3. Doubling time is the amount of time it takes to double an initial deposit. You deposit $20,000 in to an account with compounded annually interest with a doubling time of 7 years. a. When will you have $37,000? b. How much money will you have in 11 years?

Q: 11. The table of values below shows the rate of oil consumption in gallons per minute at selected…

A: Solution: Approximate the integral ∫012f(x)dx    with the left Riemann sum using the table below:…

Q: x-2 x-2x²+x-6 5. Evaluate: lim

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Q: 3. f(x)=-2[x]

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Q: H] Example: If an amount of $5000 is invested at 3% compounded quarterly, what is the amount after 3…

A: The objective of the question is determine the amount after the given year end .

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Q: Q. 1. a) Find the area of the region enclosed by the curve y = x² -2 and by the line y = 2. y=x²-2…

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Q: A function is given. Determine the average rate of change of the function between the given values…

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Q: 7. Evaluate: lim h→0 √9+h-3 h

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Q: Find the unit normal vector for the vector-valued function r(t)=(t^2-3t)i + (4t+1)j and evaluate it…

A: Given data:- Vector-valued function, rt=t2-3ti + 4t+1j Evaluate at t=2

Q: Suppose ū = (–5, −4, −5) and v = (–2, 4, −5). Then u x vis Uxuis and

A: Topic- Cross Product of Vectors

Q: Find the derivative of the function f(z), below. It may be to your advantage to simplify first. 28…

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Q: 21) 4n² +4n+36=0

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Q: Set up an integral for the area of the shaded region Evaluate the integral to find the area of the…

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Q: Given the DE as 2xy² + 4 = 2(3-x²y)y'. A. prove or disprove if the given D.E. is exact. B. If it is…

A: The given differential equation 2xy2+4=23-x2yy' Exact differential equation:    The differential…

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A: Suppose, y is the number of hamburgers she sells and x is a price of a hamburger. And, for the…

Q: 13. Recall that nonzero vectors u and are called collinear if there exists = a nonzero scalar a such…

A: Given data:- Nonzero vectors are u→ & v→ Nonzero scalar α v→=αu→

Q: Find and simplify each of the following for f(x)=3x-6. (A) f(x + h) (B) f(x+h)-f(x) (C) f(x+h)-f(x)…

A: Given query is to perform indicated function operations.

Q: Sketch the vector field F(x, y) = xỉ + yj and calculate the line integral of F along the line…

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Q: 6. Evaluate: lim x² +16 X-4 X-4

A: NOTE: Refresh your page if you can't see any equations. . here we have a rational function  and x=4…

Q: The graph of f is shown on the coordinate plane. Selected values for g are shown in the table. Graph…

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Q: Find the equation of a plane that is perpendicular to the vector 4 i + 2 j - 2 k and passing through…

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Q: For each pair of functions f(x) and g(x), find the following. F(x) = x³ +6; g(x) = = (a) f(g(x))…

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Q: Determine the domain of the relation graphed below. Ⓒ (-4,5) KD 1-4 51 CHAUS SH TEAT 2 0 NE O E 2: m…

A: We can find the correct answer in the following steps.

Q: 3) f(x) = 2x² + 4x Find a) f(3) b) f(x - 1) c) f(a+h)-f(a)

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Q: Let C be the positively oriented square with vertices (0, 0), (3, 0), (3, 3), (0, 3). Use Green's…

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Q: Evaluate the line integral r(t) = (sin t, cos t, t), F · dr, where F(x, y, z) = −3xi + 2yj + 4zk and…

A: Given:- Fx,y,z=-3xi+2yj+4zk rt=sint,cost,t To find:- ∫cF.dr , where c is given vector rt ,0≤t≤3π2

Q: For what value of a is the following function continuous at every x? f(x) = a²x-8a, x≥2 X<2 OA. a=…

A: Topic = Functions

Q: Find each of the following. Write DNE if the limit does not exist. lim f(x) = x-1 Find each of the…

A: Topic - Limits

Q: Given the values for sine and cos0, use the reciprocal and quotient identities to find the values of…

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Q: a) Complete the table below given f(x)=sin(3x)/x Round your answers to six decimal…

A: Compute the table for f(x)=sin(3x)x

Q: a) Find the area of the region enclosed by the curve y=x²-2 and by the line y = 2. y=x²-2 y=2 Co

A: Area of a closed region is given by  A=∬dydx, when the strip of area is parallel to y-axis.

Q: Kendra bought 188 donuts for $160. Her profit was $40 once she had sold 100 donuts. Which equation…

A: Find profit

Q: 2) A construction company uses the function S(t) = 28,000 - 2000t to determine the salvage value…

A: 0

Q: The table represents f(x) and the graph represents function g(x). Which of the following could…

A: The graph of the function gx is The table for the function fx is To evaluate: The value of the…

Q: Differentiate the following expressions and saveit under the given variables. 1. yp1 = 2. yp2 3. yp3…

A: Here is the required solution:

Q: 4. Evaluate: lim(x² - 10x) x→6

A: This question can be solved by replacing x by 6 in the expression x2-10x.

Q: Which number is equivalent to A 2 B 9 C D 81 729

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Q: H(t) = -15 16 -15 - +² Sketch the graph of the function. 4-t - 10 - 10 -5 -5 H(t) 20 15 10 $5 H(t)…

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Q: Use an appropriate Pythagorean identity to find the indicated value. Write your answer as a…

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Q: a) Find first and second derivatives of the following functions: x³ + 7x y=-cot(3t-1)

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Q: Find the perimeter of the following closed figures

A: Finding the perimeter

Q: 3x+5 2x-7 a) Find the Limit of f(x) as x approaches positive infinity. Give the exact answer as a…

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Q: G] Example: Raggs, Ltd., a clothing firm, has fixed costs of $10,000 a year. These costs, such as…

A: The total cost Cx in dollars of producing x suits a year is given by a function C.Cx=Variable…

Q: Find the equation of tangent at x = In 5: ln 2x a) y = ²x + 1 e to :

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: 6a + 24 3a-24 2 으 - a -16 a ²-2a-48

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Q: Find the exact value of the expression for the given value of 0. Do not use a calculator. COS COS ()…

A: Given that  : theta= 7π/4 and we find the value of cos(theta/2).   We know that : cos(2π-x)= cos(x).…

Q: observing the outside temperature rise. What is the relevant independent variable here? The…

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Q: Rearrange this expression into quadratic form, ax² + bx + c = 0, and identify the values of a, b,…

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Q: numbers a and b, or k, so that f is continuous at every point. 4) x2, x -4 A) a = -9, b = 20 120 15)…

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Q: If f(x) = 47 +5√x + 13 and g(x) = 2x² + 5, compute the composition (fog)(3). (fog)(3) =

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