The equation for the line that passes through the point (1,0) and perpendicular to the --1 is line x = - -y

Q: Question 1 Let f (x, z) 4xz - 2x + and g(x, z) = 3x-z+ 2xz - 6. %D Find: af(x,2) blank 1: дх evaluat...

A: f(x,z)=4xz3-2x+1z,   g(x,z)=3x-z+2xz-6  

Q: Determine the form of a particular solution y, (x) for y" - 4y'+5y e*+xsin 3x- cos 3x. [Do not evalu...

A: Solution: The given differential equation is y''-4y'+5y=e5x+x sin3x-cos3x. For the complimentary fun...

Q: 3. Use the permutation and combination formulas to prove the following. (a). For all integers n 2 3,...

A: Given n≥3, n€ Z (integer ) We have to prove that P(n, 3)+2P(n, 2)=nP(n, 2)

Q: one of the More important the orem {n real analysis is faton's Iemmar state the lemma aud say some t...

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Q: 1. Factor fully. a) 60х - 10х — 150 b) 12km – 72k – 5m + 30 16у' - 1 d) 49 — у' + х* 2 - 14х

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Q: Q4: Solve the following integrals:- dx 4dx (1) S: (2) S: sec xesin x (3) S x sec? x dx 2+cos x

A: Note:-  As per our guidelines, we can answer the first three sub-parts of this problem. For the rema...

Q: A. Graph the inequality, 4x + 5y < 20. 1. Equation of the Boundary Line: 2. Solve for two points: 5....

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Q: Suppose that the mass in a mass-spring-dashpot system with m = 10, c= 13 and k = 4 is set in motion ...

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Q: Let f : R → R be a function defined by f(x) = Decide whether it is an injection, a surjection, 1+ x2...

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Q: Company needs $820,000 at the end of five years to open a new office.  The company decides to utiliz...

A: To determine the money that needed to be invested per period in the fund to obtain the money to open...

Q: QI Find for dx dt dy 4e - 5x'e dx dy 3re + 5x'e" dx O 2, dy - 2e + 4xe dx dy 2xe dx dy dy 5x'er dx 6...

A: We have to compute dydx, where y=∫x6x5et2dt. Comparing the given integral with the equation y=∫HxGxF...

Q: The curve C, is an arc of the unit circle centered at the origin. Show that: (a) The scalar curl of ...

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Q: Let A=(0, π ) υ (π e?] %3D c. Is A a closed set? d. Does A contain any isolated points? е. Find the ...

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Q: B. On the line before each item, write TRUE if the statement is correct and FALSE if the statement i...

A: To find which of the statement is true and which is false :-  Note :- {The area "a" in the graph is ...

Q: J why boyther to define the Lebesgue do we integrad, wasn't the Riemann integrd good enough? Explain

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Q: Find the equation of the quadratic function in factored form that has roots 3 and -1 and passes thro...

A: The standard form of the quadratic function is fx=ax2+bx+c, where x is a variable and a, b and c are...

Q: Use generating functions to determine the number of 9-digit sequences of the digits 1,2,3,4,5,and 6 ...

A: We need to find ,  number of 9-digit sequences of the digits 1,2,3,4,5,and 6 in which each even digi...

Q: Use ß- function deźinifion af pirivative to Prove that f is differentiable at2, then f is continnos ...

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Q: dy of y = sin(3x² + 5x – 4) * In(e*) is dx

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Q: Suppose that A and B are two events for which P(A) = 0.29, P(B) = 0.74, and P(B|A) = 0.42 Find each ...

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Q: If the sum of first n even natural number is 420,find the value of n

A: Problem:- If the sum of first n even natural number is 420,find the value of n first n even natural ...

Q: - Part 1 Graph and shade the points (if any) that satisfy the following system of linear inequalitie...

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Q: Express the complex number 2 + 2√3 i in polar (trigonometric) form.

