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Q: 2. Express the shaded area of the region shown below by double integrals of order of integration (1)…

A: The shaded region's area is: The difference between the area of the complete polygon and the area of…

Q: For the points P, (8,3,2) and P2(9,4,3), find the direction of P, P, and the midpoint of line…

A: Coordinate of P1 is (8,3,2) Coordinate of P2 is (9,4,3) We have to find the mid point and the…

Q: For the function x-3 f(x) = 2x +5 etermine coordinates of the y-intercept of the inverse function…

A: We can find the coordinate of y-intercept inverse function as below.

Q: 3. Evaluate: lim -) X-0 \sinx 4. Using the binomial series, find the power series of f(x) = =

A: Since, you have posted multiple questions. As per guidelines, we"ll solve only first question. If…

Q: Determine if the vector field F is conservative. F=xyi + yj+zk Conservative Not conservative

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Q: Prove that f(a) = (z - 1)² + (x + 1) is an even function.

A: The given function,   f(x)=x-12+x+12

Q: x2 +y? +z? - 4x + 8y – 2z = - 12

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Q: (a) Use the Second Derivative Test to find the local extreme values of the function f(x) = (x³ +…

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Q: Find !V1-cos xdx 2 sin x = 1- COS X V2(-cos x/2)+ c 1/ /2(-cos x/2)+ c В. 2/2(-cos x/2)+ c С.…

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Q: Consider the function f(x) = x2 -1 %3D (a) Find the intercepts of the graph of f (if any). (b) Find…

A: The given function is: f(x)=xx2-1

Q: Suppose a curve is defined by the equation 16(?2+?2)=45.16(x2+y2)=45. Show that if you translate the…

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Q: Given the following vector field and oriented curve C, evaluate F•T ds. F= (-6y,6x) on the…

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Q: 1 3 20. Find the associated P-vector. A. C. D. E. None B. ON

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Q: If 2n+3 a %3D 5n+8

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Q: S V25 – 4x2

A: According to our guidelines we are supposed to answer only the first question if you want any…

Q: 2(- 1)"- n²+ 4 n – 1 n=1 n²+3

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Q: Given the function G(x) = 3x2 + 2x -1, find the value G(a + 2). 3a 2 + 14a + 15 3a 2 + 2a + 15 5a +…

A: Given: Gx=3x2+2x-1.We need to find the value of Ga+2.

Q: (d) g(x) = v4 – x²;(-2,2) 2 (e) f(x) = (x + 1)3; [-2,1]

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Q: Evaluate the following: 1. f (5a - 82 + 6z² - 4x + 7) da

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Q: The polar coordinates of a point are given. Plot the point. (4, 7/2) y y 10 10 5 (4, 7/2) (4, 7/2) X…

A: Given polar coordinate is (4 , π/2) We have to find the rectangular co-ordinates.

Q: 7. y = csc csc (3x – 1) 8. y = 3secx + 45

A: Solving

Q: (x- 2)² , (y-6)² Problem #4: Find the slope of the line tangent to the conic section =1 at 16 25…

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Q: Choose the correct graph for y = cos x with the domain indicated: y= cos x, -2Asx<

A: Given, y= cos x -2pi&lt;=x=0

Q: Question * Let f a piecewise function as follows. Determine lim f (x). х- 2, x2 (a) 0 (b) +00

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Q: The graph of a function f is given below. According to the graph, f'(x) < 0 on (-1,0). y y = f(x) -2…

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Q: 1 (tan x + cot х) sec x %D 1/cosx 1/sinx 1

A: Given query is to find the correct option for the expression.

Q: 3. Evaluate: lim ( ) X-0 sinx

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Q: The volume of the solid bounded below by the xy-plane, on the sides by p-33, and above by

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Q: Describe the long run behavior of f(x)=-2(4)x+4

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Q: Consider the function f(x) = (c) Find the intervals of concavity and the points of inflection of f.…

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Q: J(x+h)-f (x) h 4x+9x+5 Problem #1: Using lim, Find the slope of the tangent line y = 3x-8 at x = -1.

A: Given: y=4x3+9x+53x−8 Let f(x) =y=4x3+9x+53x−8 We know that f'x=limh→0 f(x+h)−f(x)h Now slope of the…

Q: Find the solution of each inequality in the interval [0, 27z). (Enter your answers using interval…

A: In the interval: [0, 2π)a)sin(x)≥0.5first and second quadrant.x≥π6,…

Q: Select one: O True

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Q: If a production line produces 50 mouse traps every 30 minutes over the course of a 10 hour work day…

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Q: he region between the graph of y = 4x – 8 and the x-axis from - 2sxs6 Ay 30-

A: Topic:- geometry

Q: 4. Find the absolute extrema (abs. max and min) of f (x) = x2 - 8x - 1 on the interval [1, 10].

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Q: Find the integral of f(3x2 + 4x + 1)*(3x + 2)

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Q: The integral of the given function sin³x cos x dx is equal to a. 1/3 b. 1/4 с. 1/5 d. 1/6 e. None of…

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Q: 2. cos(ry?) = cot(3") + 3e"

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Q: (b) Find the values of a and b so that the function f(x) = x² + ax + b has a local maximum at the…

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Q: 1. J (5x* - – 4x + 7) dx 8x³ + 6x2

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Q: 2 Find the slope of the function f(x) = x 3 at x = - 3. -27 27 81

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Q: sin 4.r if r>0 3. Suppose f(r) = {0 if r = 0. Find f'(0) using the definition of derivatives. if r<0…

A: This question is related to derivative, we will solve it using given information.

Q: 75° 4 A = (b) 0.4 rad 15

A: Given, theta= 75° Radius(r)= 4 units We know that, Area of sector= (theta/360°)×(pi×r²) Substituting…

Q: What are the intervals on which the graph 4 .3 of the function f(x) = x* - 2x +1 is concave…

A: Given query is to find the the interval where graph concave downward.

Q: A freshly brewed cup of coffee has temperature 95°C in a 20°C room. When its temperature is 63°C, it…

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Q: The integral of the given function xVx + 1 dx is equal to a. 116/5 b. 116/10 c. 116/15 d. 116/20 e.…

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Q: Express the angle in radian measure. 60° pi/6 pi/3 pi/4

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Q: Question 2! 3: 1: Explain why the following series a) I (-1)" 1+ n3/2 n=1 is Alternating. b) -…

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Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 12 –…

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