(2, Prove that Ž (Pn+ Pn+1) hr 9=U (y+1) 27-²8 (14+ 2x=-1) y

Q: Explain Theorem of Solutions of Nonhomogeneous Systems?

A: To Explain: The theorem of Solutions of Nonhomogeneous Systems.

Q: The coordinates of two points A and B are (3, 4) and (5,-2), respectively. Find the coordinates of…

A: Given that the coordinates of two points A and B are A3,4 and B5,−2 respectively. Also given PA=PB…

Q: Express (2-1) in partial fractions. If sin A=, prove that tan A+ sec A = 3, when A is an acute…

A:

Q: f(x) = x² - 2x and g(x) = In (x-1). Find x if (fog)(x) = 0 If f(x) = x) = √x, g(x) = x + 5 and…

A: As Per Bartleby Answering Guidelines We Solve only First One Problem Solution - 4 : Given that the…

Q: a) Describe the curve obtained when we make y = 2 and 2= √2 a f b) Represent on this curve the…

A: Given That : y=2 and z=2 To Find : a) Describe the Curve obtained when y=2 and z=2 b) Represent on…

Q: 4 Find the F.T. of the following Signals using differentiation. pro X(t) = 2 S (t+2) - 2 S(t-2)…

A:

Q: DEFINE COMPLEX EIGENVALUES WITH NEGATIVE REAL PART?

A: In this question,  we have to define the complex Eigen values with negative real part.

Q: Let and I be subspaces of vector space V, let TE L(V). Q2) If U and W are invariant under T, prove…

A:

Q: Given two lines in space, either they are parallel, they intersect, or they are skew (lie in…

A: Let us consider the lines x-x1a1=y-y1b1=z-z1c1x-x2a2=y-y2b2=z-z2c2 The lines are parallel if…

Q: Angle of a line with the positive direction of the x-axis is e (e is a cute). The line is rotated…

A:

Q: 3.) 12 sin ¹3t Note: a¹ = (a²)² 2

A:

Q: 21-25. A marble is selected from a bag containing 1 blue (B), 1 green (G) and 1 red (R) marble. Then…

A:

Q: State whether the entire statement is true or false, and explain why. a) The light is on and the…

A:

Q: If the roots of the equation a(b-c)x² + b(c-a)x+ c(a - b) = 0 are equal, show that 2/b = 1/a + 1/c.

A:

Q: 1 400 000 275 000 2 181 250 110 938 58 203 depicts the value (in Rands) of an automobile at…

A: Since there are multipart, so here find the solutions of part (a) and polynomial of part (b) and…

Q: 1 Express the following functions in the form utiv f(Z) = ln (1+z) @

A:

Q: Find the F. T of the following Signals. X(t)=28(t + 2) — 28(t-2)-rect(+¹)+rect(¹¹) - er

A:

Q: 7. Find y' for sin.x+sin y = 1. 8. Find y' for xcos y = sin(x + y).

A:

Q: A standard deck of 52 cards consists of 4 suites (hearts, diamonds, spades and clubs) each…

A:

Q: Transform the below system into the simpler upper triangular form? a11x1 + a12x2 +. . .   + a1nxn =…

A: Given system is a11x1+a12x2+...+a1nxn=b1a21x1+a22x2+...+a2nxn=b2⋮an1x1+an2x2+...+annxn=bn Using…

Q: Q1:/Verify that the given function is harmonic and find it is harmonic conjugates so that f(z) = u +…

A:

Q: ) A Cylinder tank of radius 4m and height 10m is initially filled with water. At the bottom of the…

A: Given that radius of a Cylinder tank is 4 meters and Height of tank is 10 meters. A hole is at the…

Q: Explain ONE ZERO AND ONE POSITIVE EIGENVALUE?

A: In this question, we have to explain one zero and one positive eigen value.

