ad all values of x For w/c the graph of f lies above the graph of. f(x) = 49x; g(x) = 1

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A: Just I have used the quotient rule of derivative by taking derivative of given function two times…

Q: 4. Given that '(t) = (6t², 2t + 4) and that (2) = (2, 8), find r(t), where we are assuming that the…

A: We have to find the r(t)

Q: Find all solutions of the equation in the interval [0, 21). COS +1=0 2x 3 Write your answer in…

A: This is a problem related to trigonometric identity. Based on the given interval and function…

Q: 2. Write the given (total) area as an integral. a. The area above the x - axis and below y=4-x² b.…

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Q: Evaluate Limit= Hint: Use the power series expansion of cos(x). lim cos(x) − 1 + ²/ 14x4

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Q: Find the horizontal and vertical asymptotes of the curve. 8 + x4 у x²x4

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Q: ∫x2(x3-1)11dx

A: Given, ∫x2(x3-1)11dx We can solve it by substitution method

Q: α 4" n=2 5n!

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Q: d d Calculate[ri(t) - r2(t)] and[ri(t) x r2(t)] first by differentiating dt the product directly and…

A: Let's find.

Q: f(x) = 3x²+x+7. Approximate fo trapezoids. O a. 60 Ob. 44 Oc. 30 Od. 22 f(x)dx using the trapezoidal…

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Q: Solve the right triangle using the information given. Round answers to two decimal places, if…

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Q: Use algebraic and/or graphical methods to solve the inequality. 91 - 13x > 13 X

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Q: 1/2 1. y = {4x - 32 d y 3 dx 3

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Q: A large tank is partially filled with 400 L of fluid in which 5 kg of salt is dissolved. Brine…

A: The number of kilograms of salt in the tank after 30 minutes is 133.18 kg.

Q: J 2x - 11 dx 2 x²+x-6

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Q: Consider the surface of equation z = x2 + y² . What is the equation for the tangent line to S at the…

A: We need to find equation of tangent line.

Q: ∫((e3x)/(5+2e3x))dx

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Q: F8 Part 1 of 7 O Show that the differential form in the integral is exact. Then evaluate the…

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Q: The amount of trash, in tons per year, produced by a town has been growing linearly, and is…

A: Solution: Given the amount of trash in tons per year is given by P(t)=52+2t

Q: Let be an angle in quadrant IV such that cos 0 = 5 Find the exact values of csc and cote. csc 10 ?…

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Q: Points A and B are separated by a lake. To find the distance between them, a surveyor locates a…

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Q: 1 sin(x) and cot(x) = is a constant number. Recall that csc(x) = 3 cot(x) The ratio dx csc² (x) (Use…

A: Explanation of the answer is as follows

Q: tion decomposition...

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Q: A Ferris wheel at a carnival has a radius of 27 feet. Suppose a passenger is traveling at 9 miles…

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Q: In a shop, the revenue and the cost of a product are determined by R(x)=22x and C(x)=2x²+2x+1,…

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Q: Using trigonometric substitution to evaluate: The first thing we'll need to do here is complete the…

A: Here, we just need the complete square for the factor in the denominator (40-6z-z2)

Q: rocket is launched from the ground at an angle of 0.65 radians, and the rocket travels in a straight…

A: Given query is to find the height of the rocket.

Q: Find the absolute extrema if they exist, as well as all values of x where they occur, for the…

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Q: Using trigonometric substitution to evaluate * ,5x³√9-x² dx 243 243 45 - 15 (1-x²) ³² + C 243 5 ² (1…

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Q: Suppose that is an angle in standard position whose terminal side intersects the unit circle at Find…

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Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

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Q: Determine whether the infinite geometric series is convergent or divergent. If it is convergent,…

A: The given geometric series :35+925+27125+...The geometric series can be written as:an=3535n-1 where…

Q: Sketch a graph that possesses the characteristics listed below. f is increasing and concave up on…

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Q: Let be an angle in quadrant III such that cos 0 = - Find the exact values of csc and cot 0. 0./6 csc…

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Q: Find the vertical and horizontal asymptotes of f(x)=x+ sinx (A) x = 0, y = 0 B x = 1, no vertical…

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Q: Determine whether the ordered pair is a solution of the system. 6) 5x-7y=-21; (7,8) 4x +9y=97

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Q: Fully condense the following logarithmic expression into a single logarithm. 4 ln (2) + 3 In (3) - 4…

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Q: 9. (a) This is true. (b) This is false. 5 dx = 5x + C

A: topic - indefinite integral

Q: The lengths of the edges of a cube are increasing at a rate of 1 ft/min. At what rate is the surface…

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Q: Find all exact solutions on the interval 0 ≤ 0 < 2T. 4 cos(8) = 2 8 www

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Q: 46. yz = ln(x + z)

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Q: A "bead" is formed by removing a cylinder of radius r from the center of a sphere of radius R (see…

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Q: Example 8 Video Example If it is known that + f²³f(x) dx dx = 12 and Solution By the property of…

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Q: er the following rational function. x-3 f(x): = 3x² + 5x - 2 of 3: Find the vertical asymptote(s),…

A: Topic:- function

Q: 49-50 Find az/ax and əz/ay. 49. (a) z = f(x) + g(y) 50. (a) z = f(x) g(y) (c) z = f(x/y) (b) z = f(x…

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Q: Evaluate the vector-valued function at each given value of t. (If an answer does not exist, enter DN…

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Q: Find 3 for 2 = In (xº dx Provide your answer below: +y¹).

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Q: Identify the open intervals on which the function is increasing or decreasing. g(x) = x² - 4x - 192…

A: The given function,   gx=x2-4x-192

Q: Let f(x) = x² - 1 on [-2, 3], Part A: What is the slope of the secant line connecting the function…

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Q: 1- Evaluate the following limits, if they exist. If they do not exist, state why.! lim f(x), where…

A: Given the query is to find the limit of the expression.