If f(x) = -1/2 then f(³)(x) = , A O 2 2:3 O O 6 2 ການ 6 x4

Q: 25 5 Given the matrices A , B www.m 4 1 -5 for the matrix X in the equation (X - 5B) A = C. X = ,…

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Q: 9-x² - y² SS. 0 9-x² 0 √√x² + y² dz dy dx 2

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Q: Find all roots of the polynomial equation. Use the Rational Zero Theorem, Descartes's Rule of Signs,…

A: Concept: Descartes's rule of signs: The number of positive (or negative) real roots and the number…

Q: Calculate the following limit: lim (x,y) →(-1,1) 3y² + 3xy - x - y x³ + y³

A: Given, limx, y→-1, 13x2+3xy-x-yx3+y3

Q: Use the limit comparison test to determine whether the series converges 1 k=√125k² - 2k The series…

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Q: Evaluate the series or state that it diverges. 38 Σ[3] [4]] + 4 9 k=1 Select the correct choice…

A: We have to find sum

Q: Find the area of the region enclosed by the following functions. a) x=y²-3 and x=y+1. (-1,-2) 1…

A: Consider

Q: Refer to the graph of y = f(x) = x² + x shown. a) Find the slope of the secant line joining (-4,…

A: Given:    f(x) = x2 + x

Q: Into a 100 - gal tank initially filled with brine containing 50 lb of salt flow 3 gal/min of brine…

A: Into a 100-gal tank initially filled with brine containing 50 lb of salt flow 3 gal/min of brine…

Q: Q2: Find the double integration ff, (4x + 2)dydx D = { (x,y):0<xs2,xsys2x}

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Q: Find the slope of the tangent line to y = sin x tan (즉) m =√3 2 m = T√√3 3 m = -√3 3 None of the…

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Q: Evaluate ffz + 3y - x^2 ds where S is the portion of z=2-3y+x^2 that lies over the triangle in the…

A: To find the value of given fds over given region.

Q: Sorry, this

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Q: If y = -x-4/3, what is 4 321/3 -1/3 01- 45 3-76 4 32-7/3 dy 2

A: y=-x-43

Q: Problem 3. Evaluate each limit. If the limit is infinite, state whether it is -∞ or +∞. If the limit…

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Q: a) Using all the letters of the word SUCCULENT, determine how many distinguishable arrangements…

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Q: Find the partial derivatives of the following functions = f(x, y) = cos(x² - 2xy+3y²) b) fx = fy=

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Q: 2. A plastic drinking cup is in the shape of an open top cylinder. The side of the cup is made from…

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Q: What is the second derivative of ƒ(g) = 12g² + 15g² +26g³?

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Q: Approximate the area under the curve over the specified interval by using the indicated number of…

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Q: J1 (x²+8)3/20 Find the length of the curve x = y²-n, 1≤ y ≤e². The given curve is rotated 8

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Q: A stone is dropped off a 784-1 cliff. The height of the stone above the ground is given by the…

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Q: 8. How many terms are in the expansion of (2x - y)¹⁰? A. 9 B. 10 C. 11 D. 12

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Q: A tank contains 100 gallons of brine holding 200 lbs of salt in the solution. Water containing 1…

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Q: sin 4x Does it exist? '. 1. Calculate lim 2. Find lim x-2 x-2 x-2 3. Find the asymptotes of - and…

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Q: What is the order of (y")^3 + 2(y)^5 = 7 · 2 0 1 O 3 O 5

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Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence…

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Q: Problem 5. An observer is positioned 3km away from a rocket launch pad. How fast is the distance…

A: This question can be solved using the concept of rate of change.

Q: Find the exact value of the following improper integral: ex L x2 dx

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Q: Find the mass of the thin bar with the given density function. 2 p(x)=x√ 16-x; for 0≤x≤3

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Q: 3. Given the signalsy₁ [n] = [-1 3 1 2 1] and y₂[n] = [−2 - 1 3 Evaluate the output for a. _Y₂[n] +…

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Q: Given: [x, y,z ] = [1,−1,5]+t [3,4,7], determine • the symmetric equations for the line • If…

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Q: Q2: Find the double integration ff (4x + 2)dydx D={(x,y):0<x<2,xẻ<y<2x}

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Q: Refer to the graph of y = f(x) = x² + x shown. a) Find the slope of the secant line joining (-4,…

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Q: (0)3-3x+2 sinh' (In x) cosh (In x) (E) sin(2x)dx dx N

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Q: Find an expression in a and b for the value of the definite integral: ∫ba [2x2 + √x + 5]dx

A: Evaluating the definite integral

Q: A person x inches tall has a pulse rate of y beats per minute, as given approximately by -1/2 y=598x…

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Q: Suppose an object moves along the y axis so that its location is y = f(x)=x² + x at time x (y is in…

A: If position vector of an object is given by  y=f(x) then(i)     Average rate of velocity…

Q: For this process we'll use the function f(x) = -x² + 6x - 7. You might find the following links…

A: Hope I answered as you required

Q: Find the angle (where 0° ≤0 ≤ 180°) between the following vectors. 0 u 9, 15 >, degrees 0 ||

A: here we have to find angle between two vector  use formula  cosθ = u*v/[u][v] [u] = 92 +(-15)2 [u] =…

Q: Eliminate the arbitrary constants of the following. Simplify your answers.  9. y = e^2x (c1cosx +…

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Q: Eliminate the arbitrary constants of the following. Simplify your answers.  8. y = c1e^x + c2xe^x +…

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Q: For the following sinusoidal function, state the transformations in words, and determine the…

A: Given data :-  f(θ)=-2sin[13(θ+π4)]+5

Q: Write the first five terms of the sequence, give the exact answer: +∞ n n+1 n=1 Determine whether…

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Q: C 5 4 3 2 1 1 1 2 3 4 5 d To find the blue shaded area above, we would calculate: ["1(z)dz = area…

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Q: 9) xdy- ydx = (x² + y ² ) ex dx a) artan. * =* b) arctan X = ţ c) auctan $ d) none of the above etc…

A: This is a problem related to differential equation. Based on the general formula and concept we will…

Q: Consider the following. f(x) = 7x − x2 If 2 subintervals (or rectangles) are used to approximate the…

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Q: Solve for C in the solution for dx/dy = xy^3/(2y^4+x^4) ; y(2)=4 Use 2 decimal places

A: Here we have to solve the given differential equation

Q: ху 2x — 9 = 0; x = -3 =

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Q: If f'(a)=, what is the slope of the line tangent to the graph of y = f(x) at the point (a, f(a))? O…

A: Given: the curve, y=fx.f'a=12