Find the differential dy of the given function. (Use "dx" for dx.) y = √16 - x² dy =

Q: Part 2: An old study about 1,800 U.S. colleges and universities resulted in the demand equation q =…

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly…

Q: (a + 2b-3c) (ab+c).

A: let  I=(a+2b-3c)(a-b+c)

Q: 40. Toys Belkis is pulling a toy by exerting a force of 1.5 newtons on a string attached to the toy.…

A: Let a force F is applied to an object with an angle x° to the floor. Then horizontal component of…

Q: (√a +2√b)(√a-2√√6).

A: we know that  (a+b)(a-b)=a2-b2

Q: A poster consists of a printed area and margins (See image). The area of the entire poster is A =…

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Q: Let S be the lower half of the unit sphere x² + y² + z² = 1 and take n as the inner unit normal. Use…

A: Given S be  the lower half of the unit sphere x2 +y2+z2=1 and n→inner unit normal. The boundary…

Q: Suppose f'(x) = x4+x³-6x². Determine the value of x where f has a relative minimum value. (A) -2 B)…

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Q: The marginal cost function associated with producing x widgets is given by C'(x) = -0.6x + 100 where…

A: Given query is to find the cost of producing first 100 unit.

Q: Find g'(x) if g (x) = 5√x tan x. 5(2 cot x+tan x) 2√x 5 tan x(2x sec x+1) 2√x 5(x sec² x+2 tan x)…

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Q: 6. The Statuary Hall in the Capitol Building in Washington, D.C. is a whispering chamber. Its…

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Q: y=x+7, y = 9-x²

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Q: to go to obtain an increase of Problem 2. Consider the function f(x,y) = y ¹ | ²₁ (a) What is its…

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Q: Solve 7x + 5 = 3x –  11 then  x =

A: we have to slove the above question

Q: 17. Determine k so that d(x) is continuous -x-k, ifx-1 [2x+ 2k, if x = -1 d(x) =

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Q: 6.7 Find the unique number which is equal to its half plus 1.

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Q: A silver dollar is dropped from the top of a building that is 1331 feet tall. Use the position…

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Q: Use the rules for sums of powers of integers to compute the sum. 25 Σε i=8

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Q: dy dx x = h - 2 x (1 - y = x² sin x

A: xdydx-y=x2sinxdydx-1xy=xsinxthis is linear differential queation of first order

Q: If the common ratio is 0.6, what is the percent change?

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Q: 6.4 Find the largest integer smaller than -3/2

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Q: You receive two job offers: Job A: $41,000 starting salary, with 6% annual raises Job B: $52,000…

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Q: Determine the particular solution for the following initial value problem  dy dx = xy − 3x, y(0) = 4

A: Given differential equation:- dydx=xy-3x

Q: K Evaluate. 0 1 (2x² + 8) dx (2x²+8) dx = (Type an integer or a simplified fraction.)

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Q: Which of the following conditions will make the equation equation of a sphere in xyz-space Oa>b>c…

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Q: 4. Find the power series representation of the form Σ=o arn where f(x) 7 2 + x f(x) = a) Σ n=0 7·χη…

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Q: Let y = 4x². Find the change in y, Ay when x = 3 and Ax = 0.2 Find the differential dy when x = 3…

A: Given fx=4x2  We know that  ∆y=fx+∆x-fx Also, dy=f'xdx

Q: Find the sum of each series. Explain your answer in details. a) 2+0+(−2)+(−4)+⋯+(−38)

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Q: Evaluate: ²dz dy dx Ꮭ x 4+4 O π/48 O tan-¹(2)/24 O π/96 π/24 OT

A: The given integral is: ∫02∫0x3∫0y zx4+4 dz dy dx

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A: Here is the solution:

Q: n a stock room of a car dealership, there are 4 red, 2 white, and 3 blue flags. There are three flag…

A: Given that there are a total of 9 flags with 4 red, 2 white, and 3 blue flags

Q: Compute the area of the region under the graph of f(x) = ² from x = 4 to x = 7. X Area 11

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Q: 1. Evaluate the following definite integrals: 1 1.- J (20-1 0 1 [ (1³ / 2. 3. (2t - 1)'dt (t³ + t²)…

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Q: What interest is accumulated on an investment of $10,000 left in a bank for  5 years with an…

A: use the simple interest formula for calculating the interest.

Q: i = (-1,-1, 7) + t (4, −8, 2), -∞ < t < ∞o.

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Q: Find an antiderivative F(x) with F'(x) = 7x³ + 14x + 4 and F(0) = 1. F(x) =

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Q: Find the rate of change of total revenue, cost, and profit with respect to time. Assume that R(x)…

A: To find the rate of change of total revenue, cost, and profit with respect to time. Assume that Rx…

Q: Evaluate. b 1 S½x³dx 2 a

A: We can solve this as follows:

Q: Given that x = 5 when y = 0, solve the following IVP:  eydy/dx = (2x − 4)

A: Given that       ey dy/dx = (2x-4)

Q: Show the solution : S (sinx + cos x) dx sin²x answer: -In /cotx + cscxl-cs

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Q: 6.6 The rational number x=p/q, where p,q are integers, satisfies the following conditions        a)…

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Q: If f(x) = x² + x and g(x)=x-9, find f(g(x)) and g(f(x)). f(g(x)) g(f(x))

A: Given query is to find indicated composite function.

Q: Integrate. 1 Sex- 0 (x-3) ex dx

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Q: Evaluate the integral. 16-T² IMEL /16-² 16- 1 √16¬x²−z² (x² + y² +22)¹/2 dy dz dz = [

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Q: Find a formula for the inverse of the function. y = 6 In(x-4) y =

A: The given function y=6 lnx-4. We have to find the inverse of the function.

Q: Evaluate the function y = 2x2+2 / sqrt(x) between x=3 and x=5 using the fundamental theorem of…

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Q: X^2-4*x-17/4=0

A: We have to find the values of x.

Q: Compute the average value of f(x) Average value = = 1 4x + 3 on the interval [5,9].

A:

Q: 35. The magnitude of m is 29.2 meters, and the magnitude of n is 35.2 meters. If m and are…

A: We have to calculate the magnitude of sum m and n

Q: 2) Graph the following inequality. Decide if the points are solutions or non solutions. Graph…

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Q: 60. a. Find the linear approximating polynomial for the following function centered at a. b. Find…

A: Given that , fx=16x32 and a=9