Find the domain of each function. (Enter your answers in interval notation.) (a) g(t) = sin(e-t) (b) g(t) = √1- - 6t

Q: (a) lim f(x) (b) lim f(x) x-2+ (c) lim f(x) x-2 (d) f(2) (e) lim f(x) X-4 (F) (4) Need Help? Read It…

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Q: 1. Solve the Differential Equations. (3x² - 2y²) y' = 2xy

A: Ode

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Q: Solve the Differential Equations. 4. f(x,y) x² + 3xy x-2y

A: Let's find function homogeneity.

Q: Determine which is the pure time differential equation, which is the autonomous differential and…

A: Given equations:  dfdt=e-t2                 ............................(1) y'=3y+y2…

Q: Q6. Let O(0,0), A(1,0), B(1,4) be points in the plane R². Then the following point lies in the…

A: I am attaching image so that you understand each and every step.

Q: Question Define as the region bounded by the functions u(y) = 2 and v(y) around the y-axis, what is…

A: Here we have to find the volume of a region when revolved about y axis.

Q: 4. Consider the function g(x) = 29 5x a. What is the domain of g? How do you know? b. Let a be a…

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Q: 1. The point P(2, −1) lies on the curve y = 1/(1 − x). (a) If Q is the point (x, 1/(1 − x)), use…

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Q: Parameterize the line through P = (–2, 2) and Q = (5, 6) so that the points P and the parameter…

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Q: 6. Write the following power functions in the form f(x) = kx² a. f(x) = -³/3 x3 b. f(x) = ³² c.…

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Q: Find the vector parametric equations for the line. in the direction of the vector 57-5-k and through…

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Q: Find the length of the curve x = 5-t, for 1 < t < 2. y = 3-t, z = 3t - 5,

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Q: lim x→2 f(x), where f(x) =    10  −  2x    if x < 2 x2  −  x    if x ≥ 2

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Q: A company produces a special new type of TV. The company has fixed costs of $497,000, and it costs…

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Q: Find an equation of the line that satisfies the given condition. (Let x be the independent variable…

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Q: Question Define R as the region bounded by the functions f(x) = 2x and g(x) = 1 between x = 1 and 2…

A: Here, the region R is bounded by the functions f(x)=2x, g(x)=1 between x=1, x=2. So, the region is:

Q: 3 Use the Squeeze Theorem to evaluate lim f(x), where f(x)=x²cos (-). x A B C D - 0 0 1 8 -0-x

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Q: Find the y-intercepts of the graph of (x−3)^2+(y+6)^2=100

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Q: y = Clx+ C2e

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Q: Prove or disprove the following: For any integer x, if x + 5 is even, then x + 1 is even.

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Q: Use the Intermediate Value Theorem to show that the following equation has at least one nonzero…

A: Given That,  Sec(2x)= 3^x

Q: answer

A: As per policy only first question is answered. Please refer to the image below

Q: Use one or more logarithm identities to show that In (2) In(x) for any > Use one or more logarithm…

A: we have to do as per the question.

Q: Solve the differential equations 1. (3x²2y²)y' = 2xy 2. (y² - xy)dx + x²dy = 0

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Q: a = 3i - 2j + 5k and b = -2i-j+k, find 2a-3b and also its unit vector.

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Q: 3. Sketch the graph of the function y = f(x)=√4-x². Find the domain and f(x) of the function

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Q: Find dy/dx for the following functions:- u² (4) y=²+1 , u = 3x² - 2 (3) 4x² + 3xy - xy² = 0

A: We can find the answers in the below steps

Q: The demand for a new computer game can be modeled by p(x) = 46.5-6 In x, for 0≤x≤ 800, where p(x) is…

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Q: 2. Solve the Differential Equations. (y² - xy )dx + x² dy HO

A: To solve the given differential equation.

Q: - Solve the quadratic equation using appropriate method. x² - 81 = 0 2. x² +5x +6=0 3. 2x2 4x+3=0

A: Here we have to solve the quadratic equation.

Q: A. by extracting square roots. 1. x2 = 169 2. 9b2 = 25 3. (3y - 1)2 = 0

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Q: Change these fractions into decimals. Express each answer to three significant figures. Be sure to…

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Q: Show the complete solutions. Family of horizontal parabolas whose h to k ratio is 2 Ans: 2xy" - 4yy"…

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Q: 2. What is the average rate of change from x = 4 to 9 of f(x) = 200e-03x

A: We need to find average rate of change.

Q: 8. At CheapCo Convenience Stores, employees receive an increase in their hourly wage each year. A…

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Q: if x ≤ 9 - {800 6x + b if x > 9 If f(x) is a function which is continuous everywhere, the Let f(x)…

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Q: Write the interval of continuity for the function below: sin(x)√/25 - x2 x-6 f(x) =

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Q: Solve the following integrals:- (2) S dx (1) Sx3-2x² dx x²√√9-x²

A: As per bartleby guidelines we only give first question answers.  Please repost for other parts.

Q: Let f(x) = = Jmx - - 6 X x² + 10x - 2 if x < - 4 if x ≥ 4 If f(x) is a function which is continuous…

A: Find the value of m

Q: Evaluate the doubl Treat as

A: First we integrate with respect to x

Q: 1. Use limits to find the derivative of the following function at the point a = -1. 1 2x + 1 f(x)= =…

A: We have to find derivative

Q: fcos (x) sin(x) dx -(sin²(x)) + C (sin² (2x)) + C A. B. C. - (sin² (2x)) + C 2 D. (sin²(x)) + C 2

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Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) lim 7 cot(x) X-R

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Q: 1. Eliminate the arbitrary constant. y² = 4C (x + C) 2. Obtain the general solution. (Let 2C=C) (4x…

A: As per policy only first question is answered. Please refer to the image below

Q: A teacher is grading a test. A student got 43 out 58 points. Part A: Should the teacher estimate or…

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Q: Find the length of the curve x = 5-t, for 1 < t < 2. length = y = 3-t, z = 3t 5,

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Q: A differential equation is an equation A that contains a derivative like y'(x) as well as the…

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Q: -1 Using Doolittles method for the following matrix A = 0 L-2 L- matrix and U - matrix. 2 11 86 0 51…

A: Given, A=-121086-205

Q: 3. If the derivatives of h with respect to U; for h=²u

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