Find the domain and range of the function. Use interval notation to write your result. f(x) = sqaure root 4x-5

Q: Find the arclength of y = 2x – 5 on 0 < x < 4

A: Topic:-  derivatives

Q: Equation Find Given dy dx 3. y = (a) when x = 4 %3D dt dt dx dy (b) when x = 25 = 2 dt %3D dt

A: Solution: y=x 

Q: Q3 Given the following non-homogeneous system of first-order linear differential equation: yi' = 5y,...

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Q: Bray?) da (y ) (x+zy+3)da - (2x-4+1)dy =0

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Q: 7. Consider the region above the r-axis and below y = e-² with x > 1, shown below. 4 Consider a wiza...

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Q: Use the Chain Rule to evaluate the partial derivative at the point (u, v) = (0,5), where g(x, y) = x...

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Q: Given the following non-homogeneous system of first-order linear differential equation: v = 5 y, + 3...

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Q: Find the equation of the line tangent to the graph of f(x) = (In x)4 at x = 5. (Type your answer in ...

A: Given that: f(x)=(lnx)4

Q: The slope of curve is given as (2x + b +) and has a value of 2x3. 17 at x = 2. What is the value 16 ...

A: as per question  We have determine slope of curve   

Q: Find a) the greatest common divisor (GCD) and b) the least common multiple (LCM). 50 and 120 a) The ...

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Q: 18( cos54 + isin54°) 3(cos102" + isin102" )

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Q: (2xy-tany)dx + (x² – xsec*y)dy = 0; y(1) = *

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Q: 1. A missile fired ground level rises x meters vertically upwards in t seconds and x = 50t – 6.2512....

A: As per guidelines we can solve only three subparts at a time, so the first three subparts of the que...

Q: Given an ordinary differential equation in the form: (xy + y² + y)dx – (x + 2y)dy = 0 (Eq. Test the ...

A: According to question,Given Differential equation,xy + y2 + y dx - x + 2y dy = 0

Q: Which of the following statement/s is/are true about the function whose graph is shown below? A. lim...

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Q: Written Work Directions: Please write your solution on the space provided and boxed your final answe...

A: limit

Q: Evaluate the expression using the order of operations. (22 - 9+ 3) - (42+3•5) (22 -9 + 3) - (42 +3•5...

A: We know that BODMASThat is Bracket-Division-Multiplication-Addition-Subtraction.Given (22-9÷3)-(42÷3...

Q: Given a function f (x) whose graph is shown below. (6,5), (1,4) (-4,2), 2 (6,2) -6 -4 -2 2 4 -2마 9(1...

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Q: Compute fx, fy: f (x, y) = arctan(xy)

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Q: For f (x) = Vx – 3 +1 Find the derivative function of f' Evaluate the derivative at x = 4 Find the e...

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Q: Since the start of the year, the price of gasoline has been decreasing at the cost of 5 cents per ga...

A: We  have given that the start of the year, the price of gasoline has been decreasing at the cost of ...

Q: M(x,y) dx + (xe*y – 4xy + 2) dy = 0

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Q: 1. find the area enclosed by the x-axis and the curve y= -x^2+9

A: The region enclosed by the x-axis and the curve y=-x2+9

Q: Write an equation for a cost function where the fixed costs are $2300 and the variable costs are $20...

A: Given data: Fixed cost= F= $2300 Variable cost=V= $20

Q: 9. An object is shot upwards from ground level with an initial velocity of 3 meters per second; it i...

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Q: y = (x' - 2x2 +3) (7x² – 4x)

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Q: Using the fact that the centroid of a triangle lies at the intersection of the triangle's medians, w...

A: We can find the centroid as below using the required formula.

Q: 1. A missile fired ground level rises x meters vertically upwards in t seconds and x = 50t – 6.2512....

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Q: Continuity of Functions on an Interval Determine if the given function is continuous on each of the ...

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

A: Given: y=x+1, y=0, x=0, x=7

Q: Q4 (a) By using properties of Laplace Transform, find (i) The Laplace Transform of f (t) = 2e-3! sin...

A: we use shifting property of laplace transform 

Q: Solve the given differential equations FODE.  Solve each and show complete solution.    (3x – y – ...

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Q: Question 7 This is a cuboid. Which of the following is not a net of a cuboid? B

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Q: 5х —7 (х — 3)°

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Q: g(z) = 3z' – sin(z +6)

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Q: 3x 3x 16 cos + isin 4. 4. Sa 5x 34 cos + isin 3 3

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Q: The rate of change in the profit (P) with respect to the number of units sold (x) is 0.0006x² + 10. ...

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Q: 6 3x° sin Evaluate: lim

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Q: A town has the population 9000 people at year t=0. write a formula a. The population shrinks by ...

A: A town has the population 9000 people at year t=0. write a formula  let a=9000, t=0, Let t1 is the p...

Q: Find the number(s) b such that the average value of f(x) = 6x² – 26x + 32 on the interval [0, b] is ...

A: We have to find the value of b such that the average values of f(x)=6x2-26x+32 on the interval [0, b...

Q: 55-68, evaluate the sine, cosine, and tar of the angle without using a calculator. 58. 675° 2n 64. 3

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Q: (a)Odd degree polynomial functions have opposite________ .  (b) When we multiply two functions toge...

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost others part as...

Q: 16x2 - 25 -da Evaluate the integral: 23 (A) Which trig substitution is correct for this integral? O ...

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Q: a. Suppose f(x) = 17x* + 16x² + 6x – 13. Determine the degree of f. Preview b. Suppose g(x) = 7x³ De...

A: Topic = Polynomial   To find the degree of the polynomial, add up the exponents of each term and sel...

Q: Complete the table to 5 decimal places and use the result to estimate the given limit to 4 decimal p...

A: topic - limits

Q: Use the limit definition to compute the derivative of the function f(x) = 5x- at x = 3. (Use symboli...

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Q: evaluate the trigonometric function of the quadrantal angle, if possible. 38. csc

A: Given,            csc3π2

Q: 2. Find the cartesian equation of the following: а. r = 3-sin e b. r? cos(20) = 4 9. r2 C. 4 sin(26)

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Q: Draw the graph of g(z) Make sure to start at one of the endpoints, not the middle point. After finis...

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Q: An object is shot upwards from ground level with an initial velocity of 3 meters per second; it is s...

A: Follow the procedure given below.