2. Give the symmetric equations of the line l perpendicular to the plane T : 5x– 2y = z+4 and passing through the point P(-10, 7, 13).

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Q: Express the following sum.. using sigma notation. 1 d. 9 1 Σ 12 + + + 10 11 k= 1

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Q: 11. Find L{tU(t - 1)} A. В. е ers C. D. e-s 1 E. None --

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Q: for In (x + x) dx

A: A detailed solution is given below.

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Q: Express the following sums using sigma notation. a. 7 + 8 + 9 + 10 + 11 b. 8 + 16 + 24 + 32 + 40 +…

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Q: 0 cos n0 do

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Q: (b) Tom and Annie are buying a house and have taken out a 20 year, $250,000 mortgage at 6% interest,…

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Q: O a. X=-9-10A, Y=- 7- 6A, Z= -6-3A O b. X=9+ 10A, Y= 7+ 62, Z= 6+3A P c. X=9-10A, Y= 7- 61, Z= 6-3A…

A: Topic:- geometry

Q: 1-Determine the order of each matrix. 2 -3) b-() c-(105 311) а — 4.1 4 2-Determine the value of each…

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Q: BE-8- 1 (a) [. . | Determine if the vectors 0 and 1 span R° 3 (b;. | Can these three vectors form a…

A: (a)Her,e the matrix generated by the vectors is: 1000512-23

Q: Find all critical points of the function f(t) = t – 4/t + 1. (Use symbolic notation and fractions…

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Q: Use the Chain Rule to find dw/dt. w = xey/z,    x = t5,    y = 1 − t,    z = 3 + 7t

A: To find out dw/dt.

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Q: The following series is divergent: 7n-2 \" Σ n+5 n =1 Select one: O True O False

A: We can solve this as follows:

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Q: S16 sin?x cos?x dx .2.

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Q: Use sigma notation to write the following Riemann sum. Then evaluate the Riemann sum using a…

A: Solve the following

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A: Explained below

Q: So 0 cos r0 do

A:

Q: Evaluate the integrals in the following questions using integration by parts for In (x + x²) dx

A: Given ∫ln(x+x2) dxTo evaluate the integral using Byparts rule:

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Q: 2. S

A: Given :∫xdxx2-4x-7

Q: + 2x-3 Find a lim f) b lim , x) Jig. f(x) d lim rx)

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

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Q: Question 3 - a) ji following series : Determine whether the (-1)"4"-1 32n+1n n=1 is convergent or…

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Q: The solutions of the given modulus equation |3x – 7(4x – 2)| = 5 are - 9 19 19 9 19 25 ' 25 9 9 19…

A: The given modulus equation,   3x-74x-2=5

Q: Q1) Using numerical integration to estimate the area (r=4 )and c(4,0) with n=4 of the semicircle

A: Trapezoidal rule: One of the most significant integration rules in Calculus is the "Trapezoidal…

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Q: for the function below f(x, y) = 5xy – 7x² – y² + 3x – 6y + 2 Partial Derivative for y = %3D 5x- 7у…

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Q: 1 е. (s2 +1)(s2+4s+8)

A: This is a problem related to laplace transform. Based on the partial fraction decomposition and…

Q: O Question 17 Evaluate the integral dx (7x2 + 1) by making the appropriate substitution: dx = (7x2 +…

A: Solving

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Q: For the following function, find its inverse. f(x)= In(6x 2)

A: Given, f(x)=ln(6x-2)

Q: Evaluate the integrals in the following questions using integration by parts For Soc 0 cos T0 do

A: Explanation of the answer is as follows

Q: Use Lagrange Multipliers to solve the following: Maximize f(x, y, z) = 4x + 2y + z subject to r² +y…

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Q: Evaluate the integrals for 16 sin²x cos²x dx X,

A: Given ∫16sin2x cos2x dxTo evaluate the integral:

Q: - Solve the differential equation y-2y'+y e" In x

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Q: V. Determine the equation of the tangent line to the graph of g at the point where r = 1 if g(x)= In…

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Q: Find the sum of the first 10 terms of the following series, to the nearest integer.  125,50,20,...

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Q: 2 and v2 = -2 3 be -2 Work Problem 2": - - - ;): Let v1 = two vectors in R². (a) '- ; Determine…

A: Given that,v1=2-2 and v2=3-2

Q: For the function shown bellow; Find the second order derivatives : af/ay (a^2 f)/(ay^2) f (x, y) =…

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Q: Assume that the radius r of a sphere is expanding at a rate of 60 cm/min. The volume of a sphere is…

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Q: It is possible to find a value for a so that the series 1 + n° na+1 n=1 is convergent. Select one:…

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Q: a) Test the series EN7-1)" for n =1 convergence or divergence (show all your works) b) Test the…

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Q: In (x + x²) dx

A: Given problem:- ∫ ln(x+x2) dx

Q: Evaluate the integral of sinº x dx from o to n/2. А. П/32 В. гп/17 С. зп/32 D. 5n/32

A: We know, 2sin2A=1−cos2A  2cos2A=1+cos2A2cosAcosB=cos(A+B)+cos(A−B)