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Q: 7. Apply the test for divergence to each infinite series given below. Then using at least one…

A: Given:To Find: To apply the test for divergence, for each of the given series. Then to explain the…

Q: Find the area of the shaded region. r = 4 + 3 sin(0) -5 y 5 -5 5 -X i

A: The region is bounded by the curve The given graph of the region

Q: A curve with polar equation r = 28 5 sin +41 cos 0 represents a line. This line has a Cartesian…

A: A curve with polar equation represents a line.To find the Cartesian equation of the line in the…

Q: Find the end points of the minor and major axis for the graph of the ellipse (x - 2)² (y – 5)² + 1…

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Q: Suppose Find the product AB. AB= Find the product BA. BA= -9 - [3] and 9 A = and B = help (matrices)…

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Q: Use the summation formulas to rewrite the expression without the summation notation. S(n) = k = 1…

A: The given series

Q: 7. The sum of measures of the angles of a triangle is 180 degree. The smallest angle of the triangle…

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Q: Suppose you are given a triangle with Then a = , and b= 9. Enter your answers with at least 3 digits…

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Q: Find the absolute max. and min. of each function y=√4−x^2, (−2,1)

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: 5. If A = (611). 0 then eª = e e (8 €) e

A: A=

Q: Find the radius of convergence and interval of convergence of the series. Σn!(3x−1)″ n=1

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Q: Evaluate the limit, limx→∞ 3x² e4x

A: L=limx→∞e4x3x2

Q: TU Find the speed for c(t) = (3 sin(5t), 8 cos(5t)) at time t = FR

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Q: SOLVE THE FOLLOWING PROBLEM AND SHOW YOUR COMPLETE SOLUTIONS. EXPLAIN YOUR WORK FOR BETTER…

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Q: (4) Find the maximum and minimum values of f(x, y) = xy on the ellipse x² - xy + y² = 1.

A: The given equation of function  Let

Q: Convert the rectangular coordinates of the point to polar coordinates (r,0) with r>0 and 0 ≤0<2.…

A: We need to convert rectangular corrdinates to polar coordinates.

Q: lim       sin(π+h)- sinπ                                      h→0     —------------…

A: Note:-Since your part a incomplete ,please repost part a again(b)

Q: Convert the Cartesian coordinate (-2,-5) to polar coordinates, 0 ≤ 0 < 2π r = Enter exact value. 0 =

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Q: Consider the parametric curve: x Y 4 +² +³4t At which t value(s) is the tangent to this curve…

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Q: Sketch the graph of the function shown below. From the graph, find its domain and range. |xif -3<x<0…

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Q: A tall pipe is 30 feet tall. A person with a height of 6 feet walks away from the pipe along a…

A: The objective of this question is to find the rate at which the person is moving away from the pipe.…

Q: (1) Let C₁ and C₂ be arbitrary constants. The general solution to the homogeneous differential…

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Q: Use the table of values to find lower and upper estimates of 10 [to f(x) dx. Assume that f is a…

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Q: Find the exact location of all the relative and absolute extrema of the function. (Order your…

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Q: Find y' 4x-5 y= 2x+3

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Q: Convert the Cartesian coordinate (1,-2) to polar coordinates, 0 ≤ 0 0 r = Enter exact value. 0 =

A: Cartesian coordinate (1,-2)

Q: Let sin A = -1/sqrt10 with A in QIII and tanB = 3/4 with B in QI. Answer exactly. Find tan (A+B) and…

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Q: 2 sin(x) cos(x) + √3 sin(x) = 0 Find all angles in radians that satisfy the equation. For each…

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Q: Find the indefinite integral. [(e² + +6) dx = +C

A: We have to find the integration of

Q: Determine whether the function shown below is a one-to-one function. If it is one-to-one, find its…

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Q: 06

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Q: A firm's marginal cost function is MC(q) = 5q¹ + 4q + 10. Find the total cost function if the fixed…

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Q: Given f'(x) = 6x + 5, compute f(4) – f(1). -

A: Explaination of the answer is as follows

Q: 2. True or False: If the parametric curve x = a(t), y = b(t) satisfies d'(5) = 0 and b' (5) = 1 then…

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Q: Consider the following function. g(x) = (x - 2)²-9 Step 3 of 4: Find two points on the graph of the…

A: Consider the function

Q: What is the domain of the function shown in the graph below? -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 10 9 8 7…

A: To find the domain of the function shown in the graph below.

Q: Find the general solution for the following linear homogeneous recurrence relations: (a) an = 2an-1…

A: The objective of the question is to find the general solution for the given linear homogeneous…

Q: 6. Let So f(x) dx = 12, 5 Calculate the following integrals. (a) [°*3f(x)dx = (b) *2f(x) – g(x)dx =…

A: Let To calculate the following: (c) If  is an odd  function, then to find .Note:  Since, the student…

Q: Find the area A of the region that is bounded between the curve f(x) = −2 sin (2) over the interval…

A: Given that the region bounded by the functions  and  over the interval

Q: Find all exact solutions on the interval [0, 27). If there is more than one answer, enter them as a…

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Q: 7. Evaluate the definite integral. a. b. С. 9 cos(xt/2) dt в'ітетка 1+ * = dx 47 dx

A: The given intergals are

Q: 6. Find the equation of the line tangent to the following functions ate the given points. a. y = x²…

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Q: A cup of coffee has cooled from 98°C to 50°C after 10 minutes in a room at 25°C. How long will it…

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Q: Air freshener A has a mass of 42 grams when opened and its mass decreases by 4.2 grams each day. Air…

A: The mass of the Freshener a=42 gmIf opened in the air decreases to  4.2% per dayThis means the decay…

Q: 9. Find the interval of convergence of the series: 2¹ (x + 3)¹ In(n) ∞ n=2

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Q: A= B n ed Use the right triangle and the given information to solve the triangle. a=1, c= 8; find b,…

A: Given,

Q: 2x 1) Calculate the derivative of h(x) = √√e²x +e-²x

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Q: The graph of a one-to-one function f is given. Draw the graph of the inverse function f¹. For…

A: The graph of a​ one-to-one function  is given. To draw the graphof the inverse function .

Q: 37. se sec² (10x + 7) dx

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Find the indefinite integral. fett 7t dt = +C

A: I=∫e7tdt