Let f(x) = log6x and g(x)=₁*. For all x < 1, f(x) > g(x).

Q: Σ (4/5) " n = 5

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Q: An energy-efficient hard drive has a 1.9-in diameter and spins at 4600 rpm. Part: 0/3 Part 1 of 3…

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Q: A slice of a circular pizza 10 inches in diameter is cut into a wedge with a 90° angle. Find the…

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Q: (10) Find the derivative by taking In (natural log) of both side of the function. y = [(cos x)*]x²

A: To find the derivative by taking  (natural log) of both the side of the function.Note: Since the…

Q: Find the derivative of y with respect to t. 1/ 3 y = sec 3t4 0<t<

A: The given function .To find the derivative function .

Q: and Continuity Worksheet o determine whether the function is continuous at the point. x² + 2x - 3…

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Q: Draw a sketch of the graph of f(x) = 2√x + 1 − 1. Explain the trans- formations of the graph of…

A: Explaination of the answer is as follows

Q: Find the distance from the point (1,-7,-8) to the yz-plane.

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Q: 2. Find the angle between the pair of planes. I 1:x+2y+3z +1=0, 2:3x +2y+z+2=0

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Q: Explain why the following justification is incorrect: To evaluate the limit of the function x² + y²…

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Q: Evaluate the integral. te⁹t dt Step 1 Recall the formula for integration by parts, which states that…

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Q: (3x² +9xy) dx+ (2x² + 2y) dy 20

A: The differential equation  is said to be exact differential equation if The solution of the…

Q: Solve the problem. A particle is released during an experiment. Its speed t minutes after release is…

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Q: Find the slope of the line tangent to the curve e at point (0, 0) - sin(x + 5y)

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Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

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Q: ii. Consider the following differential equation: d²x dx dt² +5+8x = f(x) where f(x) is the input…

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Q: Find the derivative of y = e² tan¯¹(x) е

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Q: Monthly sales of a particular personal computer are expected to decline at the following rate of…

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Q: Verify that Rolle's Theorem can be applied to the function ƒ (x) = x³ – 11x² + 38x − 40 on the…

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Q: Given the function f(x) = 3-5x, evaluate the number f-¹(1).

A: The given function is:

Q: 7. Given vectors ū= -2ï- 3j+ k, v= 3i+j-2kand w=(3,0,5), find if possible: a) |ū-3v +2w | b) The…

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Q: Evaluate the integral. 6² tep 1 30 6x² + 7x + 1 [² The integrand of x6x² + dx 30 6x² + 7x + 1 x7 x +…

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Q: Consider the curve f(y) = 7y over the interval 0 ≤ y ≤ 1. Use a calculator to find the surface area…

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Q: (a+b) The angle between vectors ifa+b=5 a=3 units and units. and a is 90°. Calculate to one decimal…

A: The angle between vectors  and  is 90 degrees.

Q: The total cost (in dollars) of manufacturing x auto body frames is C(x) = 70,000 + 600x. (A) Find…

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Q: Graph the function f(x) = 2x-3. State the domain, range, and horizontal asymptote:

A: Given :- To find  :- Graph the function , The domain, range and horizontal asymptote of the given…

Q: (b) Describe the relationship between each set of planes, and solve the system if possible: (vii)…

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Q: 3. Find the equation of the line or plane ( c) The line that is perpendicular to the line 2x-3y +1=0…

A: Find The Equation of the Line or Plane :c.) The line that is perpendicular to the line 2x – 3y + 1 =…

Q: 4) Find дz Əs when r = 2 and s = 0, if: z = 2x²y = x + y x = 1+s y = ers

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Q: Find a closed-form expression for the nth derivative of the function h(x) = xeª. (Hint: Find the…

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Q: Question 1 Let 0 = cos ¹(-) where 0 << T. Find the exact value of 0. Question 2 Let 0 = tan-¹(-√2)…

A: Question 1:Here we have a inverse trignometric function as given below:Now, solving it further we…

Q: If f(x) = x¹ +3, g(x) = x − 9, h(x) = √x, then fogoh(x)=

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Q: (e) Separating out the K and J terms, you now have a term of the form and bottom by a constant you…

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Q: For the function g whose graph is given, evaluate the following limits, if they exist. c. lim g(x)…

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Q: Evaluate the integral. π/4 1² tan (0) sec²(0) de 0

A: Given

Q: The position function of moving body is given by the equation s(t) = −5+ 5 cos t (s in meters, t in…

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Q: An energy-efficient hard drive has a 1.9-in diameter and spins at 4600 rpm. Part: 0/3 Part 1 of 3…

A: An energy-efficient hard drive has a 1.9-in diameter and spins at 4600 rpm.(a) To find the angular…

Q: Find the average value over the given interval. y = 4x + 4; [3, 7]

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Q: 2. Determine the derivative of the function f(x) = 2e* cos³ x. Leave answers in simplified factored…

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Q: Question 1 Let 0 = cos¯¹(-³) where 0 ≤ ≤. Find the exact value of 0.

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Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges.…

A: By using the ratio test for absolute convergence to determine whether the series converges or…

Q: 11. Consider the plane and the line with these equations 0 = x - y - 2z + 10 a) : a must b) Find all…

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Q: Problem 1. Let R be the region bounded by the curves y = (x - 2)² and y = x. Write integrals which…

A: Note: Due to guidelines, I can solve only the first 3 subparts

Q: x²-49 X-7x²-7x 2. Evaluate lim

A: To evaluate the following limit.Note: Since the student has posted multiple questions and does not…

Q: A particle moves along a coordinate axis. Its position at time t is given by p(t) = -t³ + 2t² - t -…

A: Solution-The position function is given by,We know velocity function is given by,

Q: (2) Find the derivative: m(x) = =+ 1/2+ + tanx - e³x

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Q: the definition of continuity to f(x)=5r-2² at z=0

A: This is question of calculus.Here function is given We have to check it's continuity.Using…

Q: Find three positive numbers whose sum is 120 and whose product is a maximum. (Enter your answers as…

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Q: What is the rectangular form of the polar equation: r = 4sin(θ)

A: To convert the polar equation r = 4sin(θ) into rectangular form, we can use the following…

Q: doesn't exist, state undefined. VA

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