Convert the Cartesian coordinate (1,-6) to polar coordinates, 0 ≤ 0 < 2π, r > 0 r = √37 Enter exact value. 0 = ☑ Question Help: Video 1 ☐ Video 2 Submit Question

Q: 2) A balloon advertising an open house is stabilized by two cables of lengths 20 ft and 30 ft…

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Q: Given the following points: A (4, -2, 0) and B (-2, -4, 2), find: 1. The length of the segment AB…

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

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A: Step 1:The domain of the function is (−∞,∞)Step 2:The derivative of the function is 4x3−34xStep…

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A: Please see the attached image for the solution.  If there are queries, please do not hesitate to…

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Q: INSTRUCTIONS: As mentioned, try your best on the following questions, being sure to show your work…

A: Step 1:Part (a) Explanation:To sketch the solution curve through the point (0, 1) using the given…

Q: ☐ ☐ 1. Approximate the following integrals using Simpson's rule. (Round answer to three decimal…

A: Step 1: So, the approximate value of the integral is 0.130 (rounded to three decimal places). Step…

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A: Step 1: Step 2: Step 3: Step 4:

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Q: In Exercises 43 and 44, graph the functions. Notice in each case that the numerator and denominator…

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Q: Let f(x) = 4x. (a) Sketch the region R under the graph of f on the interval [0,2]. 1 2 3 Find its…

A: (a) To sketch the region R under the graph of f(x) = 4x on the interval [0, 2], we'll draw the line…

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Q: Use summation properties and formulas to rewrite and evaluate the sum. 28 70 - 70 (j² 2j+1) j=1

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Q: Step by step help please

A: Step 1: Step 2: Step 3: Step 4:

Q: Test the series below for convergence using the Ratio Test. n= n72n 5n-1 The limit of the ratio test…

A: Given the series,n=1∑∞​5n−1n72n​ Using ratio test to test for convergence of the series, we…

Q: on Given the system below, -8x+ay = 4 3x + 2y = -1 find: 1. Value of a, if det (A)=-1 Instructions…

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Q: Q1 please

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Q: Please do the following questions with full handwritten working out.

A: Step 1: Understand the Problem The problem is asking to prove that if (H) and (K) are finite…

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Q: if f(x) = 15 - g(x) for [-2,2], then what is the integral of (f(x)-g(x))

A: To find the integral of f(x)−g(x) over the interval [−2,2], we first need to express f(x)−g(x).…

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Q: Question 2 (1 point) The concavity of y = x³ − 2x + 1 at x = 1 is? A) Undefined B) Concave DOWN OC)…

A: We can determine the concavity at  x = 1 for the function  y = x3 - 2x + 1 by examining the second…

Q: Homework

A: {if you have any queries please feel free to ask..}

Q: ☐ ☐ 3. Approximate the following integrals using the trapezoid rule. (Round answer to four decimal…

A: Question 3.Step 1: Trapezoidal Rule (Approximation)Average of Left and Right Endpoints…

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Q: 2. g(x) = = I x-1 (a) Determine the domain (b) Determine if the graph has any asymptotes, or any…

A: a) g(x)=x−1x​ is not defined on x−1=0⇒x=1So, domain of f(x) is:             (−∞,1)∪(1,∞) b)Find…

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Q: Rewrite the following integral as a Type 2 integral. Draw a clear, detailed diagram of the domain of…

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Q: Please see image

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Q: 4) At t=0, a rock is thrown down from the top of a 100 m tall building with a downward speed of 5.0…

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A: Step 1: Set up the integral We will construct an integral with horizontal rectangles. The rectangles…

Q: Find a polynomial that will approximate f(x) throughout the given interval with an error of…

A: Step 1: It is given that f(x)=∫0x​tan−1(t)dt for all t∈[0,0.45] To find the approximate polynomial…

Q: Help please

A: If you have any questions let me know in comment box thankyou for your question.

Q: Solve 1xy' -4y = x¯ 1xy4y 4, y(1) = −3. (a) Identify the integrating factor, a(x). α(x) = (b) Find…

A: Step 1: Step 2: Step 3: Step 4:

Q: 4. Find the sum Σ-4 2-4-- n n+1

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Q: Change the logarithmic expression to an equivalent expression involving an exponent. 3. log4 16=>

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Q: Use a graphing utility to graph the polar equation. between the loops of r = 2 + 4 cos(0) Find the…

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Q: Over the next 5 years, a company projects its continuous flow of revenue to be R (x) = 90e0.15x…

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Q: • Evaluate the surface integral s F dS where F= (3x, z,-y) and S is the part of the sphere x² +…

A: Surface Integral over a Parametrized SurfaceWe can evaluate a surface integral over a surface S…

Q: Practice

A: Approach to solving the question: Detailed explanation:A. Vector m = 2k - fGiven vectors k = (2,1)…

Q: Find the area of the region. interior of r² = 36 cos(20)

A: Step 1: put r=0 and calculation of angle  Step 2: Angle Q  Step 3: put the limit of integration…

Q: 4. 4

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Q: The table below gives for the value of continuous function f at each x-value. Using the Intermediate…

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