The rectangular coordinates of a point are given. Plot the point. (-2√/2,-2√2) 2 4 X -4 -2 4 X

Q: Evaluate the following limit. Use l'Hôpital's Rule when it is convenient and applicable. lim (15 tan…

A: y=limθ→π2−(15tan⁡θ)15cos⁡θ

Q: (A) 8 9 10. The graph of a function f is shown above. If g is the function defined by g(x) = f(x) of…

A: We use the Quotient rule  to find the derivative.

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Q: ruggling is normal and part of the process of learning.  Describe an instance, so far in this…

A: ruggling is normal and part of the process of learning.  Describe an instance, so far in this…

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Q: Use the Generalized Power Rule to find the derivative of the function. f(x) = [(x6 + 5)7 + x]7

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Q: Find the derivative a. f(x)= square root of ((2x+5/7x-9)) b. [(x^2-1)^5-x]^3

A: We are supposed  to answer only one question  as given question  is not a sub part of the first…

Q: Pickachu claims that the following integral can be solved they correct? Explain. [ 2² e²³ da

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Q: 6. Graph the piece wise function. X+1 if X0

A: To draw the graph of the following piecewise function.

Q: Derivative Rules: 1. Power Rule: (2) = n -1 d dx Special Case of this: 4. Quotient Rule: 2.…

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Q: Complete the steps needed to find the arc length of the following function. 1 y = 2² +²e=²₁ 0≤ x ≤b…

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Q: A campground owner has 2400 m of fencing. He wants to enclose a rectangular field bordering a river,…

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Q: find the derivative of  a. f(x)=x/x^2+(square root of 3x)^5 b. f(x)= (x-1)^3/x(x+3)^4

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Q: Find the derivative of the function. Simplify where possible. y =cos'' (e²)

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

Q: 80 Consider the series Σ (19x)" n=0 (a) Find the series' radius and interval of convergence. (b) For…

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Q: S 1 In(7x) dx

A: I=∫1eln⁡(7x)dx

Q: 1. Power Rule: d dx Special Case of this: (x²) = nx" 4. Quotient Rule: n-1 U ( ² )' = d dx 2.…

A: C(x)= (5 x-2 )( 3 x2+ 4 x)We have to find marginal cost and for this we have to differentiate C(x)…

Q: Evaluate the limit sin 2x 6m lim 10

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Q: Suppose you are given a formula for a function f. (a) How do you determine where fis increasing or…

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Q: 2. e*. cosy dx + (1 + e*) siny.dy = 0

A: The given differential equation is

Q: Q3: Find x(t) = ?, for the following Differential Equation [*(t) + 4x(t) + 3x(t) = 9], where x(0) =…

A: The given DE is,The auxiliary equation is,For the two real roots, the complementary solution is…

Q: Find sin theta and cos theta, if tan theta = -3 and theta terminates in Q3.

A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

Q: 1 2n 4. Let an = 27-1-2 The convergence (or divergence) of the resulting series, Σn=1 an can be…

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Q: Use the Shell Method to find the volume of the solid generated by revolving the region bounded by…

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Q: A company finds that the rate at which the quantity of a product that consumers demand changes with…

A: Consider the given marginal-demand function,

Q: Consider the following. f(x, y) = 4x - 2y (a) Find f(4, 5) and f(4.1, 5.05) and calculate Az. f(4,…

A: Consider the function

Q: Find the cartesian coordinates (6, 4π/3) (-4, 3π/4) (-5,-π/3)

A: Find the cartesian coordinates (6, 4π/3)(-4, 3π/4)(-5,-π/3)

Q: Find and classify the critical points. 12 H(£,y)=re +y* – 12,

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Q: Find the absolute maximum and minimum values for the given function over the specified domain. f(x)…

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Q: 10 -9 he function f (x) -8 -7 -6 -5 5 4 3 92 -4 -3 -2 -1 1 -1 -2 -3- -4 -5+ 2 3 O 5 67 Determine the…

A: Infinite Discontinuity: A function has an infinite discontinuity at a point if the function…

Q: Change from rectangular to cylindrical coordinates. (Let r 2 0 and 0 ≤ 0 ≤ 2π.) (a) (8√3, 8, -7) (b)…

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Q: Find f'(x). f(x)=3e+4x- Inx f'(x) = [

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Q: (x+b, x≤1 16. f(x) = ax², x>1' Let f is the function given above. What are all the values of a and b…

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Q: Use substitution to find the Taylor series at x = 0 of the function 9 sin (-x). What is the general…

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Q: Consider the differential equation ay" + by' + cy = 0, with a, b, c ЄR and a 0. Given that the…

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Q: 4. Find bound on the error Trapezodol Rule Simpsons Rule S_₁x dx;n=10 X -1

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Q: Find the centroid of the region bounded by y = 3 sin x, y = 0, x = 0, and x = π. (Hint: Sketch the…

A: y = 3sinx,y=0 0xπ

Q: A manufacture has been selling 1550 television sets a week at $390 each. A market survey indicates…

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Q: Given the function ƒ, evaluate ƒ(−1), ƒ (0), ƒ (2), and ƒ (4). ƒ(−1) = Number f(x)= { x²-1 4+x-6| if…

A: The given function is

Q: If f(x) = ²x² √t+3 dt, what is f(x)? 0 Select one: a. 1 2x³ +3 b. √√x²+3 c. 3x²√√2x³+3 d. 6x²2x³+3…

A: ..........(i)Comparing this with We get,Put t=a=0Similarly, Put t=b =

Q: Two poles are connected by a wire that is also connected to the ground. The first pole is 19 ft tall…

A: The figure

Q: Which graph(s) is/are the graph of an exponential function? Plot1.pdf Plot2.pdf Plot3.pdf Plot4.pdf…

A: Plot 1 and plot 3 are exponential function graph

Q: The circumference C of a circle is a function of its radius given by C (r) = 2πr. a. Express the…

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Q: Recently, a certain bank offered a 5-year CD that earns 2.34% compounded continuously. Use the given…

A: Principle amount(P) = $40,000Time of investment (t) = 5 yearsRate of Interest (r) = 2.34%

Q: Find the derivative of y = ln(6x² – 7x). y =

A: To find the derivative of the following function.

Q: You are constructing an open top box for your cat to sleep in. The plush material for the square…

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Q: Find all relative extrema of the function f(x) = x^4 − 4x^2 + 2 by using the Second Derivative test…

A: Find the relative extrema of the function.

Q: Suppose R is the solid bounded by the plane z = 2x, the surface z = x², and the planes y = 0 and y =…

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