If F(x) a. F'(1) L √4t - t² dt, evaluate the following: x² b. F(2), by interpreting F(2) as an area

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A: Please see the answer below.

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A: We have to find the symmetric equation of the line through point (1,-2,-4) which is orthogonal to…

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Q: I. Determine the convergence of each of the following series using the indicated test. In number 4,…

A: The given series   ∑n=1∞(-1)nn+3

Q: Please graph the function of D(t)= 28sin(360/365 t - 1.4)

A: Let's graph the given function.

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Q: Solve the differential equations i 4. y' + (tan x) y = cos²x, 8. e² y' + 2e² y = 2x

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Q: Question 138 of 190 FINAL-Mathematics Temperatures in degrees Celsius (C) may be changed to degrees…

A: A detailed solution is given below.

Q: What is the component form of a vector with a magnitude of 17 and a direction of 125°?

A: To find the component form of the vector whose magnitude and direction are given.

Q: Given Cost and Price (demand) functions C(q) = 110q+40000 and p(q) = -2.6q + 800, what is the…

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Q: The concentration of a drug in a patient's bloodstream is given by the function C'(t) = 0.15t…

A: Explained below

Q: Help

A: Please refer to the image below

Q: The height of the ball when its velocity is 0 ft/sec. is feet.

A: First, we will find the velocity of the ball at t second. Then we will find the value of t for which…

Q: True

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Q: Find the directional derivative of the function f(x, y) = √√√x + 2y at the point (2, 1) in the…

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Q: Solve the following matrix equation for a, b, c, and d. a-b b + c |-|8 8 3 88 3d+c 2a - 4d a = b =…

A: We will find the value of a ,b ,c ,d by solving the given matrix equation in the following step.

Q: f(x) = 4√√x + 2x¹/2 - 8x-7/8 +x². f(x) +2 1 x3 = ²325/2 - 2x³/2+1/32²³- x³ - 2x² + x −1. 9

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Q: Evaluate the following limit lim (3¹6) (²-√²+₂) Ꮳ X-4 -64 Show all your work. Warning: You will get…

A: Limits

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Q: 4 -dx converges or diverges, and find the value if it converges. Determine whether the improper…

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Q: A bacteria culture initially contains 1000 bacteria and is growing at the rate of N' (t) = 2tt-2/3…

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Q: x = 1. 2. Find the derivative of f(x) = 3x² - 5x at x = 1 using the formula f'(x) = lim f(x)-f(xo)…

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Q: Let T : R² ⇒ R³ be a linear transformation such that T([ 1 ]) = = 8 [][]) ([ 13 0 What is T -1 and T…

A: Concept: A linear transformation is a feature from one functional area to some other that takes into…

Q: 2)dy - ydx = 0 (x + y cot ) dy

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Q: 2. Use the graphs of y=f(x) and y= g(x) to sketch the graph of y=h(x). Hint: Estimate the function…

A: answer is in next step.

Q: 1. A farmer wants to fence in a field and divide it into four side by side, equal areas. If he wants…

A: From the given data And, xy=8000&f(x,y)=2x+5y is the parimeter to minimize.

Q: 8 9 - 4e²™ dx Please approach doing this integral by hand with the following steps: First, make a…

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Q: After t months on the job, a postal worker can sort L(t) = 700 – 400e−0.5ť letters per hour.…

A: answer is in next step .

Q: Convert each degree measure to radian measure as a multiple of . Do not use a calculator. (a) 135°…

A: We know that for converting degree to radian , we multiply by factor π180° Therefore

Q: Solve for the area bounded by the graphs of y = √√x + 2, y = x + 2, x = 2, x = 4

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Q: Given that R' (t) = 2ti — 2j + 3t² k and R(2) = i + j — k, then R(t) =

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

Q: Use the power series 1 = Σ( Σ(-1)-1-1, x +1 n=1 to find a power series, centered at 0, of the…

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Q: Help

A: We will solve the problem

Q: What is the y=x^2 - 4 and O 1/4 O 1/2 01 03/2 Ο ΝΑ x-coordinate of the centroid of the plane region…

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Q: (d) Use the given information to write an Lauation that relates the variables x and y.

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Q: Find symmetric equations for the line through the point (1, -2, -4) which is orthogonal to the plane…

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Q: Use the chain rule to find, where First the pieces: End result (in terms of just t): dz = dt 江 西 | z…

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Q: IVICCE dy Find from the following equations dx Problem (iii) x³ + xy = 0

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Q: evaluate lim x →0 sin x-x 3 x

A: Given, limx->0 (sin x -x)/x³ SInce we have a indeterminate form, Applying l'Hoptials rule we…

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A: Given.

Q: = ²/²/² ( e ² + e^²^²) 3. Obtain the Maclaurin series for cosh x using the fact that cosh x =

A: Given the function,   cosh x=12ex+e-x

Q: Find the linear approximation of the function g(x) = 1 + x at a = 0. g(x) * Use it to approximate…

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