Differentiate. Please use positive fractional exponents of lowest terms rather than decimals in your final answer. v= -- 24 9 4 t t5 Vi 2 -

Q: Use Taylor Series to evaluate the following limits: In(1+x²) (a) limx→0 1-cos x 20 1/²

A: Since you have asked multiple questions in a single request so we will be answering only first…

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Q: Differentiate the following function with respect to x: f'(x) = f(x) = √5+x² 2x

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Q: 8. H(x)=4x7 - 6x² + 3x - 12 9. g(x)=6√x-2 10. -2-8 h(x) = 2x5+7x 2X

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Q: 20. C. All real numbers Find the domain of the function. f(x) = 3 X-6 OD. {y ly 20}

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Q: Consider the functions z = ex In y, x= In (u cos v), and y= u sin v. dz əz (a) Express ди (b)…

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Q: Simplify the expression algebraically. ​   ​sin(9x-9y)sin(9x-9y)

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Q: Find the following matrix product, if it exists. 8 10 *][:] 01 3 2 9 - Select the correct choice…

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Q: If f(x) = Σ22" and g(x)= n=0 n=0 n=0 na", find the power series of f(x)g(x).

A: Givne series

Q: Assuming 4x³ - 5y² - 9xy = 0 defines y as a differentiable function of x, use the theorem dy dx Fx…

A: 4x3−5y2−9xy=0F=4x3−5y2−9xy

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Q: The function P(x) = − 2.25x² + 1775x – 9500 gives the profit when a units of a certain product are…

A: a=According to Bartleby's guide line we only do first three parts of multiple part questions.Given,

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Q: 2 Find the volume of the solid whose base is the region enclosed by y = x² 3. The cross sections…

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Q: Let r(t) = (5 t, 4t – 3, 7t) and P(4, 1, 7). (a) Find the arc length function s(t) for the curve…

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Q: A patrol car is parked 35 feet from a long warehouse (see figure). The revolving light on top of the…

A: A car is parked 35 feet from a long warehouse. The revolving light on the top of the car turns at a…

Q: 17. Evaluate these limits of h. a. b. Evaluate the limit, if it exists. (If an answer does not…

A: To evaluate the following limits.

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Q: When a circular plate of metal is heated in an oven, its radius increases at a rate of 0.02 cm/min.…

A: Let the radius and area of plate at any time t be r, A.

Q: f(z) 2+3x1x², find f'(5).

A: f(x)=2+3x−4x2, find f′(5).

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Q: Find Əw Əv Əw Əv y when u = 0, v = 0 if w = x² + x = 2u - 4v + 1, y = 6u+v-2. X lu = 0, v = 0 =…

A: To find:

Q: A company can charge a price of 71 dollars per unit when they sell 430 units. If the price increases…

A: R(x)=(71+3x)(430−7x)

Q: др Draw a dependency diagram, and write a chain rule formula for and əm up am = с. др др ди = am du…

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Q: Set up (but do not evaluate) an integral that expresses the area between the circles 2 2 2 2 x + y²…

A: To find the area between the circles x^2+y^2=2 and x^2+(y−1)^2=1, you can set up a double integral.…

Q: Find the indefinite integral. (Use C for the constant of integration.) | (In(x))5 dx X

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Q: 1. Let a=⟨0,1,−5⟩ and b=⟨4,0,1⟩. Compute: a+b=⟨____,_____ ,_____ ⟩ a-b=⟨____,_____ ,_____ ⟩…

A: According to Bartleby guidelines we are supposed to do the first three sub parts of multiple sub…

Q: Find all solutions of the following equation in the interval [0, 2π).    sin^3x=sinx

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Q: b) We want to build a container in the shape of a cylinder and it needs the materials shown below.…

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Q: A large tank s filled to capacity with 400 gallons of pure water. Brine containing 2 pounds of salt…

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Q: USE INTEGRATING FACTORS I. Find the General Solution: Answer is already given. 19. 2y dx = (x² -…

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Q: Find the particular solution of the differential equation that satisfies the initial condition(s).…

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Q: The sum of the first 100 terms of the arithmetic series 3 + 1 + (-1) + (-3) + ... is

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Q: Find all critical numbers of the function f(x) = sin²6x + cos6x¸ 0<x< Select one: a. O b. ⒸC. O d.…

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Q: Find the derivatives of the following. 1. f(x) = 4x³ + 5x² - 7x 2. h(x) = 2x4+7x x² 3. y=x2/3+2x5/4…

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Q: USE INTEGRATING FACTORS I. Find the General Solution: Answer is already given. 23. (x² + a²2) dy =…

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Q: Determine whether Rolle's Theorem can be applied to the function f(x)=x²- 2x - 8 on the closed…

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Q: PROBLEM 2. Integrate the equations of motion for a particle in a central field U=-α/1² (a > 0).

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Q: Let C be the curve of intersection of the cylinder 25x² + y² = 25 and the plane x + y + z = 4. (a)…

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Q: The graph of a function is given; each grid line represents 1 unit. Use the graph to complete parts…

A: Domain is the value of x for which the function is defined. Domain of the function is : (-2,7) Range…

Q: Problem 2: Consider the initial value problem: y' y(1) = 2. Determine the interval of existence a <…

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Q: Find the order 3 Taylor polynomial T3(x) of function given. Use exact values. f(x) = (5x +39) at a =…

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