Find the area of the triangle with vertices P(1,4, −6), Q(0, 0, 0) and R(2, 4, 1). NOTE: Enter the exact answer. A =

Q: h h •Question 1: Goal Find Derivative don't use quotient rul 8 (5x+2) '

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Q: Use cylindrical shells to find the volume of the solid obtained by rotating the region bounded by y…

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Q: R is the region bounded by the functions f(x) = 1 + x² and the g(x) = x - 2 and the lines x=2 and…

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Q: and the point of inflection of the graph of th x xXx)=2sin- 8 on the interval (0, 167). lect one: a.…

A: Topic:- calculus        Definition:- Inflection points are points where the function changes…

Q: f'(2). f(x) = f* (2t - 3) dt

A: Topic:- application of derivatives and integration

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Q: Find the derivative of the function r = sin(0³) cos(30). dr do ||

A: Here we have r=sin(θ3)cos3θ ...................................... (1)  Differentiate with respect…

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Q: Given f(-19) = -17, g(19) = 13, f'(19) = questions below: a) k(x) = 8f(x) - 4g(x) k'(-19) = b) k(x)…

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Q: Use cylindrical shells to find the volume of the solid formed by rotating area bounded by the gra…

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Q: Tablet Service A monthly tablet plan costs $34.99. Itincludes 3 gigabytes of data and charges $15…

A: Given data:- The given monthly plan cost is $34.99  The given includes 3 gigabytes of data and…

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Q: 6. Evaluate: secº (1/x) tan³ (1/x) dx x² | se

A: This question can be solved using integration by substitution.

Q: the family of solution of the equation (x-2y)dx+(2x+y)dy=0.

A: We will find the required.

Q: Find by implicit differentiation. dy dx dy dx x sin(y) = y cos(x)

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Q: Since this response is wrong perhaps somebody would like to review it and help me find the correct…

A: There was just a calculation error in the given answer.going by non differential method to yields us…

Q: Use cylindrical shells to find the volume of the solid generated when the region enclosed by the…

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Q: Use cylindrical shells to find the volume of the solid formed by rotating area bounded by the graph…

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Q: II. Evaluate [a² cos 3x dr.

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Q: A boy owns 7 pairs of pants, 1 shirts, 4 ties, and 8 jackets. How many different outfits can he wear…

A: Given query is to find the number of different outfits he can wear to school.

Q: a)-7y=sen (2x) dx

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Let a and b be real numbers. Consider the function y = f(x) = 1x² ax+b For which values of a and b,…

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Q: Use the shell method to write and evaluate the definite integral that represents the volume of the…

A: Let's find volume by using shell method.

Q: xdx x² - 4x (x+2XX-2

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Q: Find the directional derivative of f(x, y) = direction of Q(2, −2). NOTE: Enter the exact answer.…

A: Solution

Q: A solid is generated by revolving the region bounded by the following about the y-axis. y = x² y = 8…

A: Note: Since the student has not mentioned up to how many place, the final answer to be rounded off.…

Q: Determine whether Rolle's Theorem can be applied to the function f(x) = (x+3)(x + 2)² on the closed…

A: Given that the function is         f(x) = (x+3)(x+2)2

Q: How many 3-letter words can be made from the letters WASTEFUL if repetition of letters is allowed?…

A: Topic- Permutation and combinations We are given a word WASTEFUL.

Q: man with $30,000 to invest decides to diversify his investments by placing 15,000 in an account that…

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Q: Determine the time intervals when the train is slowing down or speeding up. The train is speeding up…

A: Given query is to find the interval where train speeding up and speeding Down.

Q: If an object is dropped near the surface of Mars, then the distance d. in meters, that it will fall…

A: Please see the below picture for detailed solution.

Q: wrong answer. please provide right answer

A: Note:- These are multiple questions and according to company guideline we can do maximum 1 question…

Q: Find the points on the cone 2² = x² + y² that are closest to the point (4, -1, 0). Please show your…

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Q: Find y' by (a) applying the Product Rule and (b) multiplying the factors to produce a sum of simpler…

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Q: A circular oil slick is expanding with radius, r in feet, at time t in hours given by r = 12t -…

A: Concept: The radius of the circular oil slick is r The area of the circular slick is  A=πr2

Q: Using the definition, calculate the derivative of the function. Then find the values of the…

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Q: A computer password is required to be 8 characters long. How many passwords are possible if the…

A: Solution: A computer password is required to be  8 characters long. The password is in the form :  1…

Q: sketch the graph of each function. Be sure to label three points on the graph.   f1x2 = 3

A: Concept Used: Graphing Substituting values to x and y  in the functionfx , the intercept points can…

Q: Find all the critical numbers of f(x) = 2x4–4x³+3x² - 7.

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Q: 167. Evaluate the integral dx √₁-x² using two different substitutions. First, let x = cose and…

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Q: Use the Binomial Theorem to expand the binomial (a + 2b)6 and express the result in simplified form.

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Q: Given f(x) = = g(x) = = cot x 1- CSC a 3 then f'(x) = CSC X . 1 – g(x) ´ Find g(x).

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Q: Use a linear approximation to approximate 2.001° as follows: The linearization L(x) to f(x) = x³ at…

A: L(x)≈f(a)+f'(a)(x−a)  We have f(x)=x6 and a=2

Q: Evaluate the definite integral. 2 2 sec-¹(x) 2 x √ x ². 1 dx

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Q: Let s(t) = -8-7 sint where s represents the position (displacement), at time t, of an object moving…

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Q: Use a graphing utility to graph the function and find the absolute extrema of the function on the…

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Q: Find the absolute extrema of the function on the closed interval. f(x) = 6 - x, [-2, 4] minimum (x,…

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Q: Find the linear approximation of f(x)=√x when x = 81. 1 108 O L(x)=3+ -(x-81) OL(x)=81+ 1 108…

A: We have given function  fx=x4 Put x=81 f81=814=344=3 Linear approximation at x=a is given as…

Q: Use cylindrical shells to find the volume of the solid generated when the region enclosed by the…

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Q: Suppose that the height of a particle is given by s(t) = t³ - 17t + 41, t≥ 0, where t is measured i…

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