Find the derivative of arc cos 4x.

Q: Given the vector-valued functions 3t е u(t)= e-³t+e³tj - 3tk v(t)=-4ti-2t²j-4k find (u(t) v(t)) when…

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Q: O S, O 1533 S, = 2 O S₂ O S₂ = = 2. Given the following geometric series, find S. = 12+6+3+... 1533…

A: The given geometric series 12+6+3+....... We have to find the value of S9. Formula used: The sum of…

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Q: [x² 18-9x . if -1 ≤ x ≤0 if 0 < x≤ 1

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Q: Find the sum of the series: n=0 n-3 (-1)" (²) " 36 2n + 1

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Q: c-1 (-222) CSC-1

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Q: (a) Solve for x (find the exact value, do not approximate): €²x = 2 et + 24.

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Q: If f(3) = 5 and f'(x) ≥ 2 for 3 ≤ x ≤ 8, how small can f(8) possibly be? f(8) Z

A: f(3)=5f'(x)≥2    for 3≤x≤8

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Q: ck by differentiating!) (Hint: Use the properties of logarithms.) se parentheses to clearly denote…

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Q: 3. The terms of an infinite geometric series are given by 3x-4 a = 5(0.2) ³-4 Show all work to find:…

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Q: Verify the identity. cos(4x) = 1 - 8 sin²(x) + 8 sin4(x) cos(4x) = 1 2 sin²(2x) = 1 – 2 2 sin(x) · -…

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Q: dy dx Given y = 4x² + 3x, find when x= -1 and dt dy 91² M (Simplify your answer.) 4.

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Q: Find the area enclosed by the curve x = t²- 3t, y = √t and the y-axis. Step 1 The curve x = ²² - 3t,…

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Q: Find the Taylor polynomials P₁, ..., P5 centered at a=0 for f(x) = 3e-2x P₁(x) =

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Q: The plane that passes through the point (5, 4, −2) and is perpendicular to both 4x + 2z = −20 and 4x…

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Q: r(t) = (6 - 2t)i + (2t − 9)j + (9 + t)k A) T T = -3i+j+ ¹ k C) T = ²i-i-1 k B) T = -3i+j+ ¹ k D) T =…

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Q: A. Create a table (such as the one on the first page of Section 10.1, p.640) by evaluating the…

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Q: to evaluate Improper Integral Using the limit Comparision theorem. You Involves trial and process th…

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Q: Q.12 If a quadratic has a vertex at (-2,2) and passes through (-1,0), what is its equation in…

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Q: Tutorial Exercise Find or evaluate the integral. J Step 1 2-3 sin 8 The integral is · J- Since tan 0…

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Q: 10 --5 10- 5 5-7 АУ 10 X 10

A: Explanation of the answer is as follows

Q: 2. Prove that lim √√n²+1² √√² +2² 2 + √₁² + n² = ln (1 + √²) +...+ (Use the Riemann definition of…

A: To prove that,  limn→∞1n2+12+1n2+22+...+1n2+n2=ln1+2

Q: 1. Differentiate the following functions a. h(x) = cos² (sinx)

A: As per bartleby guide line we do only first part of multiple questions. given→(a)  h(x)=cos2(sinx)

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A: The given function is:f(x)=e1+x2

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Q: Find the absolute maximum and absolute minimum values of f(x, y) = y² — x² over the region S:= {(x,…

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Q: When an apple orchard plants 44 trees per acre, each tree yeilds an average of 310 apples per month.…

A: Given: When an apple orchard plants 44 trees per​acre, each tree yields an average of 310 apples per…

Q: knowing that evaluate the + Š 2+1 x 2²-3x-4 X-4 2x000 Improper Integral √²₂² 2²-33-4 elx

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Q: The radius of a circular disk is given as 28 cm with a maximum error in measurement of 0.2 cm. Use…

A: The radius of a circular disk is given as 28 cm with a maximum error in  measurement of 0.2 cm. (i)…

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Q: 3.7) K In order to yield the maximum profit of $. (Simplify your answers. Round to the nearest cent…

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Q: 1 cot-¹(-√3)

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Q: Problem 1: Find the Fourier series for the function f(x) = x on the interval [-^,^].

A: The given function is: f(x)=x ;          on the interval -π, π

Q: 2. Determine if g(x) = is differentiable at x = 1. 1 2x + 1 if x ≥ 1 2' √2-x, if x < 1

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Q: The temperature at a point (x, y, z) is given by T(x, y, z) = 100e-x² - 3y² - 7z² where T is…

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Q: For what values of t and s does the equality hold true? (− (t+2), 2s + 4t) t = At these values, the…

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Q: e equation of a tine that goes through the point (-18,9) and is perpendicular to the line.…

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Q: The temperature at a point (x, y, z) is given by T(x, y, z)= 100e-x² - 3y² - 7z2 where T is measured…

A: Given: Tx,y,z=100e-x2-3y2-7z2  , T in °C; x,y,z in metersAim: To find the rate of change of…

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Q: Determine the area of the region bounded by the curves y = x² and y = 2x + 3. Sketch the curves, s

A: The region bounded by the curves y=x2 and y=2x+3 Interesection point…

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A: A circle defined parametrically takes the form: x=r cos(t)+h y=r sin(t) +k

Q: a) Spe=2n b) 211n (21)

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Q: (b.) Use the definition of a definite integral (with right endpoints) to calculate the value of the…

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