Two fire-lookout stations are 14 miles apart, with station B directly east of stat notation is N35°F and the bearing of the fire from station B is

Q: Find the derivative of the function f(x) = e8+5x³. O f'(x) = 8+52³ O f'(x) = (8 +5x³) e³+5x³ O f'(x)…

A: To find derivative f'(x)

Q: By using Green's Theorem, calculate the integral [x²y dx-xy² dy in polar coordinates, where is the…

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Q: An estimate of ³₁x¹dx using Simpson's rule with n = 4 gives a. 242/5 b.244/5 c. 148/5 d. 152/5

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Q: 1. Explain two different ways to solve for the derivative of s(0) = 200sin cos

A: Topic = Derivative

Q: 17 0 dx √|x-1|

A: The objective of the question is evaluate the definite integral.

Q: tan Find the integration of 1₁ 1+z²

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Q: Evaluate the definite integrals using properties of the definite integral and the fact that 5 5 S √³…

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Q: Thank you for your help! Also, what was the 3rd digit for the 4.04?

A: I think you need all answers having three decimal places. So,i am uploading all the answers with…

Q: B If f(x) has a local minimum at ra, then which of the following must be true? O f'(a) > 0, f"(a) 0…

A: We have to find the correct option.

Q: 5. What is odd and even function?

A: We have to define odd and even function.

Q: The total cost of producing x newspapers is given by the function C(z) = 20x-x². Find the marginal…

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Q: IV. Fill in the blank to make each statement true. Use correct notations. 4. The graph of y = sin x…

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Q: Let an 4n 7n + 1 (a) Determine whether {a} is convergent. convergent divergent = 8 (b) Determine…

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Q: This equation is an example of which one of the following? Ax + By > C A two-variable inequality…

A: Since , x and y are variables , therefore given inequality is a  Two - variable inequality. Option…

Q: For the following graph the equations and shade the area of the region between the curves. Determine…

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Q: Find the limit and determine if the function is continuous at the point being approached.

A: This question can be solved using the concept of limit and continuity.

Q: Which of the following equations represents a parabola with a horizontal axis of symmetry, vertex at…

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Q: Consider the region R bounded by the functions f(x)=3x and g(x)=x²+2. The area of R is: Choices: sq.…

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Q: For each positive integer n, define an = n² sin 1. Determine if the sequence {an} +∞ 2 n² n=1…

A: A sequence an is convergent if and only if limn→∞ an =L (finite) . Note : As per our Guidelines , we…

Q: Differentiate y O 1 4x +2 = x(x-1) (2x²(x + 1)) 3(x-1)²(x²+2x+1) 8x² + x 2 2 O3(x-1)² (3x²-1) 8(x² +…

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Q: 21. 22. 8) For problems 21 and 22, consider the graph of the function below. Determine the intervals…

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Q: B Consider the function f(x) = -4x²+7x+6. Interpret the meaning of f'(-7)= 63. O The average rate of…

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Q: : x-2y+3z-1 = 0 and the line 1 : x = Consider the plane 1. Find the point of intersection of and 1.…

A: Given: x-2y+3z-1=0x=1-y2=z+1

Q: Which of the following statements proves the series-128+96-72+54- O 2 is geometric?

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Q: If [ 2013 |檳 sin ada = −a³ cos x + 3x² sin x + k fæ sin ædæ, find k d. 3/2 a. 6 b. -3/2 C. -6

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Q: The base of the solid is the triangle enclosed by x + y = 11, the x-axis, and the y-axis. The cross…

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Q: X √x dx 5-х

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Q: The area of the surface formed by revolving the curve x = 2√1-y in the interval 0 ≤ y ≤ 1 about the…

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Q: ) Use the Product Rule or Quotient Rule to find the derivative of f(x) Do not simplify. O f'(x) = O…

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Q: Which linear equation has the solutions (2, 4) and (-2, 6)? y = 2x + 8 y = (1/2)x + 3 y = (-1/2)x…

A: The given problem is solved below in steps.

Q: Which of the following equations represent(s) a line that goes through the points (2,3) and (1,1)?…

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Q: Date 3. Determine if the equation is homogeneous in what degree then solve for the general /…

A: Solution

Q: Consider the graph below and determine the open intervals on which the function is increasing and on…

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Q: Which of the following graphs represents (x + 1)² = 8(y - 3)?

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Q: Use part I of the Fundamental Theorem of Calculus to find each derivative, given the following f(x):…

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Q: Consider the smooth parametric curve defined by the equations = t (t²-3) { = 3 (t²-3) ¹ where t € R.…

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Q: Evaluate 1 2. tht Htte tan e(:-+) 2 , у акуся, whve с is the contour given by

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Q: Find y′′ y = -3x4(4x+6)2

A: Recall: Power rule; dxndx=nxn-1 Given, y = -3x4(4x+6)2

Q: below

A: We have to choose the correct option from the given options according to the given graph of line

Q: Evaluate the definite integrals using the graph of ƒ (x) below. 6 (a) (b) (c) 3 f(x) dx = 5 [₂º f…

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Q: For which one of the following lines would the graph fall exactly on top of the x-axis? x = 0 y =…

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Q: What is the point-slope form of the equation that goes through the origin and has a slope of 1.5? y…

A: The point slope form of a line passing throught the point (x1,y1) and has slope m is  y-y1=m(x-x1).…

Q: Find the y-intercept of a quadratic function containing the following points: (2,5), (1,0), and (-2,…

A: Topic:- function

Q: Which of the following graphs represents x = -3?

A: Question: Which of the following graph represent x= -3 ?

Q: Find the volume of the solid obtained by rotating the region enclosed by the curves y = 1 and y =…

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Q: On Integration of Rational Fractions. Distinct linear linear factors ³+3x+1 8) (x+1)²(x-2)²

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Q: Evaluate the following limit: lim ²-25 2-5 2-5 O Does not exist. O 0 O-10 undefined

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

Q: For all x ER, it is known that 1. Find the value of f(2022) (0). +∞o 2. Find the exact value of f(x)…

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Q: The graph shows the depth of water W in a reservoir over a one-year period as a function of the…

A: Concept: The average rate of change : The average rate of change function explains how quickly…

Q: 2 s x² dx x2-4

A: