List the first five terms of the sequence {4.8. 12. ... (4n)} ♥

Q: Given the function below f(x)=√-18x³ +45 Find the equation of the tangent line to the graph of the…

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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: Calculate the first partial derivatives of f(x, y, z) = x²y²log(z) + zexty.

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Q: Find ƒ'(−1) if 4x( f(x))² + 4x³ƒ(x) = 0 and ƒ(−1) = −1. ƒ'(−1) =

A: we need to find out the f'(-1).

Q: Find the derivative of f (x) = ln x² sin x 2x+1

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Q: Obtain an exponential function in the form f(t) = Aert. f(t) is the value after t years of a…

A: f(t) = Aertf(t) is the value after t years of a $1,000 investment earning 18% interest compounded…

Q: 16. Graph the following between -180° & 360° cos[2(x + 135)] 5 y = 80

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Q: 27. If seven runners finish a race with no tie. How many ways can be the first, second, and third…

A: FInd the no of ways of  1st ,2nd and 3rd place.

Q: V 6² — (x − a)². b) Use a trigonometric substitution to evaluate the indefinite integral. s dx You…

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Q: Change the Cartesian integral into an equivalent polar integral. Then evaluate the polar integral.…

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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: Find the absolute maxima and absolute minima of the function f(x) Answer: The absolute maximum…

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

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Q: Question 9 3 Consider the function f(x) = 2x³ + 18x²96x +8, -9≤x≤3. -9 -8 -7% + -3 800 600 400 200…

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Q: Change the Cartesian integral 3 √9 - 3 0 dy dx into an equivalent polar integral. Then evaluate the…

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Q: Sand falls from a hopper at a rate of 0.5 cubic meters per hour and forms a conical pile beneath.…

A: Volume of a cone is given as Where r is the radius of cone h is the height of the cone

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

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Q: Simplify the expression completely. /−1 - 4√−125 + √64 +2√9

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Q: (7.1) Use the definition of the Laplace transform to find £{f(t)} for f(t) = cos(t).

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Q: •π/2 1 [™ ² + xy cos(x²y) dx dy

A: Evaluate the double integral.

Q: (226) A child wanders slowly down a graikaer staircase from the top of a tower with x, y, z in feet…

A: Given position equation

Q: Compute the mean, median, and mode of the data sample. (If every number of the set is a solution,…

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Q: Find the absolute maximum and minimum points of ƒ (x) = ln (4x² – 2x + 5) in the interval x = [0,2].…

A: Given that the function

Q: For the given function find the average rate of change over each specified interval f(x) = x² + x -…

A: The given function  is function is The average rate of change of function f(x) over the interval  is…

Q: Solve algebraically for all values of x: 3x5 - 3x = 0

A: Given that the equation we have to find solve the given equation

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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Q: Question 2 Using the "PIECEWISE" command, plot the given function and label all critical points. Be…

A: A point is said to be critical point if the derivative is zero or does not exist ie At that point…

Q: The number of visitors P to a website in a given week over a 1-year period is given by P(t) = 123 +…

A: According to the given data, we have

Q: A pet store has a large tank in the shape of an inverted right circular cone that they use to…

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Q: y rides a train along a straight north-south track. His position at timet in hour is s(t) = (–t¹ –…

A: We have to find the average velocity, instantaneous velocity.

Q: Use the given transformation to evaluate the integral. JS 2x² dA, where R is the region bounded by…

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Q: The growth of plants in a greenhouse depends on the intensity of the lighting (as controlled by an…

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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: Continuous Extensions * 35) Define 96) in a way that extends g(x) = (x=9))) (x-3) to be Continous at…

A: since you have posted multiple questions in this question which are not interlinked so i have solved…

Q: Jane Adele deposits $1,700 in an account at the beginning of each 3-month period for compounded…

A: Solution-The formula of annuity due is given by,

Q: Determine whether 1 n³/2 is convergent

A: given series  to find the convergence.

Q: Use a linear approximation to estimate √49.4. a. What is the ideal linear function for this…

A: The linear approximation formula

Q: b. Suppose that $250 is invested in an account that earns 5% annual interest. Find the amount money…

A: Given, the principal amount $250, rate of interest 5% and time 20 years.

Q: -1 15 (v₂E) khp,v) The first graph is the energy E of an electric car versus its terminal velocity…

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Q: 48) use formal definition of infinit Limit Lim I 4.3 x 70 [x] =X

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Q: The top of a ladder slides down a vertical wall at a rate of 0.375 m/s. At the moment when the…

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Q: Calculate the approximation to the volume of the solid obtained by rotating the graph around the…

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Q: what number exceeds its square by the maximum amount?

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Q: Use the limit definition to find the slope of the tangent line to the graph of f at the given point.…

A: Given the function we have to find the slope of the tangent line at the point (4,1)

Q: Find the indicated derivative. dy dx dy dx for y = 1 - 2x² x4 - 2x2 + 4

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Q: ܘ ܗܐ ܘܐ ܘ ܘܐ܆ 410 3444 +7 " 2 · 10

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Q: n {an} = {√n²+1 }

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Q: Consider the function f(x) = 3 - 3x², -4≤ x ≤ 1. The absolute maximum value is and this occurs at x…

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Q: Find the area of the region cut from the fourth quadrant by the cardioid r = 9 - 9sin 0. The area is…

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Q: Evaluate the limit. Use L'Hospital's Rule where appropriate. If there is a more elementary method,…

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