Use logarithmic differentiation to find dy/dx. y=x√√√x² + 4, dy dx = X>0

Q: If a rock is dropped from a height of 232 ft, its poistion t seconds after it is dropped until it…

A: Given :           The rock is dropped from a height of 232 ft.            s(t) =-16t2+232

Q: 2 x² + y² = 9 3:31/ 11:44 dx x² + y² = 0 dx 2x + d (y²) {f(g(x))]' = f'(g(x))•g'(x) CC

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Q: Let R be the region enclosed by the curves y = x 2 and y = √ x. Find the volume of the solid…

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Q: Please show your answer to 4 decimal places. Suppose that f(x, y) then the maximum is =…

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Q: Let R be the region bounded by the following curves. Find the volume of the solid generated when R…

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Q: Describe the left-hand and right-hand behavior of the graph of the polynomial function. (Select all…

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Q: 5 ( 2xy +₁ e X = 1 Date 3 +2xy +y) dx + ( x²ÿ t ey - x ² y ² - 3 x) dy = solvo using Integrating…

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Q: A graphing calculator is recommended. (a) Find the equation for the tangent line to the curve f(x) =…

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Q: Find the indefinite integral and check the result by differentiation. Step 1 10x 7 - x²) ³ dx…

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Q: Find the derivative of the function f(x) 1 2 = 1 .8 at

A: The given function is f(x)=1/x8, at x=-1/2

Q: 8. VOLUME: Sketch the region bounded by the graphs of y= √x-2, y=0 and x = 6. SET UP THE INTEGRAL,…

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Q: Find the x-values (if any) at which f is not continuous. State whether the discontinuities are…

A: To find the -values (if any)  at which f is not continuous. To state whether the discontinuities are…

Q: The population of a southern city follows the exponential law. Use this information to answer parts…

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Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

A: By using implicit differentiation to find an equation of the tangent line to the curve at the given…

Q: Find the indefinite integral. (Use C for the constant of integration.) J sec(9-x) tan(9 - x) dx

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Q: Use the Chain Rule to check that the derivative of dx 5 2(7-x²)² + C is the integrand of the…

A: As we see from previous problem Now we solve the step 6 for you again

Q: I si sin³ (x) cos² (x) dx

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Q: A farmer finds that if she plants 45 trees per acre, each tree will yield 35 bushels of fruit. She…

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Q: d² y dx² -2 dy dx +4y= 0

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Q: To find the surface area of of revolution, we need to make two decisions: S = √2πz i) Shall we use S…

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Q: Find the equation of the line passing through (1,. and perpendicular to the line passing through the…

A: To find the equation of the line passing through (1,5) and perpendicular to tge line passing through…

Q: d. When is the instantaneous rate of change of the squirrel population approximately 7 squirrels per…

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Q: A survey was done at a beach. Since more people needed help from lifeguards on days when more ice…

A: Give reasons for the given survey as asked.

Q: A corporation has a continuous compounded bank account with 2.6% annual interest. The board of…

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Q: Determine where the function f(x) is decreasing given the first derivative is: ƒ¹(x) = x²(x + 1)

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Q: dy Find if y= dt 1 2 u+u and u = 9+ 5t.

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Q: If f(x) = =√(t³3 + 3t² + 6) dt then f"(x) =

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Q: For the given cost function C(x) = 12100 + 500x + x² find: a) The cost at the production level 1450…

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Q: Find the differential dy of the given function. y = √√√3-x² dy =

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Q: A particle is moving along the x-axis. The position of the particle at time t is given by x(t) = t³…

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Q: I(t) 2200e0.032t During the first couple weeks of a new flu outbreak, the disease spreads according…

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Q: Consider the following. 1 y (a) Find y' by implicit differentiation. y' = 5 X : 4 (b) Solve the…

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Q: Can the Squeeze Theorem be used to determine lim f(x) when l(x) ≤ f(x) ≤ u(x) on (1,2) U (2,3) and…

A: To determine whether the Squeeze theorem can be used to determine  and the graphs of  are shown in…

Q: 19 If f(x) = - f f'(x) = 0 3 t'dt then

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Q: Given the system of equations (D+5)x+ D²y = cos(t), D²x + (D+7)y= ln(t), (a) Write the system as a…

A: Given the system of differential equation.

Q: Find the limit of s(n) as n → ∞⁰. 1 1/2 [n(n+1) n² 7 s(n) =

A: given function

Q: Find the critical numbers of the function. g(t) = t√13-t, t < 12

A: To find the critical numbers of the following function.

Q: (d) 162 f(x) dx X

A: From the given graph

Q: A box with a square base and open top must have a volume of 442368 cm³. We wish to find the…

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Q: Find the indefinite integral. (Use C for the constant of integration.) 9 Z₁ Z√ 492²-64 2 tan S 2 -1…

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Q: / I x+√√√x²=1 -1 I+ da

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Q: Find the point (a, b) on the graph of f(x) = 3x² - 4x + 1 where the tangent line to the curve has a…

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Q: Find d²y 2 dx 11 y=¹1√√x

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Q: Find r'(t), r"(t), r'(t) · r"(t), and r'(t) x r"(t). r(t) = 5t²i - 5tj + 3t³k 2 (a) r(t) (b) r"(t)…

A: Note: As per the guidelines, I have solved three sub-parts. If you want the solution to the last…

Q: dy' dx (6.) (i + cos x ) = X = 0 y = 1 sinx (sinx tsinxcosx -y) Answer: C=1/12/2

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Q: Given the graph of f (x), sketch a graph of ƒ' (x):

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Q: Sketch the graph of a function f with the following properties: f is not continuous when x = 2 but…

A: The given conditionsf is not continuous when  but  exists f has a jump discontinuity when f is…

Q: For f(x)=√x and g(x) = 2x+7, find the following composite functions and state the domain of each.…

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Q: 5 (2xy = 3x²) dx + (x² + ay ) dy = 0 | solve using exact equations) X = 2 Answer: C = 4 ) y = 2

A: The given differential equation is

Q: y = √√x - 2 + 1 Show 4 pts, including the end point. (No decimals. Is no-calc. formative What are…

A: The given information .The aim is to find the transformation of the function, domain, range and…