Q: Transcribe the following text in digital format please

A: Introduction: The set of all the elements that are either in A or in B is the union of the two sets…

Q: 2. If the edge of a cube is 1.75 m, then how many square centimeters are there in its entire…

A: Sol:- Edge of Cube = a = 1.75m Entire surface area = 6a2

Q: 5) Form a DE by eliminating the arbitrary constants from the equation y = asin(4x + 1).

A:

Q: Transcribe the following text in digital format please

A: Binomial theorem is given by:x+yn=∑r=0nCrnxn-ryrlet P(n) =x+yn=∑r=0nCrnxn-ryr =…

Q: Suppose that ACR is bounded below, and define B = {b € R | b is a lower bound for A}. Prove that sup…

A:

Q: Find the range of the function f(x) = x² - 2x - 4.

A:

Q: If y=x² - 4x and x = √2r²+1; find dy dt when t = √2.

A: NOTE: According to guideline answer of first question can be given, for other please ask in a…

Q: Calculate the following double integrals and draw the region of integration.

A: Given: The integral is ∫12∫yy3exydxdy. To find: The value of the given integral. To sketch: The…

Q: A conditional statement is not logically equivalent to its converse or inverse. But it is logically…

A:

Q: Q4:B/Simplify [cos 20-i sin2018[cos 30+ i sin301² [cos 40+ i sin40]³[cos 20-i sin2015 using De…

A:

Q: Q2:/ Sketch the region (R) of integration S x² dydx and evaluate the integration. Then reverse the…

A: Given the region y=2-x2 and the line y=x in xy plane.

Q: Identify the characteristics of the function below by dragging the options into the appropriate…

A:

Q: 6. By using the power method, the smallest eigenvalue A of the nonsingular matrix B equal to…

A: Answer is 'False'.

Q: Find the F. T of the following Signals X(t)=28(t + 2) — 28(t-2)-rect(+¹)+rect(²¹)

A:

Q: A/ Show that as a half range series of cosine terms for 0 < x < 1, π² /cos 2x cos 4x cos 6x +- 6 +…

A:

Q: Using the definition of Big-Oh, prove 2n = O(n¹.00¹). [Hint: O(f(n))={g(n) | 3 c, no • \n > no •…

A:

Q: Apply Fourier transform, jw F(w) = F₁ (w) + F₂ (w)...... equation 2 |F₁(t) = −8(t + 2) +…

A: Sol

Q: . In Problems 15 and 16, verify that a · (a × b) = 0 and b. (a × b) = 0. 16. a = ⁄i − ¹⁄j, b = 2i −…

A:

Q: Find the general solution of the following equations: a) 2xy dx+(1+x²)dy=0 b) y'+(4/x)y=x* --by…

A:

Q: 1/ Let (X₁T) and (Y₁J.) be top spaces and fix-x be a surjective and continuousmap, then y is Compact…

A:

Q: Let f(x) = x³ + x + 1 and P(x) be a cubic polynomial such that P (0) = -1 and roots of P (x) = 0 are…

A:

Q: Q1. L{t sint cos t} = (a) 8 (b) (3²+4)² 2 (c) (d) -2s (8²+4)2 2s (s²+4)² 2 <-8 (s²+4)²

A:

Q: How many real solution the equation have? x^5+x=1

A: Sol:- Let's find the solution of the given equation:- x5+x=1x5+x-1=0Find one solution for x5+x-1=0…

Q: (a) Verify that if c is a constant, then the function defined piecewise by So y(x) = (x - c)? for x…

A: (a) Consider the given piece-wise function, yx=0for x≤cx-c2for x&gt;c Now, differentiate the…

Q: First verify that the given vectors are solutions of the given system. Then use the Wronskian to…

A: Given system is x'=3-20-13-20-13x First given vector is x1=et221 Now, x1'=et221 and,…

Q: Determine the right most digit of 10000 the number 2 7x 137

A:

Q: Find. For the ectre

A: Sol