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Q: Find the minimum distance from the point (4,2) to the parabola y² = 8x. A. 4√3 B. 2√2 C. √√3 D. 2√3

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: If h(2) = 4 and h'(2) = π, find g'(2) where g(x) = 2x h(x) + cos(x)

A: To find out the derivative of the given function.

Q: 60. f (x) = · x² - 4 x² +4

A: By the answering guidelines of Bartleby, We can answer only first three subparts, please post other…

Q: On the interval [0, 2π) determine which angles are not in the domain of the tangent function, f(0)…

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Q: A Find the equation of the vertical asymptote(s) of the function f(x)= x¹ +2 x = √₂ x=t√2 X = 0…

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = x + ,[0.2,…

A: Given: f(x)=x+1x We are required to: Find the absolute minimum value and absolute maximum value of…

Q: Convert the point (x, y, z) = (2, 2, 4) to spherical coordinates. Give answers as positive values,…

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Q: A curve has the following equation: y = x^2e^x−4 Find an equation of the normal to the curve at the…

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Q: what is the particular solution?

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Q: A new employee charged $3930 on his credit card to relocate for his first job. After noticing that…

A: where:         P is the monthly payment        A is the initial balance        r is the…

Q: When an initial amount of money, A, in dollars, is invested into an account that earns interest…

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Q: 1 Find the orthogonal Projection U<1, 1, 23 onto № 2-2, 3, 1 h And its orthogonal Componet to V

A: To find projection of vector u orthogonal vector to v.

Q: Write the of the tangent line for y = when x = 3.

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Q: Electric charge is distributed over the triangular region D shown below so that the charge density…

A: Total charge = Total area X Density This is the case when the density is constant. In this case, the…

Q: Write the vector in the form (a,b). y Au 0 600 X

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Q: Find the unique solution of the second-order initial value problem. y" - 10y' + 25y = 0, y(0) = 1,…

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Q: Consider the function ?(?)=?^2+2?. Use the limit definition of the derivative to find ?′(4)

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Q: 35. Prove that f(f ¹(B)) C B.

A: To prove the following

Q: ∞ n=0 (-3) 2nn4 (n + 1)!

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Q: Find the exact value of secl 2 sin" 1₁)

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Q: 3. For each power series, find the interval of convergence and the sum of the series as a function…

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Q: 4. Find the parametric equations of the line that is the intersection of the planes x+2y+3z=1 and…

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Q: The temperature adjusted for wind chill is a temperature which tells you how cold it feels, as a…

A: The temperature adjusted for wind chill is the temperature felt by a person. It is a combination of…

Q: Will f(g(x)) = g(f(x)) for every function f(x) and g(x)? Provide both an example and a…

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Q: Find the average value of the function f(x)=x2−21 on [0,6].

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Q: Use the Divergence Theorem to compute the net outward flux of the field F = (2x,3y, -z) across the…

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Q: Find the gradient vector field (F(x, y, z)) of f(x, y, z) = xe¹² |

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Q: 1. For each power series, find the interval of convergence and the radius of convergence. (2k…

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Q: |A| = 7,5 60° = 15 and the angle formed between tails of A and B lined up together is a) What is the…

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Q: If f(2) = 5 and f'(x) ≥ 2 for 2 ≤ x ≤ 6, how small can f(6) possibly be? f(6) ► 20 X

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Q: A particle moves along a line with a velocity v(t) = +3, measured in meters per second. Find the net…

A: A particle moves along a line with a velocity, where, velocity measured in meters per second.

Q: 5 for 5: Calculus AB Day 6 Solutions X f(x) f'(x) AB3: Evaluate AB2: Let G(x) = ef(x). Find G'(6). •…

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Q: Determine if the following series converge absolutely, converge conditionally or diverge. State your…

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Q: (0 points) Find the sum of the following series. If it is divergent, type "Diverges" or "D". ∞ 9n…

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Q: 23 2e s 1 Hint: for no particular reason, recall the function x ln(x) - x from the second exam. 8…

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Q: 2) [4x² -3dx -3

A: ∫xndx=xn+1n+1+C∫dx=x+C

Q: Sketch the vector field.

A: x y F→(x, y) = y2, x2 2 0 F→(2, 0) = 1, 0 0 2 F→(0, 2) = 0, 1 -2 0 F→(-2, 0) = -1, 0 0 -2…

Q: The function ƒ(x) = 10x² arctan(ï³) is represented as a power series f(x) = Σno Chan.

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Q: Find the curvature of the curve (t) = (5 cos(2t), 5 sin(2t), 2t) at the point t = 0 Give your answer…

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Q: raph the following function: y = tep 2 of 2: Determine how the general shape of the graph, chosen in…

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Q: Find the equilibrium point for a product D (x) = 45 - 4x and S (x) = 12 + 1x. Round only final…

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Q: Find the present value of the given future amount. $178,266 for 215 days at 5.9% simple interest.…

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Q: Find the center of mass of a lamina as pictured below, with inner radius 3 and outer radius 6, with…

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Q: Set up a triple integral for the volume of the solid. Do not evaluate the integral. The solid that…

A: Given data:    Triple Integration is given       x2 + y2 + z2 = 80         z = 1/2 ( x2 + y2 )

Q: f(x) = arctan 3 (2³) 4

A: Power series derivative

Q: Find the mass of a lamina bounded by y = 3√√x, x = 9, and y = 0 with the density function o(x, y) =…

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Q: Consider the function f (x) = ln(x - 3). Find the inverse of f and call this function g(x). Evaluate…

A: fx=lnx-3

Q: Evaluate S F · dỡ where F = (z, 4y, 2x), and C is given by r(t) = (t, sin(t), cos(t)), 0 ≤ t ≤ ñ o

A: F→=z,4y,2x and C is given by r→t=t,sint,cost

Q: The demand for a particular item is given by the function D (x)= surplus if the equilibrium price of…

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Q: The supply for a particular item is given by the supply function S(x)=√x + 10 Find the producer's…

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