Find the domain and the range of the function. (Enter your answers using Interval notation.) h(x)=√x+8 domain range Submit Answer

Q: You go to the doctor and he gives you 14 milligrams of radioactive dye. After 12 minutes, 6.5…

A: Given ,  You go to the doctor and he gives you 14 milligrams of radioactive dye. After 12 minutes,…

Q: 10. rectangular box with a square base and open top must have a volume of 4 m³. Find the dimensions…

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Q: Find an equation for the graph above. M 3 2 1 -1 -2 h(w)

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Q: Use sigma notation to write the sum. 4 4 1 + 2 1 + 3 4 1 + 1 + + + ... + 4 1 + 19

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Q: Evaluate the definite integral: f (x · cos(2x)) dx. Enter the exact decimal value. A graph of y = x…

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Q: 1 Find the partial derivatives with respect to x for the function f(x,y) f = O O 9y³ x-y 9y3 (x-y)2…

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Q: a b = A = B Note: Triangle may not be drawn to scale. Suppose a = 6 and c = 7. Find: B = b O A O

A: Solution: Given:  a=6,    and c = 7 Using Pythagorean theorem

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 the centroid of the region bounded by the graphs of the functions y = 3x², y = x² + 4 The…

A: Centroid Of the Region :           x¯ = 1A∫x=ax=b xf(x)-g(x) dx  and   y¯ = 1A∫x=ax=b 12fx2-gx2 dx…

Q: The holes cut in a roof for vent pipes require elliptical templates. A formula for determining the…

A: We need to find length and width.

Q: Use the properties of the derivative to find the following. r(t) = ti + 5tj + t²k, u(t) = 4ti + t²j…

A: This question is based on dot product of two vector. (a i + b j).(c i + d j) = ac + bd

Q: 1 For the parametric curve * = find an equation for the tangent line to the curve at the point…

A: To find equation of tangent line:

Q: Answer without referring back to the text. Fill in the blank. The only solution of the initial-value…

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Q: 7. dx S- X-3√x²

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: lim X+0 2-√ 4-X² x ²

A: We can find the answer by finding the limit as below.

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: Use the substitution t = -x to solve the given initial-value problem on the interval (-∞o, 0) x²y" -…

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Q: Find the derivative of y with respect to x. 1 y=x' In (x)---x obra d we do O A. 7x5-x² OB. 8x5-x2…

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Q: Find the critical numbers for h(x)=x^2-x^4. Show all work.

A: The objective of the question is determine all the critical point of the given function.

Q: 10. 2ste tds +(s²e-t - t)dt = 0

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Q: Find the gradient of the function at the given poin In(x² - y) -2, (3,8) X Vz(3, 8) = Z =

A: We are asked to find the gradient of the function.

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: Select the correct answer. y = 6x4 - 8x² + 5x 4 y = 5x² - 6x² + 8x + 3 y = 6x²³ - 8x² +5 Oy=x²-8x²³…

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Q: Verify the identity. 1 - cos(a) sin(a) 1 - cos(a) sin(a) sin(a) 1 + cos(a) 1- cos(a) sin(a) 1 1 +…

A: Given,…

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

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Q: the function, do the following. f(x) = 2x  from  a = 3  to  b = 4   (a) Approximate the area under…

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Q: The integrating factor of the given DE are already given below. What is the value of “n” y2dx…

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Q: Find an angle coterminal to  25π/3 that is between 0 and 2π

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Q: Write an expression in factored form for the polynomial of least possible degree graphed below. 3- W…

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Q: 2. The function ƒ(x) = x² − 4 is transformed to g(x) =— (x² − 4). Compare the domain, range,…

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Q: 3 Solve the following ODES by Inverse Operator method 2 • (B³² +1) y = cos x 11

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Q: Vf(1, 3) =

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Q: What is the domain of the reciprocal function of f(x) = 5x+1? {x € R\x2} c. b. (x=Rxs-) a. d. {x =R…

A: We can answer the question as below.

Q: akes the following function continuous on (-∞, ∞).

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Q: . Find the open interval(s) on which the function is increasing and decreasing.

A: Given :f(x)=9x3-11x

Q: Four partners are dividing a piece of land worth $159,200 among themselves using the lone-divider…

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Q: Given the exponential growth function f(x) = 83(1.0275) What is the initial value of the function?…

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Q: 3 g-¹(x) = = (Write your inverse function in terms of the independent variable x.) Find the inverse…

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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: The number of traffic accidents per year in a city of population p is predicted to be T 0.002p ³/2.…

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Q: (a) Find an equation of the tangent plane to the surface at the given point. x+y+z= 12, (5, 5, 2)…

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Q: 2) Evaluate √3|x + + 1| dx

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Q: State the range of f(x)= {v=Ry>} b. ve Rly - } 3 a. 1 3x+4 C. {v=Ry>0} d. {ve Rly 0}

A: We can find the range as below.

Q: 1. Evaluate the double integral r²y dA, where D is the region enclosed by the x-axis and the…

A: We can evaluate the double integral.

Q: Use the limit definition of the derivative to calculate the derivative of f f'(x) = f(x)=-3x³ - 2x +…

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Q: Find a homogeneous linear differential equation with constant coefficients whose general solution is…

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Q: Find the Laplace Transform of f(t) = te cos(3t) (A) B D s+1 s² (s+ 1)² +9s² = ((5+1) ²+9) S s²…

A: This question is related to Laplace transform, we will solve it using given information.

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

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Q: Find the limit as k approaches infinity for k ^(1/k)

A: Topic:- calculus

Q: If r(x) = -cos (x + 9) +7, determine the antiderivative of r(x). (Do not include the constant C'in…

A: In this question, we want to find the antiderivative of the given function r(x).