The circumference of a sphere was measured to be 70 cm with approximation to estimate the maximum error in the calculate

Q: Evaluate the limit. lim X→∞ 5 (₁ + 2/2 + 1/2)² X

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Q: Problem 11 (i) Find the area bounded by the polar curves r = 0 + 1, r = 0+3, 0=0, and 0 = 2 (ii)…

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Q: Solve for t such that 0 < t < 2π 16 sin(t)cos(t) = 4 sin(t) t = List exact radian answers when…

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Q: Consider the following function and graph. f(x) = x + 2 1 -3+ Determine whether f(x) approaches ∞ or…

A: In this question, we want to find the left hand limit and right hand limit of the function.

Q: If the region under the graph of Select one: True False y = x¹ + from x = 1 to x = 5 is rotated…

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Q: Consider the following function. f(x) = 4x² - 2x Find the limit. lim Az-0 f(x+ Ar)-f(x) Ar

A: Where , fx+Δx=4x+Δx2-2x+Δx fx=4x2-2x   Putting in the limit we get

Q: SOLVE THE FOLLOWING HOMOGENOUS LINEAR DIFFERENTIAL EQ TACHY 1. (D³ - 5D² + 3D + 9)y = 0 2 (D3 D2 1

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Q: Determine whether the vector field is conservative. F(x, y) = xe(x^2)3y(2yi + xj)   If it is, find…

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Q: Consider the following. f(x)= -(-3x, X ≤ 6 X > 6 x² - 4x + 9, Find the x-value at which f is not…

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Q: Find the general solution of the differential equation: 1. (2x + 3y - 1)dx - 4(x + 1)dy = 0

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Q: Write the product as a sum or difference: 12cos(34u)sin(9u)

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Q: Find the vertex, focus, y-intercept, directrix of the parabola. Find the domain and range. Graph: (y…

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Q: Laplace Transforms. 1. Determine the Laplace Transform of the following functions: a. f(t) = 5te-t +…

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Q: b) Suppose x # 2. Find dif dx In y = In (x - 2)² √x² +1

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Q: What is the derivative of f(x) = Select the correct answer below: O 4V/2 O 2012 3 O w/s O 16V/2 о 3…

A: Derivative of function f(x)=43x54 at x=4

Q: y = -x² + 13 and y = x² + 5

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Q: The general term of the sequence is Select one: O True O False 1, an = 1-1 1 (-1)"+1 ,n21

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Q: Suppose the function y=h(x) is nonnegative and continuous on [x3], which implies that the area…

A: We want to find area bound by the astroid

Q: Use differentials to approximate to 3 decimal places ( 1.09 ) 1/3

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Q: Find an explicit solution dyy² dx x² - 1 of the given initial-value problem. y(4) = 4

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Q: Determine whether the statement is true or false. If f and g are discontinuous at x = c, then so isf…

A: 1. If f and g are discontinuous at x=c, then so f+g. 2. If fx is continuous at x=c, then so is fx

Q: sin(2t). Find Əz Ət if z = √r² + s², r = cos(2t) and s =

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Q: Consider the following. f(x) = x - 51 X-5 Find the x-value at which f is not continuous. Is the disc…

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Q: View Policies Current Attempt in Progress Determine whether the following statement is true or…

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Q: The absolute minimum is at one of the local minima. True or False

A: It is indeed true.

Q: d the general solution of the following differential equation. y" + 7y' + 12y = 0 E: Use c₁ and c₂…

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Q: Suppose dn 1 dt 10n and n(1)-2. Answer the following. 8) Separate the differential equation, then…

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Q: Give an example of a derivable function f (x) with f ′ (- 4) = -3

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Q: f(x)=3x²-x+2,a=1 f(x)=6

A: Solution of given question is written in below steps.

Q: The gradient vector of the function f(x, y, z)= ln(yz) - x² is: 2 Select one: 0 (-2x,1,1) O None of…

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Q: Find all solutions of the equation in the interval [0, 27). sec 0-√2=0 Write your answer in radians…

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Q: What is the area of the region between the lines y = 6x and y = 3x from x = 1 to x = 5? Select one:…

A: Answer: the solution is as shown below:

Q: DO

A: Please refer to the image below

Q: Halla la derivada de la función g(x): 8 ( x ) = sin -5 √/2 - 1 dr

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Q: dy 3-t=8 dt

A: As per our guidelines we only solve one question and rest of the question will be reposted. Hint: To…

Q: A pilot flies in a straight path for 1 hour 30 min. She then makes a course correction, heading 10…

A: topic :law of cosines

Q: Find the area bounded by the parabola y² = 8x, the line y = x + 2, and the x-axis. A 3.33 square…

A: as per company guidelines we can solve only first question when multiple question being posted

Q: Test the series below for convergence using the Ratio Test. (-1)"42n+1 (2n + 1)! Σ n=0 The limit of…

A: Given :∑n=0∞-1n42n+12n+1!

Q: 16 5. (a) Find the constants a,b,c for the conic r = - 5-3 cose Sketch the conic.

A: We have to find the values of a, b, c and sketch the curve.

Q: If I have a continuous, smooth (no sharp points) function with 3 local maxima and 2 local minima,…

A: Since the function is continuous , with 3 local maxima and 2 local minima.the function will have 5…

Q: Find the limit of the trigonometric function. (If an answer does not exist, enter DNE.) lim 8 cos x…

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Q: Complex Numbers. 1. Evaluate the following. Express all final answers in rectangular form. a.…

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Q: 3x 1+x* 4. Find a power series representation for the function f(x)=; and find its interval of…

A: Please see the below picture for detailed solution.

Q: 2. Let f(x) = nx² - 2x + 5 and g(x) = 6x² - 5x + m. The functions are combined to form the new…

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Q: Consider the following. lim 2x²-3x - 5 X→-1 x + 1 Find the limit of the function (if it exists). (If…

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Q: K Solve the triangle. a = 6, c = 5, B = 54° b= (Do not round until the final answer. Then round to…

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Q: The shaded region between the graphs of y = orange. | -6 Ax- 25 2x² + 20 and y = 3x - 15 is…

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Q: Find a general solution to the differential equation. 1/4y"+4y=3tan4t-1/3e^3..........the general…

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Q: A sector with central angle ? is cut from a circle of radius R = 18 inches (see figure), and the…

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Q: f(x)={-2x, X = x ≤ 4 x>4 x² - 8x + 5, Find the x-value at which f is not continuous. Is the…

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