Let f(x)=√4x² + 4x + 2 f'(x) = f'(4) = (round to 3 decimal places)

Q: A quadratic function fis given. f(x) = x² + 6x (a) Express fin standard form. f(x) = x (x + 6) (b)…

A: GivenQuadratic function f(x)=x2+6x We need to finda. Standard form of fb. Vertex of f, x intercepts…

Q: A particle moves along the x-axis so that its position at time 0 < t < 18 is given by x(t), whose…

A: Here position of particle represents by xt Then x't is velocity/speed of particle  so particle speed…

Q: 113 It is known that function f is an increasing function that satisfies f(1) = -3 and f'(1) = 3.…

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Q: 12/7 2-x +5x dx

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Q: Need Help? m/min. Read It Watch It Master It

A: Topic:- application of derivatives

Q: Consider the function f(x) = 1 − 6x², − 5 ≤ x ≤ 2. The absolute maximum value is and this occurs at…

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Q: f(x)=x²+2x-6 has an inverse g(x).. 1 ƒ'(g(x)) Use g '(x)= g'(-6)= 110 to find g '(-6).

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Q: What initial investment at 8.5% compounded semiannually for 3 years will accumulate to $15,000?…

A: Let $P amount be invested at r% interest rate compounded semi annually then after t years it will be…

Q: f(x) = 5x³ + 6x - + Use g '(x) = g'(−2)= 6x-2 has an inverse g(x). 1 ƒ'(g(x)) to find g '(-2).

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Q: Determine the area of the region bounded by two the curves f(x) = 2²-26z+72 and g(x)= 13z +36.

A: To find the area of the region bounded by the two curves.

Q: sec²0-tan²0+ tan0 sec = sine + cos 0

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Q: 9 Find the with a area of the parallelogram Verticles vertices; PC0,0,0), QC3₁=3₁-9), R (3₁-1₁-²5)…

A: I am attaching image so that you understand each and every step.

Q: the Wa Salve the... Following.. ......3x³6xy Ax (3x²+2 y.).dy. =a ... ... ... ... ..x 2y.). dy...…

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Q: Find the derivative of the function. -0 f'(x) = f(x) = (2x - 5) 4(x² + x + 1)5 x

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Q: wrong answer

A: The given differential equation is; x2y"+5xy'+13y=0, y(1)=4, y'(1)=1

Q: 2² +2²³ +2²+1 dz dx x²+x-2 1+²+

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Q: Find the points on the curve y = x³ + 3x² - 9x + 9 where the tangent is horizontal. (x, y) = smaller…

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Q: A homogeneous function is one such that f(tx, ty) = ta f(x, y) for some a. (a) Show that f(x, y) =…

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Q: Find the partial derivatives of the function fz(x, y) fy(x, y) f(x,y) 8x - 7y 1x + 6y

A: To find partial derivatives,

Q: 17. sin(x²y²) = x

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Q: 2. Given r(t) = (2, e³t-3, 6t+2) with r(1) = (2, 1, 7) and r'(1) = (2,0, 5), find r(t).

A: The objective is to find r(t).

Q: A particle moves along the x-axis so that at time t 0 its velocity is given by v(t) = 6t² – 24t +…

A: Given : vt=6t2-24t+18 we know that when particle is moving to right v(t) &gt; 0

Q: Find the half-life of a radioactive substance if 220 grams of the substance decays to 190 grams in 5…

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Q: Y = -3° +10 the graph can be obtained from =3x,

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Q: use the appropriate compound interest formula to find the amount that will be in each account, given…

A: NOTE: Refresh your page if you can't see any equations. . P=27500 (invested amount) r=3.65%=0.0365…

Q: (бх+34)

A: The given expression is 8x+3410. Formula used: Binomial expansion formula is :…

Q: In an extensive study of cost functions for 40 firms in Great Britain, it was found that if x is the…

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Q: Find the inverse Laplace transform L¯¹{F(s)} of the function 2 F(s) = s² + 5s 6 NOTE: The answer…

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Q: f(x,y,z) = 4x5+2xy-4z4 f(x.V.Z) =

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Q: Find the derivative y'(x) implicitly for the equation y' (x)= 4-2y 4x +3 y 2x + 1³.

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Q: The radioactive isotope thorium 234 has a half-life of approximately 578 hours. (a) If a sample has…

A: Given is the question of radioactive decomposition.

Q: 100 Determine, with full justification, if $19 da converges.

A: We have to find the following conditions according to the given information

Q: Find the equation of the line tangent to the curve 8x4 + 8y² = 16 at the point (1, 1).

A: To find the equation of the line tangent to the curve 8x4+8y2=16 at the point 1, 1.

Q: Round your final answer to four decimal places. Use linear approximation to estimate the quantity…

A: We knowLinear approximation Lx≈fa+f'ax-a

Q: Find a formula for the general term a, of the sequence, assuming that the pattern of the first few…

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Q: Find the inverse Laplace transform L¯¹{F(s)} of the given function. 2s + 12 s² + 12s +85 F(s) :…

A: Topic = Laplace transform

Q: Let f(x) = 4 sec (3x) f'(x) =

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Q: ey = 25e4x-z+w 10z - w + 3x = -23 8y + 3w - x -z = 5 x+y-z + 4w = -10

A: The objective is to rearrange the  equations so that their associated matrix is ​​diagonally…

Q: Find the point of inflection of the graph of the function. F(x)= x+9 cos x , [0,2pi] and describe…

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Q: Find the inverse Laplace transform L-¹{F(s)} of the given function. 12 s² + 16 Your answer should be…

A: To find the inverse Laplace transform L-1Fs of the given function.Fs=12s2+16

Q: Use a system of linear equations with two variables and two equations to solve. 180 students…

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Q: Using the same graph of f(x), what is lim f(x)? X→ 4 AN 2 3 -1- -2+ 4 1 doesn't exist

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Q: d²y (2) Check that y = sint satisfies the differential equation dt2

A: We have to solve

Q: Consider the following infinite series. Complete parts (a) through (c). 2 13K-1 Σ k=13k a. Find the…

A: Given data, ∑k=1∞32k-1

Q: Let f(x)=-4x-1 and g(x)=x²-2 Find f(g(6)). f(g(6)) -

A: Please see the below picture for detailed solution.

Q: Give your final answer in interval notation. Find (by hand) the intervals where the function…

A: The given function y=x3-48x+1 We have to find its increasing and decreasing intervals.

Q: A bacteria culture started with 8500 bacteria and increased by 35% in the first 2 hours. (a) Find…

A: Let Q(t) be number of bacteria at time t ⇒Q0=8500 initial number of bacteria

Q: The function f(x) = 2x³ − 33x² + 168x + 7 has one local minimum and one local maximum. Use a graph…

A: Topic - local maximum and minimum value of a function. note: as per battleby guidelines, We are…

Q: Solve the equation. (Give an exact answer. Do not round.) 52-8- 2x-7 6 x= 41/3 X

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Q: Use the graph to locate the absolute extrema (if they exist) of the function on the given interval.…

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