Decide which of the two given functions is linear and find its equation. 12 3 4 X 0 f(x) 9 14 g(x) ---Select--- V = 19 11 14 21 24 29 22 29

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A: Given that      differential equation   6y''+y'-y = 0      ,        y1= ex3         and…

Q: Use sigma notation to write the sum. 7 [›( ² ) + ²] + [²( ² ) + ²] + ... + [>( ² ) + ²] X 7j 214 Σ j…

A: Given the sum is 714+2 + 724+2 + … + 784+2

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Q: Diminishing Returns Jesaki Inc estimates that it will sell N(x) units of product after spending $x…

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Q: 1) Solve the following ODES by Undetermined Coeff. ● 4X 11 X y - 16 y = 19.2 € + 60e, y(a) = y() -4X…

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Q: 11. (2.3.34) Let f: B → C and g: A → B be functions. (a) Prove or disprove the following statement:…

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Q: Use the gradient to find the directional derivative of the function at P in the direction of v. h(x,…

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Q: 11

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Q: The indicated function y₁(x) is a solution of the given differential equation. Use reduction of…

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Q: Find a unit normal vector to the surface at the given point. [Hint: normalize the gradient vector…

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Q: -4 -2 (a) x=¹t+3, y = 2² VX (b)x=²2t, y = √t 11 (c) x = ²³ - 2t, y = 2² - t ✓X III (d) x = cos(5t),…

A: Please see the below picture for detailed solution.

Q: 3. Evaluate SIS 3z dV where E is the region inside both x² + y² + z² = 1 and z = E x² + y².

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Q: Evaluate the line integral y = x² from (-1, 1) to (1, 1) and the line segment from (1, 1) to (−1,…

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Q: Find f(x) if f" (x) = 2, f(0) = 1 and f(1) = 0.

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Q: Evaluate the integral. (x6 + 4y³) dy

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Q: 2. (x + y) dx + (3x + 3y − 4) dy = 0

A: The given differential equation is;  (x+y)dx+(3x+3y-4)dy=0.

Q: z²i+xzj+ye² of the sphere x² + y² + z² Given F = 2 [[ S 50 that lies inside the cone z = √x² + y²…

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Q: write on paper for upvote please. Provide Exact

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Q: A circle starts out with a radius of 1cm. (at time t = 0) and begins growing. The area of the circle…

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Q: Find equations of the spheres with center (2, -3, 5) that touch the following planes. (a) xy-plane…

A: As per our norms we have to write one question at a time kindly repost remaining questions.

Q: Find the general solution of the given higher-order differential equation. + 3y" + 3y' + y = 0

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive.…

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Q: 14) At what point on the graph of f(x) = instantaneous rate of change? a. x=8, x=2 b. x = 4 2009-2…

A: Given fx=x-8x-2x-4

Q: Write an equation for the function graphed below -7 -6 -5 -4 -3 -2 5+ 4- 3- 2 1 -2- -3 -4- -5+ 1 2 3…

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Q: 10) Solve a. b. X-6 x-3 x+2 X+1 = x = -2,-1 x = 1 for x. C. d. x==1 x = 0

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Q: A population grows according to an exponential growth model, with Po = 40 and P₁ = 72 - Complete the…

A: topic- exponential function

Q: f(x) =  5 x2 + 6 Describe the interval(s) on which the function is continuous. (Enter your answer…

A: Polynomial function are continuous every where so using this we solve this problem

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Q: 23. Express each of the following as a logarithm. Use a calculator to evaluate your answer correct…

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Q: If In a = 2, ln b = 3, and ln c = 5, evaluate the following: a² b²c4 (a) In = (b) In √a²b²c4 =

A: To evaluate the given expression.

Q: Find the composite functions (f. g) and (gf). What is the domain of each composite function?…

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Q: We have found the following Wronskians. W = −e-³x; W₁ = −e-²x (4 + ex)-¹; W₂ = e¯x(4+ e*)-¹ Р We…

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

Q: Find a unit normal vector to the surface at the given point. [Hint: Normalize the gradient vector…

A: The given surface is zex^2-y^2-1=0 and point (6,6,1).

Q: How did you get 6?

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Q: 2. Given the function f(x, y)=3x²y + 2xy-y, a) find the value of the directional derivative of the…

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Q: 1 yy" + (y)² = yy' y(0) = 1, y'(0) =

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Q: Use Lagrange multipliers to find the minimum distance from the curve or surface to the indicated…

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Q: Which of the following graphs is the correct plot of y = 3 sin(x)? -4 3 2 1 -2 -5+ 5+ 1 2 3 4 O 6 3…

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Q: A math teacher won a lottery that pays $1,000 per month for the next 20 years. But, he prefers to…

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Q: Find y" in Exercises 71-78 1 X 71. y = 1 + 3

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Q: 2 Solve the following ODES by Inverse Operator method. 1.2 y - 2y +y = e sinx "LI X Xx Ans:…

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Q: Write an equation for the function graphed below -7 -6 -5 y = 4 110 123 ku 3 4 5 6 a

A: We can  formulate the equation of the function by using the vertical asymptote and the  intercepts.

Q: I = √x f(x, y) dy dx-

A: ∫01∫0xf(x,y)dydx

Q: 5) What is the horizontal asymptote of f(x)= a. y = 5 7 b. y = 2 2x-7 5x+3 c. y=-37 d. y = 5

A: The objective of the question is determine the horizontal asymptote of the given function and choose…

Q: Solve the following ODES by Undetermined Coeff 11 4X y - 16 y = 19,2 € + 60e, y(a) = Y(u). 4X -4X…

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Q: lim n→∞ - 17n + 11 11"

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