Initial Investment $1,000 5 Annual % Rate X% Time to Double 15 yr Amount After 12 Years $ 1740.87

Q: Find the derivatives of the function Please show full work

A: I have appended the formula used in the solution procedure part of the question

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Q: 0.38 0.266 0.182 0.111 -√√x, y= Let R be the region bounded by the graphs of y= y = cos(3x), and the…

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Q: ty" + (1 − 2t)y' + (t−1)y=tet, t>0 and y₁ = et is one solution for the homogenous equation.

A: To find the general solution to the nonhomogeneous equation, we will use the method of variation of…

Q: Multiply ◄ O x-2 x+4 x²-5x+6 x²+3x-4 O 1x-3 (x-2)(x+2) O (x-3) ² O 1 (x-3)(x-1) (x-3)2

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Q: You are driving away from home. At noon, you are 47 miles away. Your velocity (miles per hour) away…

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Q: P(t) = 7et/8 Your computer continues with a note from the files that the alien civilization…

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Q: If a force of 24 N stretches a spring 0.2 m beyond its natural length, how much work does it take to…

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Q: Setup integral(s) with respect to y that represent the area bounded by = sin(x), y = 1, and x = 0.…

A: Region bounded by y=sinx ,y=1,x=0 Graph

Q: Use the definite integral to find the area between the x-axis and f(x) over the indicated interval,…

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Q: 67. (e4x + 1) dx

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Q: 3. By changing the order of integration, evaluate •ffer² dydx

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Q: A new 2014 luxury sedan that sold for $37,380 has a book value V of $22,879 after t = 2 years. (a)…

A: for t = 0 , V(0)=37380for t = 2 , V(2) = 22879   Linear model

Q: Evaluate the triple integral. III y dV, where E = {(x, y, z) | 0 ≤ x ≤ 2,0 ≤ y ≤ x, x - y ≤ z<x+y}

A: ∫∫∫Eydv, Where E=x,y,z | 0≤x≤2, 0≤y≤x, x-y≤z≤x+y

Q: Consider the surface z + 16 = xey cos z. Find an equation of the tangent plane to this surface at…

A: The given surface is:z+16=xey cos z

Q: find the general solution of the differential equation: y''-12y'+6^2y=e^(6x)*arctan(x) using the…

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Q: Find the directional derivative of f(x, y) = x²y³ + 2x^y at the point (4, -4) in the direction = =…

A: fx, y=x2y3+2x4y Point 4, -4 Direction θ=5π6

Q: Find the derivative of the function at Po in the direction of A. f(x,y,z) = xy + yz + zx, Po (3, -3,…

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Q: The area under y=k-x and above the x-axis and the y-axis is equal to .... where k=4

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Q: The revenue for selling a units of a product is R = 50x. The cost of producing a units is C = 10x +…

A: Let the unit of product sold be x. Th revenue function is, Rx=50x The cost function is, Cx=10x+7600…

Q: Solve the following by forming exact differentials. dy dx = (x+3y - 2)²

A: dydx = x+3y-22

Q: 00 Σ n=0 η3xn+1 n4 +1

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Q: Consider the function fand its derivative below: f(x) = 2√x-5-(x²-10x + 5) and f'(x) = 5(x-7)(x-3)…

A: The critical point is the point where the derivative is zero or undefined and the function is…

Q: Find the value of f(7) when 7 1 cost - 2 sin 3 3 f'(t) = and f (1) (7) = 6. 2 3

A: f'(t)=73cos(13t)-2sin(23t)given  f(π2)=6

Q: Use the Remainder Theorem and synthetic division to find f(-6) for f(x) = 2x³ +6x²-26 x+ 20 Use the…

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Q: Find a general solution to the given equation. y""-7y"+11y'-5y = 9e + sinx Write a general solution…

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Q: The graph below shows solution curves of the differential equation dy 4 1/3 3 Find an equation for…

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Q: The distance between two pillars of 10 and 15 meters high respectively is of 30 meters. The top of…

A: Given the lengths of the pillar is 10 and 15 meters  Given the distance between pillars is 30 meters…

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A: Given statement is true

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Q: Assuming that lim f(x) = 5, compute the following limits. x→6 (Give an exact answer. Use symbolic…

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Q: Evaluate sec(). Give your answer in exact form (no decimal equivalents).

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Q: Find the solution to the differential equation y = y = 2 when t = 1. dy dt = y²(6+t),

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Q: Determine f(x) given the differential equation and the initial condition f(2)= 7. dy dx = f'(x) =…

A: The given differential equation is:dydx=f'(x)=3x2with initial condition:  f(2)=7

Q: Suppose that a company introduces a new computer game in a city using television advertisements.…

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Q: The graph of f(t) is given in the figure. Represent f(t) using a combination of Heaviside step…

A: The graph of f(x) is given.

Q: 7) f(x) = In x² 3x+4

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Q: 25 The function f(x) is represented in the following table. Give the best estimate for S 10 The best…

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Q: Find the solution to the differential equation if y = 40 when t = 0. y = dy dt = 0.8(y-250)

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Q: Obtain the power series representation of the ff: 1. 1/(3+x

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Q: 4x² + 4y². Consider the function f(x, y) Find the the directional derivative of f at the point (−3,…

A: Consider the function fx,y=4x2+4y2.

Q: Use the chain rule to find ∂z ∂s and ∂z ∂t . z = tan  u v , u = 4s + 5t, v = 5s − 4t

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Q: Find the area of the indicated region. We suggest you graph the curves to check whether one is above…

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Q: Give the equivalent exact xy-coordinates of (-2, 5pi/3)

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Q: f(a+h)-f(a) h a. Use the definition mtan = lim h→0 b. Determine an equation of the tangent line at…

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Q: Answer all of the questions below about the function f(x) graphed below when x = -5. -∞ DNE…

A: A graph of a function y=fx is given below. To find the following. (i) limx→-5- fx (ii) limx→-5+ fx…

Q: Determine if the following statement is true or false. The points P₁ (12, 8, 9), P₂ (6, 4, 0), P3…

A: P112,8,9,P26,4,0,P30,-6,-9

Q: Find the exact location of all the relative and absolute extrema of the function. (Order your…

A: To find out the maximum and minimum.

Q: 7/2 cosesino drde

A: We need to solve the given double integral.