Find the equation of the circle with center at (4. -1) and passing through the point (2. -2).

Q: In R?, using vectors and angle between vectors, verify that the points P (13, –1 Q(-9,3) and R (-3,…

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Q: Integrals. Given that -1 5 | f(x) dx = -1 and -5 f(x) dx = -4, f(x) dx = 8 -5 5 what is 2F(x) dx? O…

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Q: Given f(x) = 9x2 4x + 11, find f'(x) using the limit definition of the derivative.

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Q: Use implicit differentiation to find the specified derivative at the given point. Find dx dy at the…

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Q: Find the values of x for which the function is continuous. f(x) 5x2 + 7 7 all x, х # 5 7 O all x, x…

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Q: Business Decisions Sharon, the owner of the Brentwood Motel, is planning to renovate all the rooms…

A: Plan -A: f(t)=3090000e0.03t⇒f(5)=3090000e0.03(5)⇒f(5)≈3590068

Q: 7 on the interval [1,4], find a point c between 1 and 4 so that it satisfies the Mean 2x Given the…

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Q: Question For the function given below, which statements concerning Rolle's theorem are true? f(x) =…

A: f(x)=x3-16x+2    ;  [0,4]

Q: Differentiate the function f(x) = x^1/3 f'(x)=

A: Given query is to find the derivative of the expression.

Q: Implicit Differentiation. The demand equation for a certain brand of two-way headphones is 3x³-8xy +…

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Q: Use the formula k(t) ||r'(t) × r"(t)|| to find k(t). ||r(t)| r(t) = 11 cos(t)i+ 11 sin(t)j + 6tk

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Q: Given the graph of the function below. Find the limit of the function as x approaches 5. * (3, 4)…

A: From the given graph, we have to find the limit at x=5

Q: 37 Comvert the point (r, 6, 2) = (2, ,1) to Cartesian coordinates. Give answers either as…

A: Given, (r,theta,z)= (2, 3pi/4,1)

Q: Use the shell method to set up and evaluate the integral that gives the volume of the solid…

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Q: Question 57 Find the coordinates of the point on the unit circle at an angle of . Give your answer…

A: r=1  (unit circle)θ=5π3x=r cosθx=cosθy=r sinθy=sinθ

Q: Inspect the graph of the function to determine whether it is increasing or decreasing on the given…

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Q: 16. SHOW ALL WORK Given the two complex numbers in trigonometric form, perform the indicated…

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Q: Differentiate the function f(x) = 5x^4 - 10x^1/4  f'(x)

A: We can differentiate the function as below.

Q: Find the general solution of the differential equation. (Use C for the constant of integration.) dy…

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Q: Evaluate y+z) ds along the curve r(t) = 2ti + tj + (4 – 2t)k, 0sts1.

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Q: 3x2 — 9х + 11 2х + 4

A: Given query is to find the derivative.

Q: Match the following series with the series below in which you can compare using the Limit Comparison…

A: There are more than 3 sub-questions, as per the Q&A guidelines I am answering the 1st 3…

Q: Let F = sin (2x + 4z) i – 8ye** k. Calculate div(F) and curl(F). (Express numbers in exact form. Use…

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Q: Consider the following equation and point. f(x) = a (3, -1) x - 4 Find an equation of the tangent…

A: First we have to calculate slope of the given function to calculate equation of tangent

Q: Cost Function. Suppose the cost to manufacture a product is given by f(x,y) = x²+Vỹ The domain of…

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Q: Given the following differential equation y' - 3y = 0 Plug in the appropriate power series for "y"…

A: Use power series  for finding the correct option

Q: Find the derivative of the function. y = x2 In x2

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Q: ||F(t) × r"(})| ||r(t)||° Use the formula k(t) = to find k(t). r(t) = 11 cos(t)i+11 sin(t)j + 6tk

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Q: Find the derivative of the function. 6x - 7x2 + 4 f(x • x³ - 3 f'(x)

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Q: onding to the given vector equation. r(t) = (P -1)j+ 3tk, -1sts1

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Q: Given the following differential equation y" - x?y = 0 After plugging in the appropriate power…

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Q: Evaluate the integral by first modifying the form of the integrand and then making an appropriate…

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Q: Aldo deposits $60,000 into an account that pays simple interest at a rate of 2% per year. Melissa…

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Q: Calculate div(F) and curl(F). F = (y, 8z, x) (Give an exact answer. Use symbolic notation and…

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Q: Find the solution of the initial value problem y" + y = 8(t - 2), y (0) = 1, y' (0) = 2.

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Q: Composition. Suppose we want to find the composition of a function with itself. Let g(x) = -3(x+5)2…

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Q: Please help me make three or more (3+) pick-up lines/puns regarding the limit of a function. I need…

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Q: 4x2 + 4x 7 If y = find: 6 5x dy %D da

A: Consider  y=4x2+4x-76-5x

Q: Differentiate the function y = 2 ln (cos(x)).  dy/dx =

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Q: 6. Rewrite the following as a single trigonometric function: sin? x COS x + COS x (Hint: Use the…

A: Topic = Trigonometry

Q: Suppose a person travels at a rate of 3 ft/hr toward the foot of a street lamp pole 64 ft high. The…

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Q: (24a²x + 8ay?)i + (82³ – 2ay)j – (2z + 8x² + 8y?)k. (a) Find the value(s) of a making div F = 0 a =…

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Q: An object moves in a straight light according to the position function s(t) = 2tet where s is in…

A: Explanation of the answer is as follows

Q: dy 3) Determine the of : In (ху?) %3D х у dx

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Q: Find f (x) if f'(x) = and f(1) = 25. O f(x)= 16x + 25 O f(x) = 16x +1 O f(x) = 16xl +9 O f(x) = 16x…

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Q: Integrals. Given that -1 5 f(x) dx -5 f(x) dx = -3, = -1 and f(x) dx : = 5 what is 2f(x) dx? O-3 O…

A: First split the integral of f(x) over limit -5 to 5 and find its value and again split the integral…

Q: 1. Solve the following quadratic equation by completing the square: x2 – 6x +4 = 0

A: We are authorized to answer one question at a time , since you have not mentioned which question you…

Q: marginal cost of a product is modeled by dx/dx = 14/ (14x + 9)^1/3 where x is the number of units.…

A: Given query is to find the cost function.

Q: Given the function: f(x) = 47' - 8z 9x' + 8x2 + 8x - 4

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 19e" dx 1+…

A: Please see the answer below.