Find the eccentricity, the type of conic, the directrix, and sketch a graph: r = (3) / (1 - cos(theta))

Q: Determine whether the geometric series converges or diverges. If it converges, find its sum. E7*8*+1…

A: Given: Here,         an=7n8-n+1    =7n8n-1 So,         limn→∞an+1an=limn→∞7n+18n7n8n-1…

Q: Write an equation for the parabola with a vertex at the origin and directrix y = - 24 An equation…

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Q: Find the length of the curve defined by y = 3 ln from x = 8 to x = 9.

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Q: A cone-shaped paper drinking cup is to be made to hold 33 cm of water. Find the height and radius of…

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Q: fx) dx = -5x* + 3x² + 6x + C

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Q: Question 2r x2 + 6 over the interval [0, 5]. Find the absolute maximum and absolute minimum of the…

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: Evaluate and write your answer in a + bi form. [3(cos 68° + i sin 68°)]° - Round to two decimal…

A: De moivre's theorem states that cosθ+isinθn=cosnθ+isinnθ

Q: Find the eccentricity of the conic section. The point shown on the x-axis, (- V3,0), is the focus.…

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Q: NUMERICAL METHODS QUESTION Consider the differential equation y'(x) = -3x²y², y(0) - 2, which has…

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Q: Find a formula for the nth partial sum of the series and use it to find the series' sum. 9. +... +(-…

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Q: Describe the shaded sector in the figure by inequalities in r and 0. y 45° Assume that the radii of…

A: In the given shaded region the value of radius is varying from 0 and goes upto the value of radius…

Q: y as a one-to-one function of x.

A: The given graph is:

Q: Use a graphing calculator to solve the nonlinear system. y = log (x+ 5) y =x? Select the correct…

A: this question has been solved using a graphing calculator desmos.

Q: Let h(x) Find the function given below. 7 h(5и — 7), и # Answer h(5и — 7) %3D.

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Q: Approximate the value of the given integral using the trapezoidal rule 12 y dx where the function y…

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Q: Does the following series converge or diverge? (2n)! Σ 6"(n!)? n= 1 O The series converges. O The…

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Q: 1. Which of the following is a function а. у%3D х2 — 5ху b. х2 — 5х + 4%3D у с. у? 3D х2 d. y? = 3x…

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Q: Find the length of the curve y 12z/2 - 4, 1 <I 2. %3D Find the limit of tl.

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

Q: c) By using the int 00 series is s c n=1 detail solution.

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Q: O f (x) = -6 sin(3x + 1) cos(3x + 1)ecos"(3+1)

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Q: 11. Let b be a real number with b > 1. Determine whether > 1 converges or diverges. As part 1+ bk…

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Q: Find the cofactor of the element a13- -2 -1 0 5 4 2 3 5 O A. 3 О В. 19 ОС. -3 O D. 14 3.

A: Given a square matrix, the cofactor of aij is denoted by Aij=(−1) ^(i+j)M where Mij s the minor of…

Q: Jse the Substitution Method to evaluate the definite integral. * (In x)* dx

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Q: Find an equation for the ellipse whose graph is shown. + 25 1 x 16 y F(0, 4) 4

A: The standard form of the equation of ellipse with center (0, 0) and major axis on the y-axis is…

Q: What is the area of triangle ABC if a = 5 ft, b = 6 ft, and c = 7 ft?

A: Follow the procedure given below.

Q: (-1)" Given: In(1+ x) Σ if |a| < 1. n + 1 n=0 3. Use the third degree Maclaurin polynomial of f to…

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Q: 8. Using any work found in Question 7, determine the value of the following definite integrals. 3x…

A: We have to find the given integrals.

Q: 5) Determine the point of intersection between two lines L1:( (x-1)/1 ) = (y/-5) = ((z-5)/3) L2:…

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Q: Calculate -2 + lỉ. Give your answer in a + bi form. In polar form, use the angle 0 <0 < 2n. a - b -

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Q: x2 a) lim X o e2x

A: We have to find out limit of given function using  L' Hopital's Rule which is as follows in step 2 .…

Q: 5. Evaluate a. 3! ×4! 5!

A: According to bartleby guidelines we only provide one solution at a time. Solution 5.  3!×4!/5! We no…

Q: X tu 3. From questions #2-11, choose an "interesting" relation and i) Sketch the relation clearly…

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Q: Describes the differences between Direct and Inverse variation.

A: Direct variation:The quantities are said to be in direct proportion if:  An increase in the quantity…

Q: Suppose that P = (x, y) has polar coordinates (r, Find the polar coordinates for the following…

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Q: 7s+41 s +10s +34

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Q: A fish tank initially contains 40 liters of pure water. Brine of constant, but unknown,…

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Q: Answer the following True or False. 7x7 the fundamental theorem of calculus tells us that Since dx 1…

A: Fundamental Theorem of calculus:If f(x) is continous function, F(x) is antiderivative of f(x). Then,…

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

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Q: dx Evaluate: XV x2 + 4 1 A) x² +4 – 4 + C x² + 4 +4 - x² +4 – 2 +C 1 (B 2 x² + 4 + 2 x² + 4 – 2 +C 4…

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Q: Let S be the solid bounded by the planes z = o and y + z = 3, and the cylinder x2+y2 =2y-

A: answer is in next step

Q: Matrix A shows the number of servings of each food that each person eats per day. Matrix B shows the…

A: This question can be solved using the concept of matrix multiplication.

Q: Find and classify the critical points of the function f(x, y) = x² + 2xy+ 3y + 2x +y . %3D O (-2,1)…

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Q: x² – 25 -dx is V x2 – 25 – sec-lx+ C. The antiderivative of -

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Q: 83 90 72 Find the 14th percentile, P14, from the following data 1 2 3 6 10 11 12 13 15 18 20 21| 22…

A: Here, we have n=37 data values.

Q: Find the particular antiderivative that satisfies the following conditions: dx/dt=8e^t−7;…

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Q: Solve for ∂w/∂y and ∂w/∂x w=(x-y)/(x+y)

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Q: Solve the equation. Write the solution set with the exact solutions. Inx+In (x-3)%= In(5x-7) If…

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Q: If this test had 13 questions, how many ways could you get 7 questions correct? Answer:

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Q: For the function given below, use a calculator or other evaluation tool to evaluate the function at…

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Q: Find the vector equation for the line of intersection of the planes 2x – 2y – 5z = 5 and 2a + 2z = 1

A: Given  equation of planes 2x-2y-5z=5 2x+2z=1