A. Using chain rule find the derivative of the following functions. 1) f(x) = (x³ + 3x²) 200 2) f(x) = sin(4x) 3) f(x) = csc sc (1)

Q: ∞ -1. Σ(-1)" n=1 n! 2"

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Q: i-2yj + (z+3)k and suppose the outward flux of F through Side A is 1 and through Side B is -3. Can…

A: answer is in next step

Q: Use one of the following three formulas for the area of the region enclosed by C 1 fxdy = f - ydx =…

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Q: A 10-ft ladder is leaning against a house on flat ground. The house is to the left of the ladder.…

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Q: 6 Select the conic section represented by the equation. 5x 2 + 5y 2 = 0 point hyperbola  line…

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Q: Find all solutions in [0, 2π): 2 sin (x) - sin (2x) = 0: 4.8 00, π R/+ 4

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Q: 42. If g(0) = 0 sin 0, find g"(π/6).

A: Solve the given

Q: Let f(x)=√18 x. Compute f'(2) using the limit definition f'(2) = Find an equation of the tangent…

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Q: Use power series operations to find the Taylor series at x = 0 for the given function. f(x) = x = x…

A: Use power series of exponential function to find the right answer.

Q: Let f(x) = (7x² + 6x +9)/(3 - 4x²). The horizontal asymptote is given by y = ? Round your answer to…

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Q: 2. Use the following partial graph of f(x) to answer the next question. f (x)' 10. The value of (f…

A: First we find f(x). Here f(x) is straight line which are passing through the point (4,0) and (0,6).…

Q: For a person at rest, the velocity v (in liters per second) of air flow into and out of the lungs…

A: Explained below

Q: 1 dx x+1 1

A: Evaluate improper integral

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Q: Determine the absolute maximum and minimum values of the function f(x) = x'e* on the interval -1<x<…

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Q: Evaluate the integral. (y – 2)(2y + 1) dy Jo |

A: ∫xndx=xn+1n+1+C ∫1dx=x+c

Q: Solve [2*+2³ = 10 4* +4 = 68

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Q: the curve x=l-5¢, y=4€²-1 (0=ts) lengin find the arcC kngth of the curve x=1-. (ux calculator to…

A: This question is based on length of a parametric curve calculated using definite integral.

Q: Click an item in the list or group of pictures at the bottom of the problem and, holding the button…

A: Given problem:-

Q: 3) Find a vector equation and parametric equations for the line segment that joins (-2, 4, 0) to…

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Q: Find the area (in square units) of the region under the graph of the function f on the interval [0,…

A: Given fx=10 ex on the interval 0,3 The formula to calculate the area under the graph y=g(x) on the…

Q: f(x) = -x² + +9 square units

A: Given the query is to the area bounded by the curve.

Q: Consider the vectors. (5, -8), (-4,1) (a) Find the dot product of the two vectors. -28 (b) Find the…

A: Given problem:- Consider the vectors.   &lt;5, -8&gt;, &lt;-4,1&gt;   (a) Find the dot product of…

Q: TOPIC: OPTIMIZATION IN DERIVATIVES Directions: Read and analyze each problem carefully and solve for…

A: Volume

Q: where t € [0, 1]. x = cost, y = sint-t,

A: Here we will find the equation of tangent and length of curve P,

Q: The following is a graph of y = f(x) A= (0,8) You Select the correct graph for the following…

A: We have to find out the graph

Q: Let f (x, y, z) be a function such that : (i) the function f (x, y, z) decreases most rapidly at the…

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Q: Postal regulations require that for a rectangular package with a square base, the perimeter of the…

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Q: Find the y- coordinate of the Centroid of the planar region described by x² + y² ≤ 9π², y ≥ 0. Enter…

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Q: Evaluate fff 12y - 8x dV wherein the limits of integration are the region behind y = 10-2z and in…

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Q: Problem 2. Do both parts. 8 Part (a) Find the sum: 12 4 + +· 3 9 27 81 Part (b) Solve the equation…

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Q: Rewrite cos(t+π/3) in terms of sin(t) and cos(t).

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Q: c) Period d) f(990°)

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Q: In 2000, the population of a city was 76,000. The population had grown to 111,000 by 2011. If the…

A: We have to find the year.

Q: A-28. 3. |A| = 3, B = 8, and the angle formed by A and B is 45°. Determine A - 2B

A: We have to solve above question

Q: 3. Evaluate the double integral: ²₂2(x+3) dy dx 4. Evaluate the triple integral: ₂ dx dy dz Z

A: Topic:- multiple integration

Q: 304² 3x Evaluate dx dy, by first Reversing the order of integrals. √36 + x3 Enter an integer or a…

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Q: 2 Evaluate thefallowing cartesian integrats by - changing theminteequivalent Palar integralse 4- to…

A: Solving

Q: Current Attempt in Progress Evaluate the definite integral. e i + e='j+t k )dt

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Q: For what values of x does the series converge conditionally? 5x Σ n! n=1 1 O A. x= -7 5 OB. X=0 1…

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Q: 2. Let f(x)=x-3x² a. Determine all x-values where f(x)=0 b. Fill in the table below with the…

A: This question can be solved using the concept of points of inflection.

Q: Find the dimensions of the rectangle of largest area that has its base on the x-axis and its other…

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Q: The velocity of a particle in space at time t is given by(t) = 2t² i + 2t k Find the distance…

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Q: dy = -3, dt If z² = x³ + y², dx dt Please give an exact answer. Provide your answer below: dz = 2,…

A: We can solve as follows

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) dt…

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Q: Find an approximation of the area of the region t under the graph of f by computing the Riemann sum…

A: We have to find the area.

Q: Consider the following. Let u = 4x³ - 1. Find du. du = dx Indicate how the limits of integration…

A: The given definite integral,          ∫01x24x3-14dx

Q: Find the derivative of the following function. (Do Not Simplify Your Answer After You Evaluate The…

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Q: The Haycock formula for approximating the surface area S, in square meters (m²), of a human is given…

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