h (æ) = = 23 2 4x² 3 + 2 r

Q: Which integral represents the volume of the solid obtained by rotating the region bounded by the…

A: Given that the region bounded by the curves To find:-The integral that represents the volume of the…

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. (Round all answers…

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Q: expression

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Q: Sketch a graph that possesses the characteristics listed below. f is increasing and concave up on…

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Q: 17. x -2 h(x) 12 -1 0 1 15 16 15 2 12

A: Since you have asked multiple questions in a single request so we will be answering only first…

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Q: Given that [*6x√x² + 9 dx - 20√/10 - 54, what is 6u√² + 9 du

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Q: 13. g(t) = 215(0.95) 14. h(x) = 7(1.025)

A: The given functions are 13. 14.

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Q: Find the volume of the largest circular cylinder that can be cut from a circular cone of radius 6 cm…

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Q: L'o 14 -3 -2 5 4 3 N -2 -3 16 1/2 3 4 5 The function graphed above is: Increasing on the interval(s)…

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Q: Find the gradient of the function at the given point. w = x tan(y + z), (6, 8, -2) Vw(6, 8, -2) =

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Q: State the domain, vertical asymptote, and end behavior of the function. Enter the domain in interval…

A: In this question, we will find the domain, vertical asymptote and end behaviour.

Q: Let y be defined implicitly by the equation dy Use implicit differentiation to evaluate at the point…

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Q: Determine whether the statement is true or false. If it is true, explain why it is true. If it is…

A: The given  is defined at , then  must also be defined at .The aim is to determine whether the…

Q: Evaluate the following limit using L'Hospital's rule. lim (x+7) In ((x+7)²) x→−7+ Provide your…

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Q: Simplify the expression to a + bi form: (8 + 3i)(4 + 4i)

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Q: Find the roots of (5 +3i)1/2   in polar (r< θ) and rectangular forms using de Moivre’s theorem.

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Q: Find an equation of the slant asymptote. Do not sketch the curve. x² + 2 x + 2 y = f(x)

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Q: Let ƒ (x) = (x − 3)² on the interval [2, 5] (a) Find the average value off on the given interval.…

A: Let  on the interval .(a) To find the average value of  on the given interval.(b) To find  such…

Q: The graph of f" is given in the figure below. (Click on the graph for a larger version.) Draw graphs…

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Q: For the function W= dw = - -8t ³ - 7t, express its differential, dw, as a function of t and at:

A: The function is given byTo determine: The expression of  as a function of  and .Formula Used :

Q: The figure shows how a function f(x) and its linear approximation (i.e., its tangent line) change…

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Q: Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum…

A: The function is given as,

Q: Consider the following. p(q) = 2q² + q +5 (a) Find the instantaneous rate of change of the function…

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Q: Find the derivative of the function f(x): Provide your answer below: f'(x) = = X 2 -4 T

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Q: If g(x)= ((x^2)-4)/(-x-3) and h(x)= g(x), evaluate (integral^-4 with an index of -5) h(x) dx Answer…

A: If  and h(x) = g(x), then we have to evaluate the integral

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A: The given polynomial equation is

Q: Suppose that $250 is invested in an account that earns 5% annual inter the amount money in the…

A: The formula for the simple interest is where R is the rate of interest T is the time in years.

Q: Find the gradient of the function at the given point. In(x² − y) – 7, (3,8) X Vz(3, 8) = Z

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Q: Solve the system using row operations. w= x= a N H 11 +4y +2z = 43 X -4y -3z = -49 2w -2x +17y +10z…

A: To solve the following system by using row operations.

Q: A corporation manufactures candles at two locations. The cost of producing x₁ units at location 1 is…

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Q: If 7 ['rix dx = f(x) dx = 12 and в'їх 6 f(x) dx = 3.3, find 6 frx f(x) dx.

A: If ∫17f(x)dx=12 and ∫67f(x)dx=3.3, find ∫16f(x)dx

Q: Problems 21-22, graph the function, label intercept(s), asymptotes, and analyze completely. 21. f(x)…

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Q: Evaluate the value of the function: ƒ(x) = √ax² + bx+c when a 8 b=2 c=3 and x = 4 Give your answer…

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Q: Solve algebraically for all values of x: 4x² - 7x³ - 20x² +35x = 0 3

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Q: Give the angle in degrees that equals 1.8 radians. Give your answer to one decinal place.

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Q: Determine if the series converges or diverges. Use any method, and give a reason for your answer.…

A: To determine whether the following series converges or diverges.

Q: Evaluate CD dx where C = x and D = e-4. Which integral techniques did you use? Please explain.

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Q: Convert the point from spherical coordinates to rectangular coordinates. 4 (6,7) ₁ ²) = (L (x, y,…

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Q: 29. In an attempt to clean up your room, you have purchased a new floating shelf to put some of your…

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Q: Solve the following equation for x : C=-10. (Ax + B)² = C, where A=2, B=6 and

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Q: lim sin X-E TX-4x+1 2x² +5

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Q: If: y = ax² + bx² + cx+d dy dx find the value of for a= 5, b = 9, c = 7, d= 6, x = 4.2 Give your…

A: Given that  then we have to find the value of  for a=5, b=9, c=7, d=6, and x=4.2.Formula Used:…

Q: ∞ (d) Ene-n? n=1

A: We have to determine whether the series converges or diverges.…

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Q: The speed of a car at time t, 5 ≤ 1 ≤ 10, is given by f(t)= 2(t-10)². The Mean Value Theorem…

A: The speed of a car at time  is given by  The mean value theorem gaurentees that there will be a…

Q: 10+ 8 6 4 2 -6 -5 -4 -3 -2 -1 -2 -4 -6- -8- -10 1 2 3 4 5 The function graphed above is: Concave up…

A: We solve the given problem by using the second derivative

Q: When does the function ()-x(x-1)" have a local minimum? a) (0, 0) O b) (1, 1) c) (-1,0) d) (1, 0)

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