3 11 2.) S³²₁ 2 (x+4)² dx

Q: Two variable quantities A and B are found to be related by the equation given below. What is the…

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Q: 25. Show whether the following function is continuous et x = 0. 4x-9if x>-3 3x+6 if xs-3 f(x)=

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Q: could you please write the answer properly please and clearly

A: NOTE: Refresh your page if you can't see any equations. . here we have x=1

Q: Consider the following parametric curve. Answer parts a and b. x=t+ 1 dy dx - 7 1 y=t-it=1 a.…

A: dtndt=ntn-1dydx=dydtdxdt

Q: Use the graph of y=f(x) to answer the following. Part 1 of 8 (a) Determine /(-4). (-4)=0 Part 2 of 8…

A: given graph of f(x)

Q: Find f + g, f − g, fg, and f/g and their domains. f(x) = x, g(x) = 8x Find (f + g)(x). Find…

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Q: Find the area enclosed by the ellipse a cos(t), y = b sin(t) with 0 ≤ t ≤ 2.

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Q: Find the surface area and volume of the figure below. 9 ft 9 ft Surface Area = Volume= 9 ft a square…

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Q: What would projvu be?

A: We have to find the projvu.     According to our guidelines we can solve only one question so please…

Q: Find the differential dy when x = 1 and dx = 0.3 Find the differential dy when x = 1 and dx = 0.6…

A: Given query is to find differential at indicated points.

Q: The radius of a sphere is measured as 6 centimeters, with a possible error of 0.025 centimeter. (a)…

A: Given the radius of the sphere is 6cm with a possible error of 0.025cm   We are required to finda.…

Q: Let f(x,y)=x²-3xy-y2. Compute f(2,0) and 1(2. - 6). f(2,0) = (Simplify your answer.)

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Q: 1 Solve for the differential of y when y=sin (1x). x= 3 and dx = N|H

A: The given function y=sinπx. We have to find the value of the differential dy, when x=13 and dx=12.

Q: Expand the expression using the binomial theorem (2+4)*

A: As we know from the binomial theorem: x+yn=C0nxn+C1nxn-1y+C2nxn-2y2+....+Cn-1nxyn-1+Cnnyn   To…

Q: Given the parametric equations below, eliminate the parameter t to obtain an equation for y as a…

A: To find y in terms of x  first find t from x(t) and then substitute the value of t in y(t).

Q: If f(x) = 2x³ + 8 x² + 3, at what points are f'(x) zero or does not exist ? A B (C) 1,0 0, 0, D 0, w…

A: Given query is to find the points where derivative is zero

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: Write the Taylor series for f(x) = sin(x) at x = 2 Find the first five coefficients. Co= C1= C₂= C3=…

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Q: A spherical balloon is inflating with helium at a rate of 144x min . How fast is the balloon's…

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Q: An airplane flies due east from point A to point B, a distance of 200 miles. The plane n turns on a…

A: Given query is to find the distance between A and C.

Q: K Evaluate. b √3x³x 1²³x²0x=0 a

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Q: The price-earnings ratio of a stock is given by P RP,E) = E where P is the price of the stock and E…

A: Given: Price per share of a certain company, P = $30.13 Earning Per share, E = $1.84

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

A: let  I=(a+2b-3c)(a-b+c)

Q: 00 Š 00 dx dy (x2 + 64)(y2 + 16)

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Q: P3 Find the Maclaurin expansion for the following functions and indicate for which values of a it…

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Q: = Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep…

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Q: Differentiate implicitly to find y²-x³ = 22; (3,-7) Then find the slope of the curve at the given…

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Q: .9 A student invested $10,000 in SP500 index now (in 2021). His colleague made the same investment…

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Q: (D4 + 5D²+4) y = cos (3x +4)

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Q: Consider the power series (52 — 2)n n² Find the radius of convergence R. If it is infinite, type…

A: Series

Q: -3t Express x = e ³t y = 2e2t in the form y = f(x) by eliminating the parameter. : y = ||

A: Given x=e-3t and y=2e2t

Q: Use the properties of limits to compute the following limit exactly lim [(x-3)³ (5x+1)²]

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Q: Find dw ər dw & interms of r&s if w = 2x + 2y + 2z² əs x=y=5r² + In 2s & z = 3r

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Q: Write the Taylor series for f(x) = x³ about x = 4 as Σ²₂(x − 4)". n=0 Find the first five…

A: The given function fx=x3. We have to find the first five coefficients of Taylor series for fx…

Q: The velocity of a body is given by v(t) = 2t, 1≤t≤5        = 5t2 + 3, 5<t≤14 where t is in…

A: Given function:- vt=2t1≤t≤55t2+35&lt;t≤14

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: 4. y = -2 sin(x) 5. y = = sin(2x) 1 2 6. y = cos(4x) cos(4x)

A: Here we have to find period, amplitude and frequency.

Q: Let F(t) = < -1² + 5, t4 + t, In a. Determine the coordinates of the point on the curve traced out…

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Q: A metal cube dissolves in acid such that an edge of the cube decreases by 0.80 ​mm/min. How fast is…

A: given data  edge of the cube decreases by dldt=-0.80 ​mm/min instantaneous length of edge (l)=8.90…

Q: Of all students at the University of Metropolis, the proportions taking certain numbers of units are…

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

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Q: Set up an integral that represents the length of the part of the parametric curve shown in the…

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Q: How do you measure distance along a smooth curve in space from a preselected base point? Give an…

A: To find: measure distance along a smooth curve in space from a preselected base point

Q: Let f(x) be defined such that f(2)= 3 and f'(x) = cos(+x), where 1 < x < 4. Part A: Find the tangent…

A: Please see the below picture for detailed solution.

Q: Use the Fundamental Theorem to evaluate the definite integral exactly. S e -0.1t dt =

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Q: ). Find the Taylor polynomial of degree two approximating the given function centered at the given…

A: Given function:- fx=x Taylor series is given by fx=∑k=0∞fkak!x-ak

Q: y = x - 3x 3x√√x √x-1

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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: Find the initial horizontal and vertical velocity for each situation. 1. a soccer ball kicked with…

A: To find the initial horizontal velocity and vertical velocity for the following situation.a soccer…

Q: Siven y=√x. Find dt = dx dt when y = 7 and (Simplify your answer.) dy dt = 1.55.

A: Given query is to find indicated derivative.