Integral Calculus (Upvote will be given. Please write the complete solutions with GRAPH/DIAGRAM legibly. Box the final answer.)

Q: You are testing the claim that the proportion of men who own cats is smaller than the proportion of…

A: Total people= 100+60=160

Q: Given four points P(-1,t), Q(4,-3), R(0,1) and S(2t,-3): If PQ ⊥ (perpendicular to) RS, find t.

A: P(-1,t), Q(4,-3), R(0,1) and S(2t,-3)concept : let two points P( x1, y1) & Q( x2, y2 ) then PQ =…

Q: Given an interest rate of 5.5% compounded daily (ie: compounded on each calendar day), determine the…

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Q: A company wants to use data thas collected to predict customer satisfaction (as a percentage) based…

A: Please see the below answer.

Q: - 2xy³ + y² + (xy³ – 2y)y' = 0

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Q: Let z(x, y) = xe² where x = dx dy dz dt by first finding & and using the chain rule. dt dt Calculate…

A: Given query is to find indicated derivative.

Q: answers to three decimal places. Find the critical numbers of the function f(x)=-3x5 + 15x¹ +25³ +4…

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Q: An open-top rectangular box is being constructed to hold a volume of 300 in³. The base of the box is…

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Q: Suppose f(x) is continuous on [4, 6] and −4 ≤ f'(x) ≤ 3 for all x in (4, 6). Use the Mean Value…

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Q: Let f(x, y) = x² + 2y¹ + 40xy. List the critical points: The critical point at the origin is a…

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Q: The series converges. Σ 2( − 1) 1.1-0.2/k○ diverges k=0

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Q: Given four points A(-6,-5), B(4,b), D(5,5) and E(3,7). The straight line AE cuts the y-axis at C and…

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Q: Find two numbers whose sum is 33 and whose difference is 11. smaller number larger number

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Q: Find the centroid of the lamina bounded by the x- and y-axes, the line x = 2, and the graph of y=e*.…

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Q: One inlet pipe can fill an empty pool in 6 hours, and a drain can empty the pool in 9 hours. How…

A: Solve the given

Q: Use the ALEKS graphing calculator to solve the equation. sin 3x=-1.2x+1.4 Round to the nearest…

A: Concept: The graph of the sine function is up and down curve which repeats itself after every 2π…

Q: Solve the following first order linear differential equation. Show the outline of the solution and…

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Q: Frequently, we encounter a need for two (different) linear transformations to transform a…

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Q: Write a polar equation of a conic with the focus at the origin and the given data. hyperbola,…

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Q: Evaluate the integral. 3 π 4л SS S y cos z dx dy dz 0 0 0 3 π 4л S S S y C 0 0 0 y cos z dx dy dz=

A: The given triple integral is y cosz, x fron 0 to 4pi, y from 0 to pi, z from 0 to 3.

Q: coordinates are giv (a) (7,2π/3) (b) (2,17π/6) (17π/6

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find the radius of convergence of the Maclaurin series for the function below. f(x) = 1 (1+6x¹)³

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Q: Use the quotient rule to find the derivative of the given function. Then find the derivative by…

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Q: Consider the following table, which shows a data set relating the number of full days hikers spent…

A: First we find the   regression line

Q: Use the root test to determine if the following series converges or diverges. 16 Σ n=1 (6+(1/n))²n…

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Q: In the figure, A(-2,7), B(3,2) and C(9,5) are the three points on the same rectangular coordinate…

A: Let's find slope of given coordinates and then solve for which slope is greater.

Q: Concept check: evaluate the integrals using the appropriate method: 2. [ xsecxtanxdx

A: To evaluate the given integral

Q: The rectangular coordinates of a point are given. Plot the point. (-2√/2, -2√//2) -4 (r, 0) = y 5x 4…

A: Given rectangular coordinates of the point is -22, 22 For a point (x, y),  r=x2+y2 where…

Q: Evaluate the integral by converting to polar coordinates. 3 6² 6² cos(x² + y²) dy dx = 0

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Q: 20. To apply the root test to an infinite series Σ an the value of n P = lim (an)¹/n 818 has to be…

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Q: If f(2)=6 and f'(2)=-4, approximate f(1.9) and f(2.1)

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Q: Determine if the sequence is monotoric and if it is bounded. fo 7. an = (n+7) ! (n+1)!

A: A sequence {an} is monotonic iff an>=an+1 or an<=an+1 for all natural number n. A sequence…

Q: 4. Find the intersecting point of the following lines in the three-dimensional space using…

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Q: Find the general solution of the differential equation: dy 2ty + 4e-t². d.t What is the integrating…

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Q: 2- Find the critical points of: f(x) = x³ - 24x² + 189x - 200

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Q: Evaluate the following integral in cylindrical coordinates. 6 √2 √√4-x² SS S e-x² - y² dy dx dz 0 0…

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Q: Which formula is not equivalent to the other two? (−1)k- k-7 10 (2) Σ k = 8 -7 Ο (b) Σ k= -2 (1) k +…

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Q: A particle moves along a horizontal line. Its position function is s(t) for 120. Find the velocity…

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Q: Given a nominal interest rate of 1.5% compounded daily (ie: compounded on each calendar day),…

A: Solution- Given Accumulated value after 9 years (A)=$20,000 Rate(r)=1.5% or 0.015 (annually)…

Q: Let f(x) = 2 sin(x). a.) |f'(x)| ≤| b.) By the Mean Value Theorem, f(a) − f(b)| ≤ la - bl for all a…

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Q: reference and terminal point of 13pi/4

A: reference angle - angle between terminal arm and x axis let θ = 13π4

Q: 5) A) 4./00 45'00 5'00 B) D) 458 4500

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Q: 2. Prove the following: d dt r. (r [r. (r' × r")] = r. (r' xr").

A: Note: Since you have posted multiple questions we will solve the first question for you. To get the…

Q: 2 3 Perform a first derivative test on the function f(x) = x (x-2); [-2,2]. a. Locate the critical…

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Q: y"+lly'+24y = 0 X(0)=0 y'(0) = 7

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Q: 6. Use the unit circle to evaluate the following: (a) (c) (e) (g) sin(7) cos (4) sin (¹5) csc (-²)…

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Q: For the function h(x) = −2x³ - 4x + 3√√x, calculate h'(x), h''(x), and h'''(x) . Show all steps. (2)…

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Q: 1. Test the series for convergent or divergent. 8 √k 2k + 3 Σ(-1)*, k=1

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Q: Suppose that f(x, y) = x² − xy + y² − 5x + 5y with D = {(x, y) | 0 ≤ y ≤ x ≤ 5}. 1. The critical…

A: we need to find out the critical points and absolute minimum and maximum.

Q: Find the general solution to the homogeneous differential equation dy d²y dt² dt The solution has…

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