Convert the Cartesian coordinate (-2,-5) to polar coordinates, 0 ≤ 0 < 2π r = Enter exact value. 0 =

Q: 3. Consider the function y = f(x) whose curve is given by the equation 2y² - 6 = y sin x for y > 0.…

A: Note:-As per your demand we solve part d for you Given derivative and point when is

Q: The function f(x)=x^3 - 3x^2 - 9x D. Where is the function f(x) concave up or down? E. What are…

A: The given function is

Q: A = C = 4 6 1 3 2 3 1 0 0 2 B D 2 5 3 7 10 20 30 20 10 0

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Q: Evaluate the integral: 16 √ 2² √² + 64 0x = (A) Which trig substitution is correct for this…

A: We have to evaluate the integral using trigonometric substitution.

Q: A bacteria is known to increase a rate proportional to the amount present. After 2hours 1500 strands…

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Q: A tall pipe is 30 feet tall. A person with a height of 6 feet walks away from the pipe along a…

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Q: Find the absolute maximum and the absolute minimum for the function x² x + 1 f(x)= x = Absolute…

A: The given function is; f(x)=x2/(x+1) , [-2.5,-1.9]

Q: Suppose Find the product AB. AB= Find the product BA. BA= -9 - [3] and 9 A = and B = help (matrices)…

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Q: The cost for producing a thousand widgets is given by C(x) = 0.06x4 - 2x³ + 14x² + 400x, 0 ≤ x ≤ 60.…

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Q: For the following exercises, use the Mean Value Theorem and find all points 0 < c < 2 such that ƒ(2)…

A: The given function is,Take derivative.Substitute x=c

Q: he table gives the values of a function obtained from an experiment. Use them to estimate f(x) dx…

A: Consider the given table in the question.Given that n = 3&amp;#x25B3;x=b-an"…

Q: e area of the blue region. It is the area under the curve. y 10 8 6 4 2 y = 3x+1 y = 6-x X 1 2 3 4 5…

A: The graph of the function is given.The aim is to find the area of the blue region.

Q: ind the surface area of the portion of the bowl z=9+x^2+y^2 that lies below the plane z = 13.

A: The formula to find surface area of 3D region is

Q: Evaluate 7x 11 √(x - - − 1)(x – 3) - - - dx

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Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms…

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Q: The marginal revenue (in thousands of dollars) from the sale of x handheld gaming devices is given…

A: The marginal revenue (in thousands of dollars) from the sale of x handheld gaming devices is given…

Q: Consider the functions f(x) = 6 arcsin (6x) g(r)= 12arctan (a) Find the derivatives of f(x) and…

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Q: 2. The behavior of the system is a saddle. y' = -x + y, = -x-y

A: Given system is x' = -x +yy' = -x -y

Q: Find the unit tangent vector T and the curvature x for the following parameterized curve. r(t) =…

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Q: A projectile is launched straight into the air with initial velocity vo = 92 ft/sec. This tells us…

A: Given a velocity function v(t) The total distance travelled in the interval [a,b] is given by.

Q: Find the interval I and radius of convergence R for the given power series. (Enter your answer for…

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Q: Consider the region below f(x) = (6-x), above the x-axis, and between x = 0 and x = 6. Let x; be the…

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Q: Solve the initial value problem 8y" - 2y' - y = 0, subject to y(0) = -0.2, y'(0) = -0.325.

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Q: 9. Let f(x) = sinx, g(x) = cos x. The functions f and g, considered on the interval 0, π], are…

A: Given that the function are

Q: Solve the following initial value problem. dr dy = x3 / x5, y(0) = 0 y =ㅁ

A: To solve the following initial value problem.

Q: Find the derivative of the function. y = ³√x²-x² 一 y' =

A: The given function is; y= x7/8

Q: 19. Use Newton's Method to estimate the one real root of f(x)=x²+2x-2. Start with x = 1, and perform…

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Q: 2. True or False: If the parametric curve x = a(t), y = b(t) satisfies d'(5) = 0 and b' (5) = 1 then…

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Q: Find the second derivative of the following functions: a. f(x) = x5 + sin x b. f(x) = x² + == x c.…

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Q: g. y = tan x h. y = t+√√2t+√1-5t

A: To find the derivative of the following functions.

Q: Consider the following. f(x) = 48x − 4x2 Find  f '(x). f '(x) =        Find the critical…

A: The objective of this question is to find the derivative of the function f(x) = 48x - 4x^2 and then…

Q: Find a power series representation for the function. f(y)=In f(x)= In[11+y)

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Q: (a) The graph in the figure given below is made of line segments joined end to end. At which points…

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Q: Evaluate the indefinite integral as a power series. fin(1+x²) dx

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Q: Given the geometric sequence: 20 3 find a formula for the n-th term: ao = 2, a₁ a1 = , a2 = 200 9…

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Q: Suppose that we're making and selling some widget and the revenue (in dollars) when making a widgets…

A: The objective of this question is to find the average revenue, marginal average revenue functions,…

Q: Find parametric equations for the following curve. Include an interval for the parameter. The left…

A: We have to use the concept of parametric equation

Q: 3/4 Find the cost function if the marginal cost function is given by C'(x) = x C(x) = +5 and 16…

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Q: Find all exact solutions on the interval 0 < x < 360°. If there is more than one answer, enter them…

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Q: If the velocity of a car is given by v(t) = 90 for all time t ≥ 0, then the position of the car for…

A: The velocity of a car is  for all .The aim is to find the position of the car.

Q: 7. Determine critical points for each of the following functions. 2 d. y = x² 32√x e. y = x³ + 3x² -…

A: To determine the critical points for each of the following functions.

Q: What are the radius and the coordinates of the center of the circle with equation x2 +(y-2)2=30

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Q: Suppose we have a triangle with A 40°, B= 60° and c = 4. Then a =

A: Sum of interior angles of a triangle is 180 degrees

Q: Find the time of flight, range, and maximum height of the following two-dimensional trajectory,…

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Q: Consider the following integral. √1 + 7x dx Find a substitution to rewrite the integrand as du. u¹/3…

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Q: 4-Z 4-z-2y k √ ₁² √²-²² ² -² -²y xyz²dx dy dz = 1 2 0 0 0

A: To solve for unknown.

Q: Find for y=cos ²(9xt-8). dy dt dy dt

A: )   Is givenWe want to find the derivative

Q: Evaluate the following limits algebraically. 2. lim x---> 2^-      (x+4) / (x^2 + 2x - 8) 4. lim…

A: To evaluate the following limits.

Q: Evaluate the integral: 0 x = (A) Which trig substitution is correct for this integral? Ox= 16 sin(0)…

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Q: 1 se sec4 x tan x dx

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