Create a cartesian equation of a line in R using the digits (6,-5,-4). o Find a NEW cartesian equation of a line that is perpendicular to your line and has the same x-intercept as. (2,4)t( 10, 1) te R (x, y)

Q: C: 3:Use Gamma & Beta properties to evaluate : 2x¹e¹-x dx

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Q: 2. Let A € M, (R) be given. (a) If AA = 0, prove that A = 0₁. Does this hold if A € M₂, (C)? (b)…

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Q: Let X and Y be topological spaces and let f : X → Y be a function. Prove that the following…

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Q: The rate of change of the height h(t) of water in a cylindrical tank with a hole in the bottom is…

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Q: By using the method of least squares, find the best line through the points: (2,-3), (-2,0), (1,-1).…

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Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

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Q: If F is a finite field of characteristic p, then aap is an automorphism of F.

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Q: Consider the sequence of functions {f} defined on the interval [0, 1], where fn(r)= nx 1+n²r²¹ Vx €…

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Q: Part A: “Infeasibility means that no solution to the LPP satisfies all the constraints, including…

A: Infeasibility exists when the given LPP has no solution. This means there is no value that satisfies…

Q: 2Using the spherical coordinate, find the volume of portion of the sphere Jutub x² + y² +²=9 lying…

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Q: Evaluate the Cauchy principal value of 2 x 50% -dx 8 x 2 (x² + 1)²

A: We have to find Cauchy Principal Value of the given integral.

Q: 1.Tony is 6 years older than Jonathan. Six years ago, she was twice as old as he. How old is Tony?…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: 2: Find the first 4 terms of the Taylor series for: f(x)=sin лx near a=0.5

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Q: 1. Let x, y R" be given. (a) If ||||||y|| = 1 and z-y = 1, show that x = y. (b) If |||| ≤ 1 and y||…

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Q: If H is a Sylow p- subgroup of G with |G|= qn and q> n is a prime. Then H may be normal. O O True…

A: We have to check whether the given statement, "If H is a sylow p-subgroup of G with G=qmn and q>n…

Q: Consider the piecewise function 2+x² x<0 x=0 g(x) = 1, 2-³, 0<x< 1 2-x x 21 (a) For each of the…

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: 13. y=√√x-1, x = 5, y = 0; about x = 5

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Q: A transformation T: R² → R², T([x]-[]+[ 7[*]-[x]-[d] is applied to the graph of f. i. Find the value…

A: We have the transformation T:ℝ2→ℝ2,  Txy=xy+d0 and is applied to the graph of f. We are given the…

Q: Thinking-OPTIONAL-Do you want me to mark this question? 7. If f(x) = mx²-x+2 and g(x)=3x² +nx-4, and…

A: A quadratic function of the form fx=ax2+bx+c  represents a parabola. Here, a, b and c are the…

Q: 3. A loan of 7 quarterly payments of Php.8,300 is to be made, to pay for a loan at 10% compounded…

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Q: The task is to answer the question below: Let A be the positively oriented surface parametrized by…

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Q: Example 10.9. Given ay dx 2..1. y-x y + x with initial condition y = 1 at x = 0; find y for x =

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Q: Particle motion At time t, the position of a body moving along the s-axis is s = t³ - 6t² +9t m. (a)…

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Q: Example 9.6. The integers 0, 1, 1, 2, 3, 5, 8, 13, 21, sequence. Form the Fibonacci difference…

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Q: > Fill in the missing steps to determine convergence or divergence of the following series (4) + n-1…

A: Given series is ,…

Q: 3. Write the following triple integral !!! = x+y dA R in iterated form where S is the region bounded…

A: Let us consider a triple integral ∫S∫∫f(x,y,z)dxdydz To solve the triple integral  Integrate with…

Q: Which of the following is true for the integral A. In 5-In(-2) B. In 5-In 2 C. -In 5+ In 2 D. In 5 +…

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Q: the first swing is 40 inches. How far does the bob travel in coming to rest? ELABORATE Exercise…

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Q: 2. Let A € M, (R) be given. (a) If AA = 0n, prove that A = 0₁. Does this hold if A € M₂, (C)? (b)…

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Q: Find general solutions 17. y" - 4y = -12r² +6x-4; 18. y"+y+y = -13 sin(2x); 19. yy=e+xz; 20. y" - 4y…

A: 19)  We have given a differential equation ,  y'' - y = ex + x First we will find complementary…

Q: Y[n] = 2x[n] x5 b[n] where X[n] = [o. v. 2 1 40.5] and h[n] = [-0.2 3 4 -3] the mean convolution.…

A: a) As per the question we are given a discrete input signal : x[n] = [0.1  2  1  4  0.5] And the…

Q: Simplify a(a+1) (a+b)(a+b+1) a² (a+b)²

A: LCM is an abbreviation for "Least Common Multiple." The smallest number that can be divided by both…

Q: Consider the division of two polynomials: f(x)=(x-c). The result of the synthetic division process…

A: Part (a) We have the coefficients of the dividend are 1  -2   -13   -1  -48 So, the dividend is:…

Q: Ali, Ben and Calvin divided some stickers among themselves. Ali took 20 stickers and 1/5 of the…

A: Let x be the number  1n of the given number means 1nx Remaining of the number is the amount left…

Q: Example 10.17. Apply Runge-Kutta method to find approximate value of y for x = 0.2 in steps of 0.1,.…

A: Probem is solved using runge kutta method.

Q: Find the unit vector in the direction of v. v = -6.7i + 3.7j

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Q: 5. (8 points) Let A € M₂ (R) be given. (a) If det (A) = 1, prove that adj (adj(A)) = A. (b) If A is…

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Q: a X Q3. Find the edge cover and vertex cover in the graph above G.

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Q: Let P be a Sylow 19-subgroup and Q be a Sylow 7-subgroup. Then PQ is a subgroup of G of order: O 21…

A: We have given that ,  P be a Sylow 19-subgroup. Q be a Sylow 7-subgroup. We need to find , order of…

Q: Find the angle ? between the vectors in radians and in degrees. u = 5i + 4j + k v = 4i − 5j

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Q: A space vehicle flies into a gravitational force field F(x, y, z)=-y(b²2² + a²y²)i + (b²r² + a²y)j…

A: The work done by a force field is equal to the dot product of the force field and the displacement…

Q: 8. Show that for any orthonormal sequence F in a separable Hilbert space H there is a total…

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Q: C: 2: Find the first 4 terms of the Maclaurin series for : In(1+x)

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Q: In Problems 17-20, expand f(z) = annular domain 0 <z - 2 <3 N (z + 1)(z-2) in a Laurent series valid…

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Q: Let A € M₂ (R) be given. (a) If AA¹ = 0n, prove that A=0₁. Does this hold if A € M₁(C)? (b) Suppose…

A: Solution: (a) Let A∈Mn(ℝ) and given that AAt=0n matrix.          applying trace on both sides in the…

Q: (b) Determine all ordered pairs (a, b) so that the linear system below has infinitely many…

A: Given linear system is ,                    x+y+az = 1x+ay+z = 4x+y+az= b (.)  Consider the linear…

Q: Example 10.4. Find by Taylor's series method, the values of y at x = 0.1 and x = 0.2 to five places…

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Q: Example 9.10. Solve y2 - 4y = n² + n - 1.

A: Please find step by step answer below:

Q: | Example 8.11. Evaluate the integral the error with the exact value. dx using Simpson's 1/3rd rule.…

A: Please find step by step solution below

Q: Being careful to allow for parts of the curve being both above and below the x-axis, determine the…

A: Divides the region in two parts .