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Q: fund the laplace of Cos it CoS Bt dt

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Q: a dilation by a scale factor of 3 centered at the origi

A: In this question, the concept of dilation centered at the origin is applied. If the center of dilati...

Q: Question. Let f:[0,1] → R be a function such that f (x) = x³. Prove that f is R-integrable and deter...

A: Let , f : 0 , 1 → ℝ be a function such that ,  f(x) = x3 We need to show that , f is Riemann integra...

Q: EXERCISE 18.2 2. y 3x + 6 1. yx-1 4. y+2x 3 3. y-+2

A: Intercept of a line : It is a point on the line that touches x-axis and y-axis x-intercept is the po...

Q: facR,af ischiffontiable at xo gisdiffera tible at to anol

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Q: 2y)j + x the point

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Q: 6. [0/1 Points] DETAILS PREVIOUS ANSWERS EPPDISCMATH5 9.7.024. Use the binomial theorem to expand th...

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Q: The average product of labor on a fencing crew with 4 workers is 0.6 miles per employee per day. The...

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Q: Directions: Find the derivatives of each of the following. 1. y = sin-'(4x²) 2. h'(x)if h(x) = e*sin...

A: We have to find the derivatives of the given real-valued functions y and hx with respect to the vari...

Q: A = -3 4 3 0 -1 1 -3 3 1 4 -3 9 1 3 -1 3

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Q: 6. If a series Eu, converges to the sum u then so does any series obtained from Eu, by grouping the ...

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Q: Express (3-5i)(1+i)/4+2i in the form of a+ib.

A: Let  Z = a + ib

Q: 3 10. 4 2

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Q: Exercises 1. Show, by drawing, that the following graphs are planar: (i) the wheel W5; (ii) the grap...

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Q: d. Find the multiplicative inverse of 5. e. Explain why division is not well-defined in Z, .

A: We will apply multiplication modulo 12 to find multiplicative inverse of 5.

Q: 6. If a series Lu, converges to the sum u then so does any series obtained from Lun grouping the ter...

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Q: Let T : R? → R? be a linear transformation that sends ēj to x1 and e, to x2. If T maps (-9, -2) to t...

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Q: O Let (eto-) is aring of complex-numberrs and M be aringof2x2 matrices aud desined as sollows. g e M...

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Q: /Find all the second-order partial derivatives of the functions 1. g(x, y) = xy + cos y + y sin x

A: If z=g(x,y), then the variables x, y are called the inputs of the function, and z is called the outp...

Q: Σ In n converges or dive ermine whether the series n=1 n conver

A: In this question, the concept of convergence is applied. Convergence The feature of approaching a li...

Q: one of themore important theroman real ani llyGes is Fa tou's lemma. state the lemma and say Sometih...

A: In the question , basically asking for Fatou's Lemma and its proof .   Fatou's  Lemma  :  Let {fn}  ...

Q: a) Compute the adjugate of the given matrix A and then compute the inverse of the matrix 1 0 2 A = 4...

A: We have to find the adjugate of the matrix A. We know that the adjugate is the synonym of the adjoin...

Q: Given the difference equation: y[n] - 0.7y[n-1] = x[n] with initial conditions y[-1] = 14 and causal...

A: Introduction: The difference equation deals with discrete variables. It defines the difference betwe...

Q: Define f : [0, 0) →R by f(x) = x. Find a function g: R → R such that gof is one-to-one, but g is not...

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Q: Show that if n is an integer and n³ + 5 is odd, then n is even using a) a proof by contraposition. b...

A: Proof by contradiction and contraposition

Q: he nth term of the following sequence : -1/5, 3/8, -5/11, 7/14, -9/17

A: In the given question, the concept of the sequence is applied. Sequence A series is created by a seq...

Q: la) show that the necessary & sufficient condition VE constant to be constant gcodesic on EE, +FE, -...

A: Geodesic Curve: Let A and B be two given points on a surfaces. Let these points be joined by curves ...