Q3: a\ A triangle whose vertices are A = (-1,0), B = (2, 1), and C = (1, -2), find:

Q: Use logarithmic differentation to find the derivative of the function. y=square root (x-3/x6+5)…

A: We can find the derivative of the given function by using the logarithmic differentiation. log (xa)…

Q: Evaluate ľºm vy I 1-x² x² + y² dydx.

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Q: 2. Set up the triple integral to find the volume inside x² + y² = 9, above z = 0, and below x+z = 4.…

A: Solution is given below:

Q: did i type this in right?

A: Yes you need to type 3t2+6 in the box.

Q: QUESTION 8 1 POINT A small town in Massachusetts commissioned a study to find the rate of change of…

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Q: Find the partial derivative Əz Əx for the function z = 8y²√x.

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Q: Hello! Can I get help answering question #2. Please show all work as well. Thanks.

A: Topic:- definite integration

Q: A kite 100 ft above the ground moves horizontally at a speed of 6 ft/s. At what rate (in rad/s) is…

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Q: Find L{f(t)}. (Write your answer as a function of s.) f(t) (8, 10, L{f(t)} = = 0 4 (s > 0)

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Q: A store's sales on day x are given by the function S(x) below. Find the average sales during the…

A: We have to find the average value

Q: 8. Estimate the value of x³dx by using the Trapezoidal Rule with n = 4. 8 19 22 36

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Q: For the sequence, determine if the divergence test applies and either state that lim n→∞ an does not…

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Q: A quarterback is standing on the football field preparing to throw a pass. His receiver is standing…

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Q: Now integrate and simplify V = 2π 2x (64 V = 2π = 2π 16 = 2x [64. = 2π 3 4096 3 2 -√³ (8 2048 X T (8…

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Q: Caffeine occurs naturally in a variety of food products such as coffee, tea, and chocolate. The…

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Q: B. By choosing the appropriate point/s, solve for the root using Bisection, Newton Raphson, and…

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Q: The given family of functions is the general solution of the differential equation on the indicated…

A: The objective of the question is determine the particular solution of the given differential…

Q: box the final answer

A: This question is related to error in area of triangle, we will solve it using given information.

Q: H.w3: Used Newton-Raphson method to find solution accurate to with in 105 for the following…

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Q: Evaluate the following iterated in -1 1 075 (3x+y)dy dx

A: Topic:- application of integration

Q: Find the derivative of the function. 7 ²+8t-8 s' (t) = s(t) Submit Answer

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Q: Use Green's Theorem to evaluate the integral (v-x) dx + (2x−y)dy for the path C. boundary of the…

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Q: Find the amount accumulated FV in the given annuity account. (Assume end-of-period deposits and…

A: Let's find amount of accumulated FV.

Q: Set up a triple integral for the volume of the solid bounded by z = 7-x²-y² and z=0 O O -√7 -√7-x²-0…

A: To set up the triple integral to find the volume of solid bounded  by given curves.

Q: 6). For an as follows, write the sum        an as a geometric series. a1 =  1 18 and  an an + 1 =…

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Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

A: Answer of the above differential equation is

Q: 7 A 4-pound weight stretches a spring 2 feet. The weight is released from rest 20 inches above the…

A: We need to solve differential equation.

Q: Use the model A = Pet or A = P1+ for years. If a couple has $50,000 in a retirement account, how…

A: Please see the below picture for detailed solution.

Q: Find the absolute extrema of the function on the closed interval. f(x)= 3x²+2, [1, 2] 0,2 minimum…

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Q: Question 1 Determine if the function below is continuous at x=9. Give reasons for your answer. F(x)…

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Q: Study the diagram below, and write the parametric equation of the dotted line. (V₁, V₂, V3), (V₁,…

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Q: Determine whether the Mean Value theorem can be applied to f on the closed interval [a, b]. (Select…

A: topic- mean value theorem

Q: Taking 2 cm to represent 1 unit on the y axis draw the graapfof y=4x-x^3 for the range -2.5

A: We need to draw graph.

Q: Solve for the roots   4x2-5x-2

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Q: Find the volume of the solid generated by revolving the shaded region about the x-axis. 0- 0 3x + 4y…

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Q: Question 5 Solve the following for f(x)=x² - 2x + 1 at point (-2,-1) (i) ii) Find the slope of the…

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Q: 6. Which of the following differential equations is consistent with the following slope field? O O…

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Q: For the function f(x) = 21² + 1, it is given that 3 f(x) dx = 21. At what value C does the function…

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Q: The demand function for a certain product is given by D(p) = O A. D'(p) = OB. D'(p) = 2,055 +198p…

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Q: Find given that dt x² + y² = 2x+4y, x = 3 y = 1, and dy dt i dx dt

A: SOLUTION-

Q: can be solved using x² + 4 1. Integration Leading to Inverse Trigonometric Function/Ad II.…

A: The Solution is given below

Q: In a psychology experiment, the time t, in seconds, that it takes a rat to learn its way through a…

A: The given function is f(t)=0.03e-0.03t The probability that a rat will learn its way through a maze…

Q: Find the second derivative of the function. f(x) = x cos(x) f"(x) =

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Q: f(x)=x²-2x - 15 =( =( ) (smaller x-value) ) (larger x-value) value of x such that f(x) = 0.

A: Topic:- algebra and derivatives

Q: Determine the interval(s) on which the vector-valued function is continuous. (Enter your answer…

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Q: Which of the following is not an antiderivative of the function f(0) = sin cose? 1 A. sin26+/2…

A: I am attaching image so that you understand each and every step.

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) 1. (²4. -9CK) lim + sin(4t)…

A: Given, limt→ 0e7ti+sin4t4tj+e-9tk

Q: 5). Use the Integral Test to determine whether the infinite series is convergent.   ∞ 7n (n2 +…

A: Let's find series converges or diverges by integral test.

Q: Sketch the plane curve. r(t) = 2ti - tj, [0, 2] -1 -1 y 2 1 -1 -2 y 1 -1 -2F 1 Need Help? Watch It…

A: The objective of the question sketch the given curve and determine its length.

Q: Find the differential dy of the given function. dy sec x x² +9

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