8 n=1 (−1)n-¹ 3 + 5n

Q: Let f(x) = 3x + 8, x₁ = 1, X₂ = 4₁ x3 = 7, x4 = 10, and Ax= 3. 4 (a) Find Σ f(x;) Δx. i=1 (b) The…

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Q: 5-x Find the family of the curve whose slope at any point is y-3 passes through the point (2.1) and…

A: Topic:- calculus

Q: Find the area of the region bounded by the curve y=x^3-3x^2+3 and the x-axis.

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Q: TC √³x² x² sin3x dx

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Q: In a "one whole sheet of paper" graph the following sine function. Determine the amplitude, period,…

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Q: xy a. Compute the first- and second-order partial derivatives of f(x, y) = xe with respect to both x…

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Q: 2. Show that the function g defined by VVT y² + √² 2, is not continuous at (0,0). (z,y) = (0,0)…

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Q: Evaluate the following integrals: (show solution) a x² +2 b.) 1 x+1 x+√x c) f(sec x d.) e 4x 4x+1 x…

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Q: Convert each pair of polar coordinates to rectangular coordinates 1. (1, 60 degrees) 2. (1, 300…

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Q: Evaluate each limit if exist lim x -> 0 (\sqrt(x+7)- \sqrt(7-x))/(2x) lim x ->3…

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Q: 2 3/2 √₁² (4- x²) ³/² dx

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Q: y=√√√x 0 Figure A 12. Consider the region in Figure A. Its area, using [f(x) - g(x)]dx, is

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Q: Without using the graph, determine all inflection points of a + x².

A: For inflection point , set f''(x)=0.

Q: Find the critical points and sketch the graph

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Q: 1. Evaluate the given integral Q. ² = £ Q L² L² (²x - 3) (x - y) dx dy

A: Let I=∫01∫y2yx-ydxdyI=∫01I2dyHere we…

Q: Find the curvature K and the radius of curvature R at (1,2). (A K= √/2. R=₁ R = √2 (В) K= R= 2√2 2√2…

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Q: 2 Brad wants to buy a coffee machine for his café. The advertised price is $3200 including GST. When…

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Q: If repetition is not allowed, in how many ways can we arrange ♣, ♠, ♦, and ♥ a) four at a time? b)…

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Q: The graph of y=f(x) is shown. Draw the graph of y = -f(x). 17 Ex X 3

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 2 √₁² √√x² - 4x + 8

A: The solution is given in the next step.

Q: x= t2 - 4t y= 2t3 - 6t what is the minimum and the maximum point?

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Q: A company has a security system that uses digits from 1 to 6. a) How many 3-digit security codes are…

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Q: Find the volume of the solid of revolution obtained by rotating the region bounded by y=1/x, y=2/x,…

A: This question is based on application of integration.

Q: Find the center of mass of a thin plate of constant density & covering the given region. The region…

A: Let's find center of mass.

Q: Consider the functions z= - e In y, x= In (u cos v), and y = u sin v. dz dz (a) Express and as…

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Q: If y = 1 and 2 = 1, find Select one: a. -1 O b. -t O c. 1 O d. t

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Q: 2. Using Linear Approximation, evaluate √81.4305 using the given function and initial valu below.…

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Q: Find a power series representation for the function and determine the interval of convergence. (Give…

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Q: √² (5x²-3x+18) dx 9x - x³

A: Integration is done by dividing polynomial.

Q: 5) Find the volume of the parallelepiped defined by vectors u = [1, -3, 6], v[-2, 5, 6] & w = [1, 2,…

A: Calculating the volume of parallelepiped

Q: Find the critical points and sketch the graph of the function.

A: Topic:- application of derivatives

Q: ل 13 y=√x 0 Figure A 10. Consider the region in Figure A. Its area may be found using [f(x) =…

A: First, finding the intersection of two curves.

Q: (2x²² +ex) dx + (x² + 1) = "² dy (x²-y) dx x dy

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Q: Topic: Area of Surface of Revolution The arc of the parabola y=x^2 from (1,1) to (2,4) is rotated…

A: We have to find the surface area.

Q: 1. A man is standing on a horizontal ground 30 ft away from a hot air balloon. After a moment, the…

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Q: In each part, find polar coordinates satisfying the stated conditions for the point whose…

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Q: Find the enclosed area by the curve with equation y = x² - 9 and the X-axis in the region [−1, 2] 24…

A: In this question, we want to evaluate the area of the region enclosed by the curves y=x2-9 and X-…

Q: Suppose you measure t asure the following (x, y) values: (1, 1.5) (2, 1.8) (5, 4.3) (7, 6.5) + You…

A: The given points are:  1, 1.52, 1.85, 4.37, 6.5 Let the line of best fit is: y=ax+b Using the points…

Q: Find the derivative of cos-¹(sin x)

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Q: 3. Let R be the region bounded by the curve y = √√x, the line y = 1, and the y-axis. Use the shell…

A: We need to find volume.

Q: Find the inverse of the function on the given domain. f(x) = (x-5)^2, [5,∞) f-1(x) = =

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Q: Using vectors, find the area of the triangle with vertices P(5, -1, -3), Q(7, 2, -4), and R(6, 1,…

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Q: . Find the equation of the curve whose slope is the inverse of the sum of the square root of five…

A: Topic:- function  and application of integration

Q: 8.1 PLEASE TYPEWRITTEN FOR UPVOTE. SHOW YOUR COMPLETE SOLUTION.

A: To find out the family of curves whose slope is given.

Q: open rectangular box with square base is to be made from 48 ft2 of material.  What dimensions will…

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Q: The solution of the differential equation=1-x+y-xy is: dx

A: To solve the given differential equation

Q: Find the derivative of the function at Po in the direction of A. f(x,y,z) = 2 e* cos (yz),…

A: We can solve this as follows:

Q: б хрх ] Ґ

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Q: The points R(-1, 1, -3), S(3, -3, 6), T(0, 0, 10), and U(2, 4, 7) are the vertices of parallelogram…

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Q: 2. Find the following integrals: a. √3x²-x+5 b. S 3x² √x3-10

A: We can solve this as follows: