)=-e2x+2y(x)+e-2xy^2 ⋯⋯⋯⋯ (1)…

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A: Given: y is directly proportional to the square root of x and inversely proportional to the cube of…

Q: A. y = -(x – 1)² + 2 B. y = (x – 1)2 + 2 C. y = -(x + 1)² + 2 D. y = (x – 1)² + 2 6. A. y = -2(x –…

A: 6.  The graph is downward opening parabola. We know that standard form of this type of parabola is…

Q: y 3} (1, e) y = e* (1, 1) y= x° -1 1 3 2. 2.

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Q: y" − (x + 1)y' — y = 0 a. do y = a₁ [1 + x² + ²x¹ + ² xº + ... ] + α₁ [x + ½ x³ + 1⁄2x5 + ²/3; +=x'…

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Q: If the quantities x, y, and z are related by the equation z  3xy,then we say that z isto x and to…

A: we have to fill in the blanks: if the quantities x, y and z are related by the equation z=3xy then…

Q: S(x,y) 1 3 y 1 0.05 0.2 0.1 0.1 0.25 0.1 0.05 0.1 0.05 P(X=1|Y=3)% = .A 2 .C .D B. 2/7 2) 3,

A: Let X and Y be the two random variables with joint probability fXY (x,y), the conditional…

Q: If x and y are two quantities, then y is directly proportionalto x if there is a nonzero number k…

A: The statement: If x and y are two quantities, then y is directly proportional to x if there is a…

Q: OX±Y= 0Ý o +Y = ox + oý ±2[ E [XY] – E (X] E (Y] ] |

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Q: y=x? , y=x+6 , 2y+2= 0 (1,9) (0, x-intercept : (-6,0) y=0 zy = -2 y= -| A (-6.0) 10,0) y-intercepti…

A: The region is bounded by the curves,y=x3 , y=x+6 , and 2y+2 =0 Finding intercepts,y=x3  (passing…

Q: 7) If z varies directly with x and inversely with the square of y, when x = 6, y = 3, and z = 4,…

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Q: Use the graph of y = f(x) to graph the function.

A: Consider the given:…

Q: If z varies directly with x and inversely with y, when x = 2, y = 5, and z = 10, what is z when x =…

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