If $20,000 is invested in a savings account offering 3.5% per year, compounded continuously, how fast is the balance growing after 4 years? (Round your answer to the nearest cent.) $ per yr

Q: Question 3: Evaluate the following limits, if they exist, by using the graph 3 -4 -3 -2 -1 3 -1 -2 -...

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Q: Juan's body metabolizes caffeine at a rate of 14.2% per hour (so the amount of caffeine in Juan's bo...

A: The amount of caffeine in Juan's body decreases by 14.2% each hour.

Q: In each of Problems 1 through 5, determine the canonical form of the eliptic equation. 1. Uzz + 2uzy...

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Q: Estimate the area under the graph 1 of f(x) = from a = 5 to x2 +1 b = 13 by using n = 4 rectangles o...

A: The given function,   f(x)=11+x2 from a=5 to b=13 by using n=4 rectangles

Q: 11. Find the slopes of the curve y y?- r2 at the two points shown hcrc. 2 (V3 = y2 - x?

A: we have the curvey4=y2-x2

Q: x2 arctan x dx

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as th...

Q: Question Select multiple answers and then press Answer. p(x), r b f(x) is continuous on (-00, a) and...

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Q: 27 dx 1 - 8 ,3 II

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Q: The present value of a sum of money is the amount that must be invested now, at a given rate of inte...

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Q: A solld is obtained by rotating the shaded reglon about the specifled line. about the x-axis y y = V...

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Q: 1 4lnr Evaluate: | (A +C - 2(r5 – 3) +C 2(,5 – 3) 2 +C 15 4lnr 4

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Q: A community had an initial population of 6000 people in 1990.  Now assume that the population decrea...

A: topic- exponential function

Q: a. Find the equation of the line tangent to the following curve at the given value of x. b. Use a gr...

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Q: r(x) = (/2x + 1 - x²)-1 r'(x) =

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

Q: Solve the absolute value. 2 – 2x + 13 = 5 then x = Enter your solution(s) as integers or reduced fra...

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Q: Determine the value of x of: (x² – 1 x < 1 f(x) = { x – 1 .2 x21

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

Q: You are an accountant for a manufacturer of radios. The demand function for the tablets is p=40-4r? ...

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Q: If an object moves along the y-axis (marked in feet) so that its position at time x (in seconds) is ...

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Q: Consider the following graph of the function g(x) (thicker line in blue) which is graphed with the c...

A: QUESTION- Consider the following graph of the function g(x) which is graphed with the cosine functio...

Q: The area of a circular sunspot is growing at a rate of 700 km2/sec. (a) How fast is the radius growi...

A: Question:The area of a circular sunspot is giving at a rate of 700 sq.km/sec  a) how fast is the rad...

Q: Let f(x) = 4e"+2 + e-3. | f'(0)

A: Question is solved.

Q: |(9 cos(9 x) +4 sin(4 x))dx =sin(9x)-cos(4x) +c Select one: True O False

A: topic- indefinite integral

Q: A population numbers 20,000 organisms initially and grows by 15.1% each year. Suppose P represents p...

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Q: Consider the following. br (a) Set up an integral for the volume a solid torus (the donut-shaped sol...

A: We have to set up an integral for the volume of solid integral.

Q: Felow are the polar coordinates. Find the Cartesian Coordinates. 5, 2

A: Topic:- coordinate system

Q: 5. Find lim f(x) f(x) 2 1 i -1 2 -2

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Q: Find  f '(x). f(x) = (x2 + 4x)(x + 3)

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Q: 9. Find y' and y" for the following curves: a) x2 + y² = 1 b) x³ + y³ = 1 c) x* + y4 = 1

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Q: Given: cos(cos2x) sin2x dx Find: du O 2sin2x dx -2sin2x dx O -2cos2x dx 2cos2x dx

A: Given that ∫cos cos 2x sin 2x dx  -(i)Our Aim is to find the value of du=?

Q: y 4 A y = 4* 3 2 y = 2* 0.5 1

A: Given query is to find the area of shaded region.

Q: . Find the equation of the line tangent to the function at the given value of x. . Use a graphing ut...

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

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Q: 7. Pick the correct answer and explain your answer with words: [2C] Your sibling states "If you fini...

A: Question- Pick the correct answer and explain your answer with words.

Q: (a) Solve the following: 1 (i) 2-6: 8

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Q: 1. (a) Find the first four nonzero terms of the Taylor Series for the given function centered at a #...

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Q: Find an approximation to V11 using 4 steps Bisection Algorithm

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Q: flIth)-f(1) find lim.

A: Given query is to find the Indicated expression.

Q: Solve the absolute value |x/-5+9|=8 then x=

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Q: Given the General Solution y = ke-0.08x2 Find the value of "k" given the condition (-3, 580). A) k =...

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Q: Use Lagrange multiplier to solve. Max U = x+y+z subject to xyz = 8

A: max U=x+y+z subject to xyz=8

Q: Calculate the integral

A: Required formulae: ∫exdx=ex+c , c = integration constant∫abexdx=[ex]ab=eb-ea

Q: Solve the differential equation with appropriate method. Express final answer equated to y^n. (e.g. ...

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Q: Graph the curve r = sin(0)+ 1/2

A: Given : Curve r= sin(θ)+ (1/2)  From the given curve(r), the parent function is f(θ) = sin(θ) 

Q: The area of a circular sunspot is growing at a rate of 500 km/sec. (a) How fast is the radius growin...

A: Note that, the area of a circular sunspot is A=πr2 So,  dAdt=π2rdrdt⇒dAdt=2πrdrdt...(1) Now, given t...

Q: Use the Ratio Test to determine whether the series is convergent or divergent. n = 1 Identify an. Ev...

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Q: Find all solutions to the following first-order differential equation.  Make sure the solution set d...

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Q: and non-real). (Enter your answers as a comma-separated list.) x3 + 12x2 + 46x + 60 = 0

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

Q: A 12-lb weight stretches a spring 2 ft. The weight is released from a point that is 1 ft below the e...

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Q: A graphing calculator is recommended. Find the following, correct to two decimal places. (Enter your...

A: topic - functions and derivatives

Q: a. Use the Taylor error bound to compu approximation given by T3. Show your work, state any definiti...

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