Let y(t) represent your bank account balance, in dollars, after t years. Suppose you start with $30000 in the account. Each year the account earns 7% interest, and you withdraw $5000. Write the differential equation modeling this situation. dy dt y(0) = II

Q: Consider the function f(r) - on the interval 2, 6. Find the average or mean slope of the function on...

A: f(x)=1xInterval [2, 6]f(2)=12f(6)=16The mean slope=f(6)-f(2)6-2Mean slope = 16-124Mean slope = -44(1...

Q: The quantity of a substance can be modeled by the function N(t) that satisfies the differential equa...

A: We have to find the quantity of substance at t=1.8.

Q: Evaluate the integral. Answer should be expressed as a decimal value (5 decimal places, example 0.01...

A: Put y =5secthetha and solve it. 

Q: What are the 5th roots of -1? Show complete solution

A:

Q: Q1) For the following functions, find fxx, fyy, fxy and fyx. 1. f(x, y) = e* + x In y + y In x

A: Since you have asked multiple Questions, we will solve the first question for you. If you want any s...

Q: Use implicit differentiation to find y' and then evaluate y' at (3,4). 8x² - y³ - 8 = 0 y' =| y'l(3,...

A: ddxfx±gx = dfxdx±dgxdx dafxdx=adfxdx dxndx=nxn-1.

Q: 1. Use the given pair of functions to find and simplify expressions for the following functions. f (...

A: topic -  function

Q: Use the Integral Test to determine if the series 1 Σ (n +2)°/¾ n=1 converges or diverges.

A:

Q: where A and C are eritical nummb ers /- intervals (-0,A) (AB), (B.C) and (C) where A and c are eriti...

A: This question is based on application of derivative.

Q: 3t -5 4 -3 -2 -1 2 -2 What is the least possible degree of the polynomial graphed above?

A: find the least possible degree of the polynomial .

Q: Find the open intervals on which the function f(x) = ax² + bx + c, a ± 0, is increasing and decreasi...

A: Given f(x) = ax^2+bx+c, a is nonzero differentiate withe respect to x df/dx = 2ax+b for increasing d...

Q: dr ei+ 3t'j dt 9. Solve the following vector initial value problems: r(0) = 2i – 8j

A:

Q: Consider the function fix) - sin x. Complete the table below and sketch its graph. 011/6 11/2 Sn/6 7...

A:

Q: Find the Taylor polynomial of degree 3, centered at a 2 for the function f(x) = VI + 5.

A: We will find the Taylor polynomial. 

Q: Evaluate the integral Sr 8ry dA, where Ris the triangle 8x + y 0, y > 0.

A:

Q: Find the length of the curve over the given interval. r = 7 - 7 sin(0) on the interval 0 < 0 < 2n

A:

Q: A tank in the shape of an inverted right circular cone has height 9 meters and radius 19 meters. It ...

A:

Q: Use the Comparison Test to determine if the series 5n cos 2n - n³ + n² + 1 n=1 converges or diverges...

A: Given query is to find series converges or diverges.

Q: Write an equation for the polynomial graphed below 6+ 5- 4 3- 2- 1- 4 1 -1- 2 3 4 -5 -3 -2 |-2- 3 - ...

A: Find your answer below 

Q: c) : Evaluate the integral xp- x2-4x-5

A:

Q: 20x + 1125 The average cost for a company to produce x units of a product is given by the function A...

A: Given problem:- The average cost for a company to produce x units of a product is given by the funct...

Q: Use implicit differentiation to find y' and then evaluate y' at the point (4,5). y-8x2 +3=0 y' = %3D...

A:

Q: Sx² + 1, x > 1 Зх — 1, х < 1 f(x) = Calculate the purpose of the following functions

A: topic -  limit and continuity 

Q: Consider the function f(x) 2x + 6x2 18x 54. a. Find the first derivative. f'(x) b. List any critical...

A: Given problem:- Consider the function f(x) = 2x³ + 6x² -18x-54   a. Find the first derivative. f'(x)...

Q: Write an equation for the function graphed below 5+ 7 -6 5 -2 6.7 -2

A:   From the given figure, the vertical asymptotes are x=-3 and x=5, the horizontal asymptote is y=2 a...

Q: Exercise 1 Determine the relative extrema of f. (b) f(x, y) = 4xy² – 2r*y – x -

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Q: 11 1 Calculate the following limit. Let an = and bn = Vn + In (n) (Give an exact answer. Use symboli...

A:

Q: The radius of a right circular cylinder is given by sqrt(t+7) and its height is 2 (sqrt(t)), where t...

A:

Q: The sum of the fırst ten terms of this sequence 2.5, 1.25, 0.625, ... is Round answer to three decim...

A:

Q: A sample of radioactive material starts with 0 grams . After 3 half -lives have passed , how much ra...

A: Let's find. 

Q: Find the absolute maximum and minimum values of the function on the given set R. f(x,y)=(x-2)*+y'; R...

A:

Q: Evaluate the integrals of the functions graphed by using the formulas for areas of triangles and cir...

A: Given query is to find the value of the integral.

Q: 3. A function is defined by the equation y = V3x + 4, where does the slope of the tangent line equal...

A: Given,           A function is defined by the equation y=3x+4 and the slope of the tangent line     ...

Q: dx I [; (1-2x) I= [sin (4x) cos(4x)dx (In(x))3 dx I

A: Given

Q: Evaluate the integral if it converges and enter the exact value. If the integral diverges, indicate ...

A: NOTE: Refresh your page if you can't see any equations. . here the given interval is 

Q: Let f(x) = Vx. Which of the following is the Taylor polynomial of degree 1 for f(x) centred at a = 1...

A:

Q: Evaluate the integral x Inx dx Select one: Inz -+C Oi In r- a +c 0 in z- +c 3. a Ina O None of them ...

A:

Q: Determine the following information regarding the function + 2(x - 4)- A. f (x) f "(x) Intervals of ...

A:

Q: Evaluate the integral if it converges and enter the exact value. If the integral diverges, indicate ...

A:

Q: xtra questions: Find the Derivative of 8 1. y = 10 vx ++ x2 2. y = ta n(si n x) 3. у %3D cot?3x

A:

Q: using seperation of variable method, solve dy/dx=x3y2

A:

Q: fa) - 6x + 5X-! (- o, A).(A,B)(B,C) and (C,) where Important inte A and C are the critical numbers T...

A: Let's find. 

Q: Suppose f(x) is continuous and increasing on [a, b], and concave up on (a, b). Is T6 (the Trapezoid ...

A:

Q: 3. Use the Comparison Test to determine if the series 5n — сos 2n n³ + n² + 1 n=1 Converges or diver...

A:

Q: A) Evaluate the integral Jf(x) dx. B) Find the average value of the function f(x) over the interval ...

A:

Q: S (1 – cot x) dx b)

A:

Q: Being z = ax'y1+ bx*y3, with a and b constants. P is a point given by (-1, -1) and it is known that:...

A:

Q: g8) = 6x34 54x2+90X Is the graph of g) gx) at X= -12 the graph of ga)is concave up orconcaue down at...

A:

Q: メメ m FCX) メー」 メー メ 0.9 0.99 0.999 1.ool 1.01 flx)

A:

Q: 3. The diagram shows a cuboid that is formed by bending a long wire of length 336 cm?.

A: Given : h = 4(21-x) x = 12.92 cm