sec 3 x tan x (sec ³x sec³x secrx S see of secxu S u ли secx u du dx let a = tan x du = sec² x dx dx= 1 Sec² x du -How to get rid of this x?

Q: C. If w=f(x,y) and x = r. cose, y=r. sine. Prove that aw ar aw +1 (2001) = fx² + fy²

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Q: a) Find the value(s) of y such that the vectors U₁ = and U₂ = are parallel.

A: As per the company's guidelines, we are supposed to solve the first question for you, kindly repost…

Q: Which of the following is the equation of a sphere with radius r = 3 centered at the point…

A: Given that radius of the sphere is 3 and the center of the sphere is -1,0,-2. We have to find the…

Q: (a) Graph f(x) = 3 x for x < 0. (b) Graph g(x) = 2√√x for x ≥ 0. (c) Graph r(x) = 3|x for x < 0 2√x…

A: Consider   a)      f(x)=3x      for x&lt;0b)      g(x)=2x      for x≥0c)       r(x)=3x          for…

Q: \(\) The vectors u= 8> and v= are not orthogonal if and only if -136 Select one: O True O False

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Q: Given the points A(-8, 2, 3) and B(-8, 2, -4). Question 3 a). Write parametric and symmetric…

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Q: 2. Imagine you were given three different tables of values; a linear, quadratic and exponential one.…

A: Imagine you were given three different tables of values; a linear, quadratic and exponential one. To…

Q: Q2\ Choose true or false from the following sentences:- Matrix has only one row call Row Matrix.…

A: 1- true Matrix having 1 row is called row matrix.  2- true.  Gauss Jordan method is used to find…

Q: B (2x + 3y² +42³) dV, where B = {(x, y, z)|0 ≤ x ≤ 1,0 ≤ y ≤ 2,0 ≤ #≤ 3} 08 192 170

A: dv = dxdydz And put the limit of integration.

Q: Q5 \ Find a root of an equation Bellow by using Bisection method Where the accurate to at least…

A: Here we have to use the bisection method for the solution.

Q: If w = f(r,s,t), r = x-y, s = y - z, t = z - x then dw Əw + ?х -1 Əw дz 0 о II 1 -2 ( 2 O

A: Given the function w is function of variables r,s and t . further r, s and t are the functions of x,…

Q: Let a be a real number. Evaluate the following integral: So fx + y dady

A: ∫0a∫y-1y+1 x+ydxdy this is given  find double integration  further step given below

Q: Calculate the area of the plane region bounded by the function Y=X²-4X +5, and the line that passes…

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Q: Use the graph to determine whether each statement is true or false. lim f(x) = f(3) x → 3 True False…

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Q: Solve the given differential equation by finding, as in Example 4 of Section 2.4, an appropriate…

A: Given: 8-12y+e-3xdx-4dy=0

Q: Let a be a real number. Evaluate the following integral: Sofyx+y dady

A: ∫0a∫y-1y+1 x+ydxdy solve this double integration by first apply x integration and after with respect…

Q: The Taylor series for f(x) = e² at a = 3 is Σ(x-3)" Find the first few coefficients. CO C1 C₁ = C2…

A: The objective of the question is determine the coefficient of Taylor series.     Note -  As per our…

Q: A-Show if the series is convergent or divergent (2n)! 2n n²

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Q: Find the area of the region that is bounded above by the curve f(x) = (x + 2)² and the line g(x) = 4…

A: NOTE: Refresh your page if you can't see any equations. . here we have first, we need to find the…

Q: (d) dx Oseparable exact linear in x linear in y homogeneous 0 Bernoulli in x Bernoulli in y Onone of…

A: Explanation of the answer is as follows

Q: If the vectors a and b are such that a = kb where k is a positive scalar, then the vectors a and b…

A: Given a and b are vectors Such that a=kb and k is positive

Q: • (-1) k2k k² k=1 Use the Ratio Test to determine whether converges absolutely or diverges.

