Let A = -4 2 [33] - 3 - 4 Find - 2A. - 2A =

Q: If f(x) (A) B C D = arctan x, then lim_ x+√3 0 1 4 130 ㅍ nonexistent f(x)-f(√√3) x-√3 is

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Q: Find dy/dx • y=x²ln2x • y= (ln(x+1))²

A: Given; • y=x²ln2x • y= (ln(x+1))²

Q: ← 1 5+2x -=-(- ₁ -/-) ₁ Let f(x)= a. Use the following definition of the slope of the tangent line…

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Q: Find the local maxima and minima for the function f(x) = x² + 3x - 4. If there is more than one…

A: this is the question of calculus  here function is given  we have to find the maxima and minima of a…

Q: K Consider the function f(x)= lim a. Evaluate lim f(x) and lim f(x), and then identify the…

A: A detailed solution is given below.

Q: 1) If Q=L0.75K what type of returns to scale does this function have? 0.75 2

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Q: Find the derivative. f'(x) = f(x) = x³ - 12x² + 36x - 4 Find any critical numbers of the function.…

A: Since you have asked multiple part question, we will solve the first 3 part of the question for you…

Q: Find Sn for the given arithmetic series. a₁ = -74, d = -3, n = 20

A: Solution: Given: a1=-74,  d=-3, n=20

Q: Fill in the missing values below to find the quotient when x +11x³ +21x² A - - 27x + 4 is divided by…

A: We have to slove above question

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an…

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Q: Calculate the integral Ita tan5 (x) sec² (x) dx.

A: To evaluate the given integral.

Q: Consider the function f(x)=12x5+30x4−160x3+5. For this function there are four important intervals:…

A: The given function fx=12x5+30x4-160x3+5. We have to find the critical points for the function.

Q: The line y = 5x 15 is tangent to the graph of at the point Aide (points) Y -20 x-7

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Q: 2. S sin√3x V3x -dx

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Q: Find Sn for the given arithmetic series. a₁ = 22, d = -8, n = 21

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Q: 6. If f f(x) dx = 10 and ₁ g(x) dx = 6, then [2f(x) - 3g(x)]dx is

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Q: Given: (x is number of items) Demand function: d(x) = 500 -0.2x Supply function: s(x) = 0.6x Find…

A: #8

Q: Question Eliminate the parameter t to find a Cartesian equation of the form y Write your answer in…

A: To eliminate the parameter and form a Cartesian equation

Q: A cylindrical can with volume 40 pi cm^3 is to be constructed. The material to be used for the sides…

A: Ans: radius = 5 cm height = 1.6 cm  For detail go through the solution I have solved step by step in…

Q: Consider the following infinite series. Complete parts (a) through (c) below. Σ k=1 64 (2k − 1)(2k +…

A: Given :∑k=1∞642k-12k+1

Q: Consider the following. f(x) = log(x), g(x) = x² Find the function fog and its domain. (Enter your…

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Q: Let f(x) = be a differentiable function with f'(x) > 5 on the interval [−1,8]. If ƒ(8) = -5, what is…

A: we need to find the largest possible value of f(-1).

Q: Find the volume of the region under the surface z corners (0, 0, 0), (8, 0, 0) and (8, 8, 0). Round…

A: Volume of the region is given by ∬f(x,y)dA

Q: Let f(x) = √2x³ +9 (3x+4)6/5. Find f'(x). Solution "We have f'(x) 0·0+ 0 & C da (apply the product…

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

Q: ) = f"(x) = -2 + 12x - 12x², f(0) = 6, f'(0) = 16

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Q: Determine the absolute minimum of the function shown in the graph. Answer: x = f(x) = Determine the…

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Q: Find the equation of a hyperbola that satisfies the given conditions. Vertices (0, 2), (0, -2);…

A: GivenThe vertices of hyperbola is (0,±2) and asymptote is y=±23x   We need to find the equation of…

Q: The letters r and 0 represent polar coordinates. Write the following equation using rectangular…

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Q: Find dy/dx • y= x+ ln ( x+ e^x) • y= lnx/x+1

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Q: 5.f(Inx)²dx

A: To solve the given integral.

Q: A 200-liter tank initially contains 100 liters of brine solution containing 25kg of salt. A brine…

A: The tank has the capacity of 200 liter and initial volume of brine solution in the tank is V0=100…

Q: A particle moves along the x-axis with velocity given by v(t) = cos (t) for time t > 0. If the…

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Q: 6. Find the maximum area of a rectangle in the first quadrant where one side of the rectangle lies…

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Q: Find the general solution of the following ODE. y′′ + 4k2y =

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Q: Let g(x) = (2x - 1)f(x), where f(x) is a differentiable function such that f(2)= 2 and f'(2) = -5.…

A: Given function g(x) whose derivative is to be found.1

Q: Express the equation in logarithmic form. (a) 16-11 16

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Q: Evaluate the following integral: S x³ /9 - x² dx

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Q: Recently a community college offered a 2-credit course to help students with math anxiety. At the…

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Q: aproximate he area under the curve y=x3 +5 from x=1 to x=3 using a left sum with 4 subdivisions.

A: Given that equation of curve is y=x3+5 from x=1 to x=3

Q: When a certain medical drug is administered to a patient, the number of milligrams remaining in the…

A: D(t)=20e-0.2tfor after 2 hours put t=2 in D(t)

Q: ly = uy = lx = ux = represents the volume of the region in the first octant that is bounded by the 3…

A: To find the limits of integration ly, uy, lx, ux, lz, uz so that  ∫lzuz∫lxux∫lyuy dy dx dzrepresents…

Q: Rewrite the following logarithms in expanded form by applying the properties of logarithms. a. log…

A: We can expand the logarithemic expression in the below steps.

Q: Question For\r < 1, Use this to find the power series for f(r) Select the correct answer below: n=2…

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Q: Determine the intervals of continuity for the following function. y=f(x) 401 9 8 17- 5 4- 3 2- 4- Q…

A: Given Graph:-

Q: Determine if the following series is convergent or divergent. Show all work, give thorough…

A: Use the ratio test to check whether a series is converge or diverges.

Q: 4.) 9x² + 4y² + 324. +3826

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Q: Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = 1,…

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Q: 4x -2/3 dx nut your fre

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Q: 10. Solve the higher-order nonlinear DE shown below and solve for x as a function of y. Take the…

A: y" +my2 = 0 given we have to find the solution of this differential equation this is the question of…

Q: 10. Use the evaluation thm to find the average value of f(x) = x² - 3 over [1,3].

A: Given query is to find the average value of the function.