Find the area bounded by the given curve. r = 6 cos(30)

Q: The graph of y = f(x) is given below. -5 150 num -4 lim f(x) AI-1 -3 -2 5 4 3 2 -1 -1/ 1 2 4…

A: A graph of the function  is given.The aim is to find the given limits.

Q: Use the second degree Taylor polynomial for x at x = 8 to estimate 10. Round your answer to four…

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Q: 9x Find the limits in a), b), and c) below for the function f(x) = x-7 Use -∞o and ∞o when…

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Q: Find the lines that are tangent to the curve y=2tan(pi*x/2) at x=1

A: The equation of tangent line passes through point  with slope

Q: (a) Find the unit tangent vector on the curve r(t) = [cos (t),2t,3sin(4t)] when t = 0.

A: To find the unit tangent vector on the curve .Note: Since the student has posted multiple questions…

Q: (a) Find and sketch the domain of the function f(x,y)=√x+2+√√y+3

A: To find and to sketch the domain of the following function.Note: Since the student has posted…

Q: Consider the following situation. A company purchased computers for each employee and two all-in-…

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Q: 1) State the order of the given ordinary differential equation. Determine whether the equation is…

A: Order is the highest power of the derivative Degree is the power on the highest power of the…

Q: When a circular plate of metal is heated in an oven, its radius increases at a rate of 0.01 cm/min.…

A: Radius = 60cmdr/dt = 0.01 cm/min.

Q: (2x - y) + (2y - x)y' = 0, y(1) = 3

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Q: y = xer

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Q: Given s(t) = 5t+20, where s(t) is in miles and t is in hours, find each of the following. a) v(t) b)…

A: Given s(t) = 5t + 20, where s(t) is in miles and t is in hours, find each of the following.a) v(t)b)…

Q: Let g(x)-3x³-20x² Find the relative maximum and minimum values of g. Also find the intervals on…

A: The given function is

Q: 3. Given that w = xyz + y² + x + 1, x = et, y = 82, 2=t+1. ) Find Ow/as. (b) (c) Find 0w/Ot. Find…

A: Given that .(a) To find .(b) To find .(c) To find .Note: Since the student has posted many sub-parts…

Q: ·b f(b) − ƒ(a) = f'(a)(b − a) – ſå ƒ''(x)(x − b)dx a

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Q: 17 [²²; 1 The integral dx diverges. x (In x )1.5 If the integral converges, enter the value below.…

A: Substitute

Q: Write an equation for a line perpendicular to y y 4-4 and passing through the point (-8,7)

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Q: Baseball A (square) baseball diamond has sides that are 90 feet long (see figure). A player running…

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Q: For y = f(x) = 7x³, find f(x₁+Ax)-f(x₁) Ax f(x₁ +Ax) -f(x₁) Ax -, given x₁ = 5 and Ax= 3.

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Q: Evaluate the following integral, (9x - y²)dx + xy dy where C is given by x X = 5t, y = √t, 0 ≤ t s…

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 12 + 2x -…

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Q: Show that the function is increasing on the given open interval. (Enter your answers as a…

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Q: Find the solution of the following problem. y' - (x + y)(x + y +3) = 1

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Q: (b) Use the Fundamental x² :) = ( 4 – t) 1 F(x) = S(4 Chly appr Theorem of Calculus to calculate…

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Q: 7. Σ n=2W 3 2 n2 + I 00 8. Σ n?e=n n=1

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Q: X 3. Verify that f(x)=- satisfies the conditions of the Mean Value Theorem on the closed interval…

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Q: Find the square root of 7225 with the modern method

A: A number's square root is a value that, when multiplied by itself, returns the original number.

Q: 2. Isolatex. For answer, show this structure <x< -5 ≤ 2-x < 5

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Q: Evaluate the following integral, f (x - 5y) dx - 8y² dy where C' is given by x = y² + 6 from (7, 1)…

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Q: The indicated function y₁(x) is a solution of the associated homogeneous equation. Use the method of…

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Q: 2. by (No need to justify for full credits if your choice is correct.) A. B. C. Which of the…

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Q: Roberto has plans to build a tree house in his backyard. He takes measurements from the ground and…

A: Here,

Q: 10 P.M. an oil tanker traveling west in the ocean at 15 kilometers per hour passes the same spot as…

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Q: Suppose that in a certain biology lab experiment, the number of bacteria is related to the…

A: Suppose that in a certain biology lab experiment, the number of bacteria is related to the…

Q: Find the number c that satisfies the conclusion of the Mean Value Theorem on the given interval. (If…

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Q: Use Lagrange multipliers to find the minimum value of the function f(x, y) =x² + y² subject to the…

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Q: Use the alternative form of the derivative to find the derivative of the function f(x) = x³ + 8x, X…

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Q: (Order your answers so the x-coordinates are in order from least to greatest.) f has ---Select---…

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Q: Find f'(x) if f(x)=(5x-1)². f'(x) =

A: we need to find out the derivative of the given function.

Q: A projectile is fired with an initial speed of 240 m/s and angle of elevation 60°. The projectile is…

A: The initial speed of the projectile isAngle of projection, The initial vertical position, The…

Q: Form a polynomial f(x) with real coefficients having the given degree and zeros. Degree 4; zeros:…

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Q: For the following integral, (a) sketch the corresponding area, (b) approximate the area using the…

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Q: If what does the following integral equal? -15 -50 [9f(x) + 2g(x) - h(x)]dx = -15 |_| f(x)dx = 15…

A: The integrals are given asTo evaluate: The value of

Q: A golf ball manufacturer knows the cost associated with various hourly production levels, given…

A: Production cost for golf balls is given as,

Q: A large tank is partially filled with 150 gallons of pure water. Brine containing 2 pounds of salt…

A: Let A(t) be the amount of salt at any time t According to Question Rate of pumping in  gal/minRate…

Q: Find the equation of the tangent plane to the surface determined by x³y² + z-30 = 0 at x = 3, y = 5.…

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Q: 4. Three large tanks contain brine, as shown in the figure below. pure water 4 gal/min A 300 gal B…

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Q: 4 Sª 3 16 (x-7)(x + 9) dx

A: I=∫3416(x−7)(x+9)dx

Q: Compute the following limit using L'Hospital's rule if appropriate. lim (√2³-42² - 2) = I->∞0

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Q: Evaluate the following integral. 36 2 x - 36 36 x²-36 2 dx= dx

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