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Q: y' = x - 4xy

A: We have to find solution of differential equation.

Q: B-Find the area of the region inside the curve 1+cos@ and outside the curve -1 and graph the two…

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Q: 31. Determine the point of the plane T: 15x - 3y + 2z + 6 = 0 intersection of the line [x, y, z] =…

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Q: The cofactor of the following Matrix is [5 W = 3 4 6 cof(W) -12 18 11 4 2 0 11 -22 -8 16 2 1] 5 3

A: To find the cofactor matrix of W

Q: Consider the function f(x) = 8x³ - 6x² + 3x - 8. An antiderivative of f(x) is F(x) = Axª + Bx³ +…

A: We know that integration power rule is - Integration of xn is xn+1/n+1 +C. Here C is integration…

Q: The evaluation of 2xe³ dxdy is 3e-1 O e-3 e-1 O None of them O -3e

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Q: If a xi = 0 and a x j = 0, then Select one: O a is equal to i + j a cannot be determined O a is…

A: Find out the correct option.

Q: 10. Use the definition of the limit of a sequence to prove that (3n+1 lim 2n + 5/ for all positive…

A: we have to use definition of limit of sequence.

Q: If the volume of the parallelepiped determined by the vectors A = i + ak, B = 8i - 5j + ak and C =…

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Q: I sin²(x) cos(x) dx

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Q: Evaluate the following integral using change of coordinates: SR S x³ + xy²dady where R is the region…

A: Let's solve given double integral.

Q: Barbara knows that she will need to buy a new car in 3 years. The car will cost $15,000 by then. How…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: The equation of the plane that passes by P(2,0, -1) and that is perpendicular to the line x-5 2-y Z…

A: The plane passes by P2,0,-1 and that is perpendicular to the line x-5-2=2-y4=z-23

Q: dy Find where y = csc dx Provide your answer below: dy dx = +9). 6x + 9

A: y = csc-(1/(6x+9)) find dy/dx = ?   here we use formula  dcsc-x/dx = -1/xx2-1   using this formula…

Q: ind the volume of the solid whose base is a triangle with vertices (0, 0), (0, 5), and (5, 0).…

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Q: Find all solutions of the equation in the interval [0, 2π). 2sin6θcos2θ - 2cos6θsin2θ = - √2 Write…

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Q: What does the following equation represent in R3 -7x + 5y = 0 O Line O None of the others O Plane O…

A: What does the following equation represent in R3   -7x+5y =0

Q: fins the voulme of the solid with cross-sectinal area A(x).   A(x) = x+2. -1 <x<3

A: fins the voulme of the solid with cross-sectinal area A(x).   A(x) = x+2. -1 &lt;x&lt;3

Q: Let a be a real number. Evaluate the following integral: So f +ydady

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Q: 2π 1. The region R is bounded by the x-axis, x = 0, x = 3 A. Find the area of R. sin(). 2 and y =…

A: Given: Region R is bounded by x-axis, x=0,x=2π3 andy=3sinx2

Q: 4. Let the universal set U, and the subsets of U are A = {x|x is a letter of your first name}, B =…

A: Disclamier: Since you have posted a question with multiple sub-parts, we will solve first three sub…

Q: Find the total area of the shaded regions. (-3,36) -6 ₂ Ау 40 32- 24- 16- 8- -8- y=4x (3,36) y=x 5x…

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Q: Find the slope of the tangent line to the parametric curve [x = 4 cos(t) y = 3 sin(t) at the point

A: A detailed solution is given below.

Q: Repeat Exercise 60, except with these derivative boundary conditions: y'(0) = 0, y'(π) = 1. In part…

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Q: Let a be a real number. Evaluate the following integral: Sofyx + y dxdy y-1

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

Q: Tutorial Exercise Complete the given relative frequency distribution and compute the stated relative…

A: Solution

Q: y' = x - 4xy

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Q: J sin²(x) cos(x) dx

A: We have to evaluate ∫sin2x cos2x